Answer:
[tex]f(g(1))=11[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]
And we want to find f(g(1)).
So, let's find g(1) first:
[tex]g(x)=-3x+5[/tex]
Substitute 1 for x:
[tex]g(1)=-3(1)+5[/tex]
Simplify:
[tex]g(1)=-3+5[/tex]
Add:
[tex]g(1)=2[/tex]
So:
[tex]f(g(1))=f(2)[/tex]
Now, substitute 2 for x in f(x):
[tex]f(x)=2x+7\\f(2)=2(2)+7[/tex]
Multiply:
[tex]f(2)=4+7[/tex]
Add:
[tex]f(2)=11[/tex]
So:
[tex]f(g(1))=11[/tex]
Given _______________________________________________, there is one and only one line perpendicular to the plane through that point.
Answer:
through a given plane
Step-by-step explanation:
5/7 multiplied by 35
Answer:
25
Step-by-step explanation:
5 / 7 * 35
Cancel 35 by 7 since 7 * 5 = 35
Therefore, you get
5 * 5 = 25
Answer:
[tex] \frac{5}{7} \times 35[/tex]
[tex]divide \: the \: 7 \: from \: 35[/tex]
[tex]you \: will \: get \: 5[/tex]
[tex]now \: 5 \times 5 = 25[/tex]
ANSWER = 25
Hope this is correct and helpful
HAVE A GOOD DAY!
Please help! x+25=100
Ethan buys dough to make fresh bread for his sandwich shop. He pays $11.55 for 25 ounces. What is Ethan's price per ounce of dough?
The cost of dough per ounce is $0.462.
How to calculate the cost per item?In order to calculate the cost of one item, divide the total cost of items by the total number of items.
It is also called the unit rate of that item.
The cost for 25 ounce dough of $11.55.
The price per ounce is equivalent to the unit rate given as,
Unit rate = Total cost ÷ Amount of dough
= 11.55 ÷ 25
= 0.462
Hence, Ethan's price per ounce of dough is $0.462.
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20 POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!! 2 QUESTIONS!!
1. Which of the following properties would you use to solve 3r ≤ 16 for r?
A) multiplication property of inequality
B) addition property of inequality
C) subtraction property of inequality
D) division property of inequality
2. Explain the difference between perimeter and volume.
A) You use perimeter to measure the distance around an object. Volume represents space inside a two-dimensional object.
B) Perimeter represents space inside a two-dimensional object. You use volume to measure the distance around an object.
D) You use perimeter to measure the distance around an object. Volume represents space inside a three-dimensional object.
C) Perimeter represents space inside a three-dimensional object. You use volume to measure the distance around an object.
Answer:
1. division property of inequality
2. Perimeter is used to represent the distance around an object, and volume is the space inseide a three dimensional object.
Step-by-step explanation:
Answer:
1- (D)Division property of Inequality.
2-(B)Perimeter represents space inside a two-dimensional object. You use volume to measure the distance around an object.
Trust me.
Step-by-step explanation:
1- Explanation for the first answer is if you divide 3r%16 you will get 4r
2- I already explained it.
Mason loves collecting sea glass from the beach. He recorded the weight of each jar full of sea glass. If he decided to distribute the sea glass equally among the jars, how much would each jar weigh? pounds (Write mixed numbers as x y/z.)
The missing weights are:
2 2 2 1 11 12 12 2 24 22 24 3 37 22
Answer:
[tex]Average = 12\frac{4}{7} \ lb[/tex]
Step-by-step explanation:
Given
Weight of sea glass
To solve this question, we have to calculate the mean of the weight of the sea glass as follows;
[tex]Average = \frac{\sum x}{n}[/tex]
Where n = number of sea glass
[tex]n = 14[/tex]
So:
[tex]Average = \frac{\sum x}{n}[/tex] becomes
[tex]Average = \frac{2 +2 + 2 + 1 + 11 +12 +12 +2 +24+22 +24 +3 +37+ 22}{14}[/tex]
[tex]Average = \frac{176}{14}[/tex]
[tex]Average = 12\frac{8}{14}[/tex]
Simplify fraction
[tex]Average = 12\frac{4}{7}[/tex]
Hence; the weight of the sea glass would be [tex]12\frac{4}{7}\ lb[/tex] when evenly distributed...
