Answer:
[tex]f(g(x)) = -10x -13[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x + 7[/tex]
[tex]g(x) = -2x - 4[/tex]
Required
Find f(g(x))
This is calculated as:
[tex]f(x) = 5x + 7[/tex]
Substitute g(x) for x
[tex]f(g(x)) = 5(f(g(x)) + 7[/tex]
Substitute [tex]g(x) = -2x - 4[/tex]
[tex]f(g(x)) = 5(-2x - 4) + 7[/tex]
Open bracket
[tex]f(g(x)) = -10x - 20 + 7[/tex]
[tex]f(g(x)) = -10x -13[/tex]
Which shape has 5 faces, 8 edges and 5 vertices?
Answer:
Square pyramid
Step-by-step explanation:
It do that the thing okay yes
Answer:
Square-based pyramid,
Step-by-step explanation:
A pyramid itself has 5 faces.
8 edges connecting the faces,
5 vertices where the faces meet at a point/end.
You run 3 1/4 miles as a part of an exercise routine. You run 2/5 of that distance on a hill. You run down a slope for the last 1/2 of the hill. On how many miles of your run do you run down the slope? Write your answer as a fraction or mixed number in simplest form!
Answer:
Step-by-step explanation:
½ of ⅖ of 3¼ = ⅕ of 3¼
= ⅕ of 13/4
= 13/20
Which system of equations does not have the
same solution as the system below?
4x + 3y = 10
-6x - 5y = -16
1) -12x - 9y = -30
12x + 10y = 32
2) 20x + 15y = 50
-18x -15y = -48
3) 24x + 18y = 60
-24x - 20y = -64
4) 40x + 30y = 100
36x + 30y = -96
As per linear equation, except for the option(4), all system of equations have same solution.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".
Given system equations:
4x + 3y = 10 (equation 1)
-6x - 5y = -16
⇒ (6x + 5y) = 16 (equation 2)
Option. 1: - 12x - 9y = - 30
⇒ - 3(4x + 3y) = - 3
⇒ (4x + 3y) = 10 (equation 3)
Again, 12x + 10y = 32
⇒ 2(6x + 5y) = 16
⇒ (6x + 5y) = 16 (equation 4)
Option. 2: 20x + 15y = 50
⇒ 5(4x + 3y) = 50
⇒ (4x + 3y) = 10 (equation 5)
Again, -18x -15y = -48
⇒ - 3(6x + 5y) = - 48
⇒ (6x + 5y) = 16 (equation 6)
Option. 3: 24x + 18y = 60
⇒ 6(4x + 3y) = 60
⇒ (4x + 3y) = 10 (equation 7)
-24x - 20y = -64
⇒ - 4(6x + 5y) = - 64
⇒ (6x + 5y) = 16 (equation 8)
Option. 4: 40x + 30y = 100
⇒ 10(4x + 3y) = 100
⇒ (4x + 3y) = 10 (equation 9)
Again, 36x + 30y = -96
⇒ 6(6x + 5y) = -96
⇒ (6x + 5y) = -16 (equation 10)
Therefore, except for the option(4), all system of equations have same solution.
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How many gallons will you get if you mix 3 pints, 6 quarts, and 2 cups
Answer:
2 liquid gallons
Step-by-step explanation:
A line parallel to one side of a triangle divides the other two sides proportionally true or false?
Answer:
true
Step-by-step explanation:
Triangle Proportionality Theorem - 'If a line is parallel to one side of a triangle and intersects the other two sides, then it divides the other two sides proportionally'. Hence, the given statement is true
Help fast plz 100 points!
Answer:
Answer is D, simplify the expression and solve.
