A credit card is like a loan.

Select the three statements that explain why.

The vertex form which is equivalent to the provided quadratic function of variable x is (x-1)²+3.

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) is the vertex point.

The function given in the problem is,

[tex]f(x) = 4+x^2 - 2x\\f(x) = x^2 - 2x+4[/tex]

Add and subtract (-1)² in the above function,

[tex]f(x) = x^2 - 2x+4+(-1)^2-(-1)^2\\f(x) = x^2 - 2x+(-1)^2+4-1[/tex]

Use the formula of whole square,

[tex]f(x)=(x-1)^2+3[/tex]

This is the required vertex form.

Hence, the vertex form which is equivalent to the provided quadratic function is (x-1)²+3.

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Answer:

We can divide an algebraic term by another algebraic term to get the quotient. The steps below show how the division is carried out.

We can multiply two algebraic terms to get a product, which is also an algebraic term.

Step-by-step explanation:

Answer:

arc AM = 114°

Step-by-step explanation:

the measure of a tangent- chord angle is half the measure of its intercepted arc, that is

∠ MAC = [tex]\frac{1}{2}[/tex] (AM )

57° = [tex]\frac{1}{2}[/tex] AM ( multiply both sides by 2 to clear the fraction )

114° = AM

Answer:

A = 28 sq cm

Step-by-step explanation:

Area of a triangle:

A = 1/2• base•height

= 1/2•7•8

= 28 sq cm

Answer:

80%

Step-by-step explanation:

I use cross multiplication for this

4/5 = ?/100

so you would do (4*100)/5 to get the percent which would then be 80%

Answer:

12/30 or 6/15

Step-by-step explanation:

3x4=12

5x6=30

12/30

simplified would be 12/30 divided by 2/2

the answer is 6/15

Answer:

3x4=12 and 5x6=30

Step-by-step explanation:

This is because 5x5x5x5x5x5 6 times equal 30 and 3x3x3x3 4 times equals 12. Thank u for your time.

Answer:

117.5

Step-by-step explanation:

hope this helps! have a great day

Answer:

Hypotenuse = 45 inches

Step-by-step explanation:

Let the hypotenuse be known as "C".

Definition of hypotenuse:

The hypotenuse is the longest side in a right triangle.

Since the word "hypotenuse" is stated in the question, we can assume that the triangle is a right triangle and therefore, Pythogoras theorem can be used to determine the measure of the hypotenuse.

Pythogoras theorem

[Where "x" is the hypotenuse, "y" and "z" are the legs of the right triangle].

We are given that:

When the meausures are substituted in the formula, we get;

Evaluate the squares on the right hand side:

Simplify the expression on the right hand side:

Take square root both sides of the equation:

Therefore, the measure of the hypotenuse is 45 inches.

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Answer:

5x^2 + 11x - 13 = A - B

Step-by-step explanation:

A - B = ?  Substitute 3x^2 + 5x - 6 for A and - (-2x^2 - 6x + 7) for -B:

3x^2 + 5x - 6 - (-2x^2 - 6x + 7). or

3x^2 + 5x - 6 + 2x^2 + 6x - 7, or (after combining like terms):

5x^2 + 11x - 13 = A - B

The per capita growth rate is 5% and the new population size after one year will be 210 individuals

An equation is an expression that shows the relationship between two or more variables and numbers.

The per capita growth rate is given as:

per capita growth rate = change in population / initial population = (20 - 10)/200 = 0.05 = 5%

In one year, population = 200 + (0.05 * 200) = 210

The per capita growth rate is 5% and the new population size after one year will be 210 individuals

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Using sampling concepts, it is found that the correct option is given by:

B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the objective is to make an estimate about the most popular brand of golf ball from men all over the United States, however, only customers from California were chosen, hence the sample is not representative and option B is correct.

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Answer:b

Step-by-step explanation:The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.

