A ball set that is sold for $79 is discounted %15 what is the sale price

The value of b is -3

Explanation:

The function is [tex]f(x)=\frac{1}{4} x^{2} +bx+10[/tex] and [tex]x=6[/tex]

The function is of the form [tex]y=a x^{2}+bx+c[/tex]

where [tex]a=\frac{1}{4}[/tex], [tex]b=b[/tex] and [tex]c=10[/tex]

Using the axis of symmetry formula, we can determine the value of b.

Thus, the axis of symmetry formula is given by,

[tex]x=\frac{-b}{2a}[/tex]

Substituting the values, we have,

[tex]6=-\frac{b}{2(\frac{1}{4}) }[/tex]

Multiplying the denominator, we get,

[tex]6=-\frac{b}{\frac{1}{2} }[/tex]

Dividing, we get,

[tex]6=-2b[/tex]

Dividing both sides by -2, we get,

[tex]-3=b[/tex]

Hence, the value of b is -3.

Answer:

-3

Step-by-step explanation:

Edge 2021

Answer:

X=-3

Step-by-step explanation:

Answer:

Measure of angle x = 74

Measure of angle y = 90

Step-by-step explanation:

The required measure of angle x in the triangle inscribed in the circle is 74°.

Following the given, there is a property of a circle that states that, the angle subtended through the endpoints of the longest chore of the circle(i.e. diameter) on the circumference of a circle is always 90°.
So, y = 90°
Now,
The measure of angle x is given as:
[tex]x + 90 + (180-148)/2 = 180[/tex]
x = 74

Thus, the requried measure of angle x in the triangle inscribed in the circle is 74°.

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Answer:

Step-by-step explanation:

eq. of line through (0,0) and (6,3)

[tex]slope=\frac{3-0}{6-0} =\frac{1}{2} \\y-0=\frac{1}{2} (x-0)\\y=\frac{1}{2}x\\when~x=2\\y=\frac{1}{2}*2=1[/tex]

Answer:

3x + 7y = 21

Step-by-step explanation:

We have value of two points (0,3) and (7,0)

First, let's find the slope of this line. The formula for slope is:

Change in y/Change in x or (y₂ - y₁)/(x₂-x₁)

Where x₁ = 0 x₂= 7 y₁ = 3 y₂ = 0

(y₂ - y₁)/(x₂-x₁)

= (0-3)/(7-0)

=-3/7

Now we can write the equation in point-slope form:

y-y₁ = m(x-x₁)

y - 3 = -3/7(x-0)

y-3=-3x/7

y=-3x/7 + 3

Now let's convert this to standard form, by making the y-intercept by itself:

Ax + By = C

y=-3x/7 + 3

Multiply through by 7

7(y) = 7(-3x/7) + 7(3)

7y = -3x + 21

3x + 7y = 21

Answer:  The Area of this shape is 32.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area = 1/2 ×(a+b)h

a = 4, b = 12, h = 4

Area = 1/2 × (4+12)4

Area = 2(16)

Area = 32square unit

Answer:

117 and 123.

Step-by-step explanation:

If the 2 numbers are x and y we have the system of equations:

x - y = 6

xy = 14391

From the first equation y = X - 6  so substituting:

x(x - 6) = 14391

x^2 - 6x= 14391

x^2 - 6x - 14391 = 0

The prime factors of -13491  are -3*3*3*13*41

Now  3*3*13 = 117 and -3 * 41 = -123,

so the factors are:

(x - 123)(x + 117) = 0.

x = 123, -117.

As x is a whole number we take the positive value 123.

So x = 123  and y = 123 - 6 = 117.