Answer:
D
Step-by-step explanation:
Use Pythagorean theorem to find area. Help!! ;-;
Answer:
area=135
Step-by-step explanation:
Pythagorean theorem: a^2+b^2=c^2
8^2+b^2=17^2
64+b^2=289
b^2=225
b=15
15 is the missing side length
The area is comprised of two triangle (which make one rectangle) and one rectangle (1 unit by 15).
area= bh(of a triangle) + bh(of the middle rectangle
area=8(15)+1(15)
area=135
First person gets brainliest 2
Answer:
Heyyyyy
Step-by-step explanation:
Answer:
yess
Step-by-step explanation:
Sheldon is a
long distance runner. He can run a mile
at a Consistent
pace of 6 4/5 minutes. How many
miles can be run in 30 minutes,.If he keeps that pace?
Answer:
the answer would be 2.15
Step-by-step explanation:
first you would have to divded 64/5 by 30 and you get 2.15
Determine the total number of roots of each polynomial function using the factored form.
f (x) = (x - 6)2(x + 2)2
Answer:
x=6 or x= -2
Step-by-step explanation:
....................
'.
..
A table consists of the following ordered pairs: ( 1, 11)( 2, 22)( 3, 33)( 5, 55)
What is the equation for this table?
Answer:
X coordinate times 11 :)
Step-by-step explanation:
Help me answer this PLEASE!
Answer:
B
Step-by-step explanation:
35 percent answer the quiz correctly
Please help, and please explain how you got the answer
A. 68 square units
B. 70 square units
C. 72 square units
D. 80 square units
Answer: i think it is D
Step-by-step explanation:
A shirt originally priced at $45 was marked down 15%. After a week, the shirt was marked down another 15% off the sale price. What is the percent of change from the original price to the final sale price? Write as decimal percent.
27.76% I believe. infinite decimal.
Answer: 27.75 decrease
Step-by-step explanation:
45 times .85 (100-15(perecent)= 85) is a
a times .85 is b
(b-45)/45 is -0.2775 which is 27.75% which is -27.75
Which statements are correct? A) (-7.3)(10)=-73
B) (12.3)(5.1)(-10)=62.73
C) -(0.5)(0.75)=0.375
D) The product of two negative is negative
E) The product of negative and a positive is negative.
Answer:
A and C and E
Step-by-step explanation:
Answer:
A) B)F)Step-by-step explanation:
to understand thisyou need to know about:integertips and formulas:product of two negative is positiveproduct of negative and positive is negativelet's solve:A)correct
(-7.3)(10)-73B)incorrect
(12.3)(5.1)(-10)(62.73)(-10)-627.3C)incorrect
-(0.5)(0.75)-(0.375)-0.375D)incorrect
The product of two negative is negativeF)correct
The product of negative and a positive is negative.Write a division expression with a quotient that is: a. greater than 8÷0.001 b. less than 8÷0.001 c. between 8÷0.001 and 8÷ 1 10
"What is Limit of h (x) as x approaches 10 plus?"
As x → 10 from above, h(x) is steadily approaching 18.5.
According to the table, the limit of h (x) as x approaches 10 plus is 18.5
How to determine the limit value?From the table, the value of the function at x = 10 is:
h(10) = undefined
As x exceeds x = 10, the function values become:
h(x+) = 18.5......
When approximated, we have:
h(x+) = 18.5
Hence, the limit of h (x) as x approaches 10 plus is 18.5
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You purchase 5 tickets to a football game from an Internet
ticket agency. In addition to the cost per ticket, the agency charges
a convenience charge of $2.50 per ticket. You choose to pay for rush
delivery, which costs $15. The total cost of your order is $352.50. What is
the price per ticket not including the convenience charge?
Answer:
The price per ticket, excluding the convenience charge, is of $65.
Step-by-step explanation:
You choose to pay for rush delivery, which costs $15. The total cost of your order is $352.50.
So, only for the 5 tickets, you pay 352.50 - 15 = $337.50.
In addition to the cost per ticket, the agency charges a convenience charge of $2.50 per ticket.
Excluding the convenience charge per ticket, you will pay:
337.50 - 5*2.50 = 325.
What is the price per ticket not including the convenience charge?
$325 for 5 tickets.
