The y-intercept which is the point at which x = 0 is; A: -10
How to find the y-intercept?The general form of an equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
We are given the slope;
m = -4
Now, the line passes through the point 0, -10. Thus;
(y - y1)/(x - x1) = -4
(y + 10)/(x - 0) = -4
y + 10 = -4x
y = -4x - 10
Thus, the y-intercept which is the point at which x = 0 is; y = -10
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11. (04.01 MC)
Choose the system of equations that matches the following graph: (1 point)
The linear functions that match the following graph are given by:
2x + y = 0.-5x + y = -7.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The system of equations in this problem is composed by two lines.
The decaying line goes though (-2,4) and (2,-4), hence the slope is given by:
m = (-4 - 4)/(2 - (-2)) = -2
Hence:
y = -2x + b
When x = -2, y = 4, hence we find b as follows:
4 = -2(-2) + b
b = 0.
Hence:
y = -2x -> 2x + y = 0.
The increasing line goes though (1,-2) and (2,3), hence the slope is given by:
m = (3 - (-2))/(2 - 1) = 5
Hence:
y = 5x + b
When x = 1, y = -2, hence we find b as follows:
-2 = 5 + b
b = -7.
Hence:
y = 5x - 7.
-5x + y = -7.
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Write the slope-intercept equation of the line that passes through the given points (1,-7),(5,-15)
Answer:
y=-2x+5
Step-by-step explanation:
The slope is
[tex] \frac{ - 15 - ( - 7)}{5 - 1} = \frac{ - 8}{4} = - 2[/tex]
Substituting into point-slope form,
y + 7 = -2(x-1)
y + 7 = -2x + 2
y = -2x + 5
A university surveyed its students on their opinions of campus housing. the following two-way table displays data for the sample of 200200200 students who responded to the survey. how many students in this sample had a negative opinion of campus housing? students gender positive opinion negative opinion neutral opinion male 404040 363636 141414 female 424242 565656 1212
Of students in the sample, 90/200 fraction of the students were male.
What is a fraction?In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, and the bottom number is known as the denominator.To find the fraction of male students:
Number of male students = 90
Number of female students = 110
So, total students = 90 + 110 = 200
Fraction of students who were male = male students / total students
Fraction of students who were male = 90/200
So, 90/200 fraction of the students were male.
Therefore, 90/200 fraction of the students were male.
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The question you are looking for is given here:
A university surveyed its students on their opinions of campus housing. The following two-way table displays data for the sample of
200 students responded to the survey.
A plot of land has been surveyed for a new housing development with borders AB, BC, DC, and DA. The plot of land is a right trapezoid with a height of 60 feet and an opposite leg length of 65 feet.
Right trapezoid A B C D is shown. Angles A and D are right angles. Sides A B and D C are parallel. The length of A D is 60 feet and the length of B C is 65 feet.
If the measure of angle BCD is 67.4°, the measure of angle ABC is
°.
If the length of base AB is 80 feet, the length of DC is
feet.
Answer:
90 approximately because if AB is 80 then DC should be 90 because AB come before DC in letters
Answer:
112.6 degrees and 105 feet.
Step-by-step explanation:
took the assignment
Sabrina finished 8/11 of her math assignment. if there are 22 problems in her assignment what fraction represents the number of problems completed over the total number of problems in the assignment ?
The fraction 16/22 represents the number of problems completed over the total number of problems in the assignment.
According to the question,
There are 22 problems in her assignment and Sabrina finished 8/11 of her math assignment.
In order to find the fraction represents the number of problems completed over the total number of problems in the assignment.
(8/11) * (2/2) = 16/22
Hence, the fraction 16/22 represents the number of problems completed over the total number of problems in the assignment.
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You buy 4 health bars and 3 health drinks for $10. your friend buys 6 health bars and 2 health drinks for $10.
Answer:
The bars cost 1 each and the drinks cost 2 each.
Step-by-step explanation:
Let b = bars and d = drinks
4b + 3d = 10 6b + 2d = 10
There are a few ways to solve this. If I want to eliminate the b's from both equations. I would multiple the first equation all the way through by -6 and the second equation all the way through by 4.
