Given the functions f(x)=7-2x and g(x)=5x-3 find g(f(-4)) find f(g(x))

Answers

Answer 1

Answer:

g(f(-4)) = -8

f(g(x)) = 13-10x

Step-by-step explanation:

g(f(-4)):

Plug in the equation f(x) into the variable x of g(x), we have:

[tex](gof)= 5(7-2x)-3[/tex]

Plug in x = -4 and the answer is -8

f(g(x)):
Plug in the equation g(x) into the variable x of f(x), we have:

[tex]7-2(5x-3) = 7-10x+6 = 13-10x[/tex]


Related Questions

IF Cos 3A =Sin7A then A is

Answers

Answer: A=0.8767601914

First you need to find the value of cos(3) and sin(7) which happens to be cos(3)=0.9986295348A and sin(7)=0.1218693434A. So you have the numbers, then what do you do with them? Well you will want to subtract them both and find the difference between them which should be the value of A. so 0.9986295348-0.1218693434=0.8767601914 so A=0.8767601914 if you want you can simplify this...

Step-by-step explanation:

BOOM mistah-CLEAN BABY.

Draw a model of 1/2 ÷ 4

Answers

Answer:

1/2 split into 4 parts

Step-by-step explanation:

i cant draw it

write an algebraic expression for the following phrases.

1. 34 more than a number __
2. twice a number minus 12 __
3. 16 less than a number __
4. a number increased by 45 __
5. the difference of 23 and a number __
6. decrease a number by 7 and multiply by 6 __
7. 4 tikes a number subtracted from 78 __
8. increase the product of a number and 4 by 10 __
9. the sum of 3 times a number and 2 __
10. a number times the difference of 13 and a number. __

Answers

Answer:

1. x + 34

2. 2x - 12

3. x - 16

4. x + 45

5. 23 - x

6. 6(x - 7)

7. 78 - 4x

8. 4x + 10

9. 3x + 2

10. x(13 - x)

Step-by-step explanation:

For problems like this in the future, pay attention to the order of words, and how they go together! For example- "the difference of 23 and a number" means to subtract a number from 23, whereas "the difference of a number and 23" would mean to subtract 23 from the number. Words like "increase" and "sum" both mean addition; "product" and "times" both mean multiplication; "difference" and "less" mean subtraction. Just keep these in mind (and watch for context)!

I hope this helped! :)

what is the product of( w + x)( w + x) cause w2+2×w+×2 is not the right answer ​

Answers

Answer:

my diagram calculation could help

I hope it helps

answer : w²+ wx + xw + x²

Select the correct answer.

What is the circumference of this circle?


A.
25π
B.
50π
C.

D.
10π
E.
None of the above

Answers

Answer:

D. 10π

Step-by-step explanation:

To find the circumference of a circle, use the equation:

circumference = 2πr

We can substitute the radius into this equation: c = 2 × π × 5. This is equal to 10π.

Hope this helps!

Help Me On This Plss!!​

Answers

Answer:

1) In fig. (1) there are 2 shapes:

A Rectangle A triangle

So,

Area of Rectangle = l × b

where,

length (l) = 12 cm breadth (b) = 14 cm

➮ 12 × 14

➮ 168

Hence, the area of rectangle is 168cm².

Now,

Area of Triangle = ½bh

where,

base (b) = 8 cm height (h) = 12 cm

➮ ½ × 8 × 12

➮ ½ × 96

➮ 48

Hence, the area of triangle is 48cm².

Thus, Area of the whole fig. :

Area of Rectangle + Area of Triangle

➮ 168 + 48

216cm² (Ans)

2) In fig. (2) there are also 2 shapes :

A SemicircleA Rectangle

So,

Area of Semicircle = ½ (π)

where,

pi (π) = 3.14 radius (r) = 5 inches

➮ ½ × 3.14 × (5)²

➮ ½ × 3.14 × 25

➮ ½ × 78.5

➮ 39.25

Hence, the area of semicircle is 39.25 in².

Now,

Area of Rectangle = l × b

where,

length (l) = 10 inchesbreadth (b) = 15 inches

➮ 10 × 15

➮ 150

Hence, the area of rectangle is 150 in².

