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4 years ago

What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)

Mathematics

2 answers:

adoni [48]4 years ago

8 0

Y-intercept: (0, -24)

Sveta_85 [38]4 years ago

7 0

Answer:

The y-intercept of f(x) is -24.

(0,-24) C is correct.

Step-by-step explanation:

Given: $f(x)=(x-8)(x+3)$

We need to find the value of y-intercept.

For y-intercept, put x=0 into f(x) and solve for y because it lie on y-axis.

Put x=0 into f(x)

$y-intercept=f(0)$

$f(0)=(0-8)(0+3)$

$f(0)=-24$

y-intercept: (0,-24)

Hence, The y-intercept of f(x) is -24.

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Part 2: Use the information provided to write the standard form equation of each circle

Archy [21]

Answer:

The answer to your question is below

Step-by-step explanation:

- The Standard form of the equation is

(x - h)² + (y - k)² = r²

Center (8, -4) r = $\sqrt{118}$

-Substitution

(x - 8)² + (y + 4)² = $\sqrt{118}$ ²

-Result

(x - 8)² + (y + 4)² = 118

Center (-10, 9) r = $\sqrt{37}$

-Substitution

(x + 10)² + (y - 9)² = $\sqrt{37}$ ²

-Result

(x + 10)² + (y - 9)² = 37

6.-

Center (-8, 0) r = 6

-Substitution

(x + 8)² + (y - 0)² = (6)²

-Result

(x + 8)² + (y - 0)² = 36

3 0

3 years ago

Read 2 more answers

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t

allochka39001 [22]

Answer:

Neither the normal distribution nor the t distribution applies.

Step-by-step explanation:

Hello!

The histogram attached shows the salary (in dollars) of 63 football players.

As you can see most of the values of this distribution are around 0 and the distribution is extremely asymmetrical (right skewed).

To apply a t-test to study the population average the population has to have a normal distribution.

The same goes for the standard normal distribution, but in this case, considering that the sample is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal X[bar]≈N(μ;δ²/n), but since the population variance is unknown, this is also not applicable.

The correct choice is the last one, since the conditions to apply the t test and the standard normal are not met.

I hope this helps!

6 0

3 years ago

A bag with 2 1/6 ounces of peanuts can make 2/5 of a jar of peanut butter. It can make a full jar with how many ounces of peanut

VladimirAG [237]

$\bf \begin{array}{ccllll}
\begin{array}{llll}
peanut\\bat
\end{array}&
\begin{array}{llll}
peanut\\jar
\end{array}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2\frac{1}{6}&\frac{2}{5}\\\\
x&1
\end{array}\implies \cfrac{2\frac{1}{6}}{x}=\cfrac{\frac{2}{5}}{1}\implies \cfrac{\frac{2\cdot 6+1}{6}}{\frac{x}{1}}=\cfrac{\frac{2}{5}}{\frac{1}{1}}$

$\bf \cfrac{\frac{13}{6}}{\frac{x}{1}}=\cfrac{2}{5}\cdot \cfrac{1}{1}\implies \cfrac{13}{6}\cdot \cfrac{1}{x}=\cfrac{2}{5}\implies \cfrac{13}{6x}=\cfrac{2}{5}\implies 13\cdot 5=2\cdot 6x
\\\\\\
65=12x\implies \cfrac{65}{12}=x\implies \boxed{5\frac{5}{12}=x}
\\\\\\
\cfrac{5\cdot 12+5}{12}\implies \cfrac{65}{12}$

5 0

3 years ago

Eric has another cube with edge lengths of 8 inches each He said the edge

Trava [24]

Answer:

nope

Step-by-step explanation:

Volume of a cube = a^3

1st cube with edge of 8:

V= 8^3

V= 512 cubic inches

2nd cube

V = (2 X 8)^3

V= 4096 cubic inches

If we multiply by 2 the 1st volume it is equal to 1024 cubic inches only, while the volume ogmf the 2nd cube is 4096

6 0

3 years ago

If 5x-3=8-2x then x=

son4ous [18]

Answer:

x=11/7

Step-by-step explanation:

7 0

3 years ago