4b+ 3d = 10
-6(4b + 3d) =(10)-6 Multiple all the way through by -6
-24b -18d = -60 A positive multiplies by a negative is a negative
6b + 2d = 10
4(6b + 2d) = (10)4 Multiple all the way through by 4
24b + 8d = 40
Take the two bold equations from above and add them together
-24b - 18d = -60
24 b + 8d = 40
-10d = -20 Divide both sides by -10
d = 20 A negative divided by a positive is a negative.
Plug in 2o for d in either of the top two equations and get b = 1.
335cm rounding off to the
nearest
Answer:
nearest what?
Step-by-step explanation:
nearest tens's=340
nearest hundred's=300
Rachel is getting a sundae where the cost is proportional to the weight of the sundae she makes. last time rachel went she bought a 12-ounce sundae for $4.20. this time she buys a 17-ounce sundae. let c be the cost of the sundae. set up and solve a proportion for c.
Using proportions, the cost of the 17-ounce sundae is of $5.95.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Considering the 12-ounce sundae bought for $4.2, the cost per ounce is given by the following proportion:
$4.2/12 = $0.35.
Hence the cost of a 17-ounce sundae is:
$0.35 x 17 = $5.95.
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Find the scale factor of TUVW to ABCD
Answer:
the scale factor is :
[tex]\frac{9}{15}[/tex]
Step-by-step explanation:
The trapezoids TUVW and ABCD are similar
and AB is the corresponding side of the side TU
Then the function that transform TUVW to ABCD is of scale factor :
[tex]= \frac{AB}{TU}[/tex]
[tex]= \frac{9}{15}[/tex]
The roots of functions are approximately x =0 sec and x =9.8 sec the first root tell us that the height of arrow was 0 meters
The complete statements are:
The first root tells us that the height of the arrow was 0 meters above his bow after 0 seconds The second root says that it takes approximately 9.8 seconds for the arrow to return to the height of the bow. We can interpret our vertex to mean that at approximately 5 seconds at 120 metersHow to complete the blanks?The complete question is added as an attachment
The roots are given as:
x = 0 second
and
x = 9.8 seconds
x = 0 implies that the height of the arrow was 0 meters above his bow after 0 seconds
x = 9.8 implies that it takes approximately 9.8 seconds for the arrow to return to the height of the bow.
The x-value of the vertex is
x = (0 + 9.8)/2
Evaluate
x = 4.9
Approximate
x = 5
This means that the vertex is approximately 5 seconds
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HELP ASAP PLS
Select the correct answer from each drop-down menu.
Quadratic function f is shown on the graph.
I don't know what the options are in the drop-down menu but the function f is symmetric around the point (4,–1) which is called the axis of symmetry. (4,–1) is the minimum of the graph.
Point Y is the circumcenter of ΔDEF.
Point Y is the circumcenter of triangle D E F. Lines are drawn from the points of the triangles to point Y. Lines are drawn from point Y to the sides of the triangle to form right angles and line segments Y L, Y M, and Y N. The line segments cut the sides of the triangles into 2 equal parts. The length of F Y is 3 x + 7 and the length of Y E is 5 x minus 3.
Find FY.
5
11
17
22
The length of FY in the triangle that has Y as its circumcenter is: D. 22 units.
What is the Circumcenter of a Triangle?The circumcenter of a triangle is the point where the three perpendicular bisectors of the sides of a triangle intersect.
Based on the definition of the circumcenter, and Y is the circumcenter, therefore:
YE = FY
Plug in the values
5x - 3 = 3x + 7
5x - 3x = 3 + 7
2x = 10
x = 5
FY = 3x + 7 = 3(5) + 7
FY = 22 units.
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Answer:
D
Step-by-step explanation:
help
11-16
please i dont understand
Answer:
see attached
Step-by-step explanation:
There are many vocabulary words and theorems associated with angles where a transversal crosses parallel lines. These are needed for the "explain your reasoning" part of the question.
Where 2 lines crossWhere one line crosses another, the angles formed are either "adjacent" (share a side and vertex), or "vertical" (share only a vertex, formed from opposite rays). In Figure 11, x° and 67° are "adjacent" angles. In Figure 12, y° and 109° are "vertical" angles.