Thus, Area of whole fig. :

Area of Semicircle + Area of Rectangle

➮ 39.25 + 150

189.25 in² (Ans)

[tex]\bold{\huge{\underline{ Solutions }}}[/tex]

Figure 1 :-

Given :-

We have one composite figure that is composed rectangle and triangle The dimensions of rectangle are 12 cm and 14 cmThe dimensions of triangle are 12cm and 8cmTo Find :-

We have to find the area of composite figure

Let's Begin :-

We have,

Composite figure composed of rectangle and triangle

We know that,

Area of rectangle

[tex]\bold{ = Length {\times} Breath}[/tex]

The dimensions of rectangle are 12cm and 14cm

Subsitute the required values,

[tex]\sf{ = 12 {\times} 14}[/tex]

[tex]\sf{ = 168 \: cm^{2}}[/tex]

For triangle

Area of triangle

[tex]\bold{=}{\bold{\dfrac{ 1}{2}}}{\bold{ {\times} b{\times}h}}[/tex]

Subsitute the required values,

[tex]\sf{=}{\sf{\dfrac{ 1}{2}}}{\bold{ {\times}8{\times}12}}[/tex]

[tex]\sf{=}{\sf{\dfrac{ 1}{2}}}{\bold{ {\times} 96}}[/tex]

[tex]\sf{ = 48 \:cm^{2}}[/tex]

Thus, Area of triangle is 48 cm² .

Therefore,

The total area of the composite figure

= Area of rectangle + Area of triangle

[tex]\sf{ = 168 + 48}[/tex]

[tex]\bold{ = 216\: cm^{2}}[/tex]

Hence, The area of given composite figure is 216 cm²

Figure 2 :-

Given :-

We have one composite figure which is composed of semicircle and rectangle The dimensions of rectangle are 10 in. and 15 in. The diameter of semicircle is 10 in.

Let's Begin :-

Here, we have

Composite figure composed of rectangle and hemisphere

We know that,

Area of rectangle

[tex]\bold{ = Length {\times} Breath}[/tex]

The dimensions of rectangle are 10in. and 15 in.

Subsitute the required values,

[tex]\sf{ = 10 {\times} 15}[/tex]

[tex]\sf{ = 150 \: cm^{2}}[/tex]

For hemisphere

Area of semicircle

[tex]\bold{ = 1/2{\pi}r^{2}}[/tex]

The diameter of hemisphere is 10 in. So, The radius of hemisphere will be 5 in. as it is the half of diameter.

Subsitute the required values,

[tex]\sf{ =}{\sf{\dfrac{ 1}{2 }}}{\sf{ {\times} 3.14 {\times} (5)^{2}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{ {\times}3.14 {\times} 25}}[/tex]

[tex]\sf{ = 1.57 {\times} 25}[/tex]

[tex]\sf{ = 39.25\: in^{2}}[/tex]

Thus, The area of semicircle is 39.25 in².

Therefore,

Total area of the given composite figure

= Area of hemisphere + Area of rectangle

= [tex]\sf{ = 150 + 39.25}[/tex]

[tex]\bold{ = 189.25\: in^{2}}[/tex]

Hence, The total area of the given composite figure is 189.25 in² .

what is the ten thousand place in 360,881​

Answers

Answer:

6

Step-by-step explanation:

1 is in the ones place, 8 is in the tens place, 8 is in the hundreds place, 0 is in the thousands place, which means 6 is now in the ten thousands place.

Answer:

6 is in the ten thousands place

Can some help I’m suffering with this question

Answers

Answer:

38 quarters

Step-by-step explanation:

0.25 x 63 = 15.75

0.05 x 63 = 3.15

----------------------------

0.25 x 50 = 12.50

                    +         = $13.15

0.05 x 13 = 0.65

----------------------------

0.25 x 25 = 6.25

                   +        = $8.15

0.05 x 38 = 1.90

----------------------------

0.25 x 30 = 7.50

                   +         = $9.15

0.05 x 33 = 1.65

--------------------------

0.25 x 35 = 8.75

                   +        = $10.15

0.05 x 28 = 1.40

-------------------------

0.25 x 38 = 9.50

                   +        = $10.75

0.05 x 25 = 1.25

------------------------------

I hope this helps!

The line y = 4x + c passes through (1,7), find the value of c

Answers

y= 4x + c
At (1,7) (7)=4(1) + c
7= 4 + c
c = 7-4=3
c=3

Answer:

c = 3

Step-by-step explanation:

y = 4x + c

to find c substitute (1, 7 ) into the equation

7 = 4 + c ⇒ c = 7 - 4 = 3

Explain in your own words how to find the area of a triangle. * Your answer

Answers

Answer:

Step-by-step explanation:

[tex]Area \ of \ the \ triangle = \dfrac{1}{2}bh[/tex]

b is the base of the triangle.

h  is the perpendicular height

8. Evaluate the polynomial function
f(x) = -2x4 + 6x3 - 3x + 11 when x = 4
(
-

Answers

Answer:

f(4) = -129

Step-by-step explanation:

Substitute the value of x which is 4

f(x) = -2x4 + 6x3 - 3x + 11

f(4) = -2(4)4 + 6(4)3 - 3(4) + 11

f(4) = -2(256) + 6(64) - 12 + 11

f(4) = -512 + 384 - 1

f(4) = -128 - 1

f(4) = -129

Please tell me the answer

Answers

105…15x5+5x6 is how you do it


Look at the image below

Answers

Answer:

subtotal 9.76

Step-by-step explanation:

i can tell the last 2

hope this helps

pls mark brainliest

Please help me ASAP if tell me how you get the answer I will mark brainliest!

Its not hard im just tired
Done this review 6 times today and the reviews 50 questions

Answers

Answer:

y=4x-6

Step-by-step explanation:

That is how you would graph it.

Hope this helps!

The first step is to find any two sets of points on the line to find the slope. Let's use (0, -6) and (4,10).

   [tex]Slope=\frac{y2-y1}{x2-x1} =\frac{10--6}{4-0} =\frac{16}{4} =4[/tex]

Ok, now we found the slope. Now let's put it into the point-slope form which requires any one point on the line and the slope. Lets use the point (0,-6)  

        [tex](y-y0)=m(x-x0)\\(y+6)=4(x-0)\\y=4x-6[/tex]

The last equation is the slope-intercept form.

Hope that helped!

 

Solution of this question needed on urgent basis!

Answers

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.

Answer:

90°

Step-by-step explanation:

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.

6. Write and solve an equation to find the value of x. (Example 3) 120° X (2x) ico​

Answers

Answer:

120° = 2(x)°

120/2 = x

60 = x

Step-by-step explanation:

120° = 2(x)° because the two lines cross forming an x shape and angles opposite to each other are always equal in lines forming x shapes. Hence you can form an equation as shown above and solve it for x. Since the above equation is a linear one you can simply solve it by bringing all the numbers to one side. since 2 is multiplied on the right hand side, when we bring it to the left it has to be divided.

Answer:30

Step-by-step explanation:

question is on the picture attached

Answers

Answer:

18

Step-by-step explanation:

Simplify this expression.

2+. 3. 5-

Answers

Answer: B, because when we factor in each term it all checks out

It takes 79 pounds of seed to completely plant a 12-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

0.152 acres

Step-by-step explanation:

Given the information that 79 pounds of seed means you can plant 12 acres of field, we can set the two equal to each other:

      79 pounds of seed = 12 acres

Now, we just need to use 1 pound of seed to solve for the amount of acres that can be planted per that one pound:

      1 pound seed ([tex]12acres/79pounds[/tex]) = 0.152 acres

Manuel found a wrecked Trans-Am that he could fix. He bought the car for 65% of the original price. If he paid $4,875, what was the original cost of the Trans-Am before it was wrecked?

