if x is the amount of pets Bob has:
≥=greater than or equal to, bob has 3 pets or more thus
x≥3
Use the order of operations to simplify the following expression.
11 - 3 × 2.4 + 5
8.8
1.2
24.2
59.2
Which values of x and y would make the following expression represent a real number? (4+5i)(x+ yi)
Ox=4,y= 5
Ox=-4, y = 0
Ox=4, y=-5
Ox=0, y= 5
Answer:
C
Step-by-step explanation:
We have the expression [tex](4+5i)(x+yi)[/tex] and we want to find the values of [tex]x[/tex] and [tex]y[/tex] such that the expression will evaluate to a real number.
So, let's first expand the expression. Distribute:
[tex]=4(x+yi)+5i(x+yi)[/tex]
Distribute:
[tex]=4x+4yi+5xi+5yi^2[/tex]
Simplify:
[tex]=(4x-5y)+(4yi+5xi)[/tex]
So, we want to make the second part within the real numbers.
Notice that we only have two ways of doing this: 1) Either both [tex]x[/tex] and [tex]y[/tex] are imaginary numbers themselves canceling out the [tex]i[/tex], or 2), the entire expression equals 0.
Since our answer choices consists of only real numbers, this means that the imaginary part must be equal to 0. So:
[tex]4yi+5xi=0[/tex]
We can divide everything by [tex]i[/tex]:
[tex]4y+5x=0[/tex]
Now, we can use our answer choices.
Running down the list, we can see that the choice that works is C. If we substitute the values of C into the equation, we get:
[tex]4(-5)+5(4)=0\\\Rightarrow -20+20=0\stackrel{\checkmark}{=}0[/tex]
Therefore, our answer is C.
Answer:
c
Step-by-step explanation:
Abraham has visited country somebody he has a cold or visiting at least 50 countries he plans to choose a school by visiting five new countries per year (Y) for the next several years which inequality and solution shows the amount of years they will take for Abraham to meet his goal
Question:
Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.
Answer:
[tex]Countries \geq 50 + 5y[/tex]
[tex]y \leq 29[/tex]
Step-by-step explanation:
Given
[tex]Countries = 50[/tex] ------ at least
[tex]Yearly =5[/tex]
Required
Represent as an inequality
"at least" means [tex]\geq[/tex]
So the countries he has visited can be represented as thus;
[tex]Countries \geq 50[/tex]
If
1 year = 5 countries
y years would be 5y countries
So, in y years; he'd have visited
[tex]Countries \geq 50 + 5y[/tex]
To determine the value of y.
We have that
[tex]Countries = 195[/tex] in the world
Substitute 195 for Countries
[tex]195 \geq 50 + 5y[/tex]
Collect Like Terms
[tex]195 - 50 \geq 5y[/tex]
[tex]145 \geq 5y[/tex]
Divide through by 5
[tex]145/5 \geq y[/tex]
[tex]29 \geq y[/tex]
Reorder
[tex]y \leq 29[/tex]
This means that; he'll visit all countries in at most 29 years' time
HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
Show Work Pleaseeee
What is the m< BAD? ( If you are confused look at the picture provided)
Answer:
The measurement of angle BAD would be 120°.
How To Do It:
You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.
Set Expressions Equal To Each Other To Find The Value Of X:
(13x-31)=(x+53)----------add 31 to each side
13x=(x+84)----------subtract x from both sides
12x=84----------divide both sides by 12
x=7
Plug-In The Value Of X To Each Expression & Add:
(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient
(91-31)+(7+53)----------add/subtract numbers inside the parentheses
(60)+(60)----------add the final products together
120----------*Final Answer*
The equation yˆ=20646·0.86x estimates the value of a brand of car x years after it was purchased new. Milo purchased this brand of car when it was new. To the nearest dollar, what will be the approximate value of Milo's car 11 years after he purchased it?
Answer:
$195311
Step-by-step explanation:
Given the expression yˆ=20646*0.86x
Given that the number years 11
And x represent the number of years
Substituting x=11 in the expression for the cost we have
yˆ=20646*0.86(11)
yˆ=20646*9.46
yˆ=20646*9.46
yˆ=195311.16
From the analysis he purchased the car fro $195311
Answer:
K12 answer added in attachment below. :)
Step-by-step explanation:
1. What is 10% of 75?
Answer:
7.5
Step-by-step explanation:
i hope this helps!!
