Answer:
2(x−13)(x+2)
Step-by-step explanation:
2x^2-22x-52
GCF = 22
2(x ^2 −11x−26)
2(x−13)(x+2)
The time it takes to complete a certain job is directly proportional to the number of units produced. If it takes 22 minutes to proficiently 18 units, how many units are produced in 33 minutes?
Answer:
27 units
Step-by-step explanation:
let t represent time and n represent number of units
given t is directly proportional to n then the equation relating them is
t = kn ← k is the constant of proportion
to find k use the condition t = 22, n = 18 , then
22 = 18k ( divide both sides by 18 )
[tex]\frac{22}{18}[/tex] = [tex]\frac{11}{9}[/tex] = k
t = [tex]\frac{11}{9}[/tex] n ← equation of variation
when t = 33 , then
33 = [tex]\frac{11}{9}[/tex] n ( multiply both sides by 9 )
297 = 11n ( divide both sides by 11 )
27 = n
27 units are produced in 33 minutes
2. Mr. Rivera revealed that 70% of the students got an A on the vocabulary quiz in ELA this.
week. If there are 100 students in Mr. Riverds class, create a model that represente bo
many students got an A.
Answer:
143 to the nearest Whole #
Step-by-step explanation:
100/0.70=142.59
The price of a new car was £12500It is reduced to 11625Work out the percentage reduction
Answer:
The percentage reduction is 7%
Which best describes the graph of the cubic function f(x) = x3 x2 x 1?.
Graph of a function is plotting of its input and corresponding output. The graph of the considered cubic function is attached below.
How do we make graph of a function?Suppose the considered function whose graph is to be made is [tex]f(x)[/tex]
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values [tex]f(x)[/tex]
are plotted on the vertical axis.
They are together plotted on the point
[tex](x,y) = (x, f(x))[/tex]
This is why we usually write the functions as:
[tex]y = f(x)[/tex]
For the considered function [tex]f(x) = x^3 +x^2 +x + 1[/tex] is attached below.
Learn more about graphing functions here:
https://brainly.com/question/10166124
(20 POINTS!!!!) The expression 14₆÷ 14₄ is equal to _____. (The small numbers are supposed to be the exponents or something?)
Awnsers
14 ₂
1
2
14 ₁₀
Answer:
14^2
Step-by-step explanation:
i just plugged into calculator lol
Given expression:
14⁶ / 14⁴
Using the exponent rule;
[tex]\frac{x^{n} }{x^{m} }[/tex] = [tex]x^{n-m}[/tex]
So;
x = 14
n = ⁶6
m = 4
So;
[tex]\frac{14^{6} }{14^{4} }[/tex] = 14⁶⁻⁴
= 14²
The volume of a cube is 7,077.888 cubic meters. What is the length of each side of the cube?
Answer:
19.2
Step-by-step explanation:
Take note:
a = edge
v = volume
Equations for a Cube
[tex]v=a^{3}[/tex]
[tex]a=v^{\frac{1}{3} }[/tex]
We are given V. Plug 7,077.888 into the second equation.
[tex]a=7077.888^{\frac{1}{3} }[/tex]
[tex]a=19.2[/tex]
A farmer had 3,000 acres of land. He planted 30% of it with wheat, 45% of it with corn, and the rest with oats.
Find how many acres he planted with each kind of grain
Answer:
900 acres of wheat
1350 acres of corn
750 acres of oats
Step-by-step explanation:
3000 = 100%
÷ 10 both sides
300 = 10%
× 3
900 = 30%
300 = 10%
× 4
1200 = 40%
300 ÷ 2 = 150 (5%)
1200 + 150 = 1350
1350 + 900 = 2250
3000 - 2250 = 750
Question 2 of 10
In the diagram below, BD is parallel to XY. What is the value of x?
*
A. 120
B. 60
ОООО
D. 40
Answer:
Step-by-step explanation:
It’s 60 baka
Mr. Chen started a new exercise program and is walking four days a week last week he walked the same distance each day for a total of 21 miles if W represents the number of miles he walked each day which equation can be used to find the value of W
Answer:
it's 21/4
Step-by-step explanation:
on time 4 learning
p.s. stream sour by Olivia Rodrigo
Please help me ASAP!!!!!
Answer:
Since
x=−5 is a vertical line, there is no y-intercept and the slope is undefined.
Slope: Undefined
y-intercept: No y-intercept
Step-by-step explanation:
Anita needs to build a house for a school project. The base of the house is a rectangle where the length of a rectangle is 8 more than the width. Its area is 240 ft sq
L = lengh
W = width
french reasoning ( hello from France ) !
The base of the house is a rectangle where the length of a rectangle is 8 more than the width.
=> L = W + 8
and
Its area is 240 ft sq
W x L = 240
L = W + 8
W x L = 240
=> W x (W+8) = 240
W² + 8W - 240 = 0
Δ = 8² - 4*1*(-240) = 32²
W' = (-8 + 32) / 2 = 12 ft
W'' = (-8 - 32) / 2 = impossible
at the end
W the width = 12 ft
and then the lengh = 12 + 8 = 20
area = 12 x 20 = 240 ft²
when 8 is added to 1/3 of a number, the result is 23 find the number
Answer:
The number would be 5!
Step-by-step explanation:
23-8=15
15/3=5
Have a wonderful day!! :)
Answer:
8+x/3=23
Step-by-step explanation:
x/3=15
x=15x3=45
16c-8d equivalent expression
Answer:
8(2c - d)
Step-by-step explanation:
16c - 8d ← factor out 8 from each term
= 8(2c - d)
Ayden collects football, baseball, and Pokémon cards. He has four times as many baseball cards as football cards. His Pokémon cards contain 7 more cards than his baseball collection. If he has 106 cards all together, how many of each type does he have?
Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals 106 cards all together
Step-by-step explanation:
STEP 1 :
Let x represent number of football cards
He has four times as many baseball cards as football cards, let baseball cards be = 4x
Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7
Step 2 :
Putting in equation we have that
Football cards + Baseball cards + Pokemon cards = 106 cards
Therefore,
x + 4x + 4x+7 = 106
9x + 7 = 106
9x = 106-7
9x = 99
x =99/9 = 11
therefore football cards , x = 11 football cards
baseball cards = 4x = 4 x 11 = 44 baseball cards
Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards
Express the following equation in the form of ax^2+bx+c=0.
(4a+3)^2 = (a+5)(a-2)
Answer:
15a² + 21a + 19 = 0
Step-by-step explanation:
(4a + 3)² = (a + 5)(a - 2)
16a² + 24a + 9 = a² + 3a - 10
15a² + 21a + 19 = 0
Solve the two-step equation and identify the steps.
1.4x + 6.1 = –7.9
1. The first step is to
on both sides.
2. The second step is to
on both sides.
The solution is x =
.
Answer:
x = -10
Step-by-step explanation:
1.4x = -7.9 -6.1
1.4x = -14
x = -14÷1.4
x= -10
Answer:
x = -10
Step-by-step explanation:
can some one help me please
Answer:
Step-by-step explanation:
i think it is reflection in the line y=-1
can someone please simply this and show the work ?
Answer:
it's one of this two. if it's exactly how you have written it , it's the first picture.
Answer:
12[tex]\sqrt{5}[/tex]x^5
Step-by-step explanation:
Apply exponent rule
Add the numbers
Multiply the numbers
Factor integer
:)Hope you enjoy this:)I need help..
5x-3+3x+7 if x=3
Answer:
28
Step-by-step explanation:
Replace x with 3, and multiply the number next to it.
5(3)= 15
3(3)=9
so, 15-3+9+7=28
Answer:
28
Step-by-step explanation:
To solve this, replace every x with (3). If x is next to a number, that means you multiply that number and the value of x. This gives us the equation 5(3)-3+3(3)+7. When a set of parentheses are next to a number, you multiply. 5 times three is 15, and 3 times 3 is 9. This gives us 15-3+9+7. 15 - 3 is 12. 12 + 9 is 21. 21 + 7 is 28. 28 is your answer.
Give the coordinates of each vertex (D, E and F) and explain how you found the coordinates using the transformation rules.
