What is the vertex of f(x) = 3(x+2)^2 -1

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:

y=5x-8

Step-by-step explanation:

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

Answer:

-6

Step-by-step explanation:

is that quizzes join lol

Answer:

y=-2x+7

Step-by-step explanation:

Please gimme brainliest!!

Answer:

y-3=-2(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-2(x-2)

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:

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:

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.

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:

measurement square meter

Step-by-step explanation:

thats good answer

sana po makatulong po sa inyo

po....................

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:

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

Answer:

D. 35x-35y+21

Step-by-step explanation:

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:

Step-by-step explanation:

blue=sin x

red= sin(x-2)

green= sin x+sin(x-2)

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].

To know more about the slope of line

https://brainly.com/question/12203383

#SPJ2

First of all, x cannot ever equal -1 because if it does then in the original equation you'd be dividing by 0, which is not possible. anything divided by 0 is undefined.

I think the error was in the second step: x(x+1) = 2(x+1) because they didn't need to go from the first step to there. I'm assuming they multiplied both sides of the equation with (x+1) to get rid of the fraction, but since both sides have (x+1) as the denominator the (x+1) would've cancelled out instead of multiplying with the numerator.

Correction:

[tex]\frac{x}{x+1} = \frac{2}{x+1}\\(\frac{x+1}{1}) (\frac{x}{x+1}) = (\frac{2}{x+1})(\frac{x+1}{1}) \\x = 2[/tex]

as u can see, in the second step of this correction, the (x+1)s on both sides cancel out so only the numerators remain.

Hope this helps!

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:

Step-by-step explanation:

Required inequality:

The graph is attached

Some combinations:

Howdy;)

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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:

21

Step-by-step explanation:

Answer: -69

Step-by-step explanation:

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:

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

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:

45 45 90 special triangle

7√2 = √98

x² + y² = 98

x = y

x² + x² = 98

2x² = 98

x² = 49

x = 7

y = 7

ANSWER: c

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

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:

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