325/5 = 65
The price per ticket, excluding the convenience charge, is of $65.
Solve #2 pls I would appreciate and I will give brainliest answer as a reward
Answer:
336
Step-by-step explanation:
Just get area of individual shapes and then add
Answer:
336 square units
Step-by-step explanation:
1/2x6x8x2=48
8x12=96
10x12=120
6x12=72
48+96+120+72=336
What types of functions result from dividing two functions?
Answer:
See how we can multiply or divide two functions to create a new function. Just like we can multiply and divide numbers, we can multiply and divide functions. For example, if we had functions f and g, we could create two new functions: f ⋅ g f\cdot g f⋅g and gfstart fraction, f, divided by, g, end fraction .
Step-by-step explanation:
calcula el área de cada figura y con el resultado colorea el dibujo .Recuerda para obtener el área de un trapecio es (B+b)×a\2 para el romboide = b×a
necesito una respuesta por fa
Solve the equation.
6x - 2 = 3 + 2x
Answer:
1.25
Step-by-step explanation:
6x-2=3+2x
Move the variable to the left hand side and change the sign
6x-2x-2=3
6x-2x=3+2
4x=3+2
4x=5
x=1.25
To carry a bag of 50kg rice at the distance of 4
km a porter charges Rs.75. How much does the
porter charge at the same rate to carry a bag of
80kg rice to the distance of 10km?
b. 500
d. 700
a. 400
c. 600
Answer:
The porter charges Rs 300 at this rate.
Step-by-step explanation:
We solve this question by proportions, using rule of three.
75 Rs - 4 km - 50 kg
x Rs - 10 km - 80 kg
Relationship between the variables:
As the distance, or the weight increase, the rate will increase. This means that:
[tex]\frac{75}{x} = \frac{4*50}{10*80}[/tex]
[tex]\frac{75}{x} = \frac{200}{800}[/tex]
[tex]\frac{75}{x} = \frac{2}{8}[/tex]
[tex]x = \frac{75*8}{2} = 75*4 = 300[/tex]
The porter charges Rs 300 at this rate.
HELPPPP I NEED HELP WITH THIS
Answer:
It should be 105°
Step-by-step explanation:
I hope this helps you!!!
If AC = 18 and CD = 4, then AD = [ ? ]
3x+ 2X+15x =
[tex]3 x + 2 x + 15 x =[/tex]
Step-by-step explanation:
3x+2x+15x=20x
hope it helps.
Answer:
9° Or 20x
Step-by-step explanation:
2x+3x+15x = 180°
20x = 180°
x = 180°÷20
x = 9°
Or,
2x+3x+15x = 20x
0.08 divided by0.5216
Answer:
0.1533742331288344 or if you simplify it will be 0.15
Step-by-step explanation:
Simple long division or using a calculator then rounding if needed is the easiest way to get the answer.
If the ratio of markers to erasers is 5:2. How many
markers would you have to have if there were 32
erasers?
Plz give me an explanation
Answer:
80 markers
Step-by-step explanation:
Set it up as an equation.
markers/erasers 5/2=x/32
Cross multiply to get 160=2x
x=80
Tyheem ran a total of 3 (4/5) miles on Saturday and Sunday. He ran 1 (5/8) miles on Saturday. How many miles did Tyheem run on Sunday?
Answer:
87/40
Step-by-step explanation:
change the fractions to improper form so it will be 19/5 in total and 13/8 on sat .
now subtract total and the sat one
19/5- 13/8
get the same denominator
152/40 - 65/40
87/40
Please can I get help with this question?
Answer:
x = 18
Step-by-step explanation:
When two parallel lines are intersected by a transversal, then same-side exterior angles are supplementary, meaning their angle measures add up 180 degrees. Applying this knowledge here, one can state that;
( 6x - 3 ) + 75 = 180
Simplify,
6x - 3 + 75 = 180
6x + 72 = 180
Inverse operations,
6x + 72 = 180
-72 -72
6x = 108
/6 /6
x = 18