Question 3 of 20 Which point lies on the graph of the function shown below? v=x^2 + 3x - 2 O A. (1,1) O B. (2,6) O C. (-1,-4) O D. (0,2)​

Answer/Step-by-step explanation:

Since ∆PHS ≅ ∆CNF, therefore:

<P ≅ <C,

<H ≅ <N

<S ≅ <F

Thus:

Since, <P ≅ <C, therefore,

36° = (4z - 32)°

36 = 4z - 32

Add 32 to both sides

36 + 32 = 4z

68 = 4z

Divide both sides by 4

68/4 = z

17 = z

z = 17

Since <H ≅ <N, therefore:

6x - 29 = 115°

Add 29 to both sides

6x = 115 + 29

6x = 144

Divide both sides by 6

x = 114/6

x = 24

m<F + m<C + m<N = 180° (sum of ∆)

(3y - 1) + (4z - 32) + 115 = 180 (substitution)

Plug in the value of z and solve for y

3y - 1 + 4(17) - 32 + 115 = 180

3y - 1 + 68 - 32 + 115 = 180

3y + 150 = 180

Subtract 150 from both sides

3y = 180 - 150

3y = 30

y = 10

The value of x, y and z are 24, 10 and 17 respectively.

PHS≅CNF

Therefore,

∠P ≅ ∠C

∠H ≅ ∠N

∠S ≅ ∠F

36 = 4z - 32

36 + 32 = 4z

4z = 68

z = 68 / 4

z = 17

6x - 29 = 115

6x = 115 + 29

x = 144 / 6

x = 24

3y - 1 = 180 - 115 - (4z - 32)

3y - 1 = 180 - 115 - 4z + 32

3y - 1 = 97 - 4(17)

3y - 1 = 29

3y = 30

y = 30 / 3

y = 10

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Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

(8x + 2) + 70 + 60 = 180

Step 2: Solve for x

Answer:

When the  sample size is  [tex]n_1 = 5[/tex] ,

   [tex]P( X < 11) = 0.9875[/tex]

When the  sample size is  [tex]n_2 = 6[/tex] ,

   [tex]P( X < 11) = 0.993[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 9 \ min[/tex]  

   The standard deviation is [tex]\sigma = 2 \ min[/tex]

    The first sample size is  [tex]n_1 = 5[/tex]

    The second sample size is  [tex]n_2 = 6[/tex]

Generally the standard error of the mean is mathematically represented as

     [tex]\sigma_{x} = \frac{\sigma}{ \sqrt{n} }[/tex]

=>   [tex]\sigma_{x} = \frac{2}{ \sqrt{5} }[/tex]  

When the  sample size is  [tex]n_1 = 5[/tex] ,

Generally the standard error of the mean is mathematically represented as

     [tex]\sigma_{x} = \frac{\sigma}{ \sqrt{n} }[/tex]

=>   [tex]\sigma_{x} = \frac{2}{ \sqrt{5} }[/tex]  

=>   [tex]\sigma_{x} = 0.894[/tex]  

Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as

      [tex]P( X < 11) = P( \frac{X - \mu }{\sigma } < \frac{11 - 9 }{0.8944 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

      [tex]P( X < 11) = P( Z < 2.24 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  2.24 is

      [tex]P( Z < 2.24 ) = 0.9875[/tex]

=>   [tex]P( X < 11) = 0.9875[/tex]

When the  sample size is  [tex]n_2 = 6[/tex] ,

Generally the standard error of the mean is mathematically represented as

     [tex]\sigma_{x} = \frac{\sigma}{ \sqrt{n} }[/tex]

=>   [tex]\sigma_{x} = \frac{2}{ \sqrt{6} }[/tex]  

=>   [tex]\sigma_{x} = 0.816[/tex]  

Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as

      [tex]P( X < 11) = P( \frac{X - \mu }{\sigma } < \frac{11 - 9 }{0.816 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

      [tex]P( X < 11) = P( Z < 2.45 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  2.24 is

      [tex]P( Z < 2.45 ) = 0.993[/tex]

=>   [tex]P( X < 11) = 0.993[/tex]

Answer:

the answer is d

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The answer is B I think.

Step-by-step explanation:

Answer:

100 1/4

Step-by-step explanation:

Answer:

Figure (c)

Step-by-step explanation:

a). Angles in the figure attached are the linear pair of angles.

    Since, sum of the linear pair of angles is 180°.

    2x + 38 = 180°

b). Angles given in this figure are the vertically opposite angles.

   Since, vertically opposite angles are equal in measure.

   2x = 38°

c). There are three angles given the picture.

   Since these angles are formed at a point of a line, sum of angles will be 180°.

   90° + 38° + 2x = 180°

   2x + 38 = 180 - 90

   2x + 38 = 90°

Therefore, figure (c) shows the equation.  

Answer:

c

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

8 times 4 = 32

Answer: the answer is 32

Step-by-step explanation:

He made 8 key chains each week for 4 weeks 8*4 is 32 because if you make 8 key chains for 4 weeks it will add up to 32 hope this helps

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Work Shown:

Solve the given equation for y

2y = 3x - 10

y = (3x-10)/2 ..... divide both sides by 2

y = (3x)/2 - 10/2

y = (3/2)x - 5

The equation is in y = mx+b form with m = 3/2 as the slope.

The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.

Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1

(3/2)*(-2/3) = -1

This is true for any pair of perpendicular lines, assuming neither line is vertical.

Answer:

y=5x+8.50

Step-by-step explanation:

Answer:

1,061.64

Step-by-step explanation:

Im sorry if this is wrong

Answer:

HOPE THIS HELPS!!!

Step-by-step explanation:

To find the product,

✔ multiply

the numerators and

✔ multiply

the denominators.

The product is

✔ 2/15

Divide:  2

5

 ÷  3

5

To divide, multiply by the

✔ reciprocal

.

The quotient is

✔ 2/3

.

Answer:

Izzdebizz was right i am at teacher

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

F(x)=g(x)

3(x + 1) - 5x=12 - (6x - 7)

3x+3-5x=12-6x+7

-2x+3=19-6x

-2x+6x=19-3 (collecting like terms)

4x=16 (divide both side by 4 (

X=4

its 5=54                                            that is what i thsiknss

Replace x in the equation for f(x) with -5:

|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1

Now find x 1 and see where the graph of G(x) crosses the Y :

It crosses ay Y = 5

The answer is A. 5

Answer:

The correct answer is A. 5.

Step-by-step explanation:

I got it right on the Edmentum test.

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2 (x+4)+(x+1)=6 (2x)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+(x+1)=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+x+1=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x+x+8+1=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+9=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 12x=3x+9 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 12x-3x=9 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 9x=9 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {9}{9}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]

Answer:

The kraken has 125 suction cups on each tentacle.

Step-by-step explanation:

We know that the kraken has 8 tentacles, and a total of 1000 suction cups.

We can find the answer by dividing 1000 by 8 to find the unit rate of suction cups per tentacle.

Answer:

The solutions to the quadratic equation using the quadratic formula will be:

[tex]x=\frac{1}{2},\:x=\frac{1}{4}[/tex]

Step-by-step explanation:

Given the equation

[tex]8x^2-6x+1=0[/tex]

solving with the quadratic formula

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:}\quad a=8,\:b=-6,\:c=1[/tex]

[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}}{2\cdot \:8}[/tex]

as

[tex]\sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}=2[/tex]

so

[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:2}{2\cdot \:8}[/tex]

Separating the solution

[tex]x_1=\frac{-\left(-6\right)+2}{2\cdot \:8},\:x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}[/tex]

solving

[tex]x_1=\frac{-\left(-6\right)+2}{2\cdot \:\:8}[/tex]

    [tex]=\frac{6+2}{2\cdot \:8}[/tex]

