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4 years ago

Write an equation for a linear function f that has the given values: f(-3) = 2 and f(1) = 0

1 answer:

7 0

A linear function can be written in this form:

y - y2 = m(x - x2)

f(-3) = 2
f(-3) is saying that some function had the number -3 put in for the value of x. The output was a value of 2. Which is our y. So we have a coordinate point of:
(-3, 2)

Same thing with f(1) = 0

(1,0)

Now we need to find the slope, m.

(2 - 0) / (-3 - 1) = 2 / -4 = -1/2

So an equation for the linear function f is this:
y - 2 = -1/2(x + 3)

(Note that the -3 we subbed in has become a positive 3 because the equation called for a negative. And two negatives become a positive)

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PLEASE HELP ME ASAP W/THIS THANK YOU SO MUCH!!!!!!

djyliett [7]

Your answer to this would be:

A) ∠3, ∠6, ∠7

∠3 is congruent to ∠2 because of the vertical angles theorem. This theorem states vertical angles (angles opposite each other) are congruent.

∠6 is congruent to ∠2 because of the corresponding angles theorem. This theorem states corresponding angles (angles that are in the same position as their correspondent) are congruent.

∠7 is congruent to ∠2 because of the alternate exterior angles theorem. This theorem states that alternate exterior angles (angles on opposite sides of the transversal and outside the two parallel lines) are congruent.

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3 years ago

Letter grades earned by a particular student in history class.

Lorico [155]

Letter grades are not numerical, but can be ordered in a meaningful way. Because the responses are not numerical, they are considered qualitative. Because they can be ordered in a meaningful way, they are also considered ordinal. The best answer choice is B.

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4 years ago

What percent of 125 is 60?

MA_775_DIABLO [31]

Answer:

48%

Step-by-step explanation:

60 x 100% = 48%

125

Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

3 0

4 years ago

Determine o Conjunto Solução da equação do 2º grau abaixo. Deixe seus cálculos registrados.

scZoUnD [109]

Answer:

x = 15, x = 10

Step-by-step explanation:

6 0

3 years ago

Solve the equation after making an appropriate substitution. X^6-98x^3=3375

Leni [432]

Rearrange $x^6-98x^3=3375$ to give

$x^6-98x^3-3375=0$

Let $x^3$ be a variable 'p' and so we can write $x^6$ as $x^6=(x^3)(x^3)=(p)(p)= p^2$

Rewrite the equation in terms of 'p'

$p^2-98p-3375 = 0$

where $a=1, b=-98, c=-3375$

using the quadratic formula $\frac{-b+ \sqrt{b^2-4ac} }{2a}$ and subsitute the value of $a, b, c$

$p_1= \frac{-(-98)+ \sqrt{(-98)^2-4(1)(-3375)} }{2} =125$

$p_2= \frac{-(-98)- \sqrt{(-98)^2-4(1)(-3375)} }{2} =-27$

There are two value of p; 125 and -27

Now we find the value of x

Earlier we substitute $x^3$ for $p$ and $x^6$ for $p^2$

When $p=125$ , $x= \sqrt[3]{125}=5$
When $p = -27, x= \sqrt[3]{-27}=-3$

So the final answer is the two values of x;

x = 5 OR x = -3

3 0

3 years ago