Answer:

[tex]4^3 =64\\\\(-3)^4 = 81[/tex]

Step-by-step explanation:

[tex]4^3 = 4\times 4 \times 4 = 64\\\\(-3)^4 = (-1)^4\cdot 3^4 = 81[/tex]

Answer: 296

Step-by-step explanation: explicit rule formula for an arithmetic sequence:

a_n = a_1 +(n-1)(d)

20-14= 6

d= 6

a_1 = 8

a_n = 8 + (n-1)(6)

= 8+6n-6

a_n= 6n+2

substitute to find answer:

a_49= 6(49) +2

= 294+2

=296

Answer:

the answer is b

Step-by-step explanation:

9/10 minus 3/5 is 0.3. 0.3 as a fraction is 3/10

Answer: the answer is b which is 3 over 10

Step-by-step explanation: as a decimal it us 0.3 which is the same as 3 over 10 . Hope it is correct . Please give brainliest .Thanks .

Answer:

149 Degrees

Step-by-step explanation:

The angle 31 is marked for you on the figure, there is also a secondary angle marked on the other line parallel to the first. Since they are marked the same, the value of both must be 31 degrees, you can also prove this in a longer method by calculating the exact angle measures of each line. Now we simply simplify our basic equation.

180-31=x

149=x

Answer:

C. -3 is less than -5

Step-by-step explanation:

Answer:

the answer should be d

Step-by-step explanation:

you just have to multiply the per pound amount (1.29) by by the pound amount (5) and then you get your answer $6.45!

i hope this helps :)

Answer:

the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Step-by-step explanation:

Answer:

9:49 is the answer because question say ratio is square of small and big

Answer:

$2.05

6.15 divided by 3 is 2.05. To check, you multiply 2.05 x 3.

Answer:

60°

Step-by-step explanation:

The given 60° angle and angle 2 are alternate interior angles of parallel lines p and q with transversal s, so they are congruent.

m<2 = 60°

Answer:

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

What is the Alternate Interior Angles Theorem?

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

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Step-by-step explanation:

Answer:

[tex]r = 5.32\ feet[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

Formula to get the area of a circle → [tex]A=\pi r^2[/tex]

Insert 89 into the A and solve for r

[tex]\frac{89}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]28.3296 = r^2[/tex]

[tex]\sqrt{28.3295} = \sqrt{r^2}[/tex]

[tex]r = 5.32[/tex]

Answer: [tex]r = 5.32\ feet[/tex]

Answer:

[tex]y=\dfrac{3}{2}x+6[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:

 [tex]y=mx+b[/tex]

where:

Given equation:

 [tex]3x-2y=-12[/tex]

To write the given equation in slope-intercept form, apply arithmetic operations to isolate the variable y.

Add 2y to both sides:

[tex]\implies 3x-2y+2y=-12+2y[/tex]

[tex]\implies 3x=2y-12[/tex]

Add 12 to both sides:

[tex]\implies 3x+12=2y-12+12[/tex]

[tex]\implies 3x+12=2y[/tex]

Switch sides:

[tex]\implies 2y=3x+12[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{3x+12}{2}[/tex]

[tex]\implies \dfrac{2y}{2}=\dfrac{3x}{2}+\dfrac{12}{2}[/tex]

[tex]\implies y=\dfrac{3}{2}x+6[/tex]

Therefore, the slope-intercept form of the given equation is:

[tex]y=\dfrac{3}{2}x+6[/tex]

where 3/2 is the slope, and 6 is the y-intercept

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Slope intercept form y=mx+b

Let's find

Done!

area of semi circle= (1/2).π.r²

(1/2)×3.14×14×14

307.72 cm²

Answer:

D

Step-by-step explanation:

The formula for a sphere is 4(π/3) * r ^ 3. If we plug in r we get 17^3 * 4/3 * π

Answer:

you got incorrect before Imao hm whats the question?

Step-by-step explanation:

Hey there!

Solve the equation:

x = 1 ✅

x + 2 = 5x - 2

>> Add 2 to both sides

x + 2 + 2 = 5x - 2 + 2

x + 4 = 5x

>> Substract x from each side

x + 4 - x = 5x - x

4 = 4x

4x = 4

>> Divide both sides by 4

4x/4 = 4/4

x = 1

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Have a good day ;)

Given :-

To find :-

solution:-

x + 2 = 5x -2

2+2 = 5x - x

4 = 4x

1 = x