   [tex]=\frac{8}{16}[/tex]

   [tex]=\frac{1}{2}[/tex]

and

[tex]x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}[/tex]

   [tex]=\frac{6-2}{2\cdot \:\:\:8}[/tex]

    [tex]=\frac{4}{16}[/tex]

    [tex]=\frac{1}{4}[/tex]

Therefore, the solutions to the quadratic equation using the quadratic formula will be:

[tex]x=\frac{1}{2},\:x=\frac{1}{4}[/tex]

Answer:

1/4 1/2

Step-by-step explanation:

divide 980 in. by 5 minutes to figure out how many inches an ant moves in a minute. that ends up to be 196 in/minute. from there, multiply 196 in. by seven, leaving the sum as 1372. hope this helps, please mark brainliest and have an amazing day

Answer:

This answer is only an estimate but I think the ant could travel 1372 inches in 7 minutes.

Step-by-step explanation:

The problem states that the ant could travel 980 inches every 5 minutes so, if you divide 980 by 5 you should get 196. So this means that every minute the ant could travel 196 inches, and the question is, how far can the ant travel in 7 minutes? So to get the answer you should only need to multiply 196 to 7 then you should get 1372. Hope this helps and if you could mark this as brainliest. Thanks

Answer:

75ft

Step-by-step explanation:

Hello There! With the information given in the problem we can set up a ratio in order to help us solve for the actual length that the model is scaled upon.

This ratio can be written as:

[tex]\frac{1ft}{15ft}[/tex]

From this we just set up another ratio in relation to the original. In this one we will be solving for x.

[tex]\frac{1ft}{15ft}[/tex]  x  [tex]\frac{5ft}{x}[/tex]

After solving for x we find that the actual model should be roughly 75ft.

Hope this helps!

-HM

Answer:

C) 175.84 cubic feet

Step-by-step explanation:

V=πr^2h is the formula I used

I plugged in the numbers and solved

The volume of the tree with a radius of 2 feet and a length of 14 feet is

176 feet³.

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The tree is in the form of a cylinder.

Radius = 2 feet

Height = 14 feet

Now,

The volume of the tree.

= πr²h

= 22/7 x 2 x 2 x 14

= 22 x 2 x 2 x 2

= 22 x 8

= 176 feet³

Thus,

The volume of the tree is 176 feet³.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ2

Answer:

1/9, 1/8, 1/7,1/5

Step-by-step explanation:

The fraction between 1/6 and 1/4 are 17/100, 19/100,1/5, and 21/100.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.

Given the fraction

1/6 = 0.16

1/4 = 0.25

Now all values in between of it will be the answer.

So,

0.17 = 17/100

0.19 = 19/100

0.20 = 20/100 = 1/5

0.21 = 21/100

Hence "The fraction between 1/6 and 1/4 are 17/100, 19/100,1/5, and 21/100".

For more about numerators and denominators,

brainly.com/question/19613319

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Answer:

what? there is nothing here... did you mean to attach a picture?

Step-by-step explanation:

Answer:

251.24$

Step-by-step explanation:

In order to find the answer to this question you just need to add the total cost together.

What we do know:

[tex]B=56.24[/tex]

[tex]NM=195[/tex]

[tex]56.24+195=251.24[/tex]

[tex]=251.24[/tex]

Hope this helps.

Answer:3800

Step-by-step explanation:

sorry if i got it wrong :/

Answer:

1.2 mph

Step-by-step explanation:

PLEASE MARK BRAINIEST

Answer:

Hope it helps, please give brainlest!

Step-by-step explanation:

Answer:

8 students for every teacher

Step-by-step explanation:

112 divided by 14 is 8

Answer:

8 students per teacher

Step-by-step explanation:

[tex]\frac{112}{14\\}[/tex]=[tex]\frac{8}{1}[/tex] You get this by dividing both numbers by 14.

Answer:

wheres the addition or subtraction etc. in between the 2x and 3y

Step-by-step explanation:

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