Find the value of c that makes x^2+20x+c a perfect square trinomial. And then write expression as the square of a binomial.

Answer:

30 gallons

Step-by-step explanation:

Answer:

The Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.

Step-by-step explanation:

First, you have to determine the amount that Jane earned by multiplying the amount she earns per hour for the number of hours she worked:

$7*10=$70

Then, you need to calculate 1.45% of $70:

$70*1.45%=$1.015

According to this, the answer is that the Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.

Answer:

your discount would be 25

Step-by-step explanation:

start, first subtract 45 from 60 to find the amount of money taken off from the discount:

60-45

=15

Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:

15/60=x/100

Now, cross multiply and solve for x:

1500=60x

x=25

Therefore, your discount would be 25%.

Answer:

25% !

Step-by-step explanation:

I looked it up and it makes sense!

Answer:

y=-2x

Step-by-step explanation:

slope is -2 and the y intercept is 0 so if you plug these answers into slope intercept form (y=mx+b) then it comes to y=-2x

Answer:

10 is the correct answer

Step-by-step explanation:

5+5=10

Answer:

use the slope formula to find the slope m

m = - 1/2

Answer:

y=-3x+8

Step-by-step explanation:

if u want them to be parallel make the slope the same

(in this case, -3x)

and the y-int at the end is +8

Answer: 4

Step-by-step explanation:

Given: Total girls = 24

Total boys = 20

If each group must be identical, then the maximum number of groups that can be made = GCD(24,20)   [GCD= Greatest common divisor]

Since 24 = 2 x 2 x 2 x 3

20 = 2 x 2 x 5

GCD(24,20)= 2 x 2 = 4

Hence, the maximum number of groups that can be made = 4

Answer:

y=x+5

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = 8}}}}[/tex]

☪ What is the value of y for the equation given below when x = 2 ?

☪ Step - by - step explanation :

plug the value of x ( i.e 2 )

➳ [tex] \sf{ - 3 \times 2 + 2y = 10}[/tex]

Remember : Multiplying or dividing a negative integer by a positive integer gives a negative integer.

➳ [tex] \sf{ - 6 + 2y = 10}[/tex]

Move 6 to right hand side and change it's sign

➳ [tex] \sf{2y = 10 + 6}[/tex]

Add the numbers : 10 and 6

➳ [tex] \sf{2y = 16}[/tex]

Divide both sides by 2

➳ [tex] \sf{ \frac{2y}{2} = \frac{16}{2}} [/tex]

➳ [tex] \boxed{ \sf{y = 8}}[/tex]

——————————————————

✏ Now, let's check whether the value of y is 8 or not !

✑ Verification :

[tex] \sf{ - 3x + 2y = 10}[/tex]

→ [tex] \sf{ - 3 \times 2 + 2 \times 8 = 10}[/tex]

→ [tex] \sf{ - 6 + 16 = 10}[/tex]

→ [tex] \sf{10 = 10}[/tex]

L.H.S = R.H.S ( Hence , the value of y is 8 . )

——————————————————

☞ Additional Info :

✒ Sign rules of addition and subtraction of integers:

✒ Sign rules of multiplication and division of integers :

✒ Rules for solving an equation :

Hope I helped!

Have a wonderful time ツ

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Answer:

$22

Step-by-step explanation:

Answer:

.75 or 3/4

Step-by-step explanation:

Answer:

The mom is 30 times older than the son and the son is 30 years younger

Step-by-step explanation:

it says so

Answer:

Flip the fraction that you are applying the exponent to, if it's a whole number, just imagine it's over one and flip it that way.

Explanation:

If you have 3/5 ^-3

You would flip the fraction to 5/3, then the exponent turns to positive 3

So 5/3 ^3

For a whole number, for example, 6, ^-2

In other words, it's 6/1 ^2, so you would make it 1/6, then the exponent turns positive.

So 1/6 ^2

Hope this helped :)

To change a negative exponent to a positive one, a flip it into a reciprocal.

Here,

We have to explain, change a negative exponent to a positive one.

What is Reciprocal?

The inverse of a number is called Reciprocal.

Now,

Let a number is,  [tex]5^{-2}[/tex]

Then change it into positive exponent as;

Take reciprocal of [tex]5^{-2}[/tex], we get;

⇒ [tex](\frac{1}{5} )^2[/tex]

Hence,  reciprocal of [tex]5^{-2}[/tex] = [tex](\frac{1}{5} )^2[/tex]

So, To change a negative exponent to a positive one, a flip it into a reciprocal.