Step-by-step explanation:
We have that the vertices of triangle ABC are:
A(4, 2)
B(7, 9)
C(7, 2)
First, we are reflecting over the y axis, which makes (x,y) map onto (-x, y). This gives us:
A'(-4, 2)
B'(-7, 9)
C'(-7, 2)
Then, we translate 5 units down, meaning we subtract 5 from each of the y coordinates. This gives us a final answer of:
D(-4, -3)
E(-7, 4)
F(-7, -3)
Four people each deliver food to people’s homes. Curtis charges a flat flee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles. How much does Curtis charge to deliver the food?
Please show your work
Answer:
$3.70
Step-by-step explanation:
0.2 x 6 = 1.2
1.2 + 2.5 = 3.7
42 + (-31) + (-12) =
Answer:
-1
Step-by-step explanation:
I used a calculator :)
The answer is -1
Because if you do all the math you will find that the answer is -1.
A truck driver averages 45 miles per hour while delivering freight and 60 miles per hour on the return
trip. The total drive time is 7 hours. How long does each trip take?
pls send help a girl is struggling
Answer:
Delivery Trip: 3 hours
Return Trip: 4 hours
Step-by-step explanation:
d/60 + d/45 = 7
45d/2700 + 60d/2700 = 7
105d/2700 = 7
105d = 18900
d = 180
180/60 = 3
180/45 = 4
Answer:
delivering 180/45 = 4 hours and return trip 180/60 = 3 hours
Step-by-step explanation:
d = unknown number to calculate each trip
[tex]\frac{d}{45}[/tex] + [tex]\frac{d}{60}[/tex] = 7
find common denominator (45 * 60 = 2700)
([tex]\frac{60}{60}[/tex])*([tex]\frac{d}{45}[/tex]) +( [tex]\frac{45}{45}[/tex])*([tex]\frac{d}{60}[/tex]) =7
[tex]\frac{60d}{2700}[/tex] + [tex]\frac{45d}{2700}[/tex] =7
[tex]\frac{60d + 45d}{2700}[/tex] =7
[tex]\frac{105d}{2700}[/tex] = 7
105d = 7 * 2700
105d = 18,900
d = 18900/105
d = 180
delivering 180/45 = 4 hours
return trip 180/60 = 3 hours
A large container holds 7 gallons of water. It begins leaking at a
constant rate. After 8 minutes, the container has 5 gallons of
water left.
At what rate is the water leaking and After how many minutes will the container be empty?
Answer:
The container will take 25 minutes to go from full to empty.
Step-by-step explanation:
In 15 minutes, the container has lost 3 gallons of water (
5
−
2
=
3
).
Since the leak is at a constant rate, we can determine that every five minutes the container loses one gallon.
So for the container to lose the full 5 gallons will take 25 minutes (
5
×
5
=
25
4n^2+16n+15 factor completely
Answer:
(2n+3)(2n+5)
Step-by-step explanation:
Simplify -|-5 + 2|.
7
3
-7
-3
Answer:
-3
Step-by-step explanation:
-|-5+2|
= -|-3|
= - 3
Hope it helps
Answer:
-3
Step-by-step explanation:
-|-5+2|
-|-3| absolute value of -3 is 3
-3
Can someone help me please
Answer:
[tex]it \: has \: a \: circular \: symmetry[/tex]
What is the area of a rectangle with length 4 cm and width 12 cm?
16 cm2
48 cm2
3 cm2
32 cm2
Answer:
option 2 = 48 cm ²
12 × 4 = 48
cm × cm = cm²
answer = 48 cm²
Sled dogs have thick fur to keep them warm. But they can overheat while running if it’s too warm outside. The maximum temperature the dogs can run in is 71º higher than their minimum of -71ºF. What is the maximum temperature that they can run in?
Answer:
-71 + 71 =0 so 0°
Step-by-step explanation:
I hate the fact that it needs to be 20 letters
If the slope of a line is 7/10, how much vertical change will be present for a
horizontal change of 63 ft?
If the slope of the line is 7 /10, the vertical change that will be present for a horizontal change of 63 ft is 44.1 ft
What is a slope?The slope of a line is the measure of its steepness. Therefore,
slope = change in y(vertical) / change in x(horizontal)
slope = y₂ - y₁ / x₂ - x₁
slope = 7 / 10
Therefore,
7 / 10 = y / 63
cross multiply
441 = 10y
divide both sides by 10
y = 441 / 10
y = 44.1 ft
learn more on slope here: https://brainly.com/question/18555739