Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply. 0 = 3x2 2x – 2 0 = –2 – 3x2 3 0 = –3x 3x2 – 2 0 = 3x2 x 2 0 = –1x – 2 3x2

Answers

Answer 1

The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.

What is a quadratic equation?

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.

The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.

The first equation given in the problem is,

[tex]0 = 3x^2 +2x - 2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.

The second equation given in the problem is,

[tex]0 = -2 - 3x^2 +3[/tex]

Rearrange the equation as,

[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]

In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.

The third equation given in the problem is,

[tex]0 = 3x^2 +x +2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.

The fourth equation given in the problem is,

[tex]0 = -1x - 2 +3x^2[/tex]

Rearrange the equation as,

[tex]0=3x^2-1x-2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.

Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.

Learn more about the quadratic equation here;

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Related Questions

Write an example problem(s) for area.

Answers

Answer:

Example 1.

A square with side lengths of 5.

5*5 = 25.

So the area would be 25 units ^2

Example 2.

A rectangle with a length of 9 and a width of 4

9*4 = 36

So the area is 36 units ^2

Answer:

A square with side lengths of 5.5*5 = 25.

Step-by-step explanation:

Quadratic Functions - Part 2
Graphing Quadratic Functions Using Vertex Form - Part 1
Independence Practice

1. Identify the vertex, complete the table and graph g(x) = (x – 4)^2 – 5.

2. Identify the vertex, complete the table and graph h(x) = (x + 1)^2 + 4.

Answers

Answer:

h(x) = (x + 1)^2 + 4/ 23+40 =49

Step-by-step explanation:

The step by step is on papamath.com

Someone solve number 8 pleaseeeee

Answers

Answer:

2 cats

Step-by-step explanation:

12% of 24 = 2.88

Answer:

2 cats were adopted.

Step-by-step explanation:

When finding a percentage of something, heres a trick. Just take the number you taking the perccentage of, and mutiply it by the percentage. In this case, 24*12.

24*12 = 288.

Now take that new number and divide it by 100. Now you have your answer. In this case,

288/100 = 2.88.

Becuase these are cats, we can't have or adopt half of one XD. You can't adopt half of a cat, so we round it down to 2. Meaning, 2 cats were adopted.

g(n) = 4n+ 3
f(n) =n +4
Find -5g (9) + 5f (9)

Answers

Answer: -130

Step-by-step explanation:

A company is promoting two employees to the director and manger roles. If there are currently 35 employees, how many ways can those positions be filled?
1785

1190

595

270

Answers

Answer:

595

Step-by-step explanation:

2 positions for 35 employees.

[tex]C(n) = (\frac{n}{k}) = \frac{n!}{(k!(n-k)!)}[/tex]

Where n = 35, total number of employees and k = 2, how many spots available

[tex]\frac{35}{2} = \frac{35!}{2!(n-k)!} = \frac{35*34}{2 * 1} = 595[/tex]

Answer:

595

Step-by-step explanation:

HELPPPP HEL-P MEE ME

Answers

Answer:

208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Answer:

208 m²

[tex] \: [/tex]

Step-by-step explanation:

In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.

So, the formula for finding the surface area is ;

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\[/tex]

Now, we'll substitute the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\[/tex]

Therefore,

The surface area of the cuboid is 208m²

What is the percent of increase from 4.2 to 9.5?

Answers

Answer:

126.19%

Step-by-step explanation:

An urn of boiling water in an office has a capacity of 20litres. If it filled to maximum capacity, calculate the number of 250ml cups that can be shared from it.

Answers

Ok, in a liter there is 1000 milliliters, multiply by 20 to get 20,000, now we know the urn has 20,000 milliliters and we simply divide it by 250 to get about 80 cups

Can someone help me with this problem

Answers

d(4.4)

hope it really helps ...!!!

Ms. Lawrence had $550 in her bank account. The next day she withdrew $120 to buy groceries. She deposited $200 two days later. Four days later she used her debit card to buy new shoes that cost $89. What was her bank account balance after these transactions? O A $541.00 O B $630.00 O c $430,00 D $670.00​

Answers

option A

hope it really helps...!!!

a. 30
b. 86
c. 32
d. 79

Answers

Answer:

30°

Step-by-step explanation:

<KOL = <JOL - <JOK

= 58° - 28°

= 30°

What is the vertex of g(x) = 3x2 − 12x 7? (−6, −5) (−2, −5) (2, −5) (6, −5)

Answers

The vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5), the correct option is C.

What is the vertex of the parabola?

The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.

