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3 years ago

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A system of equations is shown below: y = 8x − 2 y = 9x − 7 What is the solution to the system of equations? (1 point) (−5, 38)

(−5, −38) (5, 38) (5, −38)

1 answer:

Oxana [17]3 years ago

4 0

Answer:

(5,38)

Step-by-step explanation:

Use graphing calculator and the answer should be the point where the line crosses each other.

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The length of the rectangle is twice the width. Find the length of the rectangle if the perimeter is 42m.

kompoz [17]

Answer:

28m

Step-by-step explanation:

2x+x=42

3x=42

x=14

However, since the length of the rectangle is twice the width, we'll need to multiply it by 2.

So: 14 times 2=28

8 0

3 years ago

The sum of two consecutive integers is 345. What are the integers? need help with it

horrorfan [7]

Answer:

hi there ☺️

Here we will use algebra to find three consecutive integers whose sum is 345. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 345. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 345

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 345

3X + 3 = 345

3X + 3 - 3 = 345 - 3

3X = 342

3X/3 = 342/3

X = 114

Which means that the first number is 114, the second number is 114 + 1 and the third number is 114 + 2. Therefore, three consecutive integers that add up to 345 are 114, 115, and 116.

114 + 115 + 116 = 345

We know our answer is correct because 114 + 115 + 116 equals 345 as displayed above.

Step-by-step explanation:

pls rate me the brainiest

3 0

3 years ago

Determine if the table shows a linear or an exponential function

____ [38]

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

$y=mx+b$

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

$\displaystyle r=\sqrt{\frac{1}{4}}$

$\displaystyle r=\frac{1}{2}$

Testing other points we'll find the same ratio, thus the table is an exponential function

4 0

3 years ago

Read 2 more answers

A triangle can be formed with side lengths 4, 5, 8,<br><br> A : true<br> B : false

svetoff [14.1K]

The answer would be true because 4+5 is > 8

8 0

3 years ago

Read 2 more answers

Why y'all put 1\3 bdhchgf d gchg hello. helo0o elhwl

nydimaria [60]

Answer:

1/3=33.33%?

Step-by-step explanation:

the only math I see is 1/3 and a random 0 near O's

5 0

2 years ago