Re-write the quadratic function below in Standard Form
y = -(x - 1)^2 + 4

Tip: Go step-by-step

Let the number = x

Eight times the difference between a number and seven.. = 8(x-7)

is the same as... =

the number increased by 4.. x+4

8(x-7)=x+4

Distribute

8x-56=x+4

Subtract x from both sides

7x-56=4

Add 56 to both sides

7x=60

x=60/7

Answer:

8 minutes, 30 seconds, by the look of the graph.

Step-by-step explanation:

At a distance of 10 inches, 1 minute has passed.

So multiply that by 8.5, and you have 85 inches travelled over 8 minutes, 30 seconds.

8mins and some 30secs according to the graph

Answer:

$44.04

Step-by-step explanation:

let 3 be the number of people and 14.68 the person owes

3*14.68 = 44.04

When you compare two or more data sets, focus on four features:

Center. Graphically, the center of a distribution is the point where about half of the observations are on either side.

Spread. The spread of a distribution refers to the variability of the data. ...

Shape. ...

Unusual features.

Answer:

Common graphical displays (e.g., dotplots, boxplots, stemplots, bar charts) can be effective tools for comparing data from two or more data sets.

Step-by-step explanation:

MARK ME AS A BRAINLIST PLZ

Answer:

jjejejkwkwkqkkqkqkqkkqkqkq

9514 1404 393

Answer:

  (a) x = 22

  (b) 46°

  (c) 44°

  (d) 180°

Step-by-step explanation:

Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.

The sum of the marked acute angles is 90°.

  2x +(3x -20) = 90

  5x = 110 . . . . . . . . . . add 20, collect terms

  x = 22 . . . . . . . . . divide by 5

__

∠CBA = (3x -20)° = (3·22 -20)° = 46°

__

∠CAB = 2x° = 2(22)° = 44°

__

The sum of a triangle's interior angles is 180°.

Answer:

Cam

Step-by-step explanation:

Cam first multiplied both sides by 3 which removed the fraction on the left. They then correctly added 5 to both sides to get x on its own.

Hope this helps!

Answer:

I would say if your lucky 6/20 but if not 4/10

Answer:

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

Step-by-step explanation:

(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)

(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)

−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]

Opening the brackets,

[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]

Opening the next brackets,

[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]

So,

[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]

Hence, the product is,

[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]

Answer:

Sorry if it’s wrong. But I think the answer is: -3

Step-by-step explanation:

Formula:

E= x1 + a/b (x2 -x1)

E=-9 + 3/8(7+9)

E= -9 + 3/8(16)

E= -9 + 6

E= -3

The location of point E will be at negative  3. Then the correct option is C.

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The information is given below.

CE / CD = 3 / 8

CE / ED = 3 / 5 = m / n

Then the location of the point E will be

x = [3 × (7) + 5 × (-9)] / (3 + 5)

x = (21 - 45) / 8

x = - 24 / 8

x = -3

Thus, the location of point E will be at negative  3. Then the correct option is C.

More about the section of the line link is given below.

https://brainly.com/question/6582647

Answer:

Step-by-step explanation:

Simplify the left side:

Compare with the right side:

Answer:

$4884 to the nearest $.

Step-by-step explanation:

By proportion it is  2275 *  (23*28) / (15*20)

= $4884

Answer:quadrupled

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

Answer:

confirm is the correct answer

Plz mark as Brainliest

Answer:

x= 62

Step-by-step explanation:

brainliest please

Based on the information given, the length of fabric that's needed will be 288 inches.

From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:

= 72 inches × 4

= 288 inches.

Therefore, the length of fabric that's needed will be 288 inches.

Read related link on:

https://brainly.com/question/24429956

Answer:

The answer is x^2 + 3^2

Step-by-step explanation:

Answer:

answer ::::: x^2 + 6x + 9

Answer:

Carl shades the 4s row in the multiplication table.

Step-by-step explanation:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48. This is the pattern 4, 8, 2, 6, 0, 4, 8, 2, 6, etc.

Answer: $3.75

Step-by-step explanation: $15x15=225/60= 3.75

Our material handling cost is $3.75.

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.

Material handlers make $15 per hour

If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4

The cost per process is 15/4 =3.75.

Learn more about cost here- brainly.com/question/25233348

#SPJ2

Answer:

I believe a is -14

Step-by-step explanation:

its -14 because if it is in the exact same spot below water, think of the water as point 0. the bird is 14 and the fish is -14. Hope this helped

Answer:

2.5

Step-by-step explanation:

By Pythagoras theorem,

Hypotenuse = √( 4^2 + 3^2 )

                     = √( 16 + 9 )

                     = √25

Hypotenuse = 5

4 / 2 = 5 / x

2 = 5 / x

x = 5 / 2

x = 2.5

2&3

Step-by-step explanation:

You have to factorise the second equation and you have to solve it. so you have x²-2x-3x+6

x(x-2)-3(x-2)

(x-2)(x-3)=0

Then you have to find x for each equation.

x-2=0

x=2

x-3=0

x=3

So the restricions are 2&3.

For your question you can try option #3

Answer:

72 acorns.

Step-by-step explanation:

9 (acorns per pile)

             *

       8 (piles)

Answer:

9x8=72 making the answer 72 acorns in total.

Answer:

The answer would be 44

Step-by-step explanation:

First, you have to simplify the improper fraction, that would make the it a mixed number which would be 3 2/3. When 3 2/3 is multiplied by 12 is 44. Hope this helps!

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

[tex]\frac{-7}{2(1)} =\frac{-7}{2}[/tex]

Vertex:

[tex]y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}[/tex]

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

[tex]y= 0^{2} +7(0) -8\\\\y= -8\\[/tex]

Answers:

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

Explanations:

The absolute maximum occurs at the highest point. Specifically, it's the largest y output possible. In this case, it's y = 4.

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To determine the value of f(-3), we draw a vertical line through -3 on the x axis. Mark where this vertical line crosses the curve. Let's say its point P. From point P, draw a horizontal line until you reach the y axis. You should arrive at y = -2. Therefore, f(-3) = -2.

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The absolute min is similar to the absolute max, but now we're looking at the lowest y output possible. No such y value exists because the curve goes on forever downward.

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The range is the set of all possible y outputs. The range in compound inequality notation is [tex]-\infty < y \le 4[/tex] indicating y can be anything between negative infinity and 4. We can include 4. The range in interval notation is [tex](-\infty, 4][/tex]. Note the use of the square bracket so that we include the 4.

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The domain is the set of x inputs possible. The smallest such input allowed is x = -4. There is no largest input because the graph goes on forever to the right. The domain is any x value such that [tex]-4 \le x < \infty[/tex] which condenses to the interval notation [tex][-4, \infty)[/tex]

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This is a function because we cannot draw a single vertical line through more than one point on this curve; hence, this graph passes the vertical line test.

Put another way, any x input in the domain leads to exactly one and only one y output. This is a nonvisual way to prove we have a function.

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A relative maximum occurs at any peak or mountain region. It is relatively the highest point in the neighborhood/region of points. There's one such mountain peak and it's at (1,2). We can think of this as a vertex of sorts for an upside down parabola. So the relative max is y = 2 because we're only concerned with the y value.

Note: y = 4 is not a relative max because there aren't any points to the left of that endpoint. A relative extrema must have points to the left and right of it for it to be a valid neighborhood.

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Imagine this curve represents a roller coaster. As we move to the right, going uphill on this curve is an increasing section. That would be the interval from x = -2 to x = 1. So we'd say -2 < x < 1 which condenses to the interval notation (-2, 1). This is not to be confused with ordered pair (x,y) notation.

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Now we consider when we move downhill when we move to the right. This occurs on the intervals [tex]-\infty < x < -2[/tex] and also [tex]1 < x < \infty[/tex]. We don't include any of the endpoints. This is because at x = -2 and x = 1, the cart is neither moving uphill nor downhill. These locations are stationary resting points so to speak.

Those two inequalities mentioned convert to the interval notations [tex](-\infty, -2)[/tex] and [tex](1, \infty)[/tex] in that order.

Once we determined those separated disjoint regions, we glue them together with the use of the union symbol U.

Our answer for this part would be [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]. Any point in this collective region will be moving downhill when moving left to right.

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This is similar to a relative maximum, but this time we're looking at the lowest valley point of a certain neighborhood. This is at (-2,-4). Therefore, the relative min is y = -4.

Answer:

8

Step-by-step explanation:

rectangle length is 2-3w

w=2

3 x 2=6 - 2=4

l x w

4 x 2 =8