The vertex of this parabola is at (-1,-3). Which of the following could be it’s equation?

Answer:$2,310

You set up dash equals dash 1,650 over 100% and x over 140% you would then cross multiply and divide. You would multiply 1,650 and 140 which give you 231000 the divide that by 100 and that gives you $2,310

Step-by-step explanation:

2/3 - 5/6 * 8

You have to multiply first, then subtract:

-5/6 * 8 = -20/3

Put it back into an equation:

2/3 - 20/3

Simplify:

-18/3

= -6

Answer:

B) -6

Step-by-step explanation:

2/3 - 5/6 • 8

According to PEMDAS, we need to multiply before we subtract

5/6 *8 = 40/6

We can divide the top and bottom by 2

40/6 = 20/3

Replace 5/6*8 with 20/3 in the original equation

2/3 -20/3

-18/3

Divide the top and bottom by 3

-6/1

-6

Wait. You've been waiting for a year? Woah..

Step-by-step explanation:

If x-4 is factor, then one value of x is 4

4²-4-w=0

12-w=0

w=12

➷ You have to find a value that, when added to -4, gives -1

This value is +3

The factored form would be (x - 4)(x + 3)

Expand this out:

x^2 + 3x - 4x - 12

==> x^2 -x -12 = 0

w = -12

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Answer:

6,435

Step-by-step explanation:

To find the number of ways the teacher can select the students, we can use the combination formula.

[tex]_{n}C_{k}=\dfrac{n!}{k!(n-k)!}[/tex]

n = 15

k = 7

Now let's plug it in.

[tex]_{n}C_{k}=\dfrac{n!}{k!(n-k)!}[/tex]

[tex]_{15}C_{7}=\dfrac{15!}{7!(15-7)!}[/tex]

[tex]_{15}C_{7}=\dfrac{15!}{7!8!}[/tex]

[tex]_{15}C_{7}=6,435[/tex]

So there are 6,435 ways that the teacher can select the students.

Answer:

$39

Step-by-step explanation:

65 x .40 = 26

65 - 26 = $39

Answer:

$39

Step-by-step explanation:

1st multiply: 0.40 * 0.100= 0.400

2nd multiply: 0.400 * $65 = $26 (how much you saved)

3rd subtract: $63 - $26= $39 (which is the cost of the sneakers)

Answer:

No slope

Step-by-step explanation:

The slope of a line or segment in the Cartesian plane is zero if from left to right the value on the y-axis increases, and negative if from left to right the value on the y-axis decreases. So in this case the line is neither positive nor negative.

A slope is zero if the line is horizontal, and because the line in the figure is vertical, its slope is not zero.

For vertical lines in the plane it is said that they have no slope or that it is undefined.

Answer:

C. (-2, 4)

Step-by-step explanation:

First we are going to rotate the point 270°; then we are going to shift it down 3 units.

Remember that the rule to rotate a point 270° counterclockwise about the origin is:

[tex]R_{270}(y,-x)[/tex]

In other words, we just need to switch the coordinates and change the sign of the second coordinate. Let's apply the rule to our point:

[tex]A = (-7, -2)[/tex]

[tex]A'=(y,-x)=(-2,--7)=(-2,7)[/tex]

Now we know that the coordinates of our point after the rotation are A' = (-2, 7)

The only thing left is shift that point 3 units down; to do it, we just need to subtract 3 from the y-coordinate:

[tex](x,y)-->(x,y-3)[/tex]

[tex]A'=(-2,7)[/tex]

[tex]K'=(-2,7-3)[/tex]

[tex]K'=(-2,4)[/tex]

We can conclude that after a rotation of 270° and a translation 3 units down, the coordinates of point K' are (-2, 4).

Answer:

C

Step-by-step explanation:

Basically (f+g)(x) = f(x)+g(x).

Following this rule you combine like terms.

7x-2x=5x and 10+5 = 15.

Therefore the answer is C.

f(x) = 10 - 2x

g(x) = 7x + 5

(f + g) (x) = (10 - 2x) + (7x + 5) //Adding two functions

= 10 - 2x + 7x + 5

= 15 + 5x

Answer: C.

//Hope it helps.