Answer:

x = (-7)/5

Step-by-step explanation:

Solve for x:

3 (x - 6) - 8 x = 5 (2 x + 1) - 2

3 (x - 6) = 3 x - 18:

3 x - 18 - 8 x = 5 (2 x + 1) - 2

Grouping like terms, 3 x - 8 x - 18 = (3 x - 8 x) - 18:

(3 x - 8 x) - 18 = 5 (2 x + 1) - 2

3 x - 8 x = -5 x:

-5 x - 18 = 5 (2 x + 1) - 2

5 (2 x + 1) = 10 x + 5:

-5 x - 18 = 10 x + 5 - 2

Add like terms. 5 - 2 = 3:

-5 x - 18 = 10 x + 3

Subtract 10 x from both sides:

(-5 x - 10 x) - 18 = (10 x - 10 x) + 3

-5 x - 10 x = -15 x:

-15 x - 18 = (10 x - 10 x) + 3

10 x - 10 x = 0:

-15 x - 18 = 3

Add 18 to both sides:

(18 - 18) - 15 x = 18 + 3

18 - 18 = 0:

-15 x = 3 + 18

3 + 18 = 21:

-15 x = 21

Divide both sides of -15 x = 21 by -15:

(-15 x)/(-15) = 21/(-15)

(-15)/(-15) = 1:

x = 21/(-15)

The gcd of 21 and -15 is 3, so 21/(-15) = (3×7)/(3 (-5)) = 3/3×7/(-5) = 7/(-5):

x = 7/(-5)

Multiply numerator and denominator of 7/(-5) by -1:

Answer: x = (-7)/5

Answer:

12² + 16² = 144 + 256 = 400 = 20²

So a triangle with side lengths of 12 in., 16 in., and 24 in. is not a right triangle.

The correct answer is False.

Answer:

$99.10

Step-by-step explanation:

Answer:

$99.10

Step-by-step explanation:

you would divide the $148.65 by the 3 days and get $49.55. then you would multiply that by the 2 and get your awnser.

Answer:

d

Step-by-step explanation:

Answer:

Length = 30√2 yards.

Step-by-step explanation:

There is a plot of land of square shape that has 30 yards on each side. Jules owns this plot. He plans to divide the land in half by building a fence along the diagonal of the plot.

We have to calculate the length of the fence.

Now, the length of the diagonal will be the length of the fence.

So, the length = [tex]\sqrt{30^{2} + 30^{2}} = 30\sqrt{2}[/tex] yards. (Answer)

Answer:

C. 30√2 yd

Step-by-step explanation:

Answer:

3.08    i turned it to a decimal

Step-by-step explanation:

2 3/4= 2.75

1/3=.33 and add them to get 3.08

in fraction form it is 3 1/12

Answer:

3

Step-by-step explanation:

Given 2 3/4 + 1/3

First change the mixed fraction to improper fraction .

That’s 2 2/3 becomes 8/3. Multiply the denominator 3 by the whole number 2 and then add it the numerator 3.

Now we have 8/3 + 1/3 .

We look for the lowest common multiple LCM of the denominators of the fractions.

The LCM is = 3

Now divide the denominator of each fraction by the LCM 3 and multiply the result by the numerator.

We have 8 + 1 /3 .

Everything divided by the LCM.

8 + 1 /3

9/3

3/1

3

Answer:

124 plants

Step-by-step explanation:

7.25*4.25=30.8125

30.8125*4=123.25

Since you can't buy 1/4 of a plant, you must round up to 124.

infinity numbers above 12

The inequality x > 12 has infinitely many solutions as it represents all numbers greater than 12 without any upper limit.

The inequality x > 12 actually has infinitely many solutions, since any number greater than 12 satisfies the inequality condition.

In mathematics, inequalities that do not contain restrictions other than the comparative operator (in this case, '>') have a set of solutions that can be represented on a number line extending infinitely in one direction.

For example, if x > 12, then numbers such as 13, 14.5, 100, and 1234 are all solutions.

This can be visualized on a graph where x > 12 would be shown as an open interval starting from 12 and extending to the right toward infinity.

43.6% of the  area of lakes in north america is occupied by Lake superior and 13.6% of the area of lakes in north america is occupied by Lake Michigan.

Explanation:

The response to the riddle " why did the school cook become a history teacher" is  she was a expert in Acient grease

What is the riddle?

The riddle is based on history, and it should be noted that in term of history, ancient grease can not be underestimated because they have been existing since time past.

The city-states of ancient Greece were autonomous, however occasionally some would join alliances and hegemonies and serve a more powerful city. Greece was merely a small component of Alexander the Great's empire when it was founded—albeit for a very short time.

Yo sup??

This question can be solved by multiplying the numerator and denominator by 3^1/2

and the answer u will get will be

5*3^1/2-6^1/2)/3

Hope this helps

The ordered pair is (-2, -3)

Step-by-step explanation:

(-3, -2) ⇒ 7 × -3 - 5 × -2 = -21 + 10 = -11 ≠ 1

(-2, -3) ⇒ 7 × -2 - 5 × -3 = -14 + 15 = 1

(0, 4) ⇒ 0 - 5 × 4 = 20 ≠ 1

(4, 0) ⇒ 7 × 4 - 0 = 28 ≠ 1

So the ordered pair is (-2, -3)

The ordered pair that is a solution to the equation 7x-5y=1 is option B, (-2,-3), as it is the only pair that satisfies the equation when the values are substituted.

The question asks which ordered pair is a solution to the equation 7x-5y=1. To find the solution, we simply substitute the x and y values from each ordered pair into the equation and see which pair satisfies the equation.

So, the ordered pair that is a solution to the equation is option B, (-2,-3).

Answer:

vertex = (9, - 1 )

Step-by-step explanation:

Given a quadratic in standard form, y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 18x + 80 ← is in standard form

with a = 1 and b = - 18, thus

[tex]x_{vertex}[/tex] = - [tex]\frac{-18}{2}[/tex] = 9

Substitute x = 9 into the function for corresponding value of y

y = 9² - 18(9) + 80 = 81 - 162 + 80 = - 1

Vertex = (9, - 1 )

Answer012345

Step-by-step explanation:

Answer:

12. Pentagon

13. The cross-section will have one pair of parallel sides and one pair of sides that are not parallel along with two opposite triangular faces.

Answer:

The correct option would be option D.) The retailer sent the customer a check for $12.50 directly.

Step-by-step explanation:

A customer bought an item from a retailer and eventually received a $12.50

rebate check in the mail after sending in a rebate form.

The transaction that occurred would be

D.)The retailer sent the customer a check for $12.50 directly

Answer:

the manufacturer of the item sent the customer a check for 12.50 directly.

Step-by-step explanation:

The right answer is Option C.

Step-by-step explanation:

Given,

Area of post it note = A square inches

Width of post it note = 4 inches

Length of post it note = X

We know that;

Area = Length * Width

[tex]A=X*4\\A=4X[/tex]

As we have to find length, we will divide both sides by 4

[tex]\frac{A}{4}=\frac{4X}{4}\\\\\frac{A}{4}=X\\\\X=\frac{A}{4}[/tex]

The equation [tex]X=\frac{A}{4}[/tex] represents the length of post it notes in inches.

The right answer is Option C.

Keywords: area, multiplication

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Answer:

58.5%

Step-by-step explanation:

Sales tax in Ontario = 13%

If you paid $450 on food

Tax = 13%/100% x 450

= 0.13 x 450

=58.5%

Final answer:

To find out how many children like each drink in a year group of 60 pupils, calculate each fraction of the total. 45 pupils like Coke, 12 pupils like Sprite, and 18 pupils like Tango.

Explanation:

In a year group of 60 pupils, to find out how many children like each drink, you need to calculate the fractions of the total number of pupils.

Therefore, 45 pupils like Coke, 12 pupils like Sprite, and 18 pupils like Tango.

Final answer:

45 children like Coke, 12 children like Sprite, and 18 children like Tango.

Explanation:

To find out how many children like each drink, we can use the given fractions and the total number of children in the year group.

Let's calculate the number of children who like Coke:

Total children in the year group = 60

Fraction who like Coke = 3/4

Number of children who like Coke = (3/4) x 60 = 45

Similarly, we can calculate the number of children who like Sprite and Tango:

Fraction who like Sprite = 1/5

Number of children who like Sprite = (1/5) x 60 = 12

Fraction who like Tango = 3/10

Number of children who like Tango = (3/10) x 60 = 18

Therefore, 45 children like Coke, 12 children like Sprite, and 18 children like Tango.

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.                                          

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

[tex]y = 300 - 4x -x^2[/tex]

where y is  the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius  at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

[tex]160 = 300 - 4x -x^2\\x^2 + 4x - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14[/tex]

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.