Tell whether the equation has one, zero, infinitely many solutions.
3 ( y-2) = 3y - 6
infinitely many solutions
Step-by-step explanation:Hi there !
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 | + 6
3y = 3y
true ∀ y ∈ R
Good luck !
Round the factors and estimate the products.
a.
656 x 106 -
น
b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out
Answer:
a. 70,000
b. 24,000,000
c. 3,600,000
Step-by-step explanation:
You round all the numbers and multiply the rounded numbers.
So...
a. 656 = 700
106 = 100
7000*100= 70,000
b. 3108 = 3000
7942 = 8000
3000*8000= 24,000,000
c. 425 = 400
9311 = 9000
400*9000= 3,600,000
k(x) = (x + 1)2 – 25
What would this be rewritten in factored form?
Answer:
[tex]k(x)=(x-4)(x+6)[/tex]
Step-by-step explanation:
[tex]k(x)=(x+1)^2-25\\\\[/tex]
to factorize it you have to remember the difference of squares that says
[tex]a^2-b^2=(a-b)(a+b)[/tex]
so we have
[tex](x+1)^2\\\\(x+1)^2=a^2\\\\25\longrightarrow 5^2\\\\5^2=b^2\\\\[/tex]
and we apply the formula
[tex](x+1)^2-25=[(x+1)-5][(x+1)+5]\\\\=(x+1-5)(x+1+5)\\\\=(x-4)(x+6)[/tex]
so there you have it
[tex]k(x)=(x-4)(x+6)[/tex]
The function r(x) = –0.000345(x – 50)2 + 2.1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x, in feet. A European firm studying these curves is going to convert feet to meters using the function m(x) = 0.3048x. Which composition can be used to model the curve of the road in terms of meters?
Answer:
- 0.000105156(x - 50)² + 0.64008
Step-by-step explanation:
Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :
To convert the curve model in feets to metres +, using the function :
m(x) = 0.3048x
Multiply m(x) by r(x)
Hence,
m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)
m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters
A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of 2 meters above the water. The flare has an initial vertical velocity og 30 meters per second. How long does it take the flare to reach its maximum height? What is that height?
Answer:
Step-by-step explanation:
time taken to reach the max height is expressed according to the projectile equation;
tmax = u/g
Given u = 30m/s
g is the acceleration due to gravity = 9.81
t = 30/9.81
t = 3.0secs
hence it will take the flare 3.06secs to reach its maximum height.
Max height = u²/2g
Max height = 30²/2(9.81)
Max height = 900/19.62
Max height = 45.87m
If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m
Write the equation of the line in slope-intercept form containing the point (2,4) and with a slope of
3/2.
Answer:
y=3/2x+1
Step-by-step explanation:
y=mx+b is the slope-intercept form
y=3/2x+b
we are looking for b now
plug in the points you provided
2=x, 4=y
4=3/2(2)+b
4=3+b
b=1 which is the intercept
can some one plz help me with a queston i posted
Answer:
ok what is it
Step-by-step explanation:
What is the lcm of 12 & 9 pls help im in class and i dont have a clue
Answer:
36 is the lcm of this question
Which division problem does the number line below best illustrate?
A number line going from 0 to 2 in increments of 0.2.
2 divided by one-fifth = 10
1 divided by one-fifth = 10
2 divided by one-tenth = 5
1 divided by one-tenth = 5
Answer:
A
Step-by-step explanation:
Hope this helps!!!!!!!!!!!!!!!!!!:)
Answer:
is it C OR A
Step-by-step explanation:
Three years ago, Jolene bought $500 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 1 2 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
Answer:
The stock is worth $702.5.
Step-by-step explanation:
Giving the following information:
Present Value= $500
Number of periods (n)= 3 years
Growth rate (i)= 12%
To calculate the value of the stock today, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.12^3)
FV= $702.5
The stock is worth $702.5.
help awnser attach the awnser using image
Step-by-step explanation:
Hey there!
The given points are; (-4,-1) and (4,2).
Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{2 + 1}{4 + 4} [/tex]
Simplify it.
[tex]m = \frac{3}{8} [/tex]
Therefore, the slope is 3/8.
Hope it helps...
Estimate the sum 59.6 + 51.4
Answer:
111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
Can you solve Please ASAP!
Answer:
x = 7/12
Step-by-step explanation:
Write the expression in exponential form with the base of 2
[tex]2x^{3x-3}[/tex] = [tex]32^{3x-2}[/tex]
[tex]2^{3x-3}[/tex] = [tex]2^{15x-10}[/tex]
Since the bases are the same, set the exponents equal
x - 3 = 15 - 10
Move variable to the left-hand side and change its sign
3x - 15x - 3 = -10
Move constant the the right-hand side and change its sign
3x - 15x = -10 + 3
Collect like terms
-12x = -10 + 3
Calculate the sum
-12x = -7
Divide both sides o the equation by -12
x = 7/12
Solution
7/12
Alternate form
x = 0.583
can u simplify 18/56 into a fraction?
Answer:
9/28
Step-by-step explanation:
just divide by 2
Answer: 9/28
Steps: 18/56
Factor the number: 8 = 2 · 9
Factor the number: 56 = 2 · 28
Cancel the common factor: 2
9/28
Plz mark brainliest:)
-5(x) = -4x - 11
please help i don’t understand i need to evaluate the function
Answer:
x=11
Step-by-step explanation:
-5x=-4x-11
-5x+4x=-11
-x=-11
x=11
Find the area of the whole triangle . Show all work.
Answer:
44 i believe
Step-by-step explanation:
Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3? (1 point)
x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right
Answer:
A number line with a closed circle on 6 and shaded to the right.
Step-by-step explanation:
Answer:a number line with a closed circle on 6 and shading to the right
Step-by-step explanation:I think I’m right! Good luck
The quotient of –125 and 5 is
.
The quotient of –264 and –12 is
.
The quotient of 0 and –350 is
.
The quotient of 276 and –8 is
.
Answer:
1= -25
2= 22
3= 0
4= -34.5
Answer:
1 negative
2 positive
3 zero
4 negative
Step-by-step explanation:
Hope this helps :D
What is the name of the triangle in which two sides have the same length and the corresponding two angles have the same size?
a. right
b. isosceles
c. scalene
d. obtuse
Please select the best answer from the choices provided
A
B
C
D
Answer:
It is a Isosceles triangle
Step-by-step explanation:
The name of the triangle is an isosceles triangle.
Option B is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Right:
A right triangle is a triangle that has one angle measuring 90 degrees (a right angle).
It can have different side lengths and angles, but it must have one right angle.
Isosceles:
An isosceles triangle is a triangle that has at least two sides of equal length and the corresponding angles opposite those sides are equal.
The third side can have a different length, and the third angle opposite that side will be different from the other two angles.
Scalene:
A scalene triangle is a triangle that has no sides of equal length and no angles of equal measure.
All three sides and angles are different.
Obtuse:
An obtuse triangle is a triangle that has one angle that measures greater than 90 degrees (an obtuse angle).
The other two angles will be acute angles, measuring less than 90 degrees.
It can have different side lengths, but it must have one obtuse angle.
So,
The name of the triangle in which two sides have the same length and the corresponding two angles have the same size is an isosceles triangle.
Therefore,
The name of the triangle is an isosceles triangle.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
what is the average rate of change for the line graphed in the figure above
Answer:
5/8
Step-by-step explanation:
I used the slope formula of y2-y1/x2-x1
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara had initially?
Write the equation to be used to solve this equation.
Answer:
i think 4 attires
Step-by-step explanation:
Amy can run the 150 meter dash in 50 seconds. John can run 1200 meters in 400 seconds. How fast does Amy run. How fast does john run?
Answer:
Amy and John both run 3 meters in 1 second
Step-by-step explanation:
Amy: 150/50=3 meters in 1 second
John: 1200/400=3 meters in 1 second
(This is on my quaturly check Help!!!) ABC and CBD are supplementary angles. m/ABC=(5x+12) and m/CBD=(13x+24).Complete all the parts plz!
Answer:
Step-by-step explanation:
Part (A).
Angles ABC and CBD are the supplementary angles.
Therefore, m(∠ABC) + m(∠CBD) = 180°
Now substitute the measure of each angle in the equation,
(5x + 12)° + (13x + 24)° = 180°
18x + 36 = 180
18x = 180 - 36
18x = 144
x = 8
Part (B).
m∠ABC = (5x + 12)
= 5(8) + 12
= 52°
m∠CBD = (13x + 24)
= 13(8) + 24
= 104 + 24
= 128°
Part (C).
We can check the results by adding measures of these angles.
m∠ABC + m∠CBD = 52 + 128
= 180°
Therefore, both the angles are supplementary angles which is already given.
Pls help...
It is 12 points... Really need it for today
If 5x+1=-14, find the value of 3x+1.
Next question; If 4(s+2)-2=22, find the value of 3s+2.
Thank you!!! If you could answer this quickly pls.
Solve for x and y.
(please help asap)
Answer:
x = 4
y = 1
Step-by-step explanation:
At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°
∵ The sum of the interior angles of a triangle is 180°
∴ 52° + 90° + (6x + 14y)° = 180°
→ Add the like terms
∴ 142° + (6x + 14y) = 180°
→ Subtract 142° from both sides
∴ (6x + 14y)° = 38° ⇒ (1)
→ By using the two triangles
∵ The two triangles are congruent
∴ (15x - 8y) = 52° ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by 5 and equation (2) by -2 to make the
coefficients of x equal in values and different in signs
∵ 5(6x + 14y) = 5(38)
∴ 30x + 70y = 190 ⇒ (3)
∵ -2(15x - 8y) = -2(52)
∴ -30x + 16y = -104 ⇒ (4)
→ Add equations (3) and (4) to eliminate x
∵ 86y = 86
→ Divide both sides by 86 to find y
∴ y = 1
→ Substitute the value of y in equation (1) to find x
∵ 6x + 14(1) = 38
∴ 6x + 14 = 38
→ Subtract 14 from both sides
∴ 6x = 24
→ Divide both sides by 6
∴ x = 4
Some friends went to dinner. They left a 15% tip. If their meal cost was $28.00, what was the
amount of tip they left?
Answer:
$4.20
Step-by-step explanation:
0.15 x $28.00=$4.20.
The graph below shows a dilation. Jacky says that the original image was enlarged, but Juan thinks the original image was reduced. Who is correct? How do you know?
Answer:
Jacky is correct
Step-by-step explanation:
If you look closely, There's another point A which an apostrophe. (A')
This normally means that this is point A after a dilation was made.
The image got bigger.
Tell whether the ratios form proportions
4:20 and 6:30
9/18,3/8
9514 1404 393
Answer:
yesnoStep-by-step explanation:
1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.
4 : 20 = 1 : 5
6 : 30 = 1 : 5
__
2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.
9/18 = 1/2
3/8 = 3/8
Courtney walks 3 laps around a 3-mile track. [1 mile is 5280 feet]. How far does she walk?
Answer:
9 miles, or 47520 feet :)
Step-by-step explanation:
Answer:
47520
Step-by-step explanation:
3x3=9
5280*9=47520