If f(x)=4x-3 and the domain of f is {0,5,10}, what is the range of f?
Choose two statements that are true fo of this expression. 5x^3- 6x^2 - 25/y + 18
Answer:
5x^3- 6x^2 - 25/y + 18 / y
Step-by-step explanation:
It would be that expression over y.
Sorry if its wrong I'm still learning too:)
Answer:
The answers are
*There are four terms.
*The term -25/y is a ratio.
Step-by-step explanation:
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!!!!!!!!!
Answer:72
Step-by-step explanation:
The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x, cubed, plus, 20, x, squared. The width of the rectangle is equal to the greatest common monomial factor of 8x^58x 5 8, x, start superscript, 5, end superscript, 12x^312x 3 12, x, cubed, and 20x^220x 2 20, x, squared.
The question is incomplete. Here is the complete question.
The rectangle bleow has an area of [tex]8x^{5}+12x^{3}+20x^{2}[/tex]. The width of the rectangle is equal to the greatest common monomial factor of [tex]8x^{5},12x^{3},20x^{2}[/tex]. What is the length and width of the rectangle?
Answer: width = [tex]4x^{2}[/tex]
length = [tex]2x^{3}+3x+5[/tex]
Step-by-step explanation: Greatest common factor is the largest number that will divide into that number without rest, i.e., it's a number that will result in an exact division. The same can be applied to a polynomial.
To find the greatest common factor:
1) Write each in prime factored form:
2.2.2.x.x.x.x.x + 2.2.3.x.x.x + 2.2.5.x.x
2) Identify the common factor among the terms:
For this polynomial, the repetitive factor is [tex]4x^{2}[/tex]
Therefore, the width of the rectangle is:
w = [tex]4x^{2}[/tex]
Area of a rectangle is the multiplication of width and length, so:
[tex]A=w*l\\l=\frac{A}{w}[/tex]
To calculate length, we will have to divide polynomials:
[tex]l=\frac{8x^{5}+12x^{3}+20x^{2}}{4x^{2}}[/tex]
[tex]l = 2x^{3}+3x+5[/tex]
Width and length of the rectangle are 4x² and [tex]2x^{3}+3x+5[/tex], respectively.
3 7/10 x 7 what is the answer in fraction form or decimal form. Perhaps both
Answer:
Step-by-step explanation:
3 7/10 *7
37/10 *7
259/10
25.9 or 25 9/10
What is 54 ÷ 2/3 ?
Answer: 79 1/2
Convert any mixed numbers to fractions.
Then your initial equation becomes:
53/1 ÷ 2/3
Applying the fractions formula for division,
multiply 53/1 by 2/3
= 159/2
Simplifying 159/2, the answer is
79 1/2
ZA and ZB are complementary angles. If mZA = (7x + 23)° and
mZB = (5x + 19)°, then find the measure of ZB.
Answer:
ZB= 39°
Step-by-step explanation:
complementary angles are angles that add up to equal 90
equation: 7x + 23 + 5x + 19 = 90
add like terms: 12x + 42 = 90
subtract 42 from both sides: 12x = 48
divide both sides by 12: x = 4
plug in the value of x to the equation for ZB: 5(4) + 19
simplify: ZB= 39°
Plz helllllpppppp meeeeee
Answer: x = 25 mi
Step-by-step explanation:
Sides QO and TR are corresponding.
Sides QP and TS are corresponding.
Sides OP and RS are corresponding.
Create the proportion to solve for x:
5/x = 6/30
Cross multiply:
6x = 150
Divide both sides by 6:
x = 25 mi
Hope this helps!
Multiply.
4.506 x 90.6
Answer:
408.2436
Step-by-step explanation:
Answer:
408.2436 is the answer, you can use calculator too if you want
What percent of 462 is 851?
Answer:
It is 54.29%.
Answer:
54.29
Step-by-step explanation:
Percentage Calculator: 462 is what percent of 851? = 54.29.
What is the slope of a line that passes through points (2, 4) and (8, 22)???????
