From the given graph, use two points to write an equation in point-slope form and then
change to slope-intercept form.
Step 1: Use the two points to find the slope.
Step 2: Use the slope and one point to complete point-slope form.
y-y₁ = m(x-x₁)
Step 3: Change point-slope form into slope intercept form by solving for y. Show your
work!
y=mx+b

Answer:

Let's use the slope-intercept form of the equation of a line describe the slope and the y-intercept:

y = mx + b where m=slope and b=y-intercept

Answer:

y=-2/5x-3

Step-by-step explanation:

the slope is m and the y intercept is b

Answer:

8

Step-by-step explanation:

∡AB + ∡BC + ∡CD = 180°

∡CD = ∡AE

∡AB + ∡BC + ∡AE = 180°

(8x + 6)° + (6x + 2)° + (7x + 4)° = 180°

8x + 6 + 6x + 2 + 7x + 4 = 180

21x + 12 = 180

21x = 180 - 12

21x = 168

x = 8

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Answer: 13 m

Step-by-step explanation:

distance from starting point = root{(5)^2 + (12)^2 }

=root{ 25 + 144}

= 13

Answer:

Step-by-step explanation:

Between south direction and east direction we have right angle, so we can use Pythagorean theorem:

a² + b² = c²

a = 5 m

b = 12 m

c = the distance

[tex]5^2+12^2=c^2\\\\c^2=25+144\\\\c^2=169\\\\c=\sqrt{169}=13\,m[/tex]

Answer:

-0.4

Step-by-step explanation:

to solve use the formula m=y2-y1/x2-x1

Answer:

2.5 years

Step-by-step explanation:

Given data

P=9000

r= 1.25%

A= 9281.25

The simple interest expression is given as

A=P(1+rt)

substitute

9281.25= 9000(1+0.0125*t)

9281.25=9000+112.5t

collect like terms

9281.25-9000=112.5t

281.25= 112.5t

t= 281.25/112.5

t= 2.5

Hence the time is 2.5 years

Answer:

x^2-3x+36

Step-by-step explanation:

Complete question :

Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X represent the sale price (in thousands of dollars) for the selected car.1. Find P(26< X<30) You may round your answer to two decimal places

Answer:

0.48

Step-by-step explanation:

Mean, m = 26000 ; Standard deviation, s = 2000

P(x < x)

Zscore = (x - m) / s

P(26< X<30) ;

P[(26 - 26 / 2) < (30 - 26) / 2)]

P[(0 < Z < 2)]

P(Z < 2) - P(Z <0)

Using a z table of z calculator, we can obtain the probabilties of the Z value :

0.97725 - 0.5

= 0.47725

= 0.48 ( 2 decimal places)

Answer:

The orders of magnitude are numbers of the form:

10^n

where n can be any integer number.

So we can write something like:

"A is n orders of magnitude above B

Now we have the quantities:

Amjed cards = 223

Latif cards = 8741

We want to find how many times more trading cards does Latif  have than Amjed.

Then we need to look at the quotient between the number of cards of Latif and Amjed.

8741/223 = 39.2

Now we need to approximate this to the nearest 10^n number.

(..., 0.1, 1, 10, 100, 1000, ...)

The nearest one to 39.2 is 10.

So we can say that Latif's collection is 10.

and 10 = 10^1

then n = 1

Then we can say that Latif's collection is one order of magnitude above Amjed's collection.

Answer:

6.087

Step-by-step explanation:

0.000

^ones

   ^tenths

      ^hundredths

        ^thousandths

Answer:

depends how u want ur answer... :|

6.087

6 and 870

Hope that helps! :)

Step-by-step explanation:

Answer:

ƒ(g(x)) = 18x - 8

Step-by-step explanation:

We're looking for the composition of f and g, in which function g is the input to function f.  Literally replace "x: in f(x) with g(x) = 6x - 5:

ƒ(g(x)) = 3(6x - 5) + 7, or, after simplification,

ƒ(g(x)) = 18x - 15 + 7, or 18x - 8

Answer:

480 toy boats per hour

Step-by-step explanation:

1. Divide 360 by 45 to find unit rate per MINUTE.

360 / 45 = 8

2. One hour = 60 minutes, so multiply 8 and 60.

8 * 60 = 480

The composite score range for the ACT is D) 1 to 36.

The composite score range for the ACT (American College Testing) is the total score achieved by an individual after taking all four sections of the ACT, which include English, math, reading, and science. The composite score ranges from 1 to 36, with 36 being the highest possible score.

The ACT score is used by colleges and universities in the United States to assess the readiness of a student to enter college. A high composite score indicates that the student has the skills and knowledge needed to succeed in college-level courses. Therefore, the correct answer is D) 1 to 36.

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The domain is the set of input values for which the function is real and defined.

Find non negative values for the radicals.

For y = sqrt(3-x) if x is greater than the 3 the value under the square root would be negative which would result in a non real number.

The answer needs to be x <= 3 ( less than or equal to)

For y = sqrt(3x), if x is less than 0, the number under the sqrt root would be negative resulting in a non real number.

The answer is x >= 0 ( greater than or equal to)

Answer:

Step-by-step explanation:

Where are the equations to choose from?

14 pounds × (1 bag)/(¼ pound) = 56 bags

Answer: 1 have 210   chocolate covered caramels

Step-by-step explanation:

step 1

The  ratio  of chocolate covered caramels to chocolate covered cherries in my vault is 5 to 2 which can also be written as 5:2

But the number of chocolate covered cherries =84

Total ratio is given as 5+2 = 7

Step 2

such that the total number of chocolate i had  would be gotten from

Ratio of chocolate covered cherries/ total ratio x Total chocolates = Number of chocolate covered cherries. Let X = Total number of chocolates

2/7 x X = 84

x= 84 x 7 / 2 =294

Therefore The number of chocolate covered caramels= ratio of chocolate covered caramels/ total ratio x Total chocolates =

5/7 X 294= 210

Step-by-step explanation:

angle 2 = 49

angle 1 = 131

angle 3 = 112

plz mark my answer as brainlist.hope this will be helpful to you ☺️.

Answer:

x < -9 or x > 10.

Step-by-step explanation:

x + 10 > 20

x  > 10.

x + 12 < 3

x < -9.

Answer:

For quadratic equations that cannot be solved by factorising, we use a method which can solve ALL quadratic equations called completing the square. We use this later when studying circles in plane analytic geometry.

Completing the square comes from considering the special formulas that we met in Square of a sum and square of a difference earlier:

(x + y)2 = x2 + 2xy + y2 (Square of a sum)

(x − y)2 = x2 − 2xy + y2 (Square of a difference)

To find the roots of a quadratic equation in the form:

\displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax

2

+bx+c=0,

follow these steps:

(i) If a does not equal \displaystyle{1}1, divide each side by a (so that the coefficient of the x2 is \displaystyle{1}1).

(ii) Rewrite the equation with the constant term on the right side.

(iii) Complete the square by adding the square of one-half of the coefficient of x to both sides.

(iv) Write the left side as a square and simplify the right side.

(v) Equate and solve.

Example 1

Find the roots of x2 + 10x − 4 = 0 using completing the square method.

Answer

Example 2

Solve 4x2 + x = 3 by completing the square.

Answer

Exercises

Solve the following quadratic equations by completing the square

Q1. \displaystyle{2}{s}^{2}+{5}{s}={3}2s

2

+5s=3Answer

Q2. \displaystyle{3}{x}^{2}={3}-{4}{x}3x

2

=3−4xAnswer

Q3. \displaystyle{9}{v}^{2}-{6}{v}-{2}={0}9v

2

−6v−2=0Answer

Q4. \displaystyle{a}{x}^{2}+{b}{x}+{c}={0}ax

2

+bx+c=0Answer

1. Solving Quadratic Equations by Factoring

3. The Quadratic Formula

Answer:248

Step-by-step explanation:

First you need to find the unit rate by dividing 93 by 3 which would be 31 then take that number (which is how many miles for one gallon) and multiply it by 8 which would get you 248( if you need this as an equation here 93\3= 31 31*8 = 248). If they gave you the distance instead you would have had to divide by 31 instead of using multiplication. Hope this helps!

Step-by-step explanation:

A triangle's angles add up to be 180 degrees, so you can create an equation to be 180= 130+5x. (the 5x is 2x + 3x)

subtract 130 from both sides and get 50=5x, divide both sides by 5, x is equal to 10.

I'm not sure which angle is angle a, but if you substitute x with 10, you can find the measure of the angle, so if it's 2x, 2(10)=20 and if 3x, 3(10)=30

Answer:

20 ft

A=wl

l=A/W=240/12=20ft

Answer:

y = -2x + 7 is the equation if that's what you are asking for.

answer:

Linear equation :

y= -2x +7

Step-by-step explanation:

Answer:

36feet

Step-by-step explanation:

Since we are not asked what to find, we can as well find the maximum height reached by the rocket

At max height, velocity is zero

V = dy/dx = 0

dy/dx = -32x + 16

0 = -32x+16

32x = 16

x = 16/32

x = 0.5s

Get the maximum height

y = -16(0.5)^2+16(0.5) + 32

y = -4+8+32

y = 36feet

Hence the max height reached by the rocket is 36feet

Answer:

Step-by-step explanation:

[tex]\sqrt{(6-1)^{2}+(3-5)^{2} }[/tex]=[tex]\sqrt{29}[/tex]

                               =5.39(correct to nearest hundredth)

Answer:

The volume of the cylinder  V =  942 cm³      

Step-by-step explanation:

Step(i):-

Given that the graph

The height of the cylinder (h) = 12cm

The diameter of the cylinder d = 10cm

The radius of the cylinder

                              d = 2r

                             r = [tex]\frac{10}{2}[/tex]

                             r = 5 cm

Step(ii):-

The Volume of the cylinder

     V = π r² h

     V = π (5)²(12)

     V = 300π cubic centimeter

     V = 300 × 3.14

    V = 942 cm³

Final answer:-

Volume of the cylinder  V =  942 cm³

25% is 50% of 50.

Explaination is on the picture.

50% of 100 is 50.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Let x be a number such that

50% of x is 50

This forms an equation in one variable which can be solved by transposition.

[tex]50/100\times x = 50[/tex]

x/2=50

On multiplying 2 both sides,

[tex]X/2\times 2 =50\times 2[/tex]

X=100

Thus, 50% of 100 is 50.

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Correct question:

50% of what is 50.

Answer:

4 lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

100 pounds

Step-by-step explanation: