solve the inequality. 1/4w ≥ 4​

Answer:

x = 5, -5

Step-by-step explanation:

17+x^2=42

-17        -17

x^2 = 25

x = + or - root of 25

x = 5,-5

Answer: Choice A

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

Explanation:

A perfect square trinomial is of the form

(m+n)^2 = m^2 + 2mn + n^2

We can see why this works through use of the FOIL rule.

So the first and last terms must be perfect squares, and they must be positive. This rules out choices B and D since we have -4 and -9 as those last terms being negative.

Choice C is ruled out because the middle coefficient -9 isn't correct. The middle coefficient must be some even number since 2 is a factor of 2mn.

This leaves choice A. We can do a bit of trial and error to find that

(x-2)^2 = x^2 - 4x + 4

showing that choice A is a perfect square trinomial.

Answer:

A) x² - 4x + 4

Step-by-step explanation:

Given the following special factoring formulas on perfect square trinomials:

u² + 2uv + v² = (u + v)²

u² - 2uv + v² = (u - v)²

Apply these concepts on the given set of equations to see which special factoring formulas apply on the given options. I will only work on one of the given options, and you could apply these same techniques on the other ones to compare the results with your calculations.

To find the binomial factors of quadratic equations, you must find factors with product uv, and sum v.

In Option A: x² - 4x + 4

Right off the bat, it seems like the difference of squares may apply to this equation.  You must find the factors that will product of 4 and a sum of -4.

The possible factors are:

product uv: -2 × -2  = 4,

sum v :  -2 + -2 = -4

Hence, the binomial factor of x² - 4x + 4 =  (x - 2)²

If you expand this binomial through FOIL method:

(x - 2)(x - 2) = x² - 2x - 2x + 4 = x² - 4x + 4

This means that the trinomial x² - 4x + 4 produces a perfect square binomial factors of (x - 2)².

Therefore, the correct answer is Option A) x² - 4x + 4.

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Answer:

B

Step-by-step explanation:

x = the number of times he does laundry.

Let's say he does the laundry 5 times then x = 5.

Each time costs $7,50.

If you want to know how much money he has spent after 5 times, you have to calculate 5 times $7,50. 7,5 times 5 = 37.5.

M stands for how much money he still has left from the 240 dollars.

If you apply the formula it would be 'M = 240 - 7.50x (7.50 times 5) = 240 - 37.5 = 202.5'

Therefore, the correct answer is B (M = 240 - 7.50x).

Answer:

Step-by-step explanation:

Answer: its graph C!, I got it right

Answer:

[tex](\frac{5}{2}, 2)[/tex]

Step-by-step explanation:

Hi there!

We are given this system of equations:

2x + y = 7

2x - 3y = -1

And we want to find the solution

There are multiply ways to solve systems of equations, but let's solve this one by elimination, where we will add the two equations together to clear one of them, solve for the un-cleared variable, and then use the value of the un-cleared variable to solve for the cleared one

Before clearing a variable, we need to make sure that the signs on the variables are opposites; for example, -3 and 3, which will add together to get 0

We can multiply the equations beforehand if needed in order to manipulate the numbers.

For example, we can multiply the second equation by -1 in order to switch the signs of each number in that equation:

-1(2x-3y=-1)

-2x+3y=1

Now the signs in front of x are 2 and -2, so we can add the equations together to clear them:

2x + y = 7

-2x + 3y = 1

Add the equations together

4y = 8

Divide both sides by 4

y=2

Now let's use 2 as y to solve for x

In the first equation, substitute 2 for y:

2x + 2 = 7

Subtract 2 from both sides

2x = 5

Divide both sides by 2

[tex]x=\frac{5}{2}[/tex]

As a point, the answer is [tex](\frac{5}{2}, 2)[/tex]

Hope this helps!

Answer:

The 52 square inches of purple paint will Lisa use to paint her letter L, If she plans to paint all sides of it purple, including the base, the longer piece of wood has dimensions of 1 inch by 1 inch by 9 inches and the shorter piece of wood has dimensions of 3 inches by 1 inch by 1 inch.

Step-by-step explanation: The given is, Lisa glued two pieces of wood together to make the letter L The longer piece of wood has dimensions of 1 inch by 1 inch by 9 inches.

Answer:

As I analysed it for me yes it is

Answer:

$6.30

Step-by-step explanation:

since 1/3 is considered 1/3 of a pound, you can multiply 2.10 by 3.

2.10 x 3 = 6.30

Answer:

$6.30

Step-by-step explanation:

3 × 2.10 = 6.30

You know you got the question right if you divide 6.30 by 3 because it's 1/3

1. If the square of a number is added to 8 times the number, the result is 100.

Let x be the number.

Equation: x² + 8x - 100 = 0

2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.

Area: 30ft²

Length: 7w

Width: w

Area of a rectangle: LW

(7w)w = 30ft²

Equation: 7w² - 30 = 0

Step-by-step explanation:

20 - 12 = 8 so he spent 8$ in 4 days.

8 ÷ 4 = 2, so he spent 2$ each day

The rate of Jaman spending money every day will be $2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jamal's parents give him $20 to spend at camp. Jamal spends the same amount of money on snacks each day. After 4 days he has $12 left .

The rate of spending money every day will be calculated as,

Spending in 4 days, 20 - 12 =$8

Rate of spending  = 8 ÷ 4 = $2

Therefore, the rate of Jaman spending money every day will be $2.

To know more about an expression follow

https://brainly.com/question/11352248

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Answer:

Jon is now 10% faster.

Step-by-step explanation:

Since Jon's average speed was 20 MPH and his new average speed is now 22 MPH, we can see that his speed increased by 2 MPH. Now we know that, we would now do 2÷20 = .1

10% is the percent form of 0.1

Answer:

Step-by-step explanation:

Answer:

6a + 12b - 24

Step-by-step explanation:

Answer:

[tex]x - 2 = 0 \\ x = 2 \\ p(2) = 0 \\ {2}^{4} - d {2}^{3} + 8 \times {2}^{2} - 14 \times 2 + 16 = 0 \\ 16 - 8d + 32 - 28 + 16 =0 \\ 8d = 36 \\ d = 36 \div 8 = 4.5[/tex]

enjoy it

The total amount in the account after 1 year will be $420

Based on the information given, the following can be deduced:

Principal = $400

Interest rate = 5%

Time = 1 year

Therefore, the simple Interest will be:

= PRT/100

= ($400 × 5 × 1)/100

= $2000/100

= $20

Therefore, the amount will then be:

= Principal + Interest

= $400 + $20

= $420

Therefore, the total amount is $420

Read related link on:

https://brainly.com/question/24989563

Answer

C and A

Step-by-step explanation:

Answer:

1/2(7.9-0.08) = 3.91

Step-by-step explanation:

Answer:

4 7 12. 19 28 then and is 39

Answer:

y = 1/3x + 10/3

Step-by-step explanation:

Slope: 1/3

Point (-4,2)

b = 2 - (1/3)(-4) = 10/3

#10

[tex]\\ \sf\longmapsto 8^1=8[/tex]

#11

[tex]\\ \sf\longmapsto 1^8=1[/tex]

#12

[tex]\\ \sf\longmapsto (-5)^3=-125[/tex]

#13

[tex]\\ \sf\longmapsto (-5)^4=625[/tex]

Answer:

Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)

Equating (1) and (2)

6n+5=a+(n−1)d

6n+5=a+nd−d ..... (3)

Equating n terms:6n=nd

d=6 ...... (4)

Substituting (4) in (3)

6n+5=a+6n−6

5=a−6

a=11 ..... (5)

Now

Sn=2n(2a+(n−1)d)

Sn=2n(a+Tn) ....... (6)

Substituting (1) and (5) in (6)

Sn=2n(11+6n+5) 

Sn=2n(16+6n) 

Sn=n(8+3n) 

Answer:

y=-2x-6

Step-by-step explanation:

You put the slope before the x and the y intercept goes at the end.

Answer:

Carla ran 0.1 miles per minute.

Step-by-step explanation:

To solve this, we need to use the distance formula.

The formula is d=rt, where d is the distance traveled, r is the rate in which the distance is traveled, and t is the amount of time it took to go that distance. So lets plug it all in.

d=rt

3=(r)(30)

Now, we need to do the inverse of multiplying 30 to both sides, which would be the same as dividing by 30 on both sides.

3/30=(r)(30/30)

0.1=r

The rate is 0.1. Carla ran 0.1 miles per minute.

Answer:

21

Step-by-step explanation:

for the 42.

21×2=42

t t t t t t. t tt. t t t. r r r 4 4 4. r r r t t t t t t t t r r r r r r t. tt t t f f. re enne e r r r

The rate of change is also known as the slope or rise / run.

Slope Formula: (y2 - y1) / (x2 - x1)

First, we'll need two points that are on the line. You can choose any two points you want, as long as they are on the line.

Point 1 = (0, 1)

Point 2 = (-2, -3)

Then, we'll plug the two points into the formula and solve for the slope.

(-3 - 1) / (-2 - 0)

(-4) / (-2)

2

The rate of change of this line is 2.

Hope this helps!! :)

Answer: the rate of change is 2

Step-by-step explanation:

Answer:

pi, 4, 8

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

6-3=3

8-5=3

so that is the answer