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3 years ago

12

!!WILL MARK BRAINLIEST!!! please provide a small explanation with it too

1 answer:

Ipatiy [6.2K]3 years ago

4 0

Answer:

(-2, 7); (See attachment)

Step-by-step explanation:

x + 2y = 12

7x + 2y = 0

x + 2y = 12

x = -2y + 12

Solve for y:

7x + 2y = 0

7 (-2y + 12) + 2y = 0

-12y + 84 = 0

-12y = -84

y = 7

Solve for x:

x = -2y + 12

x = -2 (7) + 12

x = -2

x = -2, y = 7

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Aubrey can walk 4 1/2 miles in 1 1/2 hours. Find her average speed in miles per hour.

Naddik [55]

Time = 11/2 = 5 1/2
Road = 4 1/2 miles
Speed = 5 1/2 : 4 1/2 = 1 2/9 <------------answer

4 0

3 years ago

Read 2 more answers

Explain in a complete sentence how to tell the difference between the power of power and the power of product rule. Please help

german

Answer:

Step-by-step explanation:

The power of a power rule is when power is raised to another power. (x^n)^m. when you do this rule, you must multiply the exponents so, x^nm or x^n*m.

The product rule for exponents is used when there are multiple terms that are raised by an exponent that have the same base and ae being multiplied. x^3 * x^2. To solve this, you keep the base (x) and add the two exponents together (3 and 2) so, x^3+2 = x^5.

Hope this helped (:

4 0

4 years ago

Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

<em>The fraction of the beads that are red is</em>

Step-by-step explanation:

<u>Algebraic Expressions</u>

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

3 years ago

use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042

marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is

24, 30, 36, 42, 48, ...

It is an AP. Here,

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

$a_n=a_1+(n-1)d$

where, $a_1$ is first term, d is common difference.

Substitute $a_1=24, d=6 \text{ and }n=500$ in the above formula.

$a_{500}=24+(500-1)(6)$

$a_{500}=24+(499)(6)$

$a_{500}=24+2994$

$a_{500}=3018$

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

3 0

3 years ago

The function f(x) = 2x2 + 6x - 12 has a domain consisting of the integers from -2 to 1, inclusive. Which set represents the corr

Dimas [21]

Answer:

[-16,-4]

Step-by-step explanation:

We are given that

$f(x)=2x^2+6x-12$

Domain=[-2,1]

We have to find the set of range values of f(x).

Substitute x=-2

$f(-2)=2(-2)^2+6(-2)-12$

$f(-2)=-16$

Substitute x=1

$f(1)=2(1)+6(1)-12=-4$

Range of f(x)=[-16,-4]

Hence, the set of range values of f(x)

[-16,-4]

7 0

3 years ago