Answer:
[tex]1) \: \: \: \: \: 5(r + 2) \\ \: \: \: \: \: \: \: \: 5r + 10 \\ \\ 2) \: \: \: \: \: 6b(b - 2a) \\ \: \: \: \: \: \: {6b}^{2} - 12ab \\ \\ 3) \: \: \: \: \: 8cd(c - 2 + 40) \\ \: \: {8c}^{2}d - 16cd + 320cd \\ {8c}^{2}d - 304cd[/tex]
Answer:
Expand the following expressions.
1. 5 (r +2)
= (5×r) + (5×2)
= 5r + 10
2. 6b (b-2a)
= (6b×b) - (6b×2a)
= 6b²-12ba
3. 8cd (c-2 +40)
= (8cd×c) - (8cd×2) + (8cd×40)
= 8c²d - 16cd + 320cd
= 8c²+ 304cd
someone please answer question 4 and 5!! I have 14 minutes left till the exam end automatically
4.
Suppose that the geometric mean between 6 and 12 is x thus we have :
x^2 = 6 × 12
x^2 = 72
x = + √72 Or x = - √72 ( unacceptable )
x = + √9 × √4 × √2
x = 6√2
x = 6root2________________________________
5. similarity ratio = 24/20 = 30/25 = 6/5
The perimeter of a square is 4/5 what is its area
Answer:
1/25
Step-by-step explanation:
square has 4 sides, if you add them all up you get 4/5.
1/5+1/5+1/5+1/5=4/5
so each side is 1/5
Area=length * width
A=1/5*1/5=1/25
please help and explain these two problesm
-2a + 4 (a - b ) + 5b
x + 3 + 5 (x - 3)
a family sold a home for $425 000 and paid 6% commission.
a) how much was the commission?
b) how much did the family receive for the house?
c) what if the family had been able to pay only 5% commission. How much would the family have saved?
Answer:
Step-by-step explanation:
To do this take sale price, multiply it by the commission percentage, divide it by 100
Cross products: what number is missing?
Answer:
hi
Step-by-step explanation:
hope it helps have a nice day
Please answer below :-)
Answer:
(x+3)(x+2)
Step-by-step explanation:
The numbers 2 and 3 add to 5 and multiply to 6. Therefore when you put them in a factor box, you will end up with [tex]x^2+5x+6[/tex]
Answer 15 please algebra one
Answer:
a
Step-by-step explanation:
To obtain the inverse, rearrange the relation making x the subject
y = x² + 4 ( subtract 4 from both sides )
y - 4 = x² , or
x² = y - 4 ( take square root of both sides )
x = ± [tex]\sqrt{y-4}[/tex]
Change y into terms of x with x = [tex]f^{-1}[/tex] (x) , that is
[tex]f^{-1}[/tex] (x) = ± [tex]\sqrt{x-4}[/tex] → a
A girl has 7 coins in her purse. She has six 10c coins and one 50c coin.
She takes two coins at random from her purse,one after the other.
a)Draw a tree diagram to show all the possible outcomes.
In the figure BD||EG and the measure of angleACB=35 degree. What is the measure of angle GFH
A 35. B 55. C 135. D 145
Answer:
35 degree
Step-by-step explanation:
same degree as GFH
What are the roots (x intercepts ) of the equations below ? Show your work , Factor if possible or use Quadratic Equation . a ) y = x ^ 2 - x - 6 b). y = 2x ^ 2 + x - 6
Answer:
b.) y = 2x ^ 2 + x - 6
Step-by-step explanation:
carry on learning
find the slope of (1,5) (-1,-3)
Answer:
4
Step-by-step explanation:
Slope= y2-y1/x2-x1
(1,5) is placed as (x1,y1) and (-1,-3) is placed as (x2,y2)
Plug it in
-3-5/-1-1
Simplify
-8/-2 = 4
Slope=4
sketch the graph of the equation 3y+4x=2
Simplifying
3y + 4x = 2
Reorder the terms:
4x + 3y = 2
Solving
4x + 3y = 2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
4x + 3y + -3y = 2 + -3y
Combine like terms: 3y + -3y = 0
4x + 0 = 2 + -3y
4x = 2 + -3y
Divide each side by '4'.
x = 0.5 + -0.75y
Simplifying
x = 0.5 + -0.75y
The line connecting two coordinates (0,66) and (0.5,0) show below.
What is Mathematical equation ?
By definition, an equation is a mathematical statement made up of two expressions linked by an equal sign. In other words the equation represents the graph between x and y that is for each value of x there exist one value of y.
Here, the given equation is :
3y + 4x = 2
now, to sketch the equation in graph we need to find the two coordinate first,
Let, x= 0 then y will be :
3y+4x=2
3y = 2
y = 2/3 = 0.66
that is first coordinate is (0,66)
Now, for y = 0 , x will be :
3y+4x=2
4x = 2
x = 0.5
that is second coordinate will be (0.5 , 0)
Now, draw the line connecting these two points show below.
check and know more about equation of line here :
https://brainly.com/question/21511618
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An item is marked down to $357. If the original price is $525, what percent of the original price does the customer have to pay?
