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vredina [299]
3 years ago
15

Solve for r. 35r-21<-35r+19

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

Good morning ☕️

Answer:

r < \frac{4}{7}

Step-by-step explanation:

35r-21 < -35r+19

⇌ 35r + 35r < 19 + 21

⇌ 70r < 40

⇌ r < 40/70

⇌ r < 4/7

_________________________

:)

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Which piece wise function is graphed below
AlekseyPX

Answer:

Option A

Step-by-step explanation:

Here is how to approach the problem:

We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.

At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.

Now we have two choices left.

For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.

Vertext form is f(x) = a(x-h)^2 + k.

h being the x-coordinate of the vertex and k being the y-coordinate.

We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.

3 0
2 years ago
For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans. Three times as many stu
Katyanochek1 [597]

Answer: 33 students wore blue jeans .

Step-by-step explanation:

Let x be the number of black pants.

Given : For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans.

Three times as many students wore black pants as blue jeans.

i.e. Number of blue pants = 4x

If there are forty-four students in the choir, then we have

x+3x=44\\\\\Rightarrow\ 4x=44

Divide both sides by 4 , we get

x=11

Thus , the number of black pants = 11

Then , the number of blue pants = 3\times11=33

Therefore, 33 students wore blue jeans .

6 0
3 years ago
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Please help
taurus [48]

Answer:

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Step-by-step explanation:

(1,3) and (3,7)

m = (7-3)/3-1)

= 4/2

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5 0
2 years ago
A data set is normally disturbed. As data points are removed from both ends of the range, what happens to the display of data?
sergij07 [2.7K]

Answer: The display becomes skewed left.

Step-by-step explanation:

7 0
2 years ago
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