Answer:
The slope is 1/3
Step-by-step explanation:
2-8/4-22
-6/-18
1/3
Reduce the equation of straight line 2x+3y = 12 in double intercept form and hence mention its X-intercept and Y-intercept.
Answer:
x intercept: (x,0)
y intercept: (0,y)
2x+0=12/÷2 0+3y=12/÷3
x=6 y=4
[tex] \frac{x}{a} + \frac{y}{b} = 1 \\ [/tex]
[tex] \frac{x}{6} + \frac{y}{4} = 1[/tex]
Find an expression which represents the difference when (10x-6y)(10x−6y) is subtracted from (7x-4y) in simplest terms.
Answer:-3x+2y
Step-by-step explanation:
Is 0.88 a terminating decimal
Answer:
no
Step-by-step explanation:
its a equation not a decimal making it false.
I'll give brainliest to correct answer please please please please help me I need these answers really fast I've already filled out a few blanks on the ss (they're probably incorrect) but I need you to check my answers and fill out the rest, please
Fill in each blank with a reason that justifies the statement. Given: XY = 36.
Statements Reasons
XZ + ZY = XY a. _____
3(n - 2) + 3n = 36 b. _____
3n - 6 + 3n = 36 c. _____
6n - 6 = 36 d. _____
6n = 42 e. _____
n = 7 f. _____
Answer:
[tex]6n - 6 = 36 \: d. - - - addition \:property \: of \: equality \\
6n = 42 \: e. - - - division \: property \: of \: equality \: \\ [/tex]
Angie is going to varnish the floor. Continued on other side of the page She needs 1 litre of varnish for 5 m2 of floor. There are 2.5 litres of varnish in each tin of varnish. Angie has 3 tins of varnish. Does she have enough varnish for all the floor? You must show all your working
Answer:
No, she doesn't have enough varnish for all the floors.
Step-by-step explanation:
Area of the floor, A= 10x6-5x2=50 [tex]m^2[/tex]
Since 5 m^2 required 1 liter of varnish.
So, the amount of varnish required for 1 [tex]m^2[/tex] = 1/5= 0.2 liters.
The amount of varnish required for 50 [tex]m^2[/tex] = 0.2X50=10 liters.
Now, as 1 tin has 2.5 liters of varnish.
So, the total amount of varnish available = 3x2.5=7.5 liters, which is less than the total requirement.
Hence, she doesn't have enough varnish for all the floors.
decimal expansion for 8/9
a. 0.8
b. 0.88
c. 0.9
d. 0.9
Answer: B
Step-by-step explanation:
Given f(x)=70+11x, find f(x)=158
Answer:
x=8
Step-by-step explanation:
I am assuming you need to find which x value fits this.
So set the two equations equal to each other
158=70+11x, subtract 70 from both sides
88=11x, now, divide by 11 to get x by itself,
8=x, to find these answers, use a calculator or any other method you want.
I dont have a question anymmore lol k thanks
Please help me this is my first assignment in math
Answer:
1,2,3 are Natural Numbers
Step-by-step explanation:
May i please get brainiest.
The answer:
Natural Numbers
2hr+20min+60sec are equal to _____ minutes
It is correct
Janice is making plans for her company party. She has a budget of $100 ta
spend. She plans to buy pizza for $12 each, but there will also be a $4
delivery charge. How many pizzas can she afford to buy?
1. Write the equation: ______
2. Janice can buy ___ pizzas for the party.
PLEASE HELP! <3
Please HELP!!! I will give 23 points!! Answer the following questions. Please answer correctly!!! Thanks!
1. c
2. c
3. a
4. a
5. d
DO NOT AWNSER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS
Could you please help me with this question and explain thoroughly?
Answer:
Please don't hold me to this. I think I'm right, but I'm rusty.
Step-by-step explanation:
Constant of proportionality is how much the graph grows for each increasing x value. Slope.
Also remember, rise over run.
Slope: 2nd y- 1st y
2nd x-1st x
y=mx+b
A) 4.95-3.75 = 1.2 = about $0.09 per ounce (x=0.9)
24-10 14
For every 14 oz, the cost goes up $1.2.
B) 360-150 = 210 = 15 calories per ounce (x=15)
24-10 14
For every 14 oz, there are 210 calories in the drink.