Richard spent $30 at a store. He spent $14 on a book and bought some CD's at $4 each. How
many CD's did Richard buy at the store? Write an equation to represent the problem, then
solve.

As per the quadratic equation, the given equation can be modified into    (x - 2)² = 1. The value of x is 3, 1.

A quadratic equation is an equation where the variable has the highest degree of 2. A quadratic equation might have more than one variable. However, the highest degree of any variable must be 2.

Given equation: x² - 4x + 3 = 0

⇒ x² - 4x + 3 + 1 = 1          (By adding 1 on either side)

⇒ x² - 4x + 4 = 1

⇒ x² - 2 × x × 2 + 2² = 1

⇒ (x - 2)² = 1

⇒ x - 2 = ±1

⇒ x = 3, 1

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9514 1404 393

Answer:

  they are in the same place on the number line

Step-by-step explanation:

-(-a/b) = a/b, so will be plotted on the number line in exactly the same place as a/b.

Answer:

y = [tex]\frac{3}{2}[/tex] x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] , thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, 4) into the partial equation

4 = 12 + c ⇒ c = 4 - 12 = - 8

y = [tex]\frac{3}{2}[/tex] x - 8 ← equation of line

The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

Given:

a point on a line: (8, 4)

slope of the line: 3/2

The equation of the line can be written in either point-slope form or slope-intercept form.

First, let's write the equation in point-slope form since we know one of the points and the slope.

Where,

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] =>> point-slope form.

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex]

[tex]y - 4 = \frac{3}{2}x - 12[/tex]

[tex]y - 4 + 4 = \frac{3}{2}x - 12 + 4\\\\y = \frac{3}{2}x - 8[/tex](slope-intercept form)

Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

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Answer:

$22.75

Step-by-step explanation:

if you multiply $32.50 * 30% you get $9.75

32.50-9.75=$22.75

Answer:

$22.75

Step-by-step explanation:

Convert percent to decimal:

30%=30/100=0.3

Percent formula:

a(1-r)

a(1−r)

32.5(1-0.3)

32.5(1−0.3)

32.5(0.7)

32.5(0.7)

22.75

22.75

Price after discount:

$22.75

Answer: the scale factor is 3/4

Step-by-step explanation:

Answer:

whats the rest of the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.57

=157/100 answer

Answer: 1.728330724e+25 thats what it said when I calcuated it.

Answer: -9

Step-by-step explanation:

You count down the distance from T to K

Answer:

-9

Step-by-step explanation:

you are counting from t to k but its going to the left of the number line to its negative.

Answer:

I belive it would be HL because its defenitly not SSS

Step-by-step explanation:

HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Answer:

$4 each

Step-by-step explanation:

Answer:

each ticket cos $4

Step-by-step explanation:

because is you multiply 4 × 6 is 16

and 22-16=6

Answer:

3rd choice 0.57

Step-by-step explanation:

when rounding to the tenth place we look at the hundreds place and when it greater than or at 5 we round up and when it's less than 5 we round down.

1) explanation:0.7 when rounding to the tenth place. since the 8 was greater than 5 we round-up and get 0.70.

2)explanation: 0.5 when rounded to the tenth place the hundreds place which is 2 is less the 5 so we round down and get 0.50.

3)explanation: 0.6 when rounded its hundreds place is greater than 5 so we round up and get 0.60.

4)explanation: 0.7 when rounding to the tenth place. since the 9 was greater than 5 we round-up and get 0.70.

hopes this help you

Answer:

11,600

Step-by-step explanation:

calculated

Answer: 400 x 29=  11,600

Answer:

One CD would've been 120.67

Someone correct me if I'm wring please

Answer:

I got x= 1/5 and y= -67/25 (sorry if it is wrong)

Answer:

x= 1/5

y= −67/25

Step-by-step explanation:

If you need help with these sorts of problems, go to math papa.

Insert a question... for example, this question you would type in

"2x+5y=-13;3x-5y=14"

This helps a bunch with a variety of math questions. I also recommend using mathaway!

Answer:

m = -3 and m = 3

Step-by-step explanation:

[tex] {m}^{2} - 9 = 0 \\ \\ {m}^{2} - {3}^{2} = 0 \\ \\ (m + 3)(m - 3) = 0 \\ \\ m + 3 = 0 \: \: or \: \: m - 3 = 0 \\ \\ m = - 3 \: \: or \: \: m = 3 \\ \\ m = - 3, \: \: 3[/tex]

Answer:

b is correct

Step-by-step explanation:

Answer:

[-4,5]

Step-by-step explanation:

you look on the starting point and the ending point of the y-axis ( you always start with the smallest value)

Answer

Law of Sines

Step-by-step explanation:

If you have all three side lengths, you can use law of sines.

side length a/sin of angle a=side length b/sin of angle b=side length c/sin of angle c

not sure if that makes sense but look up the law of sines!

Answer:

A

Step-by-step explanation:

Answer:7/12

Step-by-step explanation:fruit = 1/12 ice cream= 4/12 pizza=3/12 other must equal the remaining 4/12 btw and pizza plus ice cream is 4/12+3/12 = 7/12

Answer:

10 degrees

Step-by-step explanation:

7 - (-3) = 7+3 = 10 degrees

Answer:

n=7.5°

Step-by-step explanation:

As the two lines are parallel do the equation is

(10n+19)+(12n-4)=180

10n+19+12n-4=180

22n+15=180

22n=180-15

22n=165

n=165/22

n=15/2

n=7.5

n=7.5°

Answer: it’s 11.5

Step-by-step explanation: I got it right

Step-by-step explanation:

Let the integers be a, b and c. To model the expression generally;

[tex]\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}[/tex]

Using the model to solve the following expression given

a)  [tex]\dfrac{1}{4} \div 2[/tex]

[tex]= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}[/tex]

b)

[tex]= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}[/tex]

Answer:

You might need to be more specific, it could be 4 puppies to 5 dogs, or 4 apples to 5 oranges or 4 cups of flour to 5 cups of flour.

Step-by-step explanation:

The value of 4:5 is 4 for every 5 like 4 cups of sugar for every 5 cups of flour

The simplified form of ratio 4:5 is 0.8. The ratio is given in the form of p/q.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that the ratio is 4:5.

To convert mixed numbers into improper fractions, when A is the numerator or B is the denominator,

If either A or B is a decimal number, multiply both of their values by the same factor of 10, which will remove all decimal places.

If one value is a whole number and the other is a fraction, you should try to reduce the fraction to a whole number or convert the whole number to a fraction by giving it a denominator of 1.

= 4 / 5

We have to apply the division operation in which we have to divide the number 4 by 5 in order to obtain the improper fraction values as,

=0.8

Thus, the simplified form of ratio 4:5 is 0.8. The ratio is given in the form of p/q.

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Answer:

[tex](9,-1)[/tex]

Step-by-step explanation:

Follow the same guidelines from the other answer. Hope this helps!!

Answer:

Step-by-step explanation: