Use the vertex ( h, k ) and a point on the graph ( x, y ) to find the standard form of the equation of the quadratic function:Vertex = (-4,2)Point = (-4,0)F( x )= Answer for coordinate 1 (x- Answer for coordinate 2 )^2 +Answer for coordinate 3

A compound inequality is created by joining two or more inequalities together using or or and (also known as a combined inequality). For a value to be the answer to an or inequality, it simply needs to make one part of the inequality true. To be effective, a solution to an inequality must make both sides true. Examples are x3 or x>2.

A sentence having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality. The conjunction "and" denotes the simultaneous truth of both statements in the compound sentence. It is when the solution sets for the various statements cross over or intersect.

Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.

The values that belong to both graphs—where the graphs overlap—are found by first examining the graphs of each individual inequality in order to obtain the answer to a "and" compound inequality. We graph each inequality for the compound inequality x>3 and x2. Next, we search for areas where the graphs "overlap."

To learn more about  compound inequality refer to:

https://brainly.com/question/24761100