1. Find an equation of the line in point-slope form passing through point (-2,5) and parallel to the
line whose equation is 4x - 2y = -5

Answer:

6.   A    5c + 3e + 2

7.   A    w = P/2 - 125

8.   D   point S

Step-by-step explanation:

6.

3 triangles + 5 hexagons + 2 squares =

= 3e + 5c + 2(1)

= 5c + 3e + 2

7.

perimeter = P

length = 250 m

width = w

P = 2L + 2W

P = 2(250) + 2w

2w = P - 500

w = (1/2)(P - 500)

w = (P - 500)/2

w = P/2 - 250

Incorrect expression: w =  P/2 - 125

8.

X = 5

Y = -25

X - Y = 5 - (-25) = 5 + 25 = 30

S = 30

Answer:

y = (√x/2) ± 2

Step-by-step explanation:

Here, we want to get the inverse of the given function

y = 2x^2 - 8

make x the subject of the formula

y + 8 = 2x^2

Divide through by 2

y/2 + 4 = x^2

x = √y/2 ± 2

Now switch place for x and y

y = (√x/2) ± 2

Answer:

d

Step-by-step explanation:

the answer for the question is 14*10raise the power -6

the first option would be the answer

Answer:

2 yrs

Step-by-step explanation:

SI =PTR/100

738=8200 x T x 4.5 /100

738 x 100 / 8200 x 4.5 = T

T =2

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

[tex]\rm\implies -\dfrac{1}{2}n^2+18=0 [/tex]

Subtracting 18 both sides ,

[tex]\rm\implies -\dfrac{1}{2}n^2 = -18 [/tex]

Multiplying both sides by -2 ,

[tex]\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18 [/tex]

On simplyfing , we get ,

[tex]\rm\implies n^2= 36 [/tex]

Putting squareroot both sides ,

[tex]\rm\implies n= \sqrt{36} [/tex]

This equals to ,

[tex]\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }} [/tex]

Hence the value of n is ±6 .

Answer: f(t) = 1.5t + 5

Answer:

hey mate i don't think your question is complete anyways here is what i found and i hope it is useful .

Step-by-step explanation:

(if the below is the diagram then this might help.)

In the given triangle ABC shown in the figure ∠ABC = ∠ACB

Since angles are equal so opposite sides of equal angles will be equal.

Now mAB = mAC

By putting values in terms of x

2x = 3x - 7

x = 7

Now mAC = 3x - 7

By putting value of x = 7

mAC = 3×7 - 7 = 21 - 7 = 14

Therefore length of line segment AC is 14 units.

I hope this helps !!!!!!!!!!!!!!!!!!!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

There are no solutions to the equation.

»»————-　★　————-««  

Here’s why:    

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x':}}\\\\3x-7=3x-2\\-----------\\\rightarrow 3x - 7 + 7 = 3x - 2 + 7\\\\\rightarrow 3x = 3x + 5\\\\\rightarrow 3x - 3x = 3x - 3x + 5\\\\\rightarrow \boxed{0 = 5}\\\\-----------\\\text{The answer boxed is a \textbf{contradiction. }}\text{Therefore, there is no solution.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

it has no solution

Answer:

(-infinity, -1/2] and [3, infinity]  Let e know if anything didn't make sense.  

Step-by-step explanation:

A good way to think about it is a graph is either at 0, greater than 0 or less than 0.  If you can find all of the zeroes  then you can test each zero by checking points before and after.  the graph will either cross and change signs, or stay the same.

So we want to find the zeroes.

Much like the factored form of a quadratic (x - a)(x - b) this inequality has two expressions  being multiplied together, so if you can find when they are 0 you will have all the zeros.  We shoudl also check when they do not exist just to be safe.

(x^2 - 3x) itself is a quadratic.  so lets find its zeroes.

x^2 - 3x

x(x - 3)

So the zeroes are 0 and 3.  lets find the zeroes of the other expression before checking signs.

sqrt(2x^2-3x-2) will be at 0 when the quadratic inside is at 0, and will not exist if the quadrati is negative, so let's look for both.  first the 0s.  I am going to complete the square

2x^2 - 3x - 2 = 0

2(x^2 - (3/2)x - 1) = 0

2[(x - 3/4)^2 - 25/16] = 0

2(x - 3/4)^2 - 25/8 = 0

2(x - 3/4)^2 = 25/8

(x - 3/4)^2 = 25/16

x - 3/4 = +/- 5/4

x = +/-5/4 + 3/4

x = -2/4 or 8/4

x = -1/2 or 2

Let me know if you couldn't follow that.  Anyway, using those zeroes we can tell 2x^2 - 3x - 2 is negative  between the two zeroes, since it is a parabola that opens upwards and crosses the x axis at those zeroes.  this means sqrt(2x^2 - 3x - 2) does not exist from x=-1/2 and x=2.  This means for the other zero above at x=0, the iequality will not exist.  So now we have 3 points to look at.

-1/2 for its first 0 and where it then stops existing up to 2, which is also a 0.  Finally 3 is the last 0.

at x=-1/2 all values before it are positive

x=2 has values immediately after it negative

x=3 then it switches so all values after that are positive since it is the last 0

Now we know that (x^2 - 3x) * sqrt(2x^2 - 3x - 2)is positive or equal to 0 along the intervals, (-infinity, -1/2] and [3, infinity]

Given:

The given statement is: [tex]a[/tex] increased by [tex]b\%[/tex].

To find:

The algebraic expression for the given statement.

Solution:

We know that "+" sign is used when a value increased.

It is given that [tex]a[/tex] increased by [tex]b\%[/tex]. So, it can be written as:

[tex]a[/tex] increased by [tex]b\%[/tex][tex]=a+b\%\text{ of }a[/tex]

                                                             [tex]=a+\dfrac{b}{100}\times a[/tex]

                                                             [tex]=a+\dfrac{ab}{100}[/tex]

Therefore, the required algebraic expression is [tex]a+\dfrac{ab}{100}[/tex].

4x+20

OPTION A is the correct answer.

Answer:

=2x-3 / x=5

=2(5)-3

=10-3

=7

Answer:

1/334

Step-by-step explanation:

There are 31 days in May, subtract that from 365 days and you get 334, and there is an equal chance that she is born in any one of those 334 days, thus 1/334.

Answer:

The measure of angle B is 29°.

Answer:

q.4 's answer is d. miles

q.5 's answer is 3

q.6 's answer is 6

can you tell what the dot means i can tell you the other two's too

Answer:

6/100 = x/40

Step-by-step explanation:

6% is represented by 6/100, x is the variable in the proportion, and 40 is the whole you are finding the percentage of

Answer:

y = -x -2

Step-by-step explanation:

-1 is the slope

-2 is the y-intercept

slope = [tex]\frac{-4-1}{2-(-3)}[/tex] = [tex]\frac{-5}{5}[/tex] = [tex]\frac{-1}{1}[/tex] = -1

Answer:

13 degrees

Step-by-step explanation:

Let x be the degree measure of the angle's complement

Then we have the other angle is x + 64

Because the 2 angles complement each other so the sum of the 2 angles is 90

So we have the equation: 2x + 64 = 90

<=> 2x = 26

<=> x = 13

Answer:

10w^3+20w^9

Step-by-step explanation:

5w^2(2w+4w^7)

distribute

5w^2 * 2w + 5w^2 (4w^7)

10w^3+20w^9

Answer:

10w^3+20w^9

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

From the graph,

x1 = 0

x2 = 4

y1 = 0

y2 = 14

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 14 - 0 ) / ( 4 - 0 )

= 14 / 4

= 7 / 2

= 3.5

Answer:

7/2

Step-by-step explanation:

the slope of a line is the ratio of y/x.

it describes how many units y changes, when x changes a defined number of units.

an increase is indicated by "+", and a decrease by "-".

the point with full integer/natural numbers as coordinates is (4, 14).

that means that when coming from point 0 (0, 0) x increases by 4 units, and y increases by 14 units.

so, the slope of line is 14/4 = 7/2

Answer:  Choice C.  mean > median

================================================

Explanation:

Multiply each measure with their corresponding frequency.

Add up those products: 8+30+28 = 66

Then divide by the total frequency n = 1+3+2 = 6 to get 66/6 = 11 as the mean.

mean = 11

----------------

Since we have n = 6 values in this list, this means the median is between slot n/2 = 6/2 = 3 and slot 4.

Note how that places us in the middle row because 1+3 = 4 encapsulates both of those slots mentioned. So the median is 10.

Or you could list out the values in roster notation {8, 10, 10, 10, 14, 14} to see that {10,10} occupy the middle most slots. So the median is (10+10)/2 = 20/2 = 10.

median = 10

-----------------

The mode is simply the most frequent value. The table shows that mode = 10 since it occurs 3 times, compared to 8 showing up 1 time and 14 showing up twice.

-----------------

We have the following summary

With that in mind, let's go through the answer choices.

Answer:

C. $21 (as well as B)

Step-by-step explanation:

→ $4.20 × $ 5.00 = ?

→ 4.20 × 5.00

→ 4.2 × 5.0

→ 21 {final answer}

Hence, option (C) is answer.

Answer:

-5 <x<-1

Step-by-step explanation:

4|x+3|<8

Divide by 4

4|x+3| /4<8/4

|x+3|<2

There are two solutions one positive and one negative, remember to flip the inequality for the negative

x+3 <2    and x+3 >-2

Subtract 3 from each side

x+3-3 <2-3   and x+3-3 >-2-3

x<-1   and x>-5

-5 <x<-1

Answer:

23

Step-by-step explanation:

The answer is 23 by the definition of angle bisector.

Answer:

x [tex]\geq[/tex] 4

Step-by-step explanation:

-4(8-3x)[tex]\geq[/tex]6x-8 multiply inside the parenthesis with -4

12x - 32 [tex]\geq[/tex] 6x - 8 export like terms to the same side of the inequality

12x - 6x [tex]\geq[/tex] 32 - 8

6x [tex]\geq[/tex] 24 divide both sides by 6

x [tex]\geq[/tex] 4

What is the solution to -4(8 - 3x) ≥ 6x - 8 ?

Assume this ≥ sign as = sign

By simplifying the left hand side we get

Transposing them to the other side

Hence, the correct answer is the third option i.e. x ≥ 4

Answer:

Step-by-step explanation:

each side of workshop = x

area of workshop = x²

each side of garage = 4x

area of garage = (4x)² = 16x²

total area = x² + 16x² = 17x²

17x² = 612

x² = 36

x = √36 = 6 ft

each side of workshop = 6ft

each side of garage = 24ft

Answer:

Josh's ERA had a z-score of -3.26.

Alice's ERA had a z-score of -1.11.

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Josh:

ERA of 2.89, mean of 5.083, standard deviation of 0.672. So

[tex]X = 2.89, \mu = 5.083, \sigma = 0.672[/tex], and the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.89 - 5.083}{0.672}[/tex]

[tex]Z =  -3.26[/tex]

Josh's ERA had a z-score of -3.26.

Alice:

ERA of 3.31, mean of 4.032, standard deviation of 0.649. So

[tex]X = 3.31, \mu = 4.032, \sigma = 0.649[/tex], and the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3.31 - 4.032}{0.649}[/tex]

[tex]Z =  -1.11[/tex]

Alice's ERA had a z-score of -1.11.

Which player had the better year relative to their​ peers, josh or alice ?

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.