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3 years ago

5

Three functions are shown below.

1 answer:

nekit [7.7K]3 years ago

5 0

f(x) = 3x2 - 4x - 3

g(x) = 5x + 2

h(x) = 3x2 + 4x-

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754,863 rounded to the nearest ten thousands place

12345 [234]

754,863 rounded to the nearest ten thousands is 750,000

7 0

3 years ago

The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = $\frac{7}{2} ft$

Step-by-step explanation:

Given,

Area of rectangle = $42 \: {ft}^{2}$

Width = X

Length = 2x + 5

Now,

$x(2x + 5) = 42$

$2 {x}^{2} + 5x = 42$

$2 {x}^{2} + 5x - 42 = 0$

$2 {x}^{2} + 12x - 7x - 42 = 0$

$2x(x + 6) - 7(x + 6) = 0$

$(2x - 7)(x + 6) = 0$

Either

$2x - 7 = 0$

$2x = 0 + 7$

$2x = 7$

$x = \frac{7}{2}$

Or,

$x + 6 = 0$

$x = 0 - 6$

$x = - 6$

Negative value can't be taken.

So, width = $\frac{7}{2} ft$

Again,

Finding the value of length,

Length = $2x + 5$

$2 \times \frac{7}{2} + 5$

$7 + 5$

$12$

Length = 12 ft

7 0

3 years ago

Read 2 more answers

Drag values to complete each equation.

kherson [118]

Answer:

$9^{-7}$ and $9^{-2}$

Step-by-step explanation:

using the rules of exponents

• $(a^m)^{n}$ = $a^{mn}$

• $a^{m}$ × $a^{n}$ = $a^{(m+n)}$

• $\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$

given ( $9^{5}$ × $9^{-9}$ ) / $9^{3}$

= $\frac{9^{5+(-9)} }{9^{3} }$ = $\frac{9^{-4} }{9^{3} }$ = $9^{-4-3}$ = $9^{-7}$

given $(9^4)^{3}$ × $9^{-14}$

= $9^{12}$ × $9^{-14}$

= $9^{12+(-14)}$ = $9^{-2}$

8 0

4 years ago

Read 2 more answers

Solve the equation x=5/3πr^3 for r.

JulsSmile [24]

Answer:

go to symbolab and put that in, ur welcome

6 0

3 years ago

TRIANGLE CONGRUENCE! PICTURE ADDED. How is QTP congruent to SPT?

shtirl [24]

Answer:

The triangles are congruent because:

QP = ST
angle P = angle T
the side PT is in both triangles

We know when 2 sides of two triangles and the angle between them is congruent, the triangles are congruent.

5 0

3 years ago