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3 years ago

If f(x) = 4x2 and g(x) = x+1, find (f.g)(x).

Mathematics

1 answer:

joja [24]3 years ago

7 0

Answer:

8x+8

Step-by-step explanation:

(f.g)(x)= (f)(g)

(f.g)(x)=(4.2)(x+1)

(f.g)(x)=(8)(x+1)

(f.g)(x) =8x+8

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What is the image of (6,-2) under the translation (x,y) (x-5,y-8)

german

The new point would then be at (1, -10)

6 0

3 years ago

Justine charges $25 to wash a dog. She washed 5 dogs on Saturday and then some more on Sunday. She made $325 for the weekend. Ho

Marrrta [24]

Answer

• A. Equation: 25(5 + x) = 325

• B. Answer: 8 dogs

Explanation

Given

• Charge to wash a dog: $25.

• She washed 5 dogs on Saturday and then some more on Sunday.

• She made $325 for the weekend.

Procedure

She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).

Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:

$25(5+x)=325$

Then, we have to solve for x to know how many dogs did she wash on Sunday.

0. Multiplying the parenthesis

$125+25x=325$

<em>2. Subtracting 125 from both sides of the equation</em>

$125-125+25x=325-125$ $25x=200$

<em>3. Dividing both sides of the equation against 25</em>

$\frac{25x}{25}=\frac{200}{25}$ $x=8$

8 0

1 year ago

If breadth of a cuboid is one-fourth of its length,height is 5cm and total surface area is 328 cm²,find the length and breadth o

velikii [3]

The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

<h3>How to find the Surface Area of Cuboid?</h3>

A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), Breadth (B), and Height (H) of the cuboid and use the formula, SA=2 x ( LB + BH + HL ) , to find the surface area.

Here, We have given that height of the cuboid is 5cm.

Let length of the cuboid = X cm

so, the breadth of the cuboid = $\frac{X}{4}$ cm

also, we have given that total surface area is 328 cm²

Now, put all the values in the formula of Surface Area (SA):

SA = 2 x ( LB + BH + HL )

SA = 2 x ( X²/4 + 5X/4 + 5X )

SA = 2 x ( ( X² + 5X + 20X) / 4 )

SA = ( X² + 5X + 20X ) / 2

X² + 5X + 20X = 328 x 2

X² + 25X = 656

X² + 25X - 656 = 0

using Quadratic Formula: see the attached figure for the formula.

here Discriminant D = b² - 4ac

D = 625 - 4(-656)

D = 3249

on putting value of D or b² - 4ac in the formula we get

X = ( -25 + 57 ) / 2 and ( -25 - 57 ) /2

length can not be negative so we eliminate the second answer.

now, X = 16 cm

breadth = X /4 = 4 cm

Hence, The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

Learn more about " Quadratic Formula " from here: brainly.com/question/2615966

#SPJ9

3 0

2 years ago

If y varies directly as x^2 find k when x=2 and y=8

Grace [21]

I think the answer is 2

8 0

3 years ago

Write a four digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number

gregori [183]

Answer:

4894

Step-by-step explanation:

I know that it is divisible by 2, because it is an even number, and also the one's digit has 4, which is divisible by 2.

hope this helps :3

7 0

3 years ago

Read 2 more answers

If f(x) = 4x2 and g(x) = x+1, find (f.g)(x).​

If f(x) = 4x2 and g(x) = x+1, find (f.g)(x).