Question Number 2 of 40 - Algebra II
A polynomial function has zeros -3 and 4. Which is one of the factors of the polynomial?

Answer:

14. x = 6, y = 8

15. x = 5, y = 7

16. x = 7, y = 10

Step-by-step explanation:

For a parallelogram, the length across the point of intersection of its diagonals are equal.

So that;

14. PT = TR

    QT = TS

So that,

2x = y + 4

2x - y = 4 ...........1

x + 2 = y

x - y = -2 ............. 2

subtract equation 2 from 1,

x = 6

substitute the value of x in equation 1,

2 x 6 - y = 4

y = 12 - 4

  = 8

x = 6, y = 8

15. PT = TR

    QT = TS

x + 2 = y

x - y = -2 .......... 1

2x = y + 3

2x - y = 3 ......... 2

Subtract equation 1 from 2

x = 5

substitute the value of x in equation 1

5 - y = -2

5 + 2 = y

y = 7

x = 5, y = 7

16. PT = TR

    QT = TS

y = x + 3

x - y = -3 ......... 1

2y = 3x -1

3x - 2y = 1 ......... 2

Multiply equation 1 by 2 to have;

2x - 2y = -6 ....... 3

subtract equation 3 from 2

x = 7

substitute the value of x in equation 1

7 - y = -3

-y = -7 -3

-y = -10

multiply through by minus

y = 10

x = 7, y = 10

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

4.5m is 500% of 90cm

90cm is 20% of 4.5m.

Answer:

56 degrees

Step-by-step explanation:

180-68=112

112/2=56

hope i could help!

Answer:

112

Step-by-step explanation:

The sum of the other two angles is 112 degrees (180-68 = 112).

But the question is, what triangle is it?

Two other angles could be:

1) 90 and 22 degrees;

2) two equal angles of 56 degrees

3) any that would satisfy the condition in the amount of 112 degrees.

Answer:

2x = 3 hope that helps

Step-by-step explanation:

Answer: 3y=12−2x 3 y = 12 - 2 x

Step-by-step explanation:

Answer:

Let

2x+y=-4——(1)

-3y=2x+12

2x+3y=-12—-(2)

Deduct eqt 1 from 2

(2x+3y=-12)

-(2x+y=-4)

2y=-8

y=-4

Put y=-4 into eqt 1

2x-4=-8

2x=-8+4

2x=-4

Divide both sides by 2

x=-2

:. x,y= -2,-4

Step-by-step explanation:

Answer: I want to say 30 degrees you have to put the degree simble

Step-by-step explanation:

Answer:

[tex]2^{3} *3^{3}[/tex]

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

9514 1404 393

Answer:

Step-by-step explanation:

Opposite sides of a parallelogram have the same length, so ...

  5b +5c = 60

  5b +4c = 55

Subtracting the second equation from the first, we get ...

  c = 5

Substituting that into the first equation, we have ...

  5b +5·5 = 60

  5b = 35 . . . . . . . subtract 25

  b = 7 . . . . . . . . . . divide by 5

The values b = 7 and c = 5 will make this a parallelogram.

Answer:

and

Step-by-step explanation:

your question is ???

Answer:what’s your question

Step-by-step explanation:

Like seriously what is it

Answer:

Step-by-step explanation:

the student buys a total of 8 magazines for $14.00

x+y = 8

x = 8-y

2x+1.6y = 14

2(8-y)+1.6y = 14

16-2y+1.6y = 14

16-0.4y = 14

0.4y =16-14 = 2

y = 2/0.4 = 5

x = 8-y = 3

The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A student buys (x) fashion magazines and (y) sports magazines.

And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.

Here, The student buys a total of 8 magazines for $14.00.

Hence, We can formulate;

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Thus, The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Learn more about the mathematical expression visit:

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Answer:

Length of spaceship in movie = 528

Step-by-step explanation:

Given that:

Drawing ratio of spaceship = 1 : 24

It means that 1 inch on drawing equals 24 inches in movie

Drawing of spaceship = 22 inches

Length of spaceship in movie = x

As the relationship is proportional,

1 : 24 :: 22 : x

Product of mean = Product of extreme

24*22 = x

x = 528

Hence,

Length of spaceship in movie = 528

Answer:

773,917

Step-by-step explanation:

I will assume it will be a compound interest:

To solve any compound interest problems, use the formula (P x e)^r x t

P = Principal amount

e is Euler's number can be found on your calculator

r = rate

t = time  

so 400,000e^0.06 x 11 = 773,916.93 = 773,917 (round to the nearest whole number)

Answer:

pop after 11 years will be 772,000

Step-by-step explanation:

P = initial population · [tex]e^{(.06)(11)}[/tex]     e = Eulers number which is approx 2.7

P = 400,000 · [tex]2.7^{0.66}[/tex]

P = 400,000 · 1.93

P = 772,000

Answer:1.95

Step-by-step explanation:

Answer:

Step-by-step explanation:

When looking at the diagram, we can infer that angle RST is the sum of angles RSQ and QST.

Therefore, angle RST = 46 + 22 = 68

∠RST = 68°

or

Answer:

4 feet 11 inches

Step-by-step explanation:

all you need to do is see how many groups of 12 is in 59

its 4 because 5 times 12 is 60

12 times 4 is 48

59-48= 11

4 feet 11 inches

Brainliest would be appreciated!

Answer:

You're correct

Step-by-step explanation:

-21 > -28

-21 is bigger than -28 so ana did swim further

The value of the missing part of the triangle given above would be = 7.5. That is option A.

To calculate the missing length of the similar triangle, the formula listed below should be used.

That is;

a/a+b = c/c+d

where a = 8

b = 10

c = 6

d = ?

That is;

8/8+10 = 6/6+d

make d the subject of formula;

8(d+6) = 6(18)

8d +48 = 108

8d = 108-48

8d = 60

d = 60/8

d = 7.5

Learn more about triangles here:

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Answer:

2.90

Step-by-step explanation:

if you dive the amount they have by to you get the answer

Answer:

32 Joule by 21 secs

Step-by-step explanation:

I hope that's the correct answer. Best of luck

Answer:

false

Step-by-step explanation:

Formula: c=2[tex]\pi[/tex]r

Circumference= two times pi times radius

Answer:

Subs: 49.5 students, Tex-mex: 144 students, Italian: 31.5 students

Step-by-step explanation

The number of students eating a type of food can be found by using:

Percent * number of students

So in this equation, we can use this formula to find the answers.

Subs:

22% * 225 = 0.22 * 225 = 49.5

Tex-mex:

64% * 225 = 0.64 * 225 = 144

Italian:

14% * 225 = 0.14 * 225 = 31.5

There is an issue- you can't have half a person. Either this question is wrong, or the person who wrote it didn't keep this in mind.

Ask your teacher whether this question is right, or just leave the answer like this.

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

The two pair of angles that are given values are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]2x-10+4x+16=180,\\6x+6=180,\\6x=174,\\x=\fbox{$29$}[/tex].

Answer:

[tex]\huge{ x=29° }[/tex]

Step-by-step explanation:

Here,

The two lines are parallel.

So,The angle (2x-10) and (4x+16) are corresponding. because these angles are the consecutive interior angles.

we know that,

Sum of corresponding angle =180°

According to the question,

[tex]\bold{(2x-10)+(4x+16)=180 }[/tex]

[tex]\bold{2x-10+4x+16=180 }[/tex]

[tex]\bold{ 6x+6=180 }[/tex]

[tex]\bold{6x=180-6 }[/tex]

[tex]\bold{ 6x=174 }[/tex]

[tex]\bold{ x=\dfrac{174}{6} }[/tex]

[tex]\bold{ x=29 }[/tex]

so,

value of x=29°

Answer:

b 19

Step-by-step explanation:

Answer:

the answer is 19, B.

Step-by-step explanation:

this is my first time answering a question. i hope this helps you.

Answer:

$332.00

Step-by-step explanation: