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EleoNora [17]
3 years ago
11

Use the Distributive Property to simplify -4(-a + 2)

Mathematics
2 answers:
Alina [70]3 years ago
7 0

Answer:

4a + -8

Step-by-step explanation:

You would do -4 x -a a negative times a negative is a positive so your answer for that is 4a. Then you would do -4 times 2 a negative times a positive equals a negative so you answer there would be -8. Hope this is the correct answer sorry if it isn't

marysya [2.9K]3 years ago
4 0

Answer:

4a-8

Step-by-step explanation:

(-4×a)+(-4×2)

Distributive property

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Which is NOT a solution to the inequality below? 3x + 13≥ -8
k0ka [10]

x≥−7. hope this helps you good luck

3 0
3 years ago
I need desperate help PLEASE!!!
koban [17]

Answer:

OPTION B

OPTION D

Step-by-step explanation:

An element in the domain should be mapped to exactly one element on the co-domain. Also, every element in the domain should be mapped to an element in the co-domain.

These two conditions are satisfied to call a relation, a function.

Two different elements in the domain can be mapped to the same element in the co-domain. But the same element in the domain cannot be mapped to two different elements in the co-domain.

A) {(3,7), (3,6), (5,4), (4,7)}

Here, the element '3' in the domain is mapped to two elements 7 and 6. So, it is not a function.

B) {(1,5), (3,5), (4, 6), (6,4)}

This is a function because all the elements in the domain have a unique image in the co-domain. So, this is a function.

C) {(2,3), (4,2), (4,6), (6,4)}

Here, the element '4' in the domain is again mapped to two different elements. Hence, it cannot be a function.

D) {(0,4), (3,2), (4,2), (6,5)}

This is again a function. Because the domain is mapped to unique elements. So, this is a function.

4 0
3 years ago
An ellipse has a center at the origin, a vertex along the major axis at (10, 0), and a focus at (8, 0). Which equation represent
Alchen [17]
Check the picture below.  So the ellipse looks more or less like so.

since the major axis is over the x-axis, is a horizontal ellipse, notice the "a" component length and the value for "c".

\bf \textit{ellipse, horizontal major axis}
\\\\
\cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h\pm a,  k)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2- b ^2}
\end{cases}\\\\
-------------------------------

\bf \begin{cases}
h=0\\
k=0\\
a=10\\
c=8
\end{cases}\implies 8=\sqrt{a^2-b^2}\implies 8^2=a^2-b^2\implies b^2=10^2-8^2
\\\\\\
b=\sqrt{100-64}\implies b=6
\\\\\\
\cfrac{(x-0)^2}{10^2}+\cfrac{(y-0)^2}{6^2}=1\implies \cfrac{x^2}{100}+\cfrac{y^2}{36}=1

3 0
4 years ago
Read 2 more answers
If the sixth term in a geometric sequence is 1/625, and the common ratio is 15, find the explicit formula of the sequence.
Nonamiya [84]

Answer:

The explicit formula of the sequence is a_n=5(\frac{1}{5})^{n-1} for n \geq 2

Step-by-step explanation:

Sixth term in a geometric sequence =\frac{1}{625}

Common ratio =\frac{1}{5}

Formula of nth term =a_n=ar^{n-1}

Substitute the values

So,\frac{1}{625}=a(\frac{1}{5})^{6-1}\\\frac{1}{625}=a(\frac{1}{5})^{5}\\\frac{1}{625} \times 5^5=a

5=a

Substitute the value in 1

So,a_n=5(\frac{1}{5})^{n-1}

So, Option C is true

Hence the explicit formula of the sequence is a_n=5(\frac{1}{5})^{n-1} for n \geq 2

7 0
4 years ago
After a 80% ​reduction, you purchase a new washing machine on sale for ​$152. What was the original price of the washing machine
zaharov [31]

Answer:

760usd

Step-by-step explanation:

x-80%x=152

20%x=152

1/5x=152

x=152*5=760usd

5 0
3 years ago
Read 2 more answers
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