Which fraction is equal to a whole number?
10/4
7/7
8/4
3/6
Answer:
Step-by-step explanation:
7/7 = 1 whole number
8/4 = 2 whole numbers
both equal to whole number
Suppose you start at the origin, move along the x-axis a distance of 6 units in the positive direction, and then move downward along the z-axis a distance of 3 units. What are the coordinates of your position
Answer:
Coordinates are (x,y,z)= ( 6,0,-3)
Step-by-step explanation:
Because
X = +6units
Y= 0at origin
= -3 units negative because its downwards on the number line
let f(x)=x+3 and g(x)=6x+4. find f(x)+g(x), g(x)-f(x), and g(f(x)).
I hope this helps you...
Please help! This is for geometry
if one root of the equation is 4x^2- 2x+p-4 be the reciprocal of other. then find the value of p
Answer:
p = 8
Step-by-step explanation:
Let one root of the eqn. be alpha . Other root is 1/alpha .
We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant & "a" is the co-efficient of x^2.
Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )
[tex]\frac{c}{a} = 1\\=> \frac{p - 4}{4} = 1\\=> p - 4 = 4\\=> p = 4 + 4 = 8[/tex]
Write and solve the sentence as a equation;
The number is 5 less than -7
Answer:
x= -12
Step-by-step explanation:
(-7) - x = 5
<=> x = (-7) - 5
<=> x = -12
Answer:
-7 - 5 = -12
Step-by-step explanation:
Hope it helps :)
If Benji weighs 529 pounds and he eats 7 pounds of watermelon how much percent watermelon would Benji be?
Answer:
1.3232514 %
Step-by-step explanation:
pounds of watermelon/ total pounds
7/ 529
.013232514
Change to percent form
1.3232514 %
I know that this is a very tricky question: What is the value of 0 to the power 0?
Answer:
just 1
Step-by-step explanation:
It is easy, anything with the power of zero just equals to one
Answer:
1
Step-by-step explanation:
any number including 0 having power 0 will be equal to 1
(20 points) I need help urgently. Send Help!!!! (Geometry) m∠DEF if m∠DEH = (9x + 3) ° and m∠HEF = (5x + 11) °
Answer:
very hard question
Step-by-step explanation:
How many multiples of 6 are greater than -25, but less than 25?
Answer:
8.
Step-by-step explanation:
They would be -24, -18, -12, -6, 6, 12, 18, 24.
A rectangle has a length that is 8 less than its width, w. The perimeter is 52. Which equation can be used to determine its width?
A movie rental company offers a membership plan that costs $10/month and charges $2 to rent each movie. How many movies can a mentor rent in one month and spend at most $24? Write and solve the linear inquality..... Right Answer Will Be Crowned TYPE SOMETHING OTHER THAN THE ANSWER WILL GET DELETED! CORRECT ANSWER GET 50 POINTS
Answer:
See below
Step-by-step explanation:
linear equation: y=2x+10
x=cost per movie rented
10=$10 for the membership
24=2x+10 (24 being total you want to spend)
subtract 10 from each side
14=2x
divide by 2
7=x
He can rent no more than 7 movies if he want to spend $24 or less in the month
What common error(s) did this student make? What is the correct solution for x? Please help
Answer:
10x - 5(x - 1) = 20
10x - 5x + 5 = 20
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/5
x = 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
The first error was in the 2nd line: -5(x - 1) is -5x + 5, not -5x - 5 = 20.
Continuing the solution:
10x - 5x + 5 = 20
Combining like terms, we get
5x = 15, and so x = 3
Maggie baked a berry pie. The recipe called for 6 ounces of blackberries, 9 ounces of raspberries, and 5 ounces of strawberries. In the supermarket, she only found 12-ounce containers of berries. She bought 1 container of each kind of berry. After she baked the pie, how many ounces of berries did Maggie have left?
Answer:
16 berries
Step-by-step explanation:
Blackberries: 12 - 6 = 6Raspberries: 12 - 9 = 3Strawberries: 12 - 5 = 7 Now we know how many individual berries will be left: 6 blackberries, 3 raspberries, and 7 strawberries.6 + 3 + 7 = 16please help ASAP, thank you!
Answer:
5
Step-by-step explanation:
i think
Answer:
The Answer is -5
Step-by-step explanation:
1. C=[tex]\frac{5}{9}[/tex](f-32)
2. Remove parenthesis
c=f−32
3. Add 32 to both sides
c+32=f
4. Switch the sides
f=c+32
Hope this helped!
Question 1
Solve the equation. Enter only the number into the box below,
22
18+ X
Answer:
no cemma cuhydhfhhdhdhd
Choose the correct answer
dilation of 0.5 about the origin
R(1,3), s(1,4), 7(4,4), u(3, 1)
A) R(0.25, 0.75), s(0.25, 1), 7(1, 1), u(0.75, 0.25)
B) S(-1,4), 7(-4,4), u(-3, 1), R(-1,3)
C) R(0.5, 1.5), s(0.5, 2), 7(2, 2), u(1.5, 0.5)
D) R(-1,-3), s(-1,-4), 7(-4,-4), u(-3,-1)
Answer: i think it's c
Step-by-step explanation:
Which expression is equivalent to √ 24 ⋅ √ 2 in simplest form?
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{24}[/tex] × [tex]\sqrt{2}[/tex]
= [tex]\sqrt{48}[/tex]
= [tex]\sqrt{16(3)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]
= 4[tex]\sqrt{3}[/tex]
Suppose it takes you 12 min to walk from home to school at a rate of 260 ft/min. Your friend lives closer to school than you do. Which inequality represents the distance d (in feet) that your friend lives from school? A. d 260 C. d > 3120 D. d < 3120
Answer:
The answer is d < 3120.
Step-by-step explanation:
what is x/-4 + 7 = 9
Answer:
[tex]x[/tex] = 8
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 8
Hope it helps!
plsss answer asapp and pls show work ty:)
if CE=7x+4 , find the value of X
Answer:
x=5
Step-by-step explanation:
If CE=7x+4, then x+3+(8x-9)=7x+4
x+3+8x-9=7x+4
Combine like terms: 9x-6=7x+4
Isolate x to one side: 2x-6=4
add 6: 2x=10
divide by 2: x=5
check your work;plug x into both equations
5+3=8, 8(5)-9=31....8+31=39
7(5)+4=39
Two complementary angles are in the ratio 7:8. What is the measure of the larger angle?
Answer
48°Step-by-step explanation:
We know that sum of complementary angle adds to 90°
Let the angles be 7x and 8x
First of all, finding the value of x
[tex] \sf{7x + 8x = 90 °}[/tex]
Collect like terms
⇒[tex] \sf{15x = 90 °}[/tex]
Divide both sides of the equation by 15
⇒[tex] \sf{ \frac{15x}{15} = \frac{90}{15} }[/tex]
Calculate
⇒[tex] \sf{x = 6 °}[/tex]
The value of X is 6°
Now, substituting / Replacing the value of x
⇒[tex] \sf{7x = 7 \times 6 = 42}[/tex]
⇒[tex] \sf{8x = 8 \times 6 = 48}[/tex]
The measure of larger angle is 48°
Hope I helped!
Best regards!!
a store offers a 15% discount on all items in the storage on a cell All Star employee gets in the aditional 10% employee discount in the equation below C represents the cost of an item for an employee including tax and x represents the original price of the item
C=0.765x+0.06(0.765×)
Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is 100$. How much will Chris pay for the coat during the sale? Remember,do not include the $ symbol.
Answer:
$81.09
Step-by-step explanation:
C=0.765(100)+0.06(0.765x100)
C=0.765(100)+0.06x76.5
C=0.765(100)+4.59
C=76.5+4.59
C=81.09
In this diagram, EA−→−⊥ ED−→− and EB−→− bisects ∠AEC . Given that m∠AEB = 4x + 1 and m∠CED = 3x, determine the missing measures. please help :)
Answer:
Step-by-step explanation:
8,33