Learn more about the reciprocal visit:

https://brainly.com/question/1955429

#SPJ2

Answer:

Step-by-step explanation:

The vertex form of the equation of the parabola with vertex (h, k)  is:

f(x) = a(x - h)² + k

so the equation of parabola with the vertex (4, 7) is

f(x) = a(x - 4)² + 7  

passes through the point (0, 10)  means if x=0 then f(x)=10

10 = a(0 - 4)² + 7  

10 -7 = a(-4)² + 7 -7

3 = 16a

a = ³/₁₆

Therefore the equation of parabla is:

                                  f(x) =  ³/₁₆ (x - 4)² + 7  

Answer:

The answer is x = 3

Step-by-step explanation:

5x + 9 = 24

5x +9 -9 = 24 - 9

5x = 15

x = 15/5 = 3

Therefore, x = 3

Kelly multiplied 5 to each side when she solved for x, which is incorrect.

Answer:

Kelly had incorrectly solved for [tex]x[/tex] where she had multiplied by [tex]5[/tex] instead of dividing by [tex]5[/tex] to find for [tex]x[/tex].

Step-by-step explanation:

How Kelly should have solved it:

[tex]5x+9 = 24[/tex]

[tex]5x + 9-9= 24-9[/tex]

[tex]5x=15[/tex]

[tex]5x\div 5=15\div 5[/tex] (mistake occurred during this step in Kelly's work where she had multiplied by [tex]5[/tex])

[tex]x=3[/tex]

Checking:

To check if [tex]x=3[/tex], we can use substitution:

[tex]5x+9 = 5(3)+9[/tex]

[tex]=15+9[/tex]

[tex]=24[/tex]

∴ The solution for [tex]x[/tex] is correct.

Hope this helps :)

Answer:

2

Step-by-step explanation:

Simplify the expression.

Answer:

2

Step-by-step explanation:

Two subtraction/negative signs make a positive so it's pretty much -3 + 5

So if you take 3 away from 5 you are left with 2

Answer:

(-5, 20)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

3x + y = 5

-2x - y = -10

Step 2: Solve for x

Elimination

Step 3: Solve for y

Step 4: Graph systems

Check the solution set and graph.

Answer:

x = -5

y = 20

Step-by-step explanation:

3x + y = 5 ⇒ y = 5 - 3x

-2x - y = -10 ⇒ 2x + y = 10

2x + (5 - 3x) = 10

5 - x = 10

x = -5

Substitution of x-value into "y = 5 - 3x":

y = 5  - 3(-5)

y = 5 + 15

y = 20

Answer:

The answer is: (98-3)

Answer:

8,2

Step-by-step explanation:

becuase it is 8 points away from the origanal but also 2 points away

Answer:

is the first one

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

(5^7*5^5)/5^13 (when multiplying numbers with the same base, add the exponents)

= (5^12)/5^13 (when dividing exponents with the same base, subtract the exponents)

= 1/5^1 (anything to the first power is itself)

= 1/5

Answer:

b<-7 or b>-1

Step-by-step explanation:

explanation: -6b>42 turns into -42>6b then divide by 6 on both sides and you get -7>b

for the other inequality, you  take 4b+6>2 and then subtract6 from both sides, from there you will get 4b>-4 and that will be b>-1

Answer:

$66.55 dollars i took the same question

Answer:

1/4

Step-by-step explanation:

even number is 3/6 = 1/2

and the coin is 1/2

so 1/2 x 1/2 = 1/4

Answer:

1/4

Step-by-step explanation:

Answer

512 student tickets were purchased.

Step-by-step explanation:

Answer:

The first one is 12

The second one is -12

Just multiply, and remember the negative signs.

Answer:

1st Question- Positive Twelve

Second Question- Negative Twelve

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Answer:

w=9

Step-by-step explanation:

w - 12 = -3

w-12+12=-3+12

w=9

Answer:

Below.

Step-by-step explanation:

(a)

The acceleration = the slope of the graph (change of velocity / time)

= 25/15

= 1.67 m/s/s.

(b)

The distance moved = the area under the graph for the first 0 seconds,

= area of the first triangle + area of the rectangle with height 25 and length (40 - 15)

= 1/2 * 15 * 25  + (40-15) * 25

= 187.5 + 625

= 812.5 m.

(c). ? what is the question?