Identify the linear term in the function of y = 2x2 − 5x − 12

Answer:

B)$363

Step-by-step explanation:

since she earned $50 each week

50x3=150

then plus the $300 she has

300+150= 450

then add the groceries and two $25 gifts

25x2=50

37+50=87

then take that away from the amount of money she has

450-87=363

Irina has $63 left.

To calculate how much money Irina has left, we need to follow these steps:

Therefore, Irina has $63 left.

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Answer:

Δy = 15

Step-by-step explanation:

Δy represents the change in the y-coordinates

We are given points (-3,-5) and (0,10)

here y₁ = -5 and y₂ = 10

so, delta y will be

Δy = y₂ - y₁

Δy = 10 -(-5)

Δy = 10 + 5

Δy = 15

So, delta y Δy =15

To find the population after t number of years, multiply the starting population by 1 plus the percent increase raised to the number of years.

The equation would be: P = 508(1.062)^t

Answer:

Inverse variation k=4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem

The graph represent a inverse variation

Because

if x increases ----> y decreases

if x decreases ----> y increases

Find the value of k

we have that

For x=2, y=2 -----> see the graph

[tex]k=y*x[/tex]

substitute

[tex]k=2*2=4[/tex]

Answer:

70.32 kg

Step-by-step explanation:

70.32 is bigger than 39.50 and 67.39

so it is the heaviest supply.

Answer:

70.32 kg

Step-by-step explanation:

Put the numbers from smallest to largest, since the units are the same

39.5, 67.39, 70.32

The largest is 70.32, so that is the heaviest

Answer: B . on your test

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Area of a triangle is:

A = 1/2 b h

Given b = 13 and h = 4:

A = 1/2 (13 cm) (4 cm)

A = 26 cm²

There are a few ways to do it; the easiest is just to follow the pattern of taking away two from the average.

The next lines of the table are

6 to 7  -13

7 to 8   -15

8 to 9   -17

Answer: C. -17

Let's find the equation and do it that way.

We have a vertex at (0,3) so we can fill out the vertex form a bit.  In general for vertex (p,q) it's

y = a(x-p)^2+q

We have

f(x) = ax^2 + 3

f(1) = 2

a+3 =2

a = -1

So we found our equation,

y = -x^2 + 3

Let's check it at x=5, y=-5^2+3=-25+3=-22, good

We want the rate of change from 8 to 9, which is

[tex]r = \dfrac{f(9)-f(8)}{9-8}=f(9)-f(8)=-9^2 - -8^2 = -17[/tex]

Answer: -17 again, that checks

The average rate of change for the interval from x=8 to x=9 is -17.

The correct option is (C)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have a vertex at (0,3).

In general let us take vertex (p,q) then

y = a(x-p)²+q

We have,

f(x) = ax² + 3

as x=1, f(x)=2

so,

f(1) = 2

a+3 =2

a = -1

Now, the equation

y = -x² + 3

Thus, the rate of change from 8 to 9

= f(9)-f(8)/9-8

= -9²-(-8)²

=-81+64

=-17

Hence,  the average rate of change for the interval from x=8 to x=9 is -17.

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Answer:

y=x-5

Step-by-step explanation:

"output" means  y

and "input" means  x

So all you need to find is the =

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Answer:

π(4)²(16)

Step-by-step explanation:

Given r = 4, h = 16

Use formula for cylinder:

Volume of cylinder,

V = πr²h

= π(4)²(16)

Answer:

Answer:

π(4)²(16)

Step-by-step explanation:

Given r = 4, h = 16

Use formula for cylinder:

Volume of cylinder,  

V = πr²h

= π(4)²(16)

Step-by-step explanation:

Answer:

6/7.

Step-by-step explanation:

The sum of the 2 numbers is greater than 5 in 6 out of 7 throws.

So the required experimental probability is 6/7.

Answer:

The experimental probability that the sum of the next two number rolled is more than 5 is [tex]\frac{6}{7}[/tex].

Step-by-step explanation:

From the given table it is clear that

Roll 1 : 6+6=12>5

Roll 2: 6+1=7>5

Roll 3: 3+5=8>5

Roll 4: 6+2=8>5

Roll 5: 6+4=10>5

Roll 6: 5+1=6>5

Roll 7: 3+2=5

There is information about 7 roll, therefore the total possible outcomes is 7.

6 out of seven rolls resulted in a sum greater than 5, therefore the favorable outcomes is 6.

The experimental probability that the sum of the next two number rolled is more than 5 is

[tex]P=\frac{\text{Favorable outcomes}}{\text{Total possible outcomes}}[/tex]

[tex]P=\frac{6}{7}[/tex]

Therefore the experimental probability that the sum of the next two number rolled is more than 5 is [tex]\frac{6}{7}[/tex].

[tex]\bf (2x^2-3x)^2+4(2x^2-3x)+3=0\qquad \boxed{a=2x^2-3x}\implies a^2+4a+3=0 \\\\\\ (a+3)(a+1)=0\implies a= \begin{cases} -3\\ -1 \end{cases}\qquad \stackrel{\textit{their sum}}{-3-1\implies -4}[/tex]

Answer:

3/2

Step-by-step explanation:

(2x² − 3x)² + 4 (2x² − 3x) + 3 = 0

We can simplify this using substitution.  Let's say that u = 2x² − 3x.

u² + 4u + 3 = 0

Factoring:

(u + 3)(u + 1) = 0

u = -3, u = -1

Therefore:

2x² − 3x = -3, 2x² − 3x = -1

2x² − 3x + 3 = 0, 2x² − 3x + 1 = 0

For a quadratic ax² + bx + c = 0, the sum of the roots is -b/a.  So in both cases, the sum is 3/2.

Answer:

Last option: [tex]3+(-7)=-4[/tex]

Step-by-step explanation:

The number line can help us to make additions and subtractions.

To add a positive number we need to move the point to the right and to add a negative number we need to move the point to the left.

You can observe in the figure that the point on the number line is moved from 3 to -4, then it is moved 7 places to the left. Therefore, you can express it in the following form:

[tex]3+(-7)[/tex]

This is:

[tex]3+(-7)=3-7=-4[/tex]

Then the number line represents this number sentence:

[tex]3+(-7)=-4[/tex]

Answer:

(-4, -4)

Step-by-step explanation:

Look for the vertex / minimum point on the graph.  If you read the x- and y-axis scales correctly, you'll see that the vertex is located at (-4, -4).  Not all the divisions on the x- and y-axes are marked;  you have to mark them in your imagination.

Answer:

A.

Step-by-step explanation:

As in the picture we have that the parabola opens up, then the vertex will be the minimum point in the graph. Now, the minimum point of the parabola in the picture is in x= -4 and y = -4 (the points go two by two), I show you that values in the picture below. Then, the vertex of the graph showed in the picture is (-4,-4). Then, the answer is A.

Answer:

its 17.4

Step-by-step explanation:

if you add all the numbers up then divide it by the amount of numbers you added together you get this answer

Answer 17.4

Explanation: you add them all up so 13+18+20+25+11 then divide by how many numbers there are so divide by 5 you will end up with 17.4

Answer:

50

Step-by-step explanation:

half of polygon A is 50          the sides of polygon A are twice the length

                                                 of the corresponding sides of polygon B.

It's the sum of the length of the sides used to make the given figure. The perimeter of Polygon A is 50 units.

It's the sum of the length of the sides used to make the given figure.

Given Polygon A is similar to polygon B. Also, The perimeter of polygon Ais 100.  Now, let the number of sides in Polygon A be n, while the length of a side is 2x. Therefore, the perimeter of the polygon A is,

n × 2x = 100

Given the length of the side of the polygon B is half the length of the side of polygon A. Therefore, the perimeter of polygon B is,

n × x = Perimeter

Now, if the ratio of the two equations is taken then,

(n × 2x)/ (n × x) = 100/ Perimeter

2 = 100/Perimeter

Perimeter = 50 units

Hence, the perimeter of Polygon A is 50 units.

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Answer:

both equations represent the same line

Step-by-step explanation:

[tex]\bf Px+35=-6x+Q\implies \stackrel{P}{~~\begin{matrix} -6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}x+35=~~\begin{matrix} -6x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+\stackrel{Q}{35}\implies 35=35[/tex]

whenever you get an equality like so, that's a flat that both equations are exactly one and the same and thus the system has "infinitely many solutions".

ANSWER

The solution is (1,-3)

EXPLANATION

The system of Equations are;

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

and

[tex]-10x+6y=-28[/tex]

We substitute the first equation into the second equation to get:

[tex]-10(4 + y)+6y=-28[/tex]

We expand the parenthesis to get:

[tex]-40 - 10y+6y=-28[/tex]

Group similar terms to get:

[tex]- 10y+6y=-28 + 40[/tex]

Simplify the similar terms to get;

[tex] - 4y = 12[/tex]

Divide both sides -4.

[tex]y = \frac{12}{ - 4} [/tex]

[tex]y = - 3[/tex]

We put y=-3 into the first equation to get:

[tex]x = 4 + - 3 = 1[/tex]

Therefore the solution is (1,-3)

Answer:

Two solutions

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

Both lines have a slope m = - [tex]\frac{1}{2}[/tex]

Hence the lines are parallel and have no points of intersection

Thus the system has no solution → A

The answer is:

The correct option is the option D

[tex]g=1.63\frac{m}{s^{2}}[/tex]

To calculate the acceleration, we need to use the following formula that involves the given information (initial speed, final speed, and time).

We need to use the following free fall equation:

[tex]V_{f}=V_{o}-g*t[/tex]

Where:

[tex]V_{f}[/tex] is the final speed.

[tex]V_{o}[/tex] is the initial speed.

g is the acceleration due to gravity.

t is the time.

We are given the following information:

[tex]V_{f}=8.15\frac{m}{s}[/tex]

[tex]V_{o}=0\frac{m}{s}[/tex]

[tex]t=5seconds[/tex]

Then, using the formula to isolate the acceleration, we have:

[tex]V_{f}=V_{o}-g*t[/tex]

[tex]V_{f}=V_{o}-g*t\\\\g*t=V_{o}-V_{f}\\\\g=\frac{V_{o}-V_{f}}{t}[/tex]

Now, substituting we have:

[tex]g=\frac{V_{o}-V_{f}}{t}[/tex]

[tex]g=\frac{0-8.15\frac{m}{s}}{5seconds}=-1.63\frac{m}{s^{2}}[/tex]

Therefore, since we are looking for a magnitude, we have that the obtained value will be positive, so:

[tex]g=1.63\frac{m}{s^{2}}[/tex]

Hence, the correct option is the option D

[tex]g=1.63\frac{m}{s^{2}}[/tex]

Have a nice day!

The number 0.58 produces a rational number when added to 0.42.

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. It can be expressed as a whole number or in the fractional format.

Let us find the nearest rational number which can be expressed in the whole number format.

For 0.42, the nearest rational number is 1 .

Thus the number added to 0.42 is (1 - 0.42) = 0.58 .

Therefore, the number 0.58 produces a rational number when added to 0.42.

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Answer:

216

Step-by-step explanation:

Anything to the zero power is equal to 0.

The denominator can be moved to the numerator because the exponent is negative. So it is now 1*6^3. This is equal to 216.

The value of expression [tex]\frac{d^{0} }{w^{-3} }[/tex] is 216

The correct option is (B).

Power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.

Given:

[tex]\frac{d^{0} }{w^{-3} }[/tex]

put d=-5 and w=6

So, [tex]\frac{-5^{0} }{6^{-3} }[/tex]

=1/[tex]6^{-3}[/tex]   [a°=1]

=6³      [[tex]1/a^{-b} = a^{b}[/tex]]

=216.

hence,  [tex]\frac{d^{0} }{w^{-3} }[/tex] = 216.

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Answer:

his total income by the end of 4 years will be: $2622.

Step-by-step explanation:

A man earns a base salary of $2000, and every year he got a raise of 7% on his total income.

The first year, he will earn: 1.07($2000) = $2140

The second year he will earn: 1.07($2140) = $2289.8

The third year he will earn: 1.07($2289.8) = $2450.086

The fourth year he will earn: 1.07($2450.086) = $2621.59202

Therefore, his total income by the end of 4 years will be: $2622.

Answer:

B. Y²⁴

Step-by-step explanation:

For perfect cubes, the exponents are a multiple of three. If yᵃ is a perfect cube, then a/3=k where k is a whole number.

Among the provided choices, the exponent of y²⁴ is divisible by 3.

24/3 = 8.

Thus y²⁴ is a perfect cube.

Answer:

B

thats the answer on edge 2020

Answer:40 %

Step-by-step explanation:

Given

Debt=5,446,772,143,940,528 $

Gross domestic product(GDP)=13,647,498,222,417,097 $

Debt to GDP ratio is

=[tex]\frac{5,446,772,143,940,528}{13,647,498,222,417,097}[/tex]

=0.399104

[tex]39.91 \%\approx 40\%[/tex]

Answer:

Explanation of the above answer: “One less than the quotient of four and a number x. ""One less"" means you will subtract 1 from it. For that reason the overall expression is 4x-1.

Step-by-step explanation:

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Answer:

x = 72

y = 12

Step-by-step explanation:

x = 6y

x + y = 84

Just Guess & Check lol

Answer:

2.5

Step-by-step explanation:

16.1 + 16.1 = 32.2

37.2 - 32.2 = 5

5 / 2 = 2.5

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