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2 years ago

(x – 4)(x + 10) = -17

Mathematics

1 answer:

pogonyaev2 years ago

4 0

Answer:

-3 + 4sqrt(2)

-3 - 4sqrt(2)

Step-by-step explanation:

(x – 4)(x + 10) = -17

FOIL on the left hand side (First outer inner last)

x^2 +10x-4x-40 = -17

x^2 +6x-40 =-17

Add 17 to each side

x^2 +6x-40+17 =-17+17

x^2 +6x -23 = 0

Using the quadratic formula

-b + - sqrt(b^2 -4ac)

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

where ax^2 +bx+c=0

-6 + - sqrt(6^2 -4*1*-23)

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

2*1

-6 + - sqrt(36 +92)

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

-6 + - sqrt(128)

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

-6 + - 8sqrt(2)

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

Divide top and bottom by 2

-3 + - 4sqrt(2)

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Solve for y: x/y - 8 = w

inysia [295]

X/y-8=w
x-8y=wy
x=wy+8y
x=y(w+8)
y= $\frac{x}{w+8}$

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3 years ago

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balu736 [363]

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6 0

2 years ago

If a spinner for a game is spun once, there is a 25% chance it will land on

bonufazy [111]

Answer:

$Pr = 0.6$

Step-by-step explanation:

Given

Let

$O \to Orange$

So:

$P(O) = 25\%$ --- probability of O

$n=2$ --- Number of spin

Using the complement rule, the probability that a spin will not land on orange is:

$P(O') = 1 - P(O)$

$P(O') = 1 - 25\%$

Express as decimal

$P(O') = 1 - 0.25$

$P(O') = 0.75$

On two spins, the probability that it will not land on orange is:

$Pr = P(O') * P(O')$

So, we have:

$Pr = 0.75* 0.75$

$Pr = 0.5625$

$Pr = 0.6$ --- approximated

6 0

2 years ago

there are 91 days until the craft sale. Autumn needs to make 817 rings before the sale. she wants to make about the same number

marta [7]

817/91 =8.98

she needs to make about 9 rings each day

6 0

3 years ago

Read 2 more answers

If a given data point is (1,4) and the line of best fit is y = 1.5x + 3.25, what's the residual value?

Svetlanka [38]

Answer:

The residual value is -0.75

Step-by-step explanation:

we know that

The residual value is the observed value minus the predicted value.

RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]

where

Predicted value.--> the predicted value given the current regression equation

Observed value. --> The observed value for the dependent variable.

in this problem

we have the point (1,4)

The observed value is 4

Find the predicted value for x=1

$y =1.5(1)+3.25=4.75$

predicted value is 4.75

RESIDUAL VALUE=(4-4.75)=-0.75

4 0

3 years ago