1. Which of the following is the standard form of y = (x – 3)(x – 7)?
a. y = (x + 5)2 – 21
b. y = (x - 5)² - 4
c. y = (x + 5)2 - 4
d. y = (x – 5)2 + 28
A
B

Answer:

3 cups

Step-by-step explanation:

Answer: Ratio 4:9 is also 49 . This ratio is in reduced form (no whole can be divided into both evenly).

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 9/4= 9/4 ÷ 2=?

2. 9/4 ÷2= 1.125

3. 1.125= 9/8 = 9:8

Answer:

You need to change 7 and 12 in your division equation.

Like this

[tex]12\sqrt{7}[/tex]

Then once you do this then you should get an answer of .5833

Answer:

[tex] y = \frac{1}{2}x + \frac{1}{4} [/tex]

Step-by-step explanation:

Equation in slope-intercept form is given as [tex] y = mx + b [/tex]

An equation parallel to [tex] y = \frac{1}{2}x + \frac{5}{2} [/tex] would have the same slope as the equation.

The slope (m) of the line would be ½.

m = ½.

Given that this same line runs through or contains (³/2, 1), we cam find the value of b (y-intercept) by substituting m = ½, x = ³/2, and y = 1 in [tex] y = mx + b [/tex].

Thus:

[tex] 1 = (\frac{1}{2})(\frac{3}{2}) + b [/tex]

[tex] 1 = \frac{3}{4} + b [/tex]

Subtract both sides by ¾

[tex] 1 - \frac{3}{4} = b [/tex]

[tex] \frac{1}{4} = b [/tex]

To derive the equation, substitute m = ½, and b = ¼ in [tex] y = mx + b [/tex].

✔️The equation is:

[tex] y = \frac{1}{2}x + \frac{1}{4} [/tex]

Answer:

Yes the answer is 5sqrt(2)

Step-by-step explanation:

Since area is 25 we know side of square is 5. Thus the diagonal is 5sqrt(2)

-16/99

I believe this is correct, please mark brainliest! Have an amazing day and stay safe!

Answer:

14/5 or

2.8 or

2 4/5

Step-by-step explanation:

Math

Answer:

2.8 or 14/5

keep change change

2×7=14

5×1=5

Step-by-step explanation:

Answer:

1.  3x5/6= 15/6 or 2 1/2

2. 7/8x11/3= 77/24 (Not listed)

3. 3x1/9= 3/9 or 1/3

4. 3/10x10/21= 1/7

Step-by-step explanation:

You have to multiply the numbers like simple multiplication and then try to simplify as much as possible in the process.

Hope this helps:)!!

Note: You probabily forgot to mention the two function. While after some research, I was able to find two functions based on which I would like to solve your query.

Answer:

The y-intercept of the equation will be (0, 4).

Step-by-step explanation:

Considering the assuming functions f(x) and g(x).

[tex]f(x) = -3x - 5[/tex]

[tex]g(x) = f(x)+9[/tex]

So,

[tex]g(x) = (-3x-5)+9[/tex]     ∵ [tex]g(x) = f(x)+9[/tex]

[tex]g(x) = -3x+4[/tex]  

Now, finding the y-intercept

so putting x = 0 in function g(x)

[tex]g(x) = -3(0)+4[/tex]

[tex]g(x) = 0+4[/tex]

[tex]g(x) = 4[/tex]

Therefore, the y-intercept of the equation will be (0, 4).

Answer:

B

Step-by-step explanation:

Answer:

30 ft

Step-by-step explanation:

you use 35x sin(60) because 35 is the hypotenuse and the angle is 60 degrees

Answer:

BC, DB, CD

Step-by-step explanation:

The side opposite the largest angle must be the largest side and the side opposite the smallest angle must be the shortest. 96 degrees is opposite CD and 30 degrees is opposite BC.

There are a lot of questions here. I'll do problems 7 and 8 to get you started.

====================================================

Problem 7

The given equations are

y = x^2 + 5x - 2

y = 3x - 2

Since both right hand sides are equal to y, we can equate them, get everything to one side, and solve

x^2 + 5x - 2 = 3x - 2

x^2 + 5x - 2 - 3x + 2 = 0

x^2 + 2x = 0

x(x + 2) = 0

x = 0 or x + 2 = 0 ........ zero product property

x = 0 or x = -2

Now plug each x value back into one of the original equations given

If x = 0, then

y = 3x-2

y = 3*0-2

y = -2

Making (0,-2) as one solution. Repeat for the x value x = -2

y = 3x-2

y = 3(-2)-2

y = -8

The point (-2, -8) is the other solution to the system.

-------------------------------

Answer: There are two solutions and they are (0, -2) and (-2, -8)

====================================================

Problem 8

y = -x^2 - 3x + 2

y = x + 6

We'll use the same idea as before

y = -x^2 - 3x + 2

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

x + 6 + x^2 + 3x - 2 = 0

x^2 + 4x + 4 = 0

Now factor the left side to solve for x

(x+2)(x+2) = 0

(x+2)^2 = 0

x+2 = 0

x = -2

Use this x value to find y

y = x+6

y = -2+6

y = 4

Or we can cay

y = -x^2 - 3x + 2

y = -(-2)^2 - 3(-2) + 2

y = 4

We get the same y value either way.

-------------------------------

Answer: There is one solution and it is (-2, 4)

Answer:

at we both use canvas let's gooo

Step-by-step explanation:

we are the best bro keep up the good content btw

Answer:

No

Step-by-step explanation:

There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.

Answer:

it's [tex]\\\frac{4}{13} +\frac{7}{13}i[/tex]

Step-by-step explanation:

Answer:

BMI is 24.9

Step-by-step explanation:

In order to calculate the student's BMI we first need to convert her weight into kilograms and her height into meters. We know that there are 39.37 inches in a meter and every foot has 12 inches. Therefore, since the student is 5ft 4 inches, this means she is 64inches tall. Now we can divide this by 39.37 to find her height in meters

64 / 39.37 = 1.6256 meters

Now we need to calculate her weight in kilograms. Since there are 2.20462 pounds in 1 kilogram, we simply divide her weight by 2.20462.

145 / 2.20462 = 65.7709 kilograms

Now we use the BMI formula to solve for the students BMI

BMI = [tex]\frac{mass}{height^{2} }[/tex]

BMI = [tex]\frac{65.7709}{1.6256^{2} }[/tex]

BMI = [tex]\frac{65.7709}{2.6425}[/tex]

BMI = 24.88

Therefore we can see that the students BMI is 24.9

Answer:

23 decries up wards then move it down twice :)

Step-by-step explanation:

Answer:

23 decries up wards then move it down twice

Step-by-step explanation:

Give the person before me brainliest they got it first :)

Answer: See explanation

Step-by-step explanation:

You didn't give the expressions but here are some expressions

a. ✓4x²y^4. 1. 2x✓y

b. ✓8x²y. 2. 2y✓2x

c. ✓4x²y. 3. 2xy²

d. ✓16xy². 4. 2x✓2y

e. ✓8xy². 5. 4y✓x

a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4

= 2 × x × y²

= 2xy²

Therefore, ✓4x²y^4 = 2xy²

b. ✓8x²y = ✓8 × ✓x² × ✓y

= ✓4 × ✓2 × ✓x² × ✓y

= 2 × ✓2 × x × ✓y

= 2x✓2y

Therefore, ✓8x²y = 2x✓2y

c. ✓4x²y = ✓4 × ✓x² × ✓y

= 2 × x × ✓y

= 2x✓y

Therefore, ✓4x²y = 2x✓y

d. ✓16xy² = ✓16 × ✓x × ✓y²

= 4 × ✓x × y

= 4y✓x

Therefore, ✓16xy² = 4y✓x

e. ✓8xy² = ✓8 × ✓x × ✓y²

= ✓4 × ✓2 × ✓x × ✓y²

= 2 × ✓2 × ✓x × y

= 2y✓2x

Therefore, ✓8xy² = 2y✓2x

Answer:

Step-by-step explanation:

Answer:

The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]

Option A is correct option.

Step-by-step explanation:

Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)

The function rule is of form: [tex]\mathbf{y=mx+b}[/tex]

where m is slope and b is y-intercept

Finding slope:

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=0, y_1=0, x_2=5, y_2=-13[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-13-0}{5-0}\\Slope=\frac{-13}{5}\\Slope=-\frac{13}{5}[/tex]

Finding y-intercept

We will use point(0,0) to find y-intercept

[tex]y=mx+b\\0=-\frac{13}{5}(0)+b\\0=0+b\\b=0[/tex]

So, y-intercept is 0

The Function rule for line having slope m=-13/5 and y-intercept b=0:

[tex]y=mx+b\\y=-\frac{13}{5}x+0\\y=-\frac{13}{5}x[/tex]

So, The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]

Option A is correct option.

Answer:

$330

Step-by-step explanation:

[tex]\frac{24}{198} =\frac{40}{x}[/tex]

Cross multiply:

24x= 198(40)

to get x=330

Answer:

The smaller number is 5.

The bigger number is 15.

Step-by-step explanation:

Let the smaller number be x and the bigger number be x+10.

x+x+10 = 4x

2x+10 = 4x

10 = 4x-2x

2x = 10

x = 10÷2

  = 5

x+10 = 5+10

       = 15

The answer fam is.......... H= q/2 + m/2

Answer:

La probabilidad de que el estudiante entre, es 0.7

Entonces la probabilidad de que el estudiante no entre, es 1 - 0.7 = 0.3.

Ahora, si de 5 estudiantes, 3 entran y 2 no, entonces la probabilidad para un dado arreglo es: 0.7 tres veces, y 0.3 dos veces.

Y la probabilidad conjunta es igual al producto de las probabilidades individuales.

P = (0.7^3)(0.3^2)

Pero esto es para un arreglo, tenemos que tener en cuenta las permutaciones.

Sabemos que para M elementos, el numero de diferentes arreglos de N elementos (tal que N ≤ M) es:

[tex]C(M, N) = \frac{M!}{(M - N)!*N!}[/tex]

En este caso, tenemos que M = 5 y N = 3, entonces tenemos:

[tex]C(5, 3) = \frac{5!}{2!*3!} = 5*4/2 = 10[/tex]

Entonces la probabilidad va a ser:

P = 10* (0.7^3)(0.3^2) = 0.3087

Answer:

1/2+1/8=5/8

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(1/2, 1/8) = 8

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(1/2×4/4)+(1/8×1/1)=?

Complete the multiplication and the equation becomes

4/8+1/8=?

The two fractions now have like denominators so you can add the numerators.

Then:

4+1/8=5/8

This fraction cannot be reduced.

Therefore:

1/2+1/8=5/8

Hope this helps!!

Answer:

1/2+1/8=5/8

Step-by-step explanation:

yes

Answer:

-1 and 0                              

-2/3 lies between numbers -1 and 0

Answer:

D

Step-by-step explanation:

Have a great da༼ つ ◕_◕ ༽つy!

Answer:

6

Step-by-step explanation:

Answer:

A.  [tex]f(n) =0.2n+4.8[/tex]

B. The y intercept is 4.8

Step-by-step explanation:

Given

[tex]a_n= 5 + 0.2(n-1)[/tex]

Solving (a): Write as a function.

To do this, we simply substitute f(n) for [tex]a_n[/tex]

[tex]a_n= 5 + 0.2(n-1)[/tex] becomes

[tex]f(n)= 5 + 0.2(n-1)[/tex]

Open Bracket

[tex]f(n) = 5 + 0.2n-0.2[/tex]

Collect Like Terms

[tex]f(n) =0.2n-0.2 + 5[/tex]

[tex]f(n) =0.2n+4.8[/tex]

B. The y intercept.

To get the y intercept, we set n to 0

i.e

[tex]f(0) =0.2 * 0+4.8[/tex]

[tex]f(0) =0+4.8[/tex]

[tex]f(0) =4.8[/tex]

Hence, the y intercept is 4.8