Answer this and explain please

f(x) = x^2 - 13x + 30

Step-by-step explanation:

A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).

f(x) = (x-3)(x-10)  

f(x) = x^2 - 13x + 30

Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).  

First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."  

 5x+4y=2

-5x     -5x  (subtract 5x from both sides to move it to the right side of your equation)

4y = 2 - 5x

/4  /4  /4 (divide all the terms by 4 to get "y" by itself)

y = (1/2) - (5/4)x  ... I suggest leaving your slope as a fraction.

Now, we know that our slope, m , is going to be -(5/4).  

Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:

y = 5

m = -(5/4)

x = 7

y=mx+b

5=(-5/4)(7) + b  -> I plugged in what we knew for y, m, and x.  

5 = -(35/4) + b  -> I multiplied the numbers in the numerator (5 x 7) to get 35/4

20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)

+(35/4) +(35/4)  -> I add (35/4) to both sides to isolate b

55/4 = b ... or b = 13.74

Answer:  

m = -(5/4)

b = 13.75

The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]

The line passes through the points (5, -1) and (7, -5)

That is [tex]x_1=5, y_1=-1, x_2=7, y_2=-5[/tex]

Calculate the slope(m) using the formula below:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-(-1)}{7-5} \\\\m=\frac{-4}{2}\\\\m=-2[/tex]

The equation of the new line perpendicular to the line above will be given as:

[tex]y-y_1=\frac{-1}{m} (x-x_1)\\\\y-(-1)=\frac{-1}{-2} (x-5)\\\\y+1=\frac{1}{2}(x-5)\\\\y=\frac{1}{2} x-\frac{5}{2} -1\\\\y=\frac{1}{2} x-\frac{7}{2}[/tex]

The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]

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Answer:

The answer is "yes. they're similar CDEF ~ QRST, scale factor; 4/3

Step-by-step explanation:

If you multiply 3 by 4/3. The answer will be 12/3 or 4.

If you multiply 6 by 4/3. The answer will be 24/3 or 8.

Answer: A number is a minimum of 6

Step-by-step explanation:

The < and > mean greater or less than. I learned these with this trick when I was little imagine they were mouths or maybe Pac-Man or something, the mouth would ways point to the bigger number. So here it means n is bigger than 6. When there is a line under the < or > it means it can also be equal to the number. SO this means n is equal to or bigger than 6 meaning the number of n is a minimum of 6.

The time it takes for a rocket  to hit the ground is 3 seconds

Step-by-step explanation:

We are given equation for height as

where

x is the time in seconds

When object hits the ground

then height becomes 0

so, we can set h(x)=0

and then we can solve for x

Subtract both sides by 18

So,

the time it takes for a rocket  to hit the ground is 3 seconds

Answer:

15/2= 7 1/2 =7.5

Step by step

Step 1 of 2: Add.

Add

5 and 2 over 165

2

16

+ 2 and 3 over 82

3

8

= 120 over 16

120

16

Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

5 and 2 over 165

2

16

= ( 5 × 16 ) over 16

5 × 16

16

+ 2 over 16

2

16

= ( 80 + 2 ) over 16

80 + 2

16

= 82 over 16

82

16

Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 3 over 82

3

8

= ( 2 × 8 ) over 8

2 × 8

8

+ 3 over 8

3

8

= ( 16 + 3 ) over 8

16 + 3

8

= 19 over 8

19

8

Step 1 of 2: Add, sub-step c: Find common denominator.

Find common denominator

82 over 16

82

16

+ 19 over 8

19

8

= ( 82 × 1 ) over ( 16 × 1 )

82 × 1

16 × 1

+ ( 19 × 2 ) over ( 8 × 2 )

19 × 2

8 × 2

= 82 over 16

82

16

+ 38 over 16

38

16

16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Add, sub-step d: Add.

Add

82 over 16

82

16

+ 38 over 16

38

16

= ( 82 + 38 ) over 16

82 + 38

16

= 120 over 16

120

16

Step 1 of 2: Add.Hide

Step 2 of 2: Simplify.

