what is the point-slop of a line with slope 3/2 that contains the point (-1,2)?
O A. y 2 = 3/2(x-1)
O B. y+2 = 3/2(x-1)
O C. y-2 = 3/2(x + 1)
O D. y + 2 = 3/2(x + 1)​

Answer:

B. f(x) = 1 - x²

Step-by-step explanation:

Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².

Answer:

B. F(x) = 1 - x^2

Step-by-step explanation:

The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.

F(x) = G(x) - 3

F(x) = 4 - x^2 - 3

F(x) = 1 - x^2

Answer:

See below.

Step-by-step explanation:

[tex](5x^2y^3)^0\div(-2x^{-3}y^5)^{-2}[/tex]

First, note that everything to the zeroth power is 1. Thus:

[tex]=1\div(-2x^{-3}y^5)^{-2}=\frac{1}{(-2x^{-3}y^5)^{-2}}[/tex]

Distribute using Power of a Power property:

[tex]=\frac{1}{(-2)^{-2}(x^{-3})^{-2}(y^5)^{-2})}[/tex]

Make the exponents positive by putting them to the numerator:

[tex]=\frac{(-2)^2(x^{-3})^2(y^5)^2}{1}[/tex]

[tex]=\frac{4x^{-6}y^{10}}{1}[/tex]

Make the exponent positive by this time putting it to the denominator:

[tex]=\frac{4y^{10}}{x^6}[/tex]

Answer:

[tex]c.\hspace{3}x=12[/tex]

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

[tex]x=2a[/tex]

And we can find a easily using pythagorean theorem:

[tex](\sqrt{45} )^{2} =3^{2} +a^{2}[/tex]

Solving for a:

[tex]a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\[/tex]

[tex]a^{2} =36\\\\a=\sqrt{36} \\\\a=6[/tex]

Therefore:

[tex]x=2a\\\\x=2(6)\\\\x=12[/tex]

Answer:

-6x^3 - x^2 + 2x

Step-by-step explanation:

We can first start with distributing the x using the distributive property

(3x^2 + 2x)(-2x+1) Remember that when x is multiplied with 3x, it increases the exponent to 3x^2)

Now we use FOIL to distribute (First, Outside, Inside, Last)

-6x^3 + 3x^2 - 4x^2 + 2x

We can combine the like terms (3x^2 and - 4x^2) into -x^2

-6x^3 - x^2 + 2x

Answer:

6 bananas

Step-by-step explanation:

Divide the dollars by the price for bananas

15/2.45

6.12244898

Round down because she cannot buy part of a banana

6 bananas

Answer:

Im pretty sure its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

In this scenario, the probability of success, p is 28% = 28/100 = 0.28

Number of samples, n = 160

Probability of failure, q = 1 - p = 1 - 0.28 = 0.72

Mean,µ = np = 0.28 × 160 = 44.8

Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68

Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as

P(x ≥ 50) = 1 - P(x < 50)

For P(x < 50)

z = (50 - 44.8)/5.68 = 0.91

Looking at the normal distribution table, the probability corresponding to the z score is 0.819

Therefore,

P(x ≥ 50) = 1 - 0.819 = 0.181

[tex]\displaystyle\bf\\\textbf{We have a prism with a rectangular triangle base.}\\\\Base~area\!:~~Ab=\frac{3\times4}{2}=\frac{12}{2}=6~km^2\\\\Lateral~area\!:~~Al=(3+4+5)\times9=12\times9=108~km^2\\Total~area\!:~~At=2\times Ab+Al=2\times 6+108=12+108=\boxed{\bf120~km^2}\\[/tex]

Answer:

D. Cost

It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.

Step-by-step explanation:

Please mark brainliest I hope this helps.

Answer:

D the cost

Step-by-step explanation:

cause the costs always go on the y axis

*The box plots are shown in the attachment

Answer/Step-by-step explanation:

Range is the difference between the largest value of a data set and the lowest value in that data set.

In a box plot, the highest value is located at the end of the whisker to our right, while the lowest value is located at the beginning of the whisker of the box plot at our left.

For Crackers, the range = 100-70 = 30

For Cookies, the range = 115-70 = 45

Therefore, we can conclude that the range value of the number of calories in crackers (30) is less/lower than that of cookies (45).

