All categories

3 years ago

Taille LHRISTINE

Mathematics

1 answer:

BartSMP [9]3 years ago

5 0

Answer:

$-5 = x$

Step-by-step explanation:

$7(4x + 9) - 10 = -87 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \: 10 \: \: \: \: + 10 \\ \\ \frac{7(4x + 9)}{7} = -\frac{77}{7} \\ \\ 4x + 9 = -11 \\ \: \: \: \: \: \: -\: 9 \: \: \: \: \: - \: 9 \\ \\ \frac{4x}{4} = -\frac{20}{4} \\ \\ x = -5$

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

You might be interested in

Which statement is true?

iren [92.7K]

It’s d hope this helps

4 0

3 years ago

The number of patients treated at Dr. Artin’s dentist office each day was recorded for nine days. These are the data: 6, 6, 6, 5

klemol [59]

Answer:

D) 5.6, 6, 6, 1

Step-by-step explanation:

Before we start solving this problem, we need to first rearrange the provided data from smallest to greatest, so we get:

5, 5, 5, 5, 6, 6, 6, 6, 6

now we can find the mean. The mean is nothing but the average of the provided values, so we need to add them and then divide them into the total amount of data:

$mean=\frac{5+5+5+5+6+6+6+6+6}{9}=5.6$

next, in an odd number of data, the median is the middle number when written in order. In this case the middle number (the one in the position 5) is 6, so:

median=6

the mode will tell you what is the value that has the greatest number of occurrencies. This is the number that appears the most on our list.

Mode=6

and the range is the difference between the greatest value and the smallest value:

Range=6-5=1

so the answer is D.

6 0

3 years ago

Use a sentence to describe c(10)=-3

antiseptic1488 [7]

Answer:

a number times ten equals negative three

Step-by-step explanation:

7 0

3 years ago

Need help with two of these! Thank you

astraxan [27]

Step-by-step explanation:

17) 3x+5-12+4x+2x

3x+4x+2x +5-12

8x-7

if x =6

8*6-7 =48-7

= 41

18.) 9(3x-4y+8)

27x-36y+72

6 0

3 years ago

Please answer both questions math

djyliett [7]

Answer:

$3$ and perpendicular

Step-by-step explanation:

It's important to remember that equations of lines are always set up in the format of $y=mx+c$ .

$y$ is the $y$ value, $m$ is the gradient/slope, $x$ is the $x$ value and $c$ is the y-intercept.

Therefore, we must always rearrange our line equations so that $y$ is the subject.

In the first question, we are given the equation $2x+6y=12$ .

We rearrange to make $y$ the subject:

$6y = 12-2x$

Then, we divide both sides by 6 to have the $y$ isolated:

$\frac{6}{6} y = \frac{12}{6} - \frac{2}{6}x\\\\ y = 2 - \frac{1}{3}x$

To find a perpendicular slope, we use the negative reciprocal of the original slope. The negative part of that means we negate the value (it becomes inverse) and the reciprocal part means that we flip the fraction.

So here, the slope is $-\frac{1}{3}$ .

So, the negative reciprocal of that would be $3$ because we inverse the sign (the negative becomes positive) and the fraction is flipped to create $\frac{3}{1}=3$ .

So, the perpendicular slope is $3$ .

In the second question, we have two equations. They both need to be rearranged to isolate the $y$ .

$4x-y=5\\4x = 5 + y\\y = 4x - 5\\\\4y = -x-12\\y = -\frac{1}{4}x - 3$

Look at the slopes of the two equations. If you look carefully, you will see that they are inverse of each other (one is positive and one is negative) and if you imagine $4 = \frac{4}{1}$ , the fraction is flipped.

This means that the values are negative reciprocals of each other, meaning the lines are perpendicular.

5 0

2 years ago