Simplify

120 over 16

120

16

= 15 over 2

15

2

= 7 and 1 over 27

1

2

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

120 over 16

120

16

= ( 120 ÷ 8 ) over ( 16 ÷ 8 )

120 ÷ 8

16 ÷ 8

= 15 over 2

15

2

8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

15 over 2

15

2

= 7 and 1 over 27

1

2

15 ÷ 2 = 7 remainder 1

Answer:

1-a

2-e

3-d

4- c  

5- b

Step-by-step explanation:

Answer:

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

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

check

90 + 30 + 60 = 180°

the answer is good

Answer:

Step 2 you should subtract 5 (aka D)

Step-by-step explanation:

Simple, its 2+ step equations.

Step 1 Look at the problem

Step 2 Subtract the second normal number by the rest (5- -12 and 19)

Step 3 answer

Answer:

71/50

Step-by-step explanation:

Answer:

45+20=t   t=65

Step-by-step explanation:

t is my assigned letter

Hope this helps

Answer:

87

Step-by-step explanation:

earning rate (R) = $5/hr

total (T) = $287

time (t) = 40 hr

tips = T - Rt

= $287 - $5*40

$87

Answer:

Women's magazines

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

→ Expand the brackets

5x + 2x - 8 = 5x + x - 10

→ Collect the x terms

7x - 8 = 6x - 10

→ Minus 6x from both sides

x - 8 = -10

→ Add -8 to both sides

x = -2

Answer:

4w+10=-w

w=-2

Step-by-step explanation:

First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.

Answer:

e

Step-by-step explanation:

Answer:

17.08

Step-by-step explanation:

Basically, this is half of 34.16, which is 17.08.

Hoped this helped.

Answer:

427/25

Step-by-step explanation:

Change to percentage: 3416/100

Simplify: 854/25

854/25 dived by 2/1 (same thing as 2)

KEEP, CHANGE, FLIP

854/25 x 1/2= 427/25

Answer:

[tex]\frac{4}{6}+\frac{3}{5}[/tex]

Step-by-step explanation:

1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]

[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]

[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]

Answer:

As no graph is provided you can only solve it.Steps provided below

Yes you have done it

Answer:

10.50

Step-by-step explanation:

Answer:

she will pay $10.50 in sales tax and $160.50 in total

Step-by-step explanation:

first, find 7% of 150.

150*.07=10.5

add 10.5 to the total

Answer:

1/6

0.95833333333

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

1/6 (1/4) + 17/24 = 1/24 + 17/24

=3/4

Using the principle of confidence interval, the range which shows the confidence interval of the study is (149.61 ; 150.39)

The confidence interval is defined thus :

Lower boundary = 150 - 0.39 = 149.61

Upper boundary = 150 + 0.39 = 150.39

Therefore, the confidence interval for the study would be (149.61 ; 150.39)

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Answer:

C

Step-by-step explanation:

HCF of 4 and 36 is 4

Divide the numerator and denominator by 4

[tex]\dfrac{4}{36}=\dfrac{4*1}{4*9}=\dfrac{1}{9}[/tex]

Problem 1

x = number of weeks

y = amount left on gift card (in dollars)

He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100

The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.

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

Problem 2

The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.

We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier

y = -4.99x + 100

y = -4.99*4 + 100

y = -19.96 + 100

y = 80.04

After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.

The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.

Answer:

The correct answer will be option D.

Step-by-step explanation:

They both have a pretty fair chance of winning.

Answer:

315,000

Step-by-step explanation:

(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000

500,000-185,000=315,000

Answer:

y = 1/2

Step-by-step explanation:

x = -5y+2

x=3y-2

substitute for x ans solve

3y-2=-5y+2

8y-2=2

8y = 4

y= 4/8

y=1/2

Answer:

b=-5/16

Step-by-step explanation: