What is f(x) times g(x)

Answer:

[-6,-3]

Step-by-step explanation:

So we have the compound inequality:

[tex]2x+7\leq x+4\leq 3x+16[/tex]

Let's solve for each of the inequalities:

1)

We have:

[tex]2x+7\leq x+4[/tex]

Subtract x from both sides:

[tex]x+7\leq 4[/tex]

Subtract 7 from both sides:

[tex]x\leq -3[/tex]

So that's one of our answers.

2)

We have:

[tex]x+4\leq 3x+16[/tex]

Subtract 3x from both sides:

[tex]-2x+4\leq 16[/tex]

Subtract 4 from both sides:

[tex]-2x\leq 12[/tex]

Divide both sides by -2. Since we're dividing by a negative, flip the sign:

[tex]x\geq -6[/tex]

Therefore, our entire answer is:

[tex]-6\leq x\leq -3[/tex]

This means all values in between -3 and -6 including -3 and -6.

In interval notation, this is:

[tex][-6,-3][/tex]

So, A is -6.

And B is -3.

And we're done :)

Answer:

Step-by-step explanation:

[tex]4x - 3 < 7[/tex]

Add 3 to both sides of the equation

[tex]4x - 3 + 3 < 7 + 3 \\ 4x < 7 + 3 \\ 4x < 10[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} < \frac{10}{4} [/tex]

Simplify

[tex]x < \frac{5}{2} [/tex]

The solution to the inequality is x < 5/2.

In Mathematics and Geometry, an inequality is a relation that compares two (2) or more numerical data, number, and variables in an algebraic equation based on any of the inequality symbols;

In this scenario and exercise, we would determine the solution set to the given inequality for x in parts as follows;

4x - 3 < 7

By adding 3 to both sides of the inequality, we have:

4x - 3 + 3 < 7 + 3

4x < 10

x < 10/4

x < 5/2.

Read more on inequality here: brainly.com/question/30665021

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Answer:

bro u just add them together

Step-by-step explanation:

5685+22643=28,328

Answer:

A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)

Step-by-step explanation:

it's basically a just any number but can't be a decimal or fraction

Answer:

A set of whole numbers and their opposites.

Step-by-step explanation:

...... -4 -3 -2 - 1 0 1 2 3 4......

Answer:

[tex]\frac{8}{2}[/tex] is a rational number

Step-by-step explanation:

Answer: Distance = 5

Answer: 7 cm

Step-by-step explanation: The formula for this type of question is; √2×d÷2 where d stands for the diagonal so, √2×10÷2 = 7.071067812, to the nearest cm is 7cm.

Answer:

7 cm

Step-by-step explanation:

The diagonal divides the square into 2 right triangles.

Using Pythagoras' identity with the diagonal as the hypotenuse.

let x be the side of the square, then

x² + x² = 10²

2x² = 100 ( divide both sides by 2 )

x² = 50 ( take the square root of both sides )

x = [tex]\sqrt{50}[/tex] ≈ 7 cm ( to the nearest cm )

I'm not really good at this

9500 x 7.375/100 = $700.625

Answer:

8x^2 - 2xy + 3y^2

Step-by-step explanation:

Use the FOIL method

8x^2 + 4xy - 6xy + 3y^2

8x^2 - 2xy + 3y^2

Answer:

A rotation 90 degrees clockwise about the origin followed by a dilation with scale factor A

Step-by-step explanation:

The rotation is going clockwise, so that already eliminates the first, second, and third answer, leaving answer C

Answer:

Point just took the test and this is the answer.

Step-by-step explanation:

Answer:

a = -7/3

Step-by-step explanation:

4 - (3a + 4) = 7

4 - 3a - 4 = 7

-3a = 7

a = -7/3

Answer:

Years 3-4 and the percentage change was by 8%. Please vote Brainliest!

Step-by-step explanation:

Answer:

C the greatest growth was between 3 and 4 and about 8%

Step-by-step explanation:

Answer:

The answer is (2, 4)

Step-by-step explanation:

I hope this helps!

Answer:

11

Step-by-step explanation:

[tex]h(x)=5x+1\\\\h(2)=5(2)+1\\\\h(2)=10+1\\\\\boxed{h(2)=11}[/tex]

Hope this helps.

Answer:

Because we're not awful human beings, its not fair for men to be better than women

Step-by-step explanation:

Answer:

DECIMAL TASK #30

$81.15

Step-by-step explanation:

12.95 x 2 = 25.9

or

12.95 + 12.95 = 25.9

and then

9.75 x 3 = 29.25

or

9.75 + 9.75 + 9.75 = 29.25

and then

the 26 from the popcorn and drinks

25.9 + 29.25 + 26 = 81.15

Answer:

The correct option is;

The domain restriction is correct but the expression for f⁻¹(x) is not

Step-by-step explanation:

The expression for the function is given as follows;

f(x) = x² - 331

The inverse function suggested = f⁻¹(x) = √(x-331)

The domain restriction is x ≥ 0

The inverse function if given as follows;

y = x² - 331 (Interchange x and y to get)

x = y² - 331

x + 331 = y²

y = ±√(x + 331)

Given that the domain restriction has been put as x ≥ 0, we select the + case to give;

f⁻¹(x) = √(x + 331)

Therefore, the domain restriction is correct but the expression for f⁻¹(x) is not.

Answer: B

The domain restriction is correct, but the expression for f–1(x) is not.

Step-by-step explanation:

Answer:

6y

Step-by-step explanation:

uhhhh

Answer:

The length of a piece of wood is 2 cm.

Given:

volume = 100 cm³

width = 5 cm

height = 10 cm

length = ?

Volume is computed by multiplying the length, width, and height of an object.

Volume = length * width * height

100 cm³ = length * 5 cm * 10 cm

100 cm³ = length * 50 cm²

100 cm³ / 50 cm² = length

2 cm = length

to check:

100 cm³ = 2 cm * 5 cm * 10 cm

100 cm³ =  10 cm² * 10 cm

100 cm³ = 100 cm³

Answer:

2 cm

Step-by-step explanation:

write out equation for volume for a Rectangular prism and plug in the numbers you have. Multiply the Width and Height and divide the volume with the product of Width X Height

Answer:

a

Step-by-step explanation:

Answer:

a to a

Step-by-step explanation:

Answer:

4) M=5

Step-by-step explanation:

When multiplying exponents, you add them.  When raising an exponent to another power, you multiply them.

(x^5*x²)³=(x^7)³=x^21

Answer:

19 kilograms

Step-by-step explanation:

because it is

Answer:

9 units²

Step-by-step explanation:

Area of triangle= ½ × base × height

The base here is 3 units and the height is 6 units.

Area of traingle

= ½(3)(6)

= 9 units²

Answer:

616 cm²

Step-by-step explanation:

Area of circle:

Since d = 28 cm and π = 22/7, the area is:

distance formula

sq root of (x2−x1)^2+(y2−y1)^2

sq root of (6−(−8))^2+((−1)−(−2))^2

simplify, its easier than it looks

sq root of 197

14.03566884

round to nearest hundreth

14.04