Answers

Answer:

$7,500

Step-by-step explanation:

65% = 4875

divide both by 65

1% = 75

multiply by 100

100% = 7500

Simplify the expression: (4p-8/p^3-2p^2-q+2/q^3+2q^2) x p/2q-p

Answers

+1 • (2p5q3x + 4p4q3x + 2p3q5x + p3q4x + 2p3q2 + 2p3x + 8q3x)

I would explain how to get it but it’s like 20 steps into getting this
Good luck though please tell me if I did any part of this problem wrong it might be some typos

what is the answer to 3x = 6

Answers

6/3 = 2
3 x 2 = 6
3(2) = 6
x = 2

Answer:

2

Step-by-step explanation:

3x=6

same thing as 3*x=6

3*2=6

x=2

How many 1/4 inches are in 3 inches? Draw a diagram to demonstrate your answer.​

Answers

Answer:

12

Step-by-step explanation:

Gary bought a bond with a face value of $12,000 and a coupon rate of 6.5% The bond will mature in 10 years
How much interest will he receive semiannually?
$780
$650
$468
16 $390
1 2 3
1144
Next

Answers

The inerest that Gary will receive semiannually on the bond he bought is $390.

What is the interest?

Interest is the regular payment a bondholder would receive during the live of the bond. When the interest is received semiannually, it means the bondholder is paid twice a month.

Interest = face value x (coupon rate / 2)

(6.5 / 2) x $12000= $390

To learn more about interest, please check: https://brainly.com/question/26164549

Answer:

$390

Step-by-step explanation:

12,000 x 6.5% = 780

780/2=390

took the test

.How do you determine if two numbers
or expressions are equation

Answers

Answer:only if all of the terms in the two expressions are the same, then the two expressions are similar

Marie built a sand castle that is made a
of two rectangular prisms. If there are
2,000 cubic inches of sand in a bag of
sand, how much sand was left after
Marie built her sand castle? Explain
how you found your answer.

Answers

Answer:

Are there any measurements for the size of the prisms? I think we need more info for this. I'll delete this when you answer and upload a new one :)

Step-by-step explanation:

The amount of sand left after building the sand castle is 290 inches³.

What is Rectangular Prism?

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

We have to find the volume of each of the rectangular prism to know how much sand is used to make the castle.

Volume of a rectangular prism = l × w × h

where l, h and w are length, height and width of the prism respectively.

Volume of larger prism = 15 × 15 × 6

                                       = 1350 inches³

Volume of smaller prism = 9 × 8 × 5

                                         = 360 inches³

Total volume of the castle = 1350 + 360 = 1710 inches³

Remaining sand = 2000 - 1710 = 290 inches³

Hence the sand that remains is 290 inches³.

Learn more about Volume here :

https://brainly.com/question/21308574

#SPJ2

Identify the range of the function shown in the graph

Answers

Answer:

[-1, 1]

Step-by-step explanation:

The range will be all y-values that the function reaches. Here, we see that the function is periodic which goes through a pattern of waves. It will go forever in both directions of the x-axis. However, in the y-dimension, it ranges from -1 to 1. It will have brackets as it touches 1 and -1 instead of approaching.

If x2 + y2 + z2 = 9, dx dt = 3, and dy dt = 9, find dz dt?

Answers

Answer:

dz/dt = -(3x + 9y)/z

Step-by-step explanation:

x² + y² + z² = 9

2x dx/dt + 2y dy/dt + 2z dz/dt = 0

x dx/dt + y dy/dt + z dz/dt = 0

x * 3 + y * 9 + z dz/dt = 0

so

dz/dt = -(3x + 9y)/z

A student attends only 3 out of every 4 days during a summer course. If the student attended 105 days, how many days did the summer course run?

Answers

Answer:   140 days

Step-by-step explanation:

3 times 35 is 105 days

35 plus 105 is 140 days

2.
The bus departs the bus terminal every 2 hours. If the first bus is
scheduled to depart at 10:35 a.m., when should the second
bus depart?

Answers

Answer:

12:35

Step-by-step explanation:

the first bus is at 10:35 so 10:35 + 2:00 = 12:35

Answer:

12:35 p.m.

Step-by-step explanation:

I mean it's pretty simple tbh. If the bus departs every two hours, then two hours from 10:35 is 12:35 p.m.

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