Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to verify your prediction.)
y = 0.3 x squared minus 5

a.
Upward facing parabola-shaped; y-intercept (5, 0); symmetrical with respect to the y-axis
b.
Downward facing parabola-shaped; y-intercept (0, -5); symmetrical with respect to the y-axis
c.
Upward facing parabola-shaped; y-intercept (0, -5); symmetrical with respect to the y-axis
d.
Downward facing parabola-shaped; y-intercept (5, 0); symmetrical with respect to the y-axis

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Work Shown:

Let's make each of those unlabeled angles be angle y.

We have two copies of y, since the arcs are the same (meaning they are congruent angles) and 44 as well.

The three interior angles of any triangle add to 180

44+y+y = 180

2y+44 = 180

2y = 180-44 ... subtracting 44 from both sides

2y = 136

y = 136/2 ... divide both sides by 2

y = 68

Once we know y, we can find x

x+y = 180 ... since the adjacent angles form a straight line

x+68 = 180

x = 180-68 ... subtract 68 from both sides

x = 112

Answer:

2[tex]\sqrt{3}[/tex] or ~3.464

Step-by-step explanation:

We see that the triangle ABC has an angle of 90° and 45°, so 90+45 is 135, and 180-135 is 45° which is a special triangle. The hypotenuse is k[tex]\sqrt{2}[/tex] and we know that k is 6 so the other side lengths are 6 since they are just k. Now the triangle CBD hares a side so it is 6 and the angles are  60° and 90° so the last angle is 30° which is another special triangle. Since the side length is 6 and it equals  [tex]\frac{\sqrt{3} }{2}[/tex]k. We divide 6 by [tex]\frac{\sqrt{3} }{2}[/tex] and we get 4[tex]\sqrt{3}[/tex] which is the value of k or the hypotenuse. To find x, we multiply k by 1/2 or divide it by 2. Dividing 4[tex]\sqrt{3}[/tex] by 2 gives us 2[tex]\sqrt{3}[/tex] which is x. If the question wants the exact number, then it is 3.464, otherwise, just put 2[tex]\sqrt{3}[/tex]. Hope this helps! (I'm not a bot btw)

Answer: d: -2,2

Step-by-step explanation:

The coordinates of W' after the rotation and the translation is (-2, 2).

Option D is the correct answer.

We have,

The rule for a rotation by 270° about the origin.

(x, y) → (y, −x)

Now,

W = (-4, -3)

Applying the rule.

W = (-3, 4)

Now,

A translation of 2 units down and 1 unit to the right.​

So,

W = (-3, 4)

W = (-3 + 1, 4 - 2)

W = (-2, 2)

Thus,

The coordinates of W' after the rotation and the translation is (-2, 2).

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Answer:

4 times greater

Step-by-step explanation:

Answer: 65 = 1 x 65 or 5 x 13. Factors of 65: 1, 5, 13, 65. Prime factorization: 65 = 5 x 13.

Step-by-step explanation:

Answer:

Primary data when the researcher collect the information like census by government . And secondary data means when like an entrepreneur take the census data from the government and collect more information .

Answer:

Distributive Property

Step-by-step explanation:

2(x+4) = 2x + 8

2x + 2(4) = 2x + 8

2x + 8 = 2x + 8

Henceforth, distributive property

Answer: The Distributive Property

Step-by-step explanation:

By working with the exponential function, we will see that:

We know that the population of the cell doubles every four hours, then we can write:

y = 50*(2)^x

Where x is time in lapses of 4 hours, and 50 is the initial population of the cell.

In one day, there are 6 groups of 4 hours, then after one day we have:

In two days, there are 12 groups of 4 hours, then after two days we have:

In 3 days, there are 18 groups of 4 hours, then after 3 days there are:

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Answer:  (8x8=64) (64÷8=8) (8+7=15)

Step-by-step explanation:

Answer:

68.9

Step-by-step explanation:

When rounding to 1 decimal place look at the 2nd decimal. If it is 5 or larger than you round the 1st decimal up by 1, however if it is 4 or lower you leave it.

Answer:

(-8,6)

Step-by-step explanation:

rotating 180 degrees: x and y coordinates change signs

After rotating the point(8, -6) 180 counterclockwise it will become (-8,6).

A point's coordinates are a pair of integers that pinpoint where it is precisely on a two-dimensional plane. Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane. A particular point's coordinates show how far along each axis it is situated.

Given a point (8,-6) after rotating it counterclockwise 180°. A' is formed when our point A(x,y) rotates 180 degrees counterclockwise around the origin (-x,-y). As a consequence, we just make both x and y negative.

Therefore new coordinates of the point will be (-8,6). For better understanding, I am attaching two graphs.

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Answer:

True statements

Additional information

Closed circle:  ≤ or ≥

Open circle:  < or >

Answer:

accuracy- the quality of state of being correct or precise

add decimals- write the numbers in a column, and make sure that the decimal points are aligned.

Answer/Step-by-step explanation:

 Refer to picture below:

Answer:

There is no solution.