Answer: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

Answer:

None of these

Step-by-step explanation:

The congruent occurs when the two diagrams are matched with each other in terms of the same sides and same angles

In other terms, we can say that if both quadrilaterals contain the same sides and same angles so we called as congruent

As we can see in the figure that there is only angles are given but not the sides that are totally different

Hence, none of these is the right answer

Answer:

D.) Measure of angle X = 140 degrees and Measure of angle = 94 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Probability is expressed as

Number of favorable outcomes/total number of possible outcomes

From the information given,

Total number of outcomes = 16

Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15

This means that the number of favorable outcomes is 5

Therefore, the probability that the card has a multiple of 3 on it is

5/16 = 0.3125

Answer:

22%

Step-by-step explanation:

Well if the ramp can hold 1000lbs and 6 people all weight 780 in total (they must be really fat lol, but anyway) we can make the following fraction.

780/1000

So now we simplify the fraction to 39/50.

And do 39 / 50 = .78

To make that a percent we move the decimal point 2 times to the right so 78% of the ramp‘s capacity is being used meaning there is stil 22% capacity left.

Answer:

The matched pairs are:

(A, 4), (B, 1), (C, 2) and (D, 3)

Step-by-step explanation:

The complete question is:

Match each description of an algebraic expression with the symbolic form of that expression :

A. 2 terms; variables = x and y

B. 3 terms; variables = x and y; constant = 3

C. 2 terms; variable = x; constant = 4.5

D. 3 terms; variables = x and y; constant = 2

1. x - 2y + 3

2. 4.5 - 2x

3. 4.5x + 2 - 3y

4. 4.5y - 2x

Solution:

A. 2 terms; variables = x and y  ⇒ 4. 4.5y - 2x

B. 3 terms; variables = x and y; constant = 3  ⇒ 1. x - 2y + 3

C. 2 terms; variable = x; constant = 4.5  ⇒ 2. 4.5 - 2x

D. 3 terms; variables = x and y; constant = 2 ⇒ 3. 4.5x + 2 - 3y

Answer:

$1340.49

Step-by-step explanation:

From the attached image

Subtotal Cost of Purchased Items

[tex]= (20 \times 16.69)+(2 \times 20.78)+(2 \times 15.58)+(6 \times 21.38)\\+(118 \times 6.60)+(500 \times 0.22)+(10 \times 8.44)+(1 \times 150)\\\\=\$1658[/tex]

Since the builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days.

Discount = 23% of $1658 = 0.23 X 1658 =$381.34

Total (Less Discount) = 1658-381.34 = $1276.66

Tax on building materials is 5%.

Therefore:

Tax = 5% of $1276.66=0.05 X 1276.66

Tax=$63.83

Therefore, the total bill:

=$1276.66+63.83

Grand Total =$1340.49

I would start by setting up a chart like I did below.

Label one column age now and the other age in 5 years.

Since we don't know the son's age we use x.

We do know that the man's age is 4 times the son's age.

So the man's age will be 4x.

In the age in 5 year column, we add 5 to their current ages.

Now set up our equation.

Since it says "in five years" we use information in second column.

In 5 years time, he, "4x + 5", will be, equals,

3 times as old as his son, "3(x + 5)".

So we have 4x + 5 = 3(x + 5).

Solving from here, we find that x = 10.

So the son is 10 and the man is 4 times his age or 40.

Answer:

Step-by-step explanation:

2:3 is the correct answer

I hope this helps you

Answer:

its 4√2i i think

Step-by-step explanation:

Answer:

Answer:B

Step-by-step explanation:

Answer:

The answer would be M = 6.5n because 6.50 per child would be 6.50 * n which can be simplified to 6.50n or 6.5n.

Answer:

correct answer is above :>

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

b. [tex]\frac{5}{8}[/tex]

▹ Step-by-Step Explanation

[tex]\frac{1}{16} + \frac{9}{16} = \frac{10}{16} \\\\= divide each side by 2\\\\\frac{10}{16} = \frac{5}{8}[/tex]

- Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

10/16 but I’m pretty sure your teacher is gonna want for you to reduce to where you answer would actually be 5/8

Step-by-step explanation:

1/16 +9/16 you’ll add the top number which equals up to 10, but since both of your bottom number are the same you lol keep those making your answer 10/16. But most teacher prefer you to reduce so it’ll bring your answer to 5/8 since the only number that can go into both 10 and 16 is 2 which is what you did. In conclusion 5/8 is your answer.

Answer:

none

Step-by-step explanation:

the man is carrying 3 sacks

each has 30 coconuts

so at total he has 90 coconuts:  30*3= 90  

he passe through 30 checkpoints

ha has to give 1 coconut for each sack

so he gives 3 coconuts each time: 3*1=3

there are 30 ckeckpoints so : 3*30= 90

he has spent all the coconuts unless he has a trick

He starts with 3 sacks with 30 in each sack.

