What is the equation of the line that passes through the point ( 2 , − 3 ) (2,−3) and has a slope of 2

Answer:

y=2x-13

Step-by-step explanation:

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

m=(-7-(-1))/(3-6)

m=(-7+1)/-3

m=-6/-3

m=2

y-y1=m(x-x1)

y-(-1)=2(x-6)

y+1=2(x-6)

y=2x-12-1

y=2x-13

ur question is incompleteness

The value of the investment at the end of 3 years would be [tex]\£7,524.6[/tex].

Used the formula of the total amount that is,

[tex]A = P (1 + r)^n[/tex]

Where A = Total amount.

P = Principal amount

r = Interest rate (in decimal form)

n = Number of years

Given that,

Chloe invests £6500 for 3 years at 5% per annum compound interest.

Here the given values are,

P = £6500

n = 3 years

r = 5% = 0.05

Substitute all the values in the above formula,

The value of the investment at the end of 3 years is,

[tex]A = P (1 + r)^n[/tex]

[tex]A = \£6500 (1 + 0.05)^3[/tex]

[tex]A = \£6500 \times (1.05)^3[/tex]

[tex]A = \£6500 \times 1.05 \times 1.05 \times 1.05[/tex]

Therefore, the investment at the end of 3 years is,

[tex]A = \£7,524.6[/tex]

To learn more about the Principal amount visit:

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Step-by-step explanation:

Since the axis of symmetry is the x axis, we have a sideways parabola,

[tex] {y}^{2} = x[/tex]

Since the vertex is at the orgin, our answer will be

[tex]a(y - k) {}^{2} + h = 0[/tex]

[tex]a {y}^{2} = x[/tex]

It passes through (3,2).

[tex]a(2) {}^{2} = 3[/tex]

[tex]a(4) = 3[/tex]

[tex]a = \frac{3}{4} [/tex]

So our function is

[tex] \frac{3}{4} {y}^{2} = x[/tex]

Answer:

[tex]x=\dfrac34y^2[/tex]

Step-by-step explanation:

A graph with x-axis symmetry means that for every (x, y) point there is also a (x, -y) point on the graph, i.e. the x-axis acts like a mirror.  Therefore, it is a sideways parabola.

The general form of this type of equation is [tex]x=ay^2+by+c[/tex]

Since we know that the curve has a vertex of (0, 0) then [tex]c=0[/tex]

Therefore, [tex]x=ay^2+by[/tex]

Given that (3, 2) is on the curve, then (3, -2) is also on the curve.

Substituting the given point (3, 2):

[tex]3=a(2)^2+b(2)[/tex]

[tex]3=4a+2b[/tex]

Substituting the given point (3, -2)

[tex]3=a(-2)^2+b(-2)[/tex]

[tex]3=4a-2b[/tex]

Adding the equations together to eliminate [tex]b[/tex]:

[tex]\implies 6=8a[/tex]

[tex]\implies 3=4a[/tex]

[tex]\implies a=\dfrac34[/tex]

Therefore,

[tex]x=\dfrac34y^2+by[/tex]

Again, substituting point (3, 2) means that b = 0

Therefore, the final equation is:

[tex]x=\dfrac34y^2[/tex]

Answer:

The fundamental counting principle is the primary rule for calculating the number of possible outcomes. If there are p possibilities for one event and q possibilities for a second event, then the number of possibilities for both events is p x q.

The value of x in the triangle are opposite side .

Answer:

1. Yes. 98 2. 50. Friend is wrong

Step-by-step explanation:

1.  4 grades for a total of 352 points

For 5 grades to have an A NEED 450 POINTS

450-352=98

2. Need 450 points to make an A

100 on 4 tests= 400 points

450-400= 50

Answer:

[tex]d = 29r + 10[/tex]

Solving steps:

To check :--

=> d = 29r + 10

according to the table lets insert 3 to check if it's correct

=> d = 29r + 10

=> d = 29(3) + 10

=> d = 87 + 10

=> d = 97

so therefore it gave us the correct answer according to the table the cost in dollar where 97 and since it gives us 97 it's correct

Step-by-step explanation:

Total ratio=20

Zack's ratio=9

Zack's percentage on money received=9/20×100

=45%

Answer:

Step-by-step explanation:

Ratio = 9 : 11

Total share = 9 + 11 = 20

Zack's share = 9/20

[tex]Percentage \ of \ Zack's \ money = \dfrac{9}{20}*100[/tex]

                                               = 9 * 5

                                              = 45%

Answer:

1, 3, 4 5/1.2 8 maybe?

Step-by-step explanation:

Answer: set up the relation as a table or ordered pairs

Step-by-step explanation: the domain has to be matched with exactly one element in the range.

Answer:

x=3

Step-by-step explanation:

[tex]2(5x - 3) = 24\\\\10x-6=24\\\\10x=24+6\\\\10x=30\\\\x=30/10\\\\x=3[/tex]

Answer:

open the bracket by multiplying everything in the bracket by2

then you get

2×5x-2×-3=24

10x-6=24

10x=24+6

10x=30

x=3

Answer:

The median is 5.

Step-by-step explanation:

Each dot represents one recorded value. Therefore, we can observe our data set to be [3, 3, 3, 4, 4, 5, 6, 8, 9, 10, 10].

There are 11 terms, so simply find the "middle" term. The term 5 has five values on either side of it; it is in the "middle".

Therefore, 5 is your median!

I hope this helped! :)

Answer:

Median is 5

Step-by-step explanation:

Each dot represents one recorded value. Therefore, we can observe our data set to be [3, 3, 3, 4, 4, 5, 6, 8, 9, 10, 10].

There are 11 terms, so simply find the "middle" term. The term 5 has five values on either side of it; it is in the "middle".

Answer: On my graph it says -5

Step-by-step explanation:

45+63+(4x-12)= 180°

96+4x = 180°

4x=84

x = 21

Step-by-step explanation:

your teacher wrote most of the solution in this picture.

all we need to do is simplify and transform the equation

28/4 = 21/N

7 = 21/N

7N = 21

N = 21/7 = 3

formally, the ratio of corresponding (side) lengths is the same for all corresponding sides or other lines (like heights) in similar shapes.

so, the rate 28/4 = 7/1 = 7 asked also to 21 and N.

28/7 = 4

and

21/7 = N = 3

Answer:

[tex]\huge\boxed{\boxed{N=3}}[/tex]

Step-by-step explanation:

Hello.

We have the proportion

[tex]\displaystyle\frac{28}{4} =\frac{21}{N}[/tex]

In order to solve a proportion, we should cross-multiply:

28×N=4×21

28N=84

Divide both sides by 28.

N=3

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:The width was 20 cm and was brought down to 5 cm, you can see that the pictures width was shrunk down 4 times because 20 divide by 4 is 5 so to find the length you would divide 30 by 4 and get 7.5 cm as your answer.

Step-by-step explanation: so rember what ever grade you are in do first 20 x 30 = 600 and 20 + 30 = 50

Answer:

y=x+w/5

Step-by-step explanation:

x=5y-w

step 1: bring the additional letters/numbers next to the "5y" over to the left

x+w= 5y

step 2: divide the numbers and letters on both sides of the "=" by 5 to only get the letter y

x+w/5= y

step 3: swap them over

y= x+w/5

(we can't get an answer from x+w/5 because the terms are unlike, therefore we keep it as a fraction

Answer:

11

expression: 6(2)-1

Step-by-step explanation:

6*2=12

12-1=11

Step-by-step explanation:

if there were 10 tables at the company's luncheon and the company ordered 25 pizzas then each table should have 2.5 pizzas or 2 whole number

1/2 pizza or 5/2 pizza .

Answer:

25%

Step-by-step explanation:

Given the following question:

0.25 = 25__

To find the answer simply convert the decimal into a percent by multiplying the decimal by a hundred.

0.25 = 25_
[tex]0.25 \times100=25[/tex]
[tex]=25[/tex]

0.25 is equal to "25%."

Hope this helps.

Answer:

100

Step-by-step explanation:

25/100=.25

Hope this helps you! (:

Step-by-step explanation:

x and y trade places.

y = 2x² - 4

y + 4 = 2x²

x² = (y + 4)/2

x = ±sqrt((y + 4)/2)

and for the usual notation we rename x to y and vice versa

y = ±sqrt((x + 4)/2)

and this is not a function, because there are now 2 result values for every input value.

Answer:

V=12\pi hV=12πh

Step-by-step explanation:

there is a linear relationship between height and volume and you can know if you graph it

Answer:

answer 135 red

if 5 blue + 3 red = 1 gallon then

5b x 45 = 225

3r x 45 = 135

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

First month = 4264 phone calls

Second month = 25% more phone calls than the first month

⇒ second month = 4264 × 1.25 = 5330

Third month = 6396 phone calls

[tex]\mathsf{percentage \ change=\dfrac{|final \ value - initial \ value|}{initial \ value}\times 100\%}[/tex]

[tex]\implies \mathsf{percentage \ change=\dfrac{6396 - 5330}{5330}\times 100\%}[/tex]

[tex]\implies \mathsf{percentage \ change=\dfrac{1}{5}\times 100\%}[/tex]

[tex]\implies \mathsf{percentage \ change=20\%}[/tex]

Answer:

21.2, 25.2, and 12.6 meters

Step-by-step explanation:

If this was a rectangle, the perimeter would be 3.6 + 3.6 + 7 + 7 = 21.2 m. The area of this figure would be 3.6 × 7 = 25.2 m. If this was a triangle, then the area of the figure would be 12.6 m.

Given -

A parallelogram with sides G, H, I and J in which GH = IJ and GJ = HI.

To prove -

J, H, G ≅ H, J, I

Proof -

In ∆ JHG and ∆ HJI,

GH = IJ (S)

GJ = HI (S)

JH = JH (common) (S)

J, H, G ≅ H, J, I (SSS congruency rule)

C. SSS

Answer:

The roots of the given equation are x = 0 and x = -8.

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Quadratic Equations

Step-by-step explanation:

Step 1: Define

Identify.

y = x² + 8x

Step 2: Find Roots

∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.

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Topic: Algebra I