Step-by-step explanation:

1 ≠ 3

Answer:

x=3, 8

Step-by-step explanation:

x²-11x+24=0 can be factored to

(x-3)(x-8)=0

3-3=0

8-8=0

So, x can be 3, 8

Answer:

Piece1:  12.7 meters

Piece2:  39.9 meters

Product of the two to nearest tenth: 506.7

Step-by-step explanation:

Piece1:   x

Piece2:  x + 27.2

x + x + 27.2 = 52.6

2x + 27.2 = 52.6

2x = 25.4

x = 12.7

Piece1:   12.7

Piece2:  12.7 + 27.2 = 39.9

Product of the two pieces:

12.7 * 39.9 = 506.73

Answer:

[tex]20 \times ( {3}^{2} - 4) \div 50 \\ = 20 \times (9 - 4) \div 50 \\ = 20 \times 5 \div 50 \\ = 100 \div 50 \\ = 2[/tex]

Answer:

(3,0)

Step-by-step explanation:

We know the line will Pss through

(-2,5) and (2,1) so

let find the slope

[tex] \frac{1 - 5}{2 - ( - 2)} = \frac{ - 4}{4} = - 1[/tex]

So the slope is -1.

We know it passes through 2,1 so use point slope to find b.

[tex]y - 1 = - 1(x - 2)[/tex]

[tex]y - 1 = - x + 2[/tex]

[tex]y = - x + 3[/tex]

Set that equal to

[tex] {x}^{2} - 2x - y = 3[/tex]

[tex] {x}^{2} - 2x - 3 = y[/tex]

[tex] {x}^{2} - 2x - 3 = - x + 3[/tex]

[tex] {x}^{2} - x - 6 = 0[/tex]

[tex](x - 3)(x + 2) = 0[/tex]

[tex]x = 3[/tex]

Point (3,0).

Answer:

the slope intercept form of this line is y = -4x + 9.

Step-by-step explanation:

The equation of line is given by:

y = mx + b          .....[1]

where,

m is the slope of line

b is the y-intercept.

As per the statement:

Given: The rate of change = -4

Substitute in [1] we have;

y = -4x + b

Substitute the values of  any (x, y) from the given table.

Let x = -1 and y = 13

then;

13 = -4(1-)+b

⇒13 = 4+b

Subtract 4 from both sides we have;

9 = b

or

b = 9

⇒the equation become, y = -4x+9

Therefore, the slope-intercept form of this line is,  y = -4x+9

Answer:

Step-by-step explanation:

Given that the  function is  f(x)=1.6x+15,

we can see that the function corresponds to the equation of a straight line

that y=mx+c      

now comparing this function with the equation of a straight line

 f(x)=1.6x+15

  y=mx+c      

we can see that

x represents the number of golf balls in the package

15 is constant c which is the weight of the package used in the shipping

Answer: 144

Step-by-step explanation:

We know that we have to start with parenthesis first and complete that operation first. So 9+3=12. Now we are left with 12(12) which simply means 12 times 12 which is 144.

1. 761/24

2. I don’t understand either u change it to an mix number or it’s already simplified.

Answer:

heres your answer (this is my first time answering)

Step-by-step explanation:

(0,7) and (2,4)=-3/2

(1,-3) and (-1,-3)=zero

(-1,3) and (-1.-3)=No slope

(0,0) and (2,1)=1/2

(0,-1) and (2.-5)=-2

Slope of a line = (y₂-y₁)/(x₂-x₁)

The slope formula is (y₂-y₁)/(x₂-x₁)

For (0,7) and (2,4)

Slope=4-7/2=-3/2

For (1,-3) and (-1,-3)

Slope=-3+3/-2=zero

For (-1,3) and (-1.-3)

Slope=-3-3/-1+1=No slope

For (0,0) and (2,1)

Slope=1/2

For (0,-1) and (2.-5)

Slope=-5+1/2=-2

Hence we matched with respective slope to equations.

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The number of teams and matches in the soccer league illustrates permutation and combination

There are 12 teams in the soccer league in the first season

The number of teams in the soccer league is given as n.

So, the total number of matches played in a season is:

Matches = n(n-1)/2

When the number of teams increases by 2, we have:

Matches = (n + 2)(n + 2 -1)/2

Also, the number of matches increases by 27.5%.

So, we have:

Matches = n(n-1)/2 * (1 + 27.5%)

Equate both equations

[tex]\frac{(n + 2)(n + 2 -1)}{2} = \frac{n(n-1)}{2} * (1 + 27.5\%)[/tex]

Simplify

[tex]\frac{(n + 2)(n + 1)}{2} = \frac{n(n-1)}{2} * (1.275)[/tex]

Multiply through by 2

[tex](n + 2)(n + 1) = n(n-1) * (1.275)[/tex]

Expand

[tex]n^2 + 3n + 2 = 1.275n^2 - 1.275[/tex]

Collect like terms

[tex]n^2 -1.275n^2+ 3n + 2 +1.275 = 0[/tex]

Evaluate the like terms

[tex]-0.275n^2+ 3n + 3.275 = 0[/tex]

Using a graphing calculator, we have:

n = -1 or n = 11.909

n cannot be negative.

So, we have:

n = 11.909

Approximate

n = 12

Hence, there are 12 teams in the soccer league in the first season

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Answer:

45

Step-by-step explanation:

5/9 of 81 is ((81/9)*5), which is (9*5), which is 45. So 45 picked up the garden tools.

Answer:

the picture won't show up

Step-by-step explanation:

Answer:

y = x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 3 ) and (x₂, y₂ ) = (7, 8 )

m = [tex]\frac{8-(-3)}{7-(-4)}[/tex] = [tex]\frac{8+3}{7+4}[/tex] = [tex]\frac{11}{11}[/tex] = 1 , then

y = x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (7, 8 ) , then

8 = 7 + c ⇒ c = 8 - 7 = 1

y = x + 1 ← equation of line

Answer:

-2 is your awnser

Step-by-step explanation:

I hope this helps out.