Answer:

D. $122.04 in cash and a $206.64 check

Step-by-step explanation:

D is the correct answer :0

Answer:

143.79

Step-by-step explanation:

The area of the figure can be found by splitting it into two shapes - a semi circle and a trapezoid.

The area of a semi-circle is found using A = 1/2πr² where r = 4.5 since the diameter is 9. A = 1/2π(4.5)² = 31.79.

The area of the trapezoid is found using A = 1/2(a+b)h = 1/2(23 + 9)(7) = 112.

Together the area is 31.79 + 112 = 143.79.

7.07 is the right answer to 7.07106781187 rounded to the nearest hundredth

Yeah 7.07. I would agree.

Answer: = [tex]\frac{17}{18}[/tex]

Step-by-step explanation:

* Hopefully the work below helps:) Mark me the brainliest if this was helpful:)

Answer:

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex](x-6)^2+(y-7)^2=25[/tex]

h = 6, k = 7, r = √25 = 5

The diameter d = 2r → d = 2(5) = 10

Answer:

[tex]2x^{4}+x^{3}-x+2[/tex]

Step-by-step explanation:

To find which one is prime, let's try to factor them all. We can use the factoring by grouping method.

[tex]x^{3}+3x^{2}-2x-6[/tex]

[tex]x^{3}+3x^{2}[/tex]and[tex]-2x-6[/tex]

[tex]x^{2}(x+3)[/tex]and[tex]-2(x+3)[/tex]

So this one is not prime, since you can still factor it.

[tex]x^{3}+2x^{2}-3x-6[/tex]

[tex]x^{3}+2x^{2}[/tex]and[tex]-3x-6[/tex]

[tex]x^{2}(x-2)[/tex]and[tex]3(x-2)[/tex]

So this one is not prime, since you can still factor it.

[tex]4x^{4}+4x^{2}-2x-2[/tex]

[tex]4x^{4}+4x^{2}[/tex]and[tex]-2x-2[/tex]

[tex]4x^{3}(x+1)[/tex]and[tex]-2(x+1)[/tex]

So this one is not prime, since you can still factor it.

[tex]2x^{4}+x^{3}-x+2[/tex]

[tex]2x^{4}+x^{3}[/tex]and[tex]-x+2[/tex]

[tex]x^{3}(2x+1)[/tex]and -x+2 cannot be further factored.

Therefore, [tex]2x^{4}+x^{3}-x+2[/tex] is a prime.

Answer:

Step-by-step explanation:

The equation of a circle in standard form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex]x^2+y^2=100\\\\(x-0)^2+(y-0)^2=10^2[/tex]

Therefore we have

the center (0, 0)

radius r = 10

Answer:

300 and 600

Step-by-step explanation: multiply l x w

In the given figure the area of the complete figure can be calculated as

sum of the area of the parallelogram and the area of the trapezium which is 787.5 sq.cm.

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

In the given figure the area of the complete figure can be calculated as

Area = area of the parallelogram + area of the trapezium

The upper figure is the shape of a parallelogram that has a height of 14cm and a base of 23cm.

The area of a parallelogram = Base x Height

                                                  [tex]14 \times 23\\\\322\:cm^{2}[/tex]

The lower figure is the shape of a trapezium that has a height of 19cm and a base of 34cm and 15 cm.

area of the trapezium

= [tex]\frac{1}{2} (a+b)h\\\\\frac{1}{2} (15+34)19\\\\465.5\:cm^2[/tex]

Therefore, Area = area of the parallelogram + area of the trapezium

Area = 322 + 465.5

        =787.5 sq.cm

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Answer:

y + 2 = -3(x - 7)

Step-by-step explanation:

Write the equation using the point slope form [tex]y - y_1 = m(x-x_1)[/tex]. Substitute m = -3 and (7,-2).

[tex]y --2 = -3(x-7)\\y + 2 = -3(x-7)\\y +2 = -3x +21\\y = -3x +19[/tex]

Answer:

The answer is 5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

3x+2=4x-3

minus 3x from both sides

2=x-3

add 3 to both sides

x=5

Answer:

AB = 12.99

Step-by-step explanation:

To answer this problem, use the breast theorem.

[tex]\frac{sinA}{a} = \frac{sinC}{c}[/tex]

The side opposite angle C is denoted by the letter c. It is also denoted as AB side

We know that:

A = 80.4°

a = 17

C = 48.9

Then we have that:

[tex]\frac{sin(80.4\°)}{17} = \frac{sin(48.9\°)}{c}[/tex]

Now clear the variable c from the equation

[tex]c = \frac{sin(48.9\°)}{\frac{sin(80.4\°)}{17}}[/tex]

[tex]c = 12.99[/tex]

Answer:

B

Step-by-step explanation:

if a is greater then b and b=7 and A< 8  7.5 is the only one that fits the description

Option B) a = 7.5 is the correct

The question is asking which option is a counterexample to the assertion that if a and b are real numbers with a > b and b = 7, then a ">=_" 8. To find a counterexample, we need an instance where a is greater than b (which is 7), but a is not greater than or equal to 8.

A) a=6.5 cannot be the correct answer because it is not greater than b. B) a = 7.5 is indeed greater than b=7, but it is less than 8 which makes it the correct counterexample. Both C) a= -8.5 and D) a=8.1 are not counterexamples; the former is less than b, and the latter is greater than 8.

Therefore, option B) a = 7.5 is the correct counterexample because it satisfies the condition a > 7 but does not meet the incorrect assertion that a is also ">=_" 8.

Mean = Sum of all data divided by number of data

= (6 + 14 + 10 + 6 + 4 + 8) / 6 = 8. (C)

The required mean value fo the given data is 8. Option C is correct.

Given that,
Vanilla-6 Chocolate-14 Strawberry-10 Butter Pecan-6 Cookie Dough-4 Moose Tracks-8,
mean value of the given data is to be determined.

The mean of the values is the ratio of the total sum of values to the number of values.

Statistic is the study of mathematics that deal with relations between comprehensive data.

Here,
Number of values = 6
Mean  = sum of the values/number of values
mean = [6 + 14 + 10 + 6 + 4 + 8]/6
Mean = 48 / 6
Mean = 8

Thus, the required mean value fo the given data is 8. Option C is correct.

Learn more about mean here:

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Answer:

A = 10.5 units^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2(b1+b2) *h

b1 = 5

b2 = 2

h = 3

I found these by looking at the graph

A = 1/2(5+2) *3

A =1/2(7)3

A = 10.5 units^2

Answer:

3

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ 0, 2 ] and from the graph

f(b) = f(2) = 0

f(a) = f(0) = - 6, hence

average rate of change = [tex]\frac{0-(-6)}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3

(-4 + 7i)(-4 - 7i)

= 16 - 49i2

Since i = √-1,

16 - 49i2

= 16 + 49

= 65

Answer:  65

Step-by-step explanation:

   (-4 + 7i)(-4 - 7i)

= -4(-4 - 7i)  +7i(-4 - 7i)

=  16 + 28i    -28i - 49i²

=  16                     - 49(-1)         Note: i² = -1

= 16 + 49

There are 12 months in a year

4 months that have 30 days so ratio of the months with 30 days to the  months with other than 30 days = 4: 12 = 1:3

Answer:

1 to 3

--------------

24 sedans and 18 sports

Ratio of sedans to sport = 24 : 18 = 4:3

Answer:

4 to 3

---------------

30 inches to 2 feet  

2 feet = 24 inches

so 30 inches to 24 inches = 30:24

simplify

= 5 : 4

Answer:

5 to 4

-------------------

36 inches to 4 feet = 36 inches to 48 inches = 36:48

simplify

= 3 : 4  

Answer:

3 to 4

Answer:

1. 1 to 2 , 2. 3:2 , 3. 15:1 , 4. 6:2

Step-by-step explanation:

d × 3.14

18 ×3.14

c=56.52

Answer:

2/3

Step-by-step explanation:

Given in the question two points

(84,80) and (74,65)

Here

x1 = 84

x2 = 74

y1 = 80

y2 = 65

Slope of line means gradient of line and formula to calculate gradient of line is

gradient = [tex]\frac{x2-x1}{y2-y1}[/tex]

plug values in the formula

[tex]\frac{74-84}{65-80}[/tex]

[tex]\frac{-10}{-15}[/tex]

cancel - sign

[tex]\frac{10}{15}[/tex]

2/3 is the gradient of line having coordinates (84,80) and (74,65)

The center point is point O

Answer:

Line A is longer because i can see

Step-by-step explanation: