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2 years ago

5

Yesterday it was -14°F in Nome, Alaska. At the same time it was 43°F in Austin, Texas. What was the DIFFERENCE in the temperatur

es of these two cities?

1 answer:

Allisa [31]2 years ago

3 0

Answer:

57°F differences

Step-by-step explanation:

-14+57= 43

43-57= -14

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What kind of triangle has sides that have length 4, 8, and 10? ( the triangle acute, right, or obtuse ?)

dybincka [34]

Answer:

acute because your a cutie

Step-by-step explanation:

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2 years ago

Over the summer, for every 11 okra seeds Dana planted, 6 grew into plants. If he planted 110 okra seeds, how many grew into plan

PilotLPTM [1.2K]

Answer:

A

Step-by-step explanation:

write it as a ratio

11:6 = 110: x

cross multiply

11x= 660

divide by 11 on both sides

x= 60

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2 years ago

If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.

Neporo4naja [7]

Answer:

The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

<em></em>

Step-by-step explanation:

Given

$f(x)=x^3-12x^2+35x-24$

$f(8) = 0$

Required

Find all zeros of the f(x)

If $f(8) = 0$ then:

$x = 8$

And $x - 8$ is a factor

Divide f(x) by x - 8

$\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}$

Expand the numerator

$\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}$

Rewrite as:

$\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}$

Factorize

$\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}$

Expand

$\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}$

Factorize

$\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}$

$\frac{f(x)}{x - 8} = (x - 1)(x - 3)$

Multiply both sides by x - 8

$f(x) = (x - 1)(x - 3)(x - 8)$

<em>Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)</em>

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2 years ago

Reduce the fraction to lowest terms m^2/m^2-n^2

Softa [21]

Answer:

$\boxed{\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}}$

Step-by-step explanation:

Factor $\bold{m^2-n^2}$

$\bold{\left(m+n\right)\left(m-n\right)}$

Rewrite Equation

$\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}$

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3 years ago

Read 2 more answers

Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form.

Kisachek [45]

Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

y = a(x-2)^2 + 5

Plug in (1,11) and solve for a:

11 = a(1-2)^2 + 5

a = 6

Equation in vertex form:

y = 6(x-2)^2 + 5

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2 years ago