Answer:
68%
Step-by-step explanation:
hope this helps uwu
It’s linear so you map out the first differences and then put it into y=Mx+b form. For the you gotta find the y intercept
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's find the slope (m) :
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \dfrac{16 - 11}{9 - 6} [/tex][tex] \dfrac{5}{3} [/tex]slope of given line is 5/3
now, let's plug the value of coordinates of a point lying on the line ( for example : (6 , 11) and slope (m) to find the y - intercept (c) :
[tex]y = mx + c[/tex][tex]11 = \bigg(\dfrac{5}{ 3} \times 6 \bigg) + c[/tex][tex]11 = (5 \times 2) + c[/tex][tex]11 = 10 + c[/tex][tex]c = 11 - 10[/tex][tex]c = 1[/tex]value of y - intercept (c) = 1, so our equation will be :
[tex]y = mx + c[/tex][tex]y = \dfrac{5}{3}x + 1[/tex]Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y=−8
x=4
Choose the correct answer below.
A.
Perpendicular
B.
Neither
C.
Parallel
Answer:
A. Perpendicular
Step-by-step explanation:
**I recommend going to desmos; desmos is a graphing calculator and is super useful!
The sum of three consecutive odd integers is 459. What are the integers? (show your work please)
Answer:
151+153+155
Step-by-step explanation:
First you divide 459/3. That equals 153. Now you need 3 integers that add to 459. The first integer is 153 and now you subtract and add equal parts from it to get your other two. You subtract 153 by two and get 151. Then you add 153 by 2 and get 155.
1/4 x2 - 1/9 y2 factorization plz with explanation
Answer:
. . . . . . . . .
Step-by-step explanation: . . . . .
an = -2+5(n-1)
Rewrite the explicit formula of the given sequence in the form of y=mx+b
Hello!
Answer:
a=[tex]-\frac{7}{n} +5[/tex]
Step-by-step explanation:
Hope this helps!
If lighting strikes earth 1000 times in 10 seconds how much time does it take after 7250 strikes?
at a zoo, 3 pandas eat a total of 181 1/2 pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The female eats twice as much as the baby. How many pounds of bamboo shoots does the female panda eat? Steps
Which could be used to solve this equation?
33+n=9
Subtract 3 from both sides of the equation.
35-33+.9+33
Add 3 to both sides of the equation.
O 9+34-124
Answer:
subtract 3 1/5 from both sides of the equation
Step-by-step explanation:
Answer:
A) Subtract 3 1/5 from both sides of the equation
Step-by-step explanation:
A) 0.15
B) an equal sign
C) a multiplication sign
D) a percent sign
Answer:
B
Step-by-step explanation:
What is 15% of 60 is nothing but What equals 15% of 60 or What = 15% of 60
11. James arrived at work at 8:15 A.M. and left work at 10:30 P.M. If James gets paid by the hour at a rate
of $10 and time and 1/2 for any hours worked over 8 in a day. How much did James get paid?
$140.50
$173.75
$180.75
O $187.25
Answer:
173. i could be wrong but if i understood the question correctly
Step-by-step explanation:
The inverse of f(x) is a function
Answer:
A) True
Step-by-step explanation:
The inverse of any function is itself a function.
Describe the transformation in g (x) = (-5/8x) as it relates to the graph of the parent function.
Answer:
reflection over x axis then horizontal stretch by factor of 8/5
Step-by-step explanation:
f(x)=x
h(x) = -f(x) ... reflection over x axis (x,y) -> (x,-y)
-f(x) -> g(x) = (-5/8x) ...0 < |5/8| <1 ... horizontal stretch (x,-y) -> (x / (5/8) , -y)
1. The list shows the amounts of money student council collected from students for a field trip. Each student paid the same amount. What is the most the field trip could cost per student? Wednesday $36 Thursday $54 Friday $72 The most the field trip could cost is $ per student.
Answer:
Step-by-step explanation:
First find the LCM and it is going to be 18.
According to the synthetic division below, which of the following statements are true? Check all that apply.
-6)2 9 -12 2 -3 11
A. When x = -6,2x2 + 9x-7 = 11.
B. When x = 6,2x2 + 9x-7 = 11.
C. (x-6) is a factor of 2x + 9x- 7.
D. When (2x + 9x-7) is divided by (x - 6), the remainder is 11.
E. When (2x2 + 9x - 7) is divided by (x + 6), the remainder is 11. F. (x+6) is a factor of 2x2 + 9x-7.
The last number on a synthetic division represents the remainder of the division.
The true statements are:
(a). When x = -6, 2x^2 + 9x - 7 = 11. (e). When (2x2 + 9x - 7) is divided by (x + 6), the remainder is 11.From the question, we have the dividend to b 2x^2 + 9x - 7, the last number to be 11, and the zero of the divisor to be -6.
This means that:
[tex]x = -6[/tex] --- the divisor
Set to 0
[tex]x+6 = 0[/tex]
So, when the dividend 2x^2 + 9x - 7 is divided by divisor x + 6, the remainder is 11.
This also means that, when -6 is substituted for x in the dividend, the remainder is 11
Hence, the true statements are (a) and (e)
Read more about synthetic division at:
https://brainly.com/question/12951962
Jennifer wants to end Summer with a Water Balloon Party! She still has 26 balloons left over from last year. She wants to make sure she has more than 300 water balloons for the party this year. When she went to the store, she sees that the water balloons come in packs of 40. How many packs of water balloons does she need to buy for her party? Let b represent the number of packs of water balloons that Jennifer needs to buy. Which inequality describes the scenario?
Answer:
250 balloons will be the needed ballons
Elsa works as a tutor for $15 an hour and as a waitress for $9 an hour. This month, she worked a combined total of 101 hours at her two jobs. Let tbe the number of hours Elsa worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
Answer:
6t + 909
Step-by-step explanation:
t - tutor (hours)
101 - t = waitress (hours)
$15t + $9(101-t) = 15t + 909 - 9t
6t + 909
find the slope
(8, 10), (-7, 14)
Answer:
4/-15 is the slope
Step-by-step explanation: