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2 years ago

5% as a decimal and a fraction

Mathematics

1 answer:

Daniel [21]2 years ago

6 0

Answer:

5%=0.05=1/20

Step-by-step explanation:

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Find the x-intercepts of the quadratic funct f(x) = x2 – 5x – 14

Trava [24]

Answer:

x = - 2, x = 7

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2

7 0

2 years ago

Prestige car rentals charge $44 per day plus 6 cents per mile to rent a mid sized vehicle. Gateway auto charges $35 per day plus

bulgar [2K]

Answer:

300 miles

Step-by-step explanation:

Let

x ----> the number of miles

y ----> the total cost for rent a car

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

Prestige car rentals

we have that

The slope is equal to $m=\$0.06\ per\ mile$

The y-intercept is $b=\$44$

therefore

$y=0.06x+44$ -----> equation A

Gateway auto

we have that

The slope is equal to $m=\$0.09\ per\ mile$

The y-intercept is $b=\$35$

therefore

$y=0.09x+35$ -----> equation B

For what number of miles both companies charge the same price>

Equate equation A and equation B

$0.09x+35=0.06x+44$

solve for x

$0.09x-0.06x=44-35\\0.03x=9\\x=300\ miles$

6 0

3 years ago

Let w = x2 + y2 + z2, x = uv, y = u cos(v), z = u sin(v). use the chain rule to find ∂w ∂u when (u, v) = (9, 0).

jasenka [17]

By the chain rule,

$\dfrac{\partial w}{\partial u}=\dfrac{\partial w}{\partial x}\cdot\dfrac{\partial x}{\partial u}+\dfrac{\partial w}{\partial y}\cdot\dfrac{\partial y}{\partial u}+\dfrac{\partial w}{\partial z}\cdot\dfrac{\partial z}{\partial u}$
$\dfrac{\partial w}{\partial u}=2xv+2y\cos v+2z\sin v$

We also have $x(9,0)=0$ , $y(9,0)=9$ , and $z(9,0)=0$ , so at this point we get

$\dfrac{\partial w}{\partial u}(9,0)=2\cdot9\cdot\cos0=18$

7 0

3 years ago

Which is the correct calculation for the volume of the prism 6 length 4 width 7 high

Hoochie [10]

The last one is correct because a prism is length * width * hight

6 0

3 years ago

Read 2 more answers

9=90,8=72,7=56,6=42,3=?

Nat2105 [25]

9(10)=90

8(9)=72

7(8)=56

6(7)=42

5(6)=30

4(5)=20

3(4)=12

3=12

7 0

3 years ago

Read 2 more answers