He has to give 1 coconut per sack away. So at first he gives 3 coconuts away.

The first 10 checkpoints he gives away 30 coconuts, so he is left with 2 sacks.

Now he has to give 2 coconuts away. 30/2 = 15, so the next 15 checkpoints he ends up giving away another full sack, so he is left with 1 full sack of 30 coconuts and he has 5 checkpoints left.

Giving away 1 coconut at those checkpoints, he would have 25 left

Answer:

Step-by-step explanation:

8•6= 48•5=240 divided by 3= 80

The volume of the rectangular pyramid is 80 cubic centimeter.

Volume is the measure of the capacity that an object holds.

[tex]v = \frac{lwh}{3}[/tex]

Where,

V is the volume of the  rectangular pyramid

l is the base length

w is the base width

h is the Pyramid height

According to the given question

We have

Base length of the rectangular pyramid = 8cm

Base width of the rectangular pyramid = 6cm

And the height of the rectangular pyramid  = 5cm

Therefore,

The volume of the rectangular pyramid is given by

V = [tex]\frac{(8)(6)(5)}{3}[/tex]

⇒ V = 8 × 2 × 5

⇒ V = 30 cubic centimeter

Hence, the volume of the rectangular pyramid is 80 cubic centimeter.

Learn more about the volume of rectangular pyramid here:

https://brainly.com/question/21334693

#SPJ2

Answer:

the answer is 5 if it was helpful please give 5 star

Answer:

The value of c is 2

Step-by-step explanation:

p(x) = cx³ - 15x - 68

Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.

x - 4 = 0

x = 4

Substitute it into the above expression

That's

c(4)³ - 15(4) - 68 = 0

64c - 60 - 68 = 0

64c = 60 + 68

64c = 128

Divide both sides by 64

c = 2

Hope this helps you

Answer:

h

Step-by-step explanation:

b

Answer:

Step-by-step explanation:

=-3.875/7. (divided by 16)

I'll remember some concepts:

[tex]\log_{a}{b} = \log_{a}{c} \implies b=c\\\\\log_{a}{b}+ \log_{a}{c} = \log_{a}{b\cdot c}[/tex]

Question:

[tex]\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)}+\log_{6}({x+3)}\\\\\\\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)\cdot(x+3)}\\\\\\(x^2-5x) = (2x-9)\cdot(x+3)\\\\\\x^2-5x=2x^2+6x-9x-27\\\\\\0 = x^2+2x-27\\\\\\\Delta = 4+108 = 112\\\\\\\\\sqrt{\Delta} = \sqrt{112} = 4\sqrt{7}\\\\\\\\x = \dfrac{-2\pm 4\sqrt{7}}{2}\\\\\\\\x = -1 \pm 2\sqrt{7} \\\\\\\\x_1 = 2\sqrt{7} -1\\\\\\x_2 = -1-2\sqrt{7}[/tex]

The negative solution cant exist since we are talking about logarithms.

Answer: 2.12 seconds

Step-by-step explanation:

From the question, we are informed that Josie ran a lap in 45.23 seconds while Erica ran a lap in 43.11 seconds.

To calculate the extra amount of time it took Josie to complete the lap, we subtract Erica's time from Josie's time. This will be:

= 45.23 seconds - 43.11 seconds

= 2.12 seconds

Answer:

5

Step-by-step explanation:

Using Pythagoras' identity

The horizontal distance between A and B is 3 units

The vertical distance between A and B is 4 units

Thus

AB = [tex]\sqrt{3^3+4^2}[/tex]

      = [tex]\sqrt{9+16}[/tex]

      = [tex]\sqrt{25}[/tex]

      = 5

Answer:

The ratio 1.8 : 2.4 can be rewritten as 3 : 4. We have to solve:

3 : 4 = x : 42

3 * 42 = 4x

x = 3 * 42 / 4 = 31.5

Answer:

5 units in the positive y-axis

Step-by-step explanation:

In order to get triangle D’E’H’, triangle DEH was moved upwards for a number of units which can be obtained by taking a corner of the rectangle and counting the number of square spaces (grids) it was moved upwards by.

Step one: Pick a corner of the triangle.

For this, we can pick corner D and note its position on the graph

Step two: Count the number of squares between point D and D'.

Once we count this, we can see that there are 5 square spaces between D and D'.

Step Three: Repeat the process for the other two corners of the rectangle.

If the square spaces counted  are the same with what was obtained for the first corner, we can comfortably say that the rectangle was translated upwards by a distance of 5 units