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miss Akunina [59]
3 years ago
8

On a piece of paper, graph y < 3/4 x+2 Then determine which answer matches the graph drew.

Mathematics
1 answer:
OleMash [197]3 years ago
3 0

Step-by-step explanation:

Given inequality is y.

To graph that inequality, first we need to graph the line y=\frac{3}{4}x+2. Then shade it for the inequality symbol <.

Graphing line can be done using two points.

plug x=0 into y=\frac{3}{4}x+2, we get:

y=\frac{3}{4}*0+2=2

Hence first point is (0,2)

Similarly plug any random number for x say x=4, we get:

y=\frac{3}{4}*4+2=5

Hence first point is (4,5).

Now we just need to graph both points and join them by a dotted line. because we have < not <=.

Next part is to test for shading.

Which can be done using any test point which is not on the given line. Say (0,0)

plug x=0,y=0 into y.

0

0

0<2

which is true, hence shading will be in direction of test point (0,0).

Hence final answer will be the choice which looks like the graph attached below;


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Can someone please help me with this? I'll give brainliest :)
vlabodo [156]

The slope of y = 3x - 4 on the interval [2, 5] is 3 and the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10

<h3>How to determine the slope?</h3>

The interval is given as:

x = 2 to x = 5

The slope is calculated as:

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

<u>16. y = 3x - 4</u>

Substitute 2 and 5 for x

y = 3*2 - 4 = 2

y = 3*5 - 4 = 11

So, we have:

m = \frac{11  - 2}{5 - 2}

m = \frac{9}{3}

Divide

m = 3

Hence, the slope of y = 3x - 4 on the interval [2, 5] is 3

<u>17. y = 2x^2-4x - 2</u>

Substitute 2 and 5 for x

y = 2 * 2^2 - 4 * 2 - 2 = -2

y = 2 * 5^2 - 4 * 5 - 2 = 28

So, we have:

m = \frac{28  + 2}{5 - 2}

m = \frac{30}{3}

Divide

m = 10

Hence, the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10

Read more about slopes at:

brainly.com/question/3605446

#SPJ1

3 0
2 years ago
Find the next four terms of the sequence 5, 4, 9, 13, 22
Ganezh [65]

Hello,

It is the Fibonacci 's suit.

u_1=5\\u_2=4\\u_3=u_1+u_2=5+4=9\\u_4=u_2+u_3=4+9=13\\u_5=u_3+u_4=9+13=22\\u_6=13+22=35\\u_7=22+35=57\\u_8=35+57=92\\u_9=57+92=149\\\\\\\boxed{u_{n+2}=u_{n}+u_{n+1}}\\

8 0
3 years ago
NEED HELP ASAP!!!!!!!!!!!
zhenek [66]

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ sin(x)=\frac{BC}{AB}

∴ sin(x)=\frac{12}{13}

∴ x=sin^{-1}(\frac{12}{13})

∵ cos(x)=\frac{AC}{AB}

∴ cos(x)=\frac{5}{13}

∴ x=cos^{-1}(\frac{5}{13})

∵ tan(x)=\frac{BC}{AC}

∴ tan(x)=\frac{12}{5}

∴ x=tan^{-1}(\frac{12}{5})

The equation  x=tan^{-1}(\frac{12}{5}) can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
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Pls help will give brainliest and 5 star
jeka94

Answer:

The answers are as follows:

5. c

6. b

7. not sure, sorry

8. b

Step-by-step explanation:


8 0
3 years ago
How can finding the slopes of MN and AB help in proving that MN is the midsegment of triangle ABC?
Mademuasel [1]
Mid-segment and bottom side of the triangle is always parallel to each other, and parallel lines must have same slopes, so if their slopes are equal, then MN would be mid-segment of side AB in Triangle ABC

Hope this helps!
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