The standard equation of the vertex of the parabola is;

[tex]\rm a(x - h)^2 + k[/tex]

Where h and k are the coordinates of the vertex of the parabola.

The given expression is;

[tex]\rm =3x^2 - 12x + 7\\\\= 3(x^2 - 4x) + 7\\\\ = 3[ (x - 2)^2 - 4)] + 7\\\\= 3(x - 2)^2 - 12 + 7\\\\= 3(x - 2)^2 - 5[/tex]

On comparing with the standard form of vertex of the parabola

h = 2 and k = -5

Hence, the vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5).

To know more about parabola click the link given below.

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two children want to share 5 cupcakes so that each child gets the same amount. How many cupcakes should each child get

Answers

Answer:

2.5

Step-by-step explanation:

5 divided by 2 equals 2.5

 GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:

Answers

Answer:

the given picture is not clear

find the area of the composite figure​

Answers

Answer:

74 in²

Step-by-step explanation:

The easiest way to find the area is to imagine the rectangle as a whole rectangle, then subtract the area of the empty space.

The area of the whole rectangle can be found with:

A = b · h

A = 9 in · 11 in

A = 99 in²

So the area of the entire rectangle (with the empty space included) is 99 in².

In order to find the area of the composite figure, you need to subtract the area of the empty space, which can be found with:

A = b · h

A = 5 in · h

In order to find the height of the empty space, we can take the whole side (11 in) and subtract the values already there (4 in and 2 in).

11 in - (4 in + 2 in) = 5 in

So the height is 5 in:

A = 5 in · 5 in

A = 25 in²

The area of the composite figure is:

A = 99 in² - 25 in²

A = 74 in²

Answer:

Answer:74 in^2

Step-by-step explanation:

My in-head skip solutioning method...:

the 4, 5__2,9___4,4,2__=10in.___5,4__=9in.

......__74

Factor the expression 4+28x using the GCF

Answers

Answer:

4(1+7x)

Step-by-step explanation:

There are 2 terms in this expression: Factorize them

4: 2 * 2

28x: 2 * 2 * 7 * [tex]x[/tex]

Which factors do both of the terms have in common?

2 and 2, which means that the GCF is 4.

Now to figure out whats inside the parentheses.

What number multiplied by 4 gives 4? 1

What number multiplied by 28x gives 4? 7x

So the final result is 4(1+7x)


Felipe received a $15.25 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars), on the card after
buying x prints is given by the following
B = 15.25 -0.06x
What is the remaining balance on the card if Felipe bought 50 prints?


Can anyone help me ?

Answers

Answer:

12.25

Step-by-step explanation:

B = 15.25 -0.06x

B = 15.25 -0.06(50)

B = 12.25

The answer is 254.16 is just 15.25 divided by 0.06

Solve the equation. y 3 = –y 9 y = 1 y = 3 y = 6 y = 9

Answers

The solution of the equation is y = 3.

What is the linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

The solution to the equation is;

[tex]\rm y + 3 = -y + 9\\\\y+y=9-3\\\\2y=6\\\\y=\dfrac{6}{2}\\\\y=3[/tex]

Hence, the solution of the equation is y = 3.

To know more about linear equations click the link given below.

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What is 11 in x 17 in (7.7 in x 23) in

Answers

33117.7 in is the answer I believe…

Answer:

33117.7

Step-by-step explanation:

33117.7 is the perfect answer

can you answer it pls and by the way i am in 5th grade

Answers

Step-by-step explanation:

3×3 = 9, so it's greater than 3

3×4/3 = 4, so it's greater than 3

3×5/5 = 3, so it's equal to 3

3x4/9 = 4/3, so it's less than 3

3x5/6 = 5/2, so it's less than 3

The is a picture show all details and work
(triangles)

Answers

Answer:

x: 8.75

y: 8.5

Step-by-step explanation:

Since the two triangles are similar, you can find the scale of LJK relevant to TRS by dividing 7/4 = 1.75

This means each side of LJK is 1.75 times greater than the respective side of TRS

Now you can plug this in to the other two sides by doing 5*1.75=8.75 and 6*1.75=10.5

This solves x, but since side LK is y+2, y is 10.5-2=8.5

x=8.75

y=8.5

I NEED THIS ASAP
five doctors are selected at random from a hospital employing 27 doctors to fill out a question

*WILL GIVE BRAINLIEST

Answers

Answer:

See below

Step-by-step explanation:

There are   27 C 5 ways to choose 5 doctors from 27

             = 27 ! /(22!  5!)  = 80730 ways to choose 5

This is a COMBINATION.

Answer: Combination

Step-by-step explanation: It has no order of selection. It is random and can't be paired like permutation.

Compare with another response

pls help answer
i dont not need explaination
:)

Answers

Answer:

165 km²

Step-by-step explanation:

First, let us find the area of the big rectangle.

Area = length × Width

Area = 15km × 13 km

Area = 195 km²

Now, let us find the area of the small rectangle.

Area = length × width

Area = 6 km × 5 km

Area = 30 km²

And now, let us find the area of the shaded region.

For that, we have to subtract the area of the small rectangle from the area of the big rectangle.

Area = 195 km² - 30 km²

Area = 165 km²

par
-
129
2 A stew recipe calls for 3.75 pounds of meat. Jack wants to make 5 batches of stew.
How many pounds of meat does he need? Show your work.

Answers

Answer:

18.75 pounds

Step-by-step explanation:

3.75 pounds per 5 batches

batch 1 :    3.75                                                                 7.5

add them +                                                                    +  7.5

batch 2:  3.75                                                                =   15

              =                                                                          +3.75

                7.5                                                                  = 18.75

                                                                                 hope this helped

batch 3:  3.75

add them +

batch 4  3.75

              =  7.5

                 

    batch 5  3.75

The triangles are similar. Find the value of x.

Answers

Answer:

x = 36

Step-by-step explanation:

Remark

This can be done as a proportion. A proportion consists of 2 ratios which means it has 4 parts. If you know three of them, you can solve for the 4th.

We can use the following proportion

42/14 = x / 12    Notice that both ratios have tops and bottoms that use corresponding parts. Cross Multiply

14*x = 42 * 12            Combine the right

14x  = 504                 Divide by 14

x = 504/14

x = 36

GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:

Answers

Answer:

30

Step-by-step explanation:

Perimeter of parallelogram = 70 ft

-> 2x + 2y = 70 .....(1)

x = 6y (Given) .....(2)

From equations (1) & (2)

2(6y) + 2y = 70

12y + 2y = 70

14y = 70

y = 70/14

y = 5

-> x = 6*5

-> x =30

This shape is called parallelogram.

perimeter : 2(base + height)

Identify the base and height

base : x ≈ 6(y)                                          [ as x is 6 times as large as y ]

height : y

====================================

2(base + height) = perimeter2(6(y) + y) = 70 2(7y) = 707y = 35                                             [ divide both sides by 7 ]y = 5

Find x:

x ≈  6(y)x ≈ 6(5)x =  30

40x40x40 divided by 6 Help me pls

Answers

Answer:

the answer is 10666.6666667.

Step-by-step explanation:

40*40*40=64000

64000/ 6=10666.6666667

Half of the product of two consecutive numbers is 105. which equation can be used to solve for n, the smaller of the two numbers? n2 n – 210 = 0 n2 n – 105 = 0 2n2 2n 210 = 0 2n2 2n 105 = 0

Answers

The equation that can be used to solve for n, the smaller of the two numbers would be n² + n - 210 = 0.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

If we use n to be the smaller number of two integer numbers, then the next consecutive number is n + 1.

The product of those two numbers would become n × (n + 1) = n (n + 1).

Half of that product is n (n + 1) / 2.

And the question states that the equation is equal to 105, so the equation becomes,

n (n + 1) / 2 = 105

Now we have to simplify that equation until we get an expression equal to one of the choices,

Multiply both sides by 2

n (n + 1) = 210

n² + n = 210

Subtract 210 from both sides

n² + n - 210 = 0

Thus, the equation formed is the quadratic equation.

Learn more about quadratic equations;

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Answer:

n² + n - 210 = 0 is your answer! hope it helps!

Step-by-step explanation:

Please help
I need the lateral surface area

Answers

Answer:

[tex]la = 588 \: \: {cm}^{2} [/tex]

Step-by-step explanation:

Lateral area for trapezoidal prism:

- Is the sum of all the areas excluding the base area.

la - Lateral area

[tex]a = 20\\ b = 10 \\ c = 10 \\ d = 9 \\ l = 12[/tex]

[tex]la = al + \: bl + \: cl + \: dl[/tex]

[tex]la = l(a + \: b + \: c + \: d)[/tex]

[tex]la = 12(20 + 10 + 10 + 9)[/tex]

[tex]la = 588 \: \: {cm}^{2} [/tex]

CAN SOMEONE PLEASE HELP ME WITH THIS!! IMAGE BELOW
ILL GIVE YOU BRAINLIST ANSWER

Answers

Measure of hypotenuse is always larger than measure of the legs, or two ends of the legs always connect to form a hypotenuse, or hypotenuse is always a^2=b^2+c2
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