The work shows finding the sum of the algebraic expressions –3a + 2b and 5a + (–7b).   –3a + 2b + 5a + (–7b)       Step 1:  –3a +5a+ 2b + (–7b) Step 2:  (–3 + 5)a + [2 + (–7)]b Step 3:     2a + (–5b) Which is used in each step to simplify the sum? Step 1: Step 2: Step 3:

Answer:

The correct answer is B.

Step by step explanation:

Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]

Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]

Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]

Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]

Hope this helps. If so, may I get brainliest and a thanks?

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2/13+2/13+2/13

= 6/13

Step-by-step explanation:

The probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt is given by P ( A ) = 22.22 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today.

Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.

So , There are a total of 3 x 3 x 4 = 36 possible outfits.

The number of outfits with the specified choices is:

2 (choices of shoes) x 2 (choices of pants) x 2 (choices of shirts) = 8

Therefore, the probability that Jackie chooses an outfit consisting of the specified choices is:

8 / 36 = 2 / 9 ≈ 0.2222 or about 22.22%

Hence , the probability is P ( A ) = 22.22 %

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Answer:

Step-by-step explanation:

Circumference pf base of cone = 24 inches

2πr = 24

[tex]r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}[/tex]

Lateral surface area = πrl

[tex]=\pi *\frac{12}{\pi }*20\\\\=12*20\\[/tex]

= 240 square inches

Answer:

240 square inches

Step-by-step explanation:

Answer:

1= 8

3= 12

5= 16

7= 20

9= 24

Step-by-step explanation:

1+3=4x2=8

3+3=6x2=12

5+3=8x2=16

9+3=12x2=24

ANSWER:1=8

3=12

5=16

7=20

9=24

step -by - step explanation: 1+3=4×2=8

3+3=6×2=12

5+3=8×2=16

9+3=12×2=24

Answer:

A= 185.12 ft²

C=  12.56 ft

Step-by-step explanation:

Area of rectangle is 160 ft²

Area of semi-circle is 25.12 ft²

3.14*4*4=3.14*16=50.24

50.24/2=25.12

160+100.48=260.48 ft² ≈260.5 ft²

3.14*4=12.56

Answer:

185.136

Step-by-step explanation:

20×8=160ft²

3.142×4²= 50.272

50.272÷2=25.136

160+25.146= 185.136

Answer:

72

Step-by-step explanation:

Let m be the age in years. If s is the son's age in years, then the son is 52x weeks old. If g is the grandson's age in years, then the will be grandson 365m days old. So....  the labels are for the equation.

365m = 52x.

Since the grandson is 12w months old,

12w = months.

Since the grandson,  son and the person together are 120 years,

m + x + months = 120.

these are the labels (m, x, and month)

month = 624 x 120 / 1041 = 72.

So, I am basically 72 years old.

hope this helped :D

this is truly very hard.

Answer:

72

Step-by-step explanation:

Answer:

61 degrees is the missing angle measure

Step-by-step explanation:

[tex]cos^{-1} (\frac{15}{31})[/tex]     Use this equation to find the missing angle

61 degrees is the missing angle measure

If this asnwer is correct, please make me Brainliest!

Answer:

y=3x−8

Step-by-step explanation:

Answer:

AT THE POINT NUMBER 2 IS INCORRECT !

Step-by-step explanation:

Answer:

1. 48 + 86 + + Q = 180

2. 46 degrees

3. They are congruent

Step-by-step explanation:

I just got them right on edg

Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.

Using angle sum property, ∠Y = 46°.

It can be concluded that ∠Y = ∠Q.

The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.

In ΔPQR,

∠P + ∠Q + ∠R = 180° (angle sum property)

86 + ∠Q + 48 = 180

∠Q = 180 - 86 - 48 = 46°

In ΔXYZ,

∠X + ∠Y + ∠Z = 180° (angle sum property)

86 + ∠Y + 48 = 180

∠Y = 180 - 86 - 48 = 46°

As visible, ∠Q = ∠Y.

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Let's do it in general first; inner radius r, outer radius R.

Little circumference is 2πr, bigger is 2πR, difference is

d = 2π(R-r)

For us R-r = 2 feet so that's

d = 2 (22/7) (2) = 88/7 ≈ 12.57 feet

Answer: 12.6

Answer:

B = 41.81

Step-by-step explanation:

sin B = opposite/ hyp

sin B = 2/3

Take the inverse sin of each side

sin ^-1 sin (B) =sin ^-1 (2/3)

B =41.8103149

To the nearest hundredth

B = 41.81

Answer:

x = -45

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides:

(x/5) * 5 = (-9) * 5

x = -9 * 5

x = -45

x = -45 is your answer.

~

Steps to solve:

x/5 = -9

~Multiply 5 to both sides

x/5 * 5 = -9 * 5

~Simplify

x = -45

Best of Luck!

Answer:

This first expression is correct

V= 2/3*pi*r³

Step-by-step explanation:

This problem bothers on the volume of a cone

We know that the volume of a cone is expressed as

V= 1/3πr²h

Given that h= 2r

Let us substitute h=2r in the formula above

V= 1/3πr²*2r

V= 2/3πr³

The Answer Is:

2/3pix^3

Two rectangles can be similar, but that's not always guaranteed.

In fact, similar shapes have the same angles and correspondant sides in proportion.

All rectangles will always have four right angles, so we only have to worry about the sides.

Let [tex]a,b[/tex] be the sides of a rectangle, with [tex]a\leq b[/tex]. Let [tex]c,d[/tex] be the sides of a rectangle, with [tex]c\leq d[/tex].

Then, the two rectangles are similar if and only if

[tex]a\div c=b\div d[/tex]

So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).

Answer:

C

Step-by-step explanation:

Answer:

The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)

Answer:

{FL1, FL2, IT1, IT2, ME1, ME2, EN1, EN2}

Step-by-step explanation:

This is each location paired with one week, and each location paired with two weeks.

Answer:

c

Step-by-step explanation:

Answer: x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

6x+2=26

Subtract 2 from both sides to isolate the variable

6x=24

Divide by 6

x=4

Answer:

{H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4}=8

Step-by-step explanation:

Answer:

H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4 I think

Step-by-step explanation:

Answer:

Integer; - 12

Step-by-step explanation:

If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;

At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;

Answer; - 12

Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.

Step-by-step explanation:

7.50h < 150  divide each side of the equation by 7.50

h=20

Answer:

200cm³

Step-by-step explanation:

Volume=[tex]\frac{LXBXH}{3}[/tex]

so 10×10×6=600

600÷3=200

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

43feet

Answer: The median will provide a better description of the center because the median is the middle number.

Step-by-step explanation:

Answer:

Her account balance at the end of 2 years is $257.5.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question:

Deposit of $250, so [tex]P = 250[/tex]

Interest rate of 1.5%, so [tex]I = 0.015[/tex]

2 years, so [tex]t = 2[/tex]

Amount of interest earned:

[tex]E = P*I*t = 250*0.015*2 = 7.5[/tex]

Total amount:

[tex]T = E + P = 7.5 + 250 = 257.5[/tex]

Her account balance at the end of 2 years is $257.5.

Answer:

In about 9 months the population of the towns will be equal.

Step-by-step explanation:

The population of both cities, after t months, can be modeled by linear functions.

Town A:

Population of 53330.

About 75 people move out of the town each month. Each​ month, 175 people on average move into town.

So, after t months, the population will be:

[tex]A(t) = 53300 + (175 - 75)t[/tex]

[tex]A(t) = 53300 + 100t[/tex]

Town B:

Population of 55,825.

An average of 175 people moving away every month.

So, after t months, the population will be:

[tex]B(t) = 55825 - 175t[/tex]

In about how many months will the populations of the towns be​ equal?

This is t for which:

[tex]A(t) = B(t)[/tex]

[tex]53300 + 100t = 55825 - 175t[/tex]

[tex]275t = 2525[/tex]

[tex]t = \frac{2525}{275}[/tex]

[tex]t = 9.18[/tex]

Rounding to the nearest number

In about 9 months the population of the towns will be equal.

Answer:

Step-by-step explanation:

There must be an attachment. I have no knowledge of what to solve for, unless you can tell or show me the missing pieces.

Answer: 1, 3 , 5, and 6

I took the test have a great day!