The adjacent angles are also called a "linear pair", and their total is 180°. They are supplementary.
The vertical angles are congruent.
Where a transversal crosses parallel linesTwo sets of four angles are formed when a transversal crosses parallel lines. The relations between angles of one of those sets and angles of the other of those sets are described using several different terms:
"Alternate" angles are on opposite sides of the transversal. "Consecutive" or "same-side" angles are on the same side of the transversal. "Exterior" angles are outside the parallel lines. "Interior" angles are between the parallel lines. "Corresponding" angles are in the same relation to the point of intersection.
Alternate exterior angles (congruent): Fig. 11, x° and y°.
Alternate interior angles (congruent): Fig. 13, y° and the one marked with the right angle symbol.
Consecutive interior angles (supplementary): Fig. 12, x° and 109°; Fig. 14, x° and y°.
Consecutive exterior angles (supplementary): none shown in these figures.
Corresponding angles (congruent): Fig 14, x° and 65°; Fig. 16, x° and 130°.
The upshot of all of these relations is this:
all acute angles are congruentall obtuse angles are congruentobtuse angles are supplementary to acute anglesIf any angle is a right angle, all of them are.ApplicationThe attached table shows the values of x° and y° in the various figures. For the purpose here, we simply identified the angles as acute or obtuse, and matched values accordingly. The explanation can get as elaborate as you like. For example, ...
11. x° and y° are alternate exterior angles, so congruent. x° and 67° are a linear pair, so x° = 180° -67° = 113°.
12. x° and 109° are consecutive interior angles, so supplementary. x° = 180° -109° = 71°. y° and 109° are vertical angles, so congruent.
There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly select 7 students: What is the probability that more than 5 PASS their first statistics exam
The probability that more than 5 students will pass their exam is 0.0188416.
How to find the probability?The probability that a student passes their examination = 40% = 0.4
The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam
The probability that 6 students pass their exam =
[tex]7C_{6} (0.4)^{6} (0.6)^{1}\\=7(0.4)^6(0.6)\\=0.0172032[/tex]
The probability that 7 students pass their exam =
[tex]7C_{7} (0.4)^{7} (0.6)^{0}\\=(0.4)^7\\=0.0016384[/tex]
The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384
= 0.0188416
Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.
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18. A8 x 6 x 4 cm³ metallic cube is melted. Find the minimum volume of molten metal which should be added to
mould it into a cube whose edge is an integer.
(1) 20
(2) 21
(3) 23
(4) 24
The minimum volume of molten metal which should be added to mold It into a cube exists [tex]$24 cm^3[/tex].
How to estimate the minimum volume of molten metal?Volume exists as a scalar quantity representing the amount of three-dimensional space encircled by a closed surface.
The minimum volume of a shape with measured dimensions exists provided by the lowest values of the dimensions when accounting for measurement error. Maximum Volume: The maximum volume of a shape with measured dimensions exists provided by the highest values of the measurements when accounting for measurement error.
The volume of the cube [tex]= 8*6*4[/tex]
[tex]= 192 cm^3[/tex]
To create the X as the sides of the cube we should add material.
The nearest cube number to 192 exists at 216
The amount of material to be added exists
= 216 -192
[tex]= 24 cm^3[/tex]
The minimum volume of molten metal which should be added to mold It into a cube exists [tex]$24 cm^3[/tex].
Therefore, the correct answer is an option (4) 24.
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Drag the tiles to the correct boxes to complete the pairs Match each inequality to the number line that represents its solution
Answer:
x ≤ 7 => [tex]- \frac{13x}{18}[/tex] + [tex]\frac{5}{9} \geq - \frac{9}{2}[/tex]
x ≤ 8 => -[tex]\frac{x}{10}[/tex] + [tex]\frac{1}{5}[/tex] ≥ -[tex]\frac{33}{55}[/tex]
x ≤ -5 => - [tex]\frac{50x}{3}[/tex] - [tex]\frac{11}{6}[/tex] [tex]\geq[/tex] [tex]\frac{163}{2}[/tex]
x ≤ -6 => [tex]\frac{3x}{2}[/tex] + 105 ≤ 96
Step-by-step explanation:
-[tex]\frac{x}{10}[/tex] + [tex]\frac{1}{5}[/tex] ≥ -[tex]\frac{33}{55}[/tex]
[tex]\frac{1}{5}[/tex] + [tex]\frac{33}{55}[/tex] ≥ [tex]\frac{x}{10}[/tex] / *10
2 + 6 ≥ x
8 ≥ x
- [tex]\frac{50x}{3}[/tex] - [tex]\frac{11}{6}[/tex] [tex]\geq[/tex] [tex]\frac{163}{2}[/tex] / *6
- 100x - 11 ≥ 489
-500 ≥ 100x
-5 ≥ x
[tex]\frac{3x}{2}[/tex] + 105 ≤ 96
[tex]\frac{3x}{2}[/tex] ≤ 96 - 105 / * [tex]\frac{2}{3}[/tex]
x ≤ -6
[tex]- \frac{13x}{18}[/tex] + [tex]\frac{5}{9} \geq - \frac{9}{2}[/tex] /*18
-13x + 10 ≥ - 81
-13x ≥ -91 /:-13
x ≥ 7
A taxi charges $2.50 for the first mile and $0.40 for each mile after that. The expression below shows how to find the total cost, in dollars, of a 20-mile taxi ride. 2.50 0.40 (20 minus 1)
The expression which shows the total cost is 2.50+0.4x and the cost of riding 20 miles is $10.50.
Given a taxi charges $2.50 for the first mile and $0.40 for each mile
We are required to make an expression showing total cost and total cost of a 20 mile ride.
let the miles ride by tax be x.
Total cost of the product or service=Number of units*price of one units.
We have been given that $2.50 is fixed so we will not multiply our variable charge with $2.50 and multiply 0.40 with x.
So,the expression showing looks like 2.50+0.40x.
Now to find the cost when taxi travels 20 miles, we have to put x=20,
Cost=2.50+0.40*20
=2.50+(40*20)/100
=2.50+800/100
=2.50+8
=$10.50
Hence the expression which shows the total cost is 2.50+0.4x and the cost of riding 20 miles is $10.50.
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90 pointssss!Please help! On parts a, b, and c. Thank you!
A die is rolled twice. What is the probability of getting either a multiple of 2 on the first roll or a total of 6 for both rolls
The correct answer is 7/12.
What is probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.Let A = Getting multiple of on the first one
B = A total of for both roll
P (A U B) = P(A) + P(B) - P(A ∩ B)
[tex]\frac{18}{36} + \frac{5}{36} - \frac{2}{36} \\\\ = \frac{21}{36} \\[/tex]
[tex]\frac{7}{12}[/tex]
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7. Jeff and Stephen go to the mall. The two
boys buy a total of 15 T-shirts. Stephen gets
three less than twice as many T-shirts as Jeff.
a) Write an equation to represent the
information in the second sentence.
b) Write an equation to represent the
information in the third sentence.
c) Solve the linear system by substitution
to find the number of T-shirts each boy
bought.
d) If the T-shirts cost $8.99 each, how
much did each boy spend before taxes?
Answer:
Let j = number of shirts Jeff bought and s = the number of shirts Stephen bought.
a.) s + j = 15
b.) 2j - 3 = s
c.) Plug 2j -3 into the equation from question a.
2j -3 + j = 15
3j -3 = 15
3j = 18
j = 6
2j - 3 = s when j = 6
2(6) - 3 = s
s = 9
Jeff bought 6 shirts; Stephen bought 9 shirts.
d.) Jeff cost = 8.99(6) = $53.94
Stephen cost = 8.99(9) = $80.91
What is the common difference in this
recursive definition?
common is 1 because 3-2 is 1
A company has made a rubber ball for $0.02 per square foot. the company wants to spend a maximum of $1 each on a new ball. what is the diameter of the new ball to the nearest tenth of a foot?
The diameter of a new ball is 4.0ft
According to the statement
we have given that the the company wants to spend a maximum of $1 each.
And we have to find a diameter of a new ball.
Remember that for a sphere of diameter D, the surface area is
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
here the diameter of a ball is 4.0ft.
So, The diameter of a new ball is 4.0ft
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How many times larger is the volume of a cone if the radius is doubled?
Enter only a number as your answer.
Answer:
Here's my answer
it's not number but
hope this help
What is the slope of the line shown below?
(-1,-4)
(2, 2)
Answer:
2
Step-by-step explanation:
(-1,-4) (2,2)
To find the slope, use the equation y2-y1/x2-x1
2-(-4)/2-(-1) = 6/3
6/3=2
2 is the slope.
A _______ group is another name for a command group
Answer:
department
Step-by-step explanation:
A "task force" group is another name for a command group.
We have,
A task force is a temporary grouping of individuals or units with a specific objective or mission.
It is typically formed to address a particular task or problem and is led by a designated commander or leader.
Task forces can be assembled from different departments or organizations to collaborate and work together towards a common goal.
Thus,
A "task force" group is another name for a command group.
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What is the nth term of the sequence below?
2, 6, 12, 20, . . .
A. [tex]n {}^{2} \: + \: 1[/tex]
B. [tex]3n[/tex]
C. [tex]n(n \: + \: 1)[/tex]
D. [tex] {n}^{2} \: - \: 1[/tex]
Answer:
Option C
Kindly award branliest
Step-by-step explanation:
Tn = n(n + 1)
T1 = 1(1 +1) = 1(2) = 2
T2 = 2(2+1) = 2(3) =6
T3 = 3(3 + 1) = 3(4) = 12
T4 = 4(4 + 1) = 4(5) = 20
... It obeys
*100 Points*
1. Joey decides to spin the wheel 60 times. What is the expected outcome of spins? (How many times should it land on each space?)
2. Use your information from question 1 to determine whether or not this wheel is profitable for the person who owns the booth. Explain your reasoning in full sentences.
3. What could the booth owner do to make the wheel more profitable for himself? You may include a drawing of the more profitable wheel if you would like. Explain your reasoning in complete sentences
Please help me whoever answers all three I will mark brainlest
The expected outcome of spins based on the probability information is 60.
How to calculate the probability?From the information, Joey decides to spin the wheel 60 times. Therefore, the expected outcome of spins is 60.
The thing that the booth owner can do to make the wheel more profitable for himself is to make winning probability less than that of losing.
Here, the booth owner do makes the wheel more profitable for himself as the winning is smaller.
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i need help with this page
11. m ∠ BCE = 25 °
m ∠BAD = 39°
12. n = 11. 5°
13. The quadrilaterals are rectangle and parallelogram. Option A and C
14. HK = 8cm
How to determine the angles11. From the figure shown, we have that;
m ∠ EBC = 27°
m ∠ ADE = 52°
To find
m ∠ BCE
Note that m ∠ ADE is alternate and equal to m∠ DEC = 52 and is also on a straight line with ∠BEC
52 + ∠BEC = 180°
∠BEC = 180 - 52° = 128°
Remember that ∠BEC, ∠ BCE and ∠ EBC are angles in a triangle which sum up to 180°
128° + ∠ BCE + 27° = 180°
∠ BCE = 180 ° - 155°
∠ BCE = 25 °
To determine m ∠BAD
65° + 76 + m ∠BAD = 180° , sum of angles in a a triangle
m ∠BAD = 180 - 141
m ∠BAD = 39°
12. Value of n is gotten by equating the two lengths
( 10n + 19) = (12n - 4)
collect like terms
10n - 12n = -4 - 19
- 2n = -23
n = -23/-2
n = 11. 5°
13. The only quadrilaterals with congruent diagonals are;
rectangleparallelogram14. To find line HK
Substract the shortest line, IJ from the longest line GL
HK = GL - IJ
HK = 15 - 7
HK = 8cm
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Someone help me please
Answer:
50
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem to find the hypotenuse. a^2+b^2 = c^2
40^2+30^2 = c^2
1600+900 = c^2
2500 = c^2
50 = c
Find the equation of a straight line passing through the points (2, -2) and (3, -4)
Answer:
y = -2x + 2
Step-by-step explanation:
slope is found with (change in y/change in x), or in this case, (-4--2,3-2), which is -2
with the equation y = -2x + b, solve for b by plugging in the x and y values of one of the points
using (2, -2):
-2 = -2(2) +b
b = 2
so the equation is y = -2x + 2