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What is the magnitude (size) of –7.5?


A., because |–7.5| =


B.–7.5, because |–7.5| = 7.5


C.7.5, because |–7.5| = 7.5


D.7.5, because |–7.5| = –7.5

Answer:

The two numbers are 6 and -10

Step-by-step explanation:

Given

[tex]Product = -60[/tex]

[tex]Sum =-4[/tex]

Required

Two numbers that satisfy the above

Let the two numbers be x and y.

So:

[tex]x * y = -60[/tex]

[tex]x + y = -4[/tex]

Make x the subject

[tex]x = -4 - y[/tex]

Substitute [tex]x = -4 - y[/tex] in [tex]x * y = -60[/tex]

[tex](-4 -y) * y = -60[/tex]

Open bracket

[tex]-4y -y^2 = -60[/tex]

Rewrite as:

[tex]y^2 + 4y - 60 = 0[/tex]

Split

[tex]y^2 + 10y - 6y - 60 = 0[/tex]

Factorize

[tex]y(y + 10) - 6(y + 10) = 0[/tex]

Factor out y + 10

[tex](y - 6) (y + 10) = 0[/tex]

Solve for y

[tex]y -6=0\ or\ y+10=0[/tex]

[tex]y =6\ or\ y=-10[/tex]

Recall that:

[tex]x = -4 - y[/tex]

So:

[tex]x = -4-6= -10[/tex]

or

[tex]x = -4--10= 6[/tex]

So:

[tex]y =6\ or\ y=-10[/tex]

[tex]x = -10\ or\ x =6[/tex]

The two numbers are 6 and -10

Answer:

Step-by-step explanation:

2/16

1/8

8/1=8

2/16=0.125 which is equal to 1/8

2/14=1/7

1/8=1/8 is 2/16 simplified so they are the same

14/2=7

Answer:

88%

Step-by-step explanation:

First we multiply the mean by 5.

77.4 x 5 = 387

Then we add all of the test scores.

88 + 77 + 70 + 72 = 299

We subtract the total of the scores from 387, which we got from mulitplying the mean by 5.

387 - 299 = 88

Therefore, Tom's score on his fifth test was an 88%.

Hope this helps!

The temperature increased by 10°F.

Step-by-step explanation:

To solve this question, solve this equation:

[tex]-6+X=4[/tex]

Flip the equation so it is easier to solve:

[tex]4-(-6)=X[/tex]

Two negatives = A positive so:

[tex]4+6=X[/tex]

Then, add to solve the equation:

[tex]10=X[/tex]

The temperature increased by 10.

The range is the difference between the longest hike and the shortest hike.

Longest = 5

Shortest = 1

Range = 5-1 = 4 miles

Answer:

396 cubic centimeters

Step-by-step explanation:

Given that

The dimension of the base is 4 centimeter by 9 centimeter and the height is 11 centimeter

We need to find out the volume of the right rectangular prism

We need to apply the following formula

As we know that

Volume = lwh

here

l denotes the length

w denotes the width

And, h denotes the height

= (4) (9) (11)

= 396 cubic centimeters

Answer:

A 396 cm^3 is correct

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think

If thats not right I apologize

Answer: $2.94

Step-by-step explanation:

You do 0.07 x 42

Answer:

y = 8x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 8 and c = 5

y = 8x + 5 ← equation of line

Answer:

10

Step-by-step explanation:

Answer:

the answers is 10:))))))

Answer:

7 1/10 inch

Step-by-step explanation:

Answer:

D. 4 units to the left

The transformation of the function will be 4 units to the left. The correct option is D.

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.

Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.

When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).

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The answer to the equation is 2.5

Answer:

Plz explain how to do this. Do I put numbers or what?

Step-by-step explanation:

When you tell me, I'll answer! <3

Complete Question

What is the area of the parallelogram?

Slant Height = 21 cm

Height = 15 cm

Base = 20 cm

Answer:

300cm²

Step-by-step explanation:

The formula for the area of the parallelogram = Base × Height

Base = 20cm

Height = 15cm

Area = Base × Height

= 20cm × 15cm

= 300 cm²

Therefore, the area of the parallelogram is 300 cm²

Answer:B!300 cm!

Step-by-step explanation:hope this helps!!happy Friday!

Answer:

What?

Step-by-step explanation:

I think you didn't finish the question. Add it again and I'll go check tell me when you've posted another one if you did.

Answer:

C

Step-by-step explanation:

A polynomial in standard form is first term, variable with largest exponent  followed by decreasing exponents to the last term, the constant

Given

x³ - 7x + 7[tex]x^{5}[/tex] - 19 + x² ← rearrange terms

= 7[tex]x^{5}[/tex] + x³ + x² - 7x - 19 ← in standard form → C

Answer:

-6

Step-by-step explanation:

Plug in -1/3for t

W(-1/3)=15(-1/3)-1=-5-1=-6

Answer:

-6

Step-by-step explanation:

substitute -1/3 into w(t) = 15t - 1

=>  w(-1/3) = 15(-1/3) - 1

=> w(-1/3) = -6

Answer:

x = (-158)/87

Step-by-step explanation:

Solve for x:

38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38

Hint: | Multiply 7 and 4 together.

7×4 = 28:

38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38

Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).

Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):

28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38

Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.

38 x + 7 x + 7 x + 7 x = 59 x:

28 (x + 7) + 59 x = 38

Hint: | Distribute 28 over x + 7.

28 (x + 7) = 28 x + 196:

28 x + 196 + 59 x = 38

Hint: | Add like terms in 59 x + 28 x + 196.

28 x + 59 x = 87 x:

87 x + 196 = 38

Hint: | Isolate terms with x to the left hand side.

Subtract 196 from both sides:

87 x + (196 - 196) = 38 - 196

Hint: | Look for the difference of two identical terms.

196 - 196 = 0:

87 x = 38 - 196

Hint: | Evaluate 38 - 196.

38 - 196 = -158:

87 x = -158

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 87 x = -158 by 87:

(87 x)/87 = (-158)/87

Hint: | Any nonzero number divided by itself is one.

87/87 = 1:

Answer: x = (-158)/87

Answer:

x^2 + 16x - 15 = 0.

Step-by-step explanation:

x^2 + 16x – 11 = 4    Subtract 4 from both sides:

x^2 + 16x - 15 = 0  is one equation with  the same roots.

Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:

3x^2 + 48x - 45 = 0.

Answer:

I think it’s  28.3

Step-by-step explanation:

Sorry If I’m wrong

Answer:

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

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Answer:

Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.

The total cost of both games is:

X + Y

We know that both games cost just above AED 80

Then:

X + Y > AED 80

From this, we want to prove that at least one of the games costed more than AED 40.

Now let's play with the possible prices of X, there are two possible cases:

X is larger than AED 40

X is equal to or smaller than AED 40.

If X is more than AED 40, then we have a game that costed more than AED 40.

If X is less than or equal to AED 40, then:

X ≥ AED 40

Now let's take the maximum value of X in this scenario, this is:

X = AED 40

Replacing this in the first inequality, we get:

X + Y > AED 80

Replacing the value of X we get:

AED 40 + Y  > AED 80

Y > AED 80 - AED 40

Y > AED 40

So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.

So we proven that in all the possible cases, at least one of the two games costs more than AED 40.

Answer:

d

Step-by-step explanation:

Answer:

2kJ

Step-by-step explanation:

Use the 10 percent rule:

20kJ=20,000J

20,000J*0.10=2,000J=2kJ

Answer:

3.) 4

4.) 4j=44

    4j/4=44/4

      j=11

Pls mark Brainliest :)

Step-by-step explanation:

Answer:

Son funciones periódicas con un período de. 2 π. ... La gráfica de y = sin x y = sin x es simétrica con respecto al origen, porque es una función impar. La gráfica de y = cos x y = cos x es simétrica con respecto al eje y, porque es una función par.

Step-by-step explanation:

marque esta respuesta como la más inteligente

Answer:

The airplane starts its descent from an altitude 500 feet higher.

Step-by-step explanation:

Given that:

F(x) = - 200x+20,000

g(x) = -200x+20,500

The functions are written in slope intercept format :

With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :

The slope is -200 ; which means that the descent rate of the airplane is 200

The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.