work or
Use the distributive property or the area model to write an expression that is equivalent
to 8(3x + 4).
a. 24x + 4
b. 3x + 32
c. 24x + 32
d. 11x + 12

Answer:

-10=m+(-15)

or,-10=m-15

or,-m=-15+10

or,-m=-5

m=5

Hope it helps

Good luck on your assignment

Answer:

[tex]m = 5[/tex]

Step-by-step explanation:

[tex] - 10 = m + ( - 15) \\ - 10 = m - 15 \\ - 10 + 15 = m \\ m = 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be  [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.

A vertex in a quadratic equation is the minimum or maximum point of the equation and  an [tex]x-[/tex]intercept of a graph is the point at which the graph intersects the [tex]x-[/tex]axis.

Vertex form, [tex]y=a(x-h)^2+k[/tex]

We have,

[tex]y= x^2 - 6x - 7[/tex]

Now,

Find the [tex]x-[/tex]intercept  and to find [tex]x-[/tex]intercept put [tex]y=0[/tex] ;

i.e. [tex]y= x^2 - 6x - 7[/tex]

[tex]0= x^2 - 6x - 7[/tex]

[tex]x^2 - 6x - 7=0[/tex]

Now using Mid-term split method find value of [tex]x[/tex];

[tex]x^2 - 7x+1x - 7=0[/tex]

[tex]x(x - 7)+1(x - 7)=0[/tex]

[tex](x - 7)(x +1)=0[/tex]

[tex](x - 7)=0[/tex]⇒[tex]x=7[/tex]

[tex](x +1)=0[/tex]⇒[tex]x=-1[/tex]

So, these are the [tex]x-[/tex]intercept [tex](7,-1)[/tex] of the expression.

Now find the vertex using the above given formula;

[tex]y=a(x-h)^2+k[/tex]

Rewrite in vertex form

[tex]y= x^2 - 6x - 7[/tex]

Add and subtract [tex](-3)^2[/tex] in given expression;

[tex]y= x^2 - 6x + (-3)^2 -7 - (-3)^2[/tex]

[tex]y = x^2 - 6x + 9 -7 - 9[/tex]

[tex]y = x^2 - 6x + 9 -16[/tex]

Now convert quadratic part of equation in [tex](a-b)^2[/tex];

[tex]y = (x-3)^2-16[/tex]

Now compare it with [tex]y=a(x-h)^2+k[/tex]

We get,  [tex]h=3,\ k=-16[/tex]

So, these are the vertex [tex](3,-16)[/tex] of expression.

Hence, we can say that the vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be  [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.

To know more about vertex and  [tex]x-[/tex]intercepts of the graph click here

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Answer:

$68.00 (Ignoring tax)

Step-by-step explanation:

80 x 0.15 = 12

80-12=68

Answer:

I am not sure what to answer because you are a little unclear, but from what I can see, that means that there would be 14 normal card, and 2 marked cards. I am not sure what you are trying to find, but I am going to assume that you  are trying to find the probability of chossing the marked cards. If you are trying to find the prob. of pulling just one of the cards, then it would be 2/14, or 1/7. If you are seeking the probability of getting both cards, without replacement, then I dont know.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

the answer is D (the last one)

Step-by-step explanation:

Easy claps!

Answer: D) y = 2(5)^x

Step-by-step explanation: 2=2(5)^0 1250=2(5)^4

IT's basic prealgebra!

Answer:

D

Step-by-step explanation:

Answer:

x = 5/2       x = -4

Step-by-step explanation:

2x^2 + 3x – 20 = 0

Factor

(2x -5) (x+4) = 0

Using the zero product property

2x-5 =0     x+4 = 0

2x=5           x = -4

x = 5/2       x = -4

Answer:

∠ A ≅ ∠ F

Step-by-step explanation:

Given that the triangles are congruent, then corresponding angles are congruent, that is

∠ A ≅ ∠ F

∠ B ≅ ∠ E

∠ C ≅ ∠ D

The correct statement from the list is therefore ∠ A ≅ ∠ F

Answer:

D.

Step-by-step explanation:

Bottom of the ladder is base, a = 3 ft

Top of the ladder from the ground is the perpendicular, b = 4 ft

We have to find the length of ladder, c = ?

So we'll use Pythagoras theorem

c² = a²+b²

c² = 3²+4²

c² = 9+16

c² = 25

Taking square root on both sides, we'll get

c = 5 feet

Answer:

Using pythagoras theorem

hypotenus^2=Adjacent^2+Opposite^2

H^2=3^2 + 4^2

H^2=9+16

H^2=25

H=square root of 25

H=5

Hope it helps.

The answer is 5 feet.

Answer:

ratio

Step-by-step explanation:

Sign " : " is called Colon it represents the ratio, which is an ordered pair of a & b (b =! 0) which is a/b, represent as a:b.

The ratio is comparison of two quantities, usually by dividing them. By comparing one data point (A) to another data point (B), the formula would be A/B. This means you are dividing information A by information B.

Ratio data is a form of numeric data. It measures variables on a continuous scale, with an equal distance between adjacent values.

Learn more about Ratio here

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Answer

x= 60

Step-by-step explanation:

100/25= 4

25*4 =100

15*4 = x

x= 60

Answer:

60

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

Minimum number of voters for the democratic candidate would be 3120 voters.

