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Correct equation is;

x³ - 7x² + 4x + 12 = 0

Answer:

All the real solutions are -1, 2 and 6

Step-by-step explanation:

The x-intercept of x³ - 7x² + 4x + 12 = 0 will occur where y is zero. This is where the curve crosses the x-axis on the graph of this function.

Now, I have plotted a graph of this function and attached it.

From the attached image, the curve crosses the x - axis at the points, x = -1, x = 2, x = 6.

Therefore all the real solutions are -1, 2 and 6

Answer:B

Step-by-step explanation:

B because 3 is still x answers are just flipped

Answer:

-6

Step-by-step explanation:

is that quizzes join lol

Answer:  125000000000

Step-by-step explanation:

Step-by-step explanation:

5,000 × 5,000 × 5,000

= 125,000,000,000

Answer:

Don't force her let her ease into maybe getting comfortable enough to talk to the boys. Give some encouraging words for moral support but don't push it and don't go on your own without her. There will be plenty of more times to talk to different boys. Hope you have a great party.

Answer:

720 miles

Step-by-step explanation:

let 'm' = # miles you can travel for $340

340 = 160 + .25m

180 = .25m

m = 180/.25

m = 720

Answer:

measurement square meter

Step-by-step explanation:

thats good answer

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Answer:

y³+16y²+60y

Step-by-step explanation:

Complete question

Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box

Let the length be x

Let the width be y

let the height be z

If the box is 10cm longer than it wide, then x = y + 10

Also if the height is 6 cm more than the width,

z = y + 6

Volume of the box = xyz

Substitute

Volume of the box = (y+10)(y)(y+6)

Volume of the box = (y+10)(y²+6y)

Volume of the box = y³+6y²+10y²+60y

Volume of the box =  y³+16y²+60y

Hence the required polynomial function is y³+16y²+60y

Note that the question asked was assumed

Step-by-step explanation:

Yes, the degree of the of the polynomial will tell how much roots it has.

A linear equation with degree has one root so it only has 1 possible answer.

A quadratic equation with the degree of 2 has two possible roots.

So write a polynomial equationcwith the highest degree of 9.

Answer:

2009

Step-by-step explanation:

2002+7

=2009

Answer:

58.3%

Step-by-step explanation:

Okay, so we know that there are 12 months in a year, and so we need to find what percent 7 is out of 12, so we divide:

7 ÷ 12 = 0.583

0.583 x 100 = 58.3

So, Andrew was on vacation for 58.3% of the year

Answer:

38 Miles Per Hour

Step-by-step explanation:

133 / 3.5 = 38

Answer:

He went 38 miles on one hour.

Step-by-step explanation:

You would do the equation 133/3.5

133/3.5 = 38

Answer:

21

Step-by-step explanation:

Answer: -69

Step-by-step explanation:

Answer:

x = 31

Step-by-step explanation:

The 3 angles in a triangle sum to 180°

Sum the 3 given angles and equate to 180

2x - 7 + 2x + 63 = 180, that is

4x + 56 = 180 ( subtract 56 from both sides )

4x = 124 ( divide both sides by 4 )

x = 31

Step-by-step explanation:

blue=sin x

red= sin(x-2)

green= sin x+sin(x-2)

Answer:

This function is an even-degree polynomial, so the ends go off in the same directions, just like every quadratic I've ever graphed. Since the leading coefficient of this even-degree polynomial is positive, the ends came in and left out the top of the picture, just like every positive quadratic you've ever graphed. All even-degree polynomials behave, on their ends, like quadratics.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the sum to n terms formula, then

S₁ = 1(3 - 4) = 1(- 1) = - 1 ⇒ a₁ = - 1

S₂ = 2(6 - 4) = 2(2) = 4, then

a₂ = S₂ - S₁ = 4 - (- 1) = 4 + 1 = 5

S₃ = 3(9 - 4) = 3(5) = 15, then

a₃ = S₃ - S₂ = 15 - 4 = 11

S₄ = 4(12 - 4) = 4(8) = 32 , then

a₄ = S₄ - S₃ = 32 - 15 = 17

S₅ = 5(15 - 4) = 5(11) = 55 , then

a₅ = S₅ - S₄ = 55 - 32 = 23

The first 5 terns of the series are

- 1, 5, 11, 17, 23

There is a common difference (d) between consecutive terms

d = 5 - (- 1) = 11 - 5 = 17 - 11 = 23 - 17 = 6

Thus the series is in arithmetic progression

The value of the function at x = -3 is -1

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

Given that a graph of y= f(x), we need to find f(-3)

The graph tells the value of y when x = -3 is -1

Hence, The value of the function at x = -3 is -1

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Answer: 588 centimeters

Answer:

C: 588 square centimeters

Step-by-step explanation:

A= 1/2(b)(h)

base: 42

height: 28

A = 1/2(42)(28)

A = 1/2(1176)

A = 588

Answer: y=7x-68

Step-by-step explanation: Ok so you would use point slope to slope so plug the points in.  y+30=7(x-4)  then if you need to convert it further into slope intercept form just simplify and distribute. So y+30=7x-28, subract 30 from both sides to get y=7x-68

Hence, the slope of line is [tex]y=7x-58[/tex].

What is the slope of line?

The slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] can be easily determined by finding the difference between the coordinates of the points.

The slope is usually represented by the letter ‘m’.

Here given that,

Slope is [tex]7[/tex] and the coordinates of [tex](x,y)=(4,-30)[/tex].

As we know slope of line is

[tex]y=mx+c[/tex]

where [tex]m[/tex] is the slope.

So,

[tex]y+30=7(x-4)[/tex]

Now convert it further into slope intercept form

[tex]y+30=7x-28\\\\y=7x-28-30\\\\y=7x-58[/tex]

Hence, the slope of line is [tex]y=7x-58[/tex].

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Answer:

y=5x-8

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer: -1/2

Step-by-step explanation:

V=2+(-5)*1/2

Answer:

V=u+at

=2+(-5)/0.5

= - 3/0.5

V=-6

Answer:

26 cm

Step-by-step explanation:

Answer:

26 cm!

If A extends to O which is half of the rectangle, and we need BD... We times AO by two to get BD. :)

Answer:

4

Step-by-step explanation:

2/3 for 1 jar | meaning that: 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 3/3 are left, and that makes another one (the 4th one).

Answer:

D. 35x-35y+21

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x+3  (-4x-2)=-6

remove the parenthesis

7x-12x-6=-6

-5x=0

x=0

How to solve your question- 7

Answer:

a) 240 km

b) 60 km in 1 hour

Answer:

A) It will take 4 hours to get to a distance of 240.

B) If we find the unit rate of 240 by 4, divide 240 by 4, which is 60.

Step-by-step explanation:

A) Look at the graph, you see the dot is left by 240 and down by 4. So it would take 4 hours to get to a distance of 240.

B) Like I said, we divide 240 by 4. Make sure to put 1 as the denominator, and divide the top and bottom by 4.

Answer:

20.125miles

Step-by-step explanation:

If Tim runs 2.3 miles in 11.2 minutes, then;

2.3 miles = 11.2mins

To determine Tim's distance if he runs 98mins;

x miles = 98min

Divide both equations

2.3/x = 11.2/98

11.2x = 2.3 * 98

11.2x = 225.4

x = 225.4/11.2

x = 20.125

Hence the must have ran 20.125miles

Answer:

1. y=ax^2+bx+c, where a,b, and c are real numbers and a doesn't equal zero

2. Parabola

3. Opens upward

4. Opens downward

5. Vertex

6. Axis of Symmetry

7. Zeros, roots, or x-intercepts

8. You are already given the function so

Step 1: FInd Axis of Symmetry

Equation for Axis of Symmetry: x= - b/2a

Step 2: Find Vertex

- The vertex will be on the Axis of Symmetry, so plug in x then find y.

Equation for Vertex: Ex. The vertex is (-5) which is x now we find y by plugging in -5 whenever we see an X. f(x) = -(-5)^2 - 10(-5)-25=0 our vertex would be (-5,0)

Step 3: Draw your coordinates plane and "dash in" the axis of symmetry. Then plot your vertex

Step 4: Plot your y-intercept and the point symmetrical to it. The y-intercept is "c"

Step 5: Find at least other point on the parabola and draw the curve.