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Vedmedyk [2.9K]
3 years ago
8

The opposite of 4x and -5 + 4x

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0
The opposite of 4x is -4x and the opposite of -5+4x is 5+-4x
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The smaller triangle is the image of the larger triangle after a dilation. The center of the dilation is (4,2). What is the scal
zzz [600]
Small triangle: <span>The side // x axis has a length of 4
Large triangle: The side // x axis has a length of 12

So Small/Large = 4/12 = 1/3

Small triangle: <span>The side // y axis has a length of 3
Large triangle: The side // y axis has a length of 9


</span><span>So Small/Large = 3/9 = 1/3

So the scale factor to obtain this dilatation is 1/3</span>

</span>
7 0
3 years ago
Read 2 more answers
Which function is increasing at the highest rate? A. B. A linear function on a coordinate plane passes through (minus 1, 3), and
xenn [34]

The highest rate on increasing is of 12x -6y = -24; Option B is the correct answer.

The options are given in the image attached with the answer

<h3>What is a Function ?</h3>

A function is a law that relates a dependent variable and an independent variable.

It is asked among the options given , which is increasing at the highest rate.

To increase at a rate , the value of the slope , m should be > 0

For the Option 1

for a straight line function , the slope is given by

m = ( y₂ -y₁)/(x₂-x₁)

m = ( -3 -3)/(2- (-1)) = -6 /3 = -2

Therefore the function is decreasing

For Option 2

12x - 6y = -24

-6y = -12x -24

y = 2x +4

m = 2 (increasing)

For option 3

m = (-4 + 5)/(2-1) = 1

For Option 4

(8,0) (0,-4)

m = (-4 -0) /(0-8) = 4/8 = 1/2

The highest rate on increasing is of 12x -6y = -24

Therefore Option B is the correct answer.

To know more about Function

brainly.com/question/21145944

#SPJ1

6 0
2 years ago
A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estim
STALIN [3.7K]

Answer:

The inequality is 5.5n \leq 45

Step-by-step explanation:

Total time:

The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.

In this question:

Same number(n) of both.

Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:

T = 2n + 3.5n = 5.5n

Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?

This means that:

T \leq 45

So

5.5n \leq 45

The inequality is 5.5n \leq 45

5 0
3 years ago
4(x + 8), x = 10 <br> 5(15p - 2), p = 3<br> (solve for both)
REY [17]

Answer:

1. 4(10+8) 40+32=72

2. 5(15*3-2) 5(45-2) 225-10=215

Step-by-step explanation:

4 0
3 years ago
The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 17 minute
Arturiano [62]

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X \sim uniform(3.17)

f(x) = \dfrac{1}{17-3}   ; \ \ \ 3 \le x \le 17

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

P(X > 5) =  \int ^{17}_{5} f(x) \ dx

P(X > 5) =  \int ^{17}_{5} \dfrac{1}{17-3} \ dx

P(X > 5) =\dfrac{1}{14}  \Big [x \Big ] ^{17}_{5}

P(X > 5) =\dfrac{1}{14} [17-5]

P(X > 5) =\dfrac{12}{14}

P(X>5) = 0.857

6 0
3 years ago
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