Step-by-step explanation:

Total number of people turning out to vote = 12,000

Percentage of votes a democratic would get = 30%

Which means that it is expected that a democratic candidate will get: 30/100 · 12,000 = 3600 votes

However, the polling may have an error of +4% to -4%

Which means that the votes a democratic candidate will get will range from 30%+4% = 34% to 30%-4%= 26% of the total people who turn out to vote

Minimum number of voters can be determined by taking 26% of the total people who turn out to vote:

Minimum number of votes = 26/100 · 12,000 = 3120

Answer:

60

Step-by-step explanation:

5 x 4 x 3=60

Answer:

24 ways

Step-by-step explanation:

4x3x2

12x2

24

Answer:

Step-by-step explanation:

all i know is how to get the original answer not the verified sorry

Answer:

#6- you can verify this way by plugging the value you got for x or y back into the equation. If it works, then the equation will be true.

By graphing- The solution on the graph is where the 2 lines will intersect. Find the coordinates of the intersection point and see if your answer has the same x and y values, if so, it is correct.

Answer:

Step-by-step explanation:

Let the sequence as :

[tex]T_1, T_2, T_3, 17, T_5, T_6,......T_{13}[/tex]

I put 17 there as [tex]T_4[/tex] because I want 3 consecutive elements. Let A is the sum of them.

[tex]T_1+T_2+T_3 = A[/tex]

   17

[tex]T_5+T_6+T_7 = A[/tex]

[tex]T_8+T_9+T_{10} = A[/tex]

[tex]T_{11}+T_{12}+T_{13}=A[/tex]

[tex]\sum T_i + 17 = 217 = 4A + 17[/tex]

Hence A = 50

Then, back to the condition

[tex]T_4+ T_5 + T_6 = A = 50[/tex]

[tex]T_5+T_6+T_7 = A = 50[/tex]

Subtract them, we get

[tex]T_4 - T_7 = 0[/tex]

That gives you

[tex]T_4 = T_7 = 17[/tex]

Do the same with other groups.

Answer:

1. 56x - 480

2. 40x + 80

3. LENGTH = 72 feet, WIDTH = 66.4 feet

part 2: Regular means that all sides and angles are the same length

4. 6x

5. 216 feet

Step-by-step explanation:

(20x + 24) * (36x - 20)

56x - 480

2(20x + 24) + 2(36x - 20)

40x + 48 + 72 - 40

40x + 80

176 = 40x + 80

176 - 80 = 40x + 80 - 80

96 = 40x

96 / 40 = 40x / 40

2.4 = x

(20(2.4) + 24)

(36(2.4) - 20)

6(36)

Answer:

Domain : x ∈ Real Numbers

Range : y ≥ 30

Step-by-step explanation:

The given equation is:

[tex]y^2-9x^2=900[/tex]

Simplifying it

[tex]\frac{y^2}{900}-\frac{9x^2}{900}=\frac{900}{900}\\\frac{y^2}{900}-\frac{x^2}{100}=1\\\frac{y^2}{30^2}-\frac{x^2}{10^2}=1[/tex]

Where Standard equation of parabola is:

[tex]\frac{y^2}{a^2}-\frac{x^2}{b^2}=1[/tex]

Which are similar. Conic Section is a parabola.

Simplify the given equation:

[tex]y^2-9x^2=900\\y=\sqrt{9x^2+900},y=-\sqrt{9x^2+900}\\y=3\sqrt{x^2+100},y=-3\sqrt{x^2+100}[/tex]

For whatever value of x, term under the square root always remains positive, so

Domain : x ∈ Real Numbers

For minimum value of x i.e 0, y=30. If we increase x, y also increases. So

Range : y ≥ 30

Answer:

 y = 4

Step-by-step explanation:

The two given points both have the same y-value, so the line through them is a horizontal line. None of the answer choices is correct for the points given here.

Answer:

The symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Step-by-step explanation:

Two triangles are said to be congruent if they have the same three sides and the same three angles, not necessarily the same sides or the same angles are equal.

The properties of congruence are:

For all angles A, ∠A ≅ ∠A. That is, all angles are congruent to themselves.

If AB is side of a triangle then, AB ≅ AB.

For any angles A and B if, ∠A ≅ ∠B, then ∠B ≅ ∠A.

For sides AB and CB of a triangle if, AB ≅ CB, then CB ≅ AB.

For any angles A, B and C if, ∠A ≅ ∠B, and ∠B ≅ ∠C then ∠A ≅ ∠C.

For sides AB, CB and CA of a triangle if, AB ≅ CB, and CB ≅ CA, then AB ≅ CA.

Thus, the symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Answer:

B

Explanation:

Matches all the points on the graph

Answer:

B (the answer selected in the picture)

Step-by-step explanation:

The points in Quadrant 1:

~from left to right~

(2, 0)

(3, 3)

(4, 5)

The point in Quadrant 2:

(-5, 4)

The points in Quadrant 3:

~from left to right~

(-3, -2)

(-1, -2)

The point in Quadrant 4:

(6, -4)

All of these points are listed in the second answer choice; therefore this answer is correct.

Answer:

  On a coordinate plane, points (1, negative 2) and (2, negative 4) are plotted

Step-by-step explanation:

In the choice shown above, y/x has the same ratio for both points. That is the hallmark of a proportional relationship.

Answer:

A

Step-by-step explanation:

Answer:

The range of the Morning box plot is the same as the range of the Afternoon box plot.

Step-by-step explanation:

Data provided in the question

Number line = 0 to 16

Morning whiskers range = 3 to 15

Box range = 5 to 12

Line divided = 8

Afternoon whiskers range = 4 to 16

Box range = 8 to 15

Line divided = 14

Based on the above information,

The morning whiskers range difference is

= 12 - 5

= 7

And, the afternoon whiskers range difference is

= 15 - 8

= 7

Therefore the first option is correct

Answer: A. The range of the Morning box plot is the same as the range of the Afternoon box plot.

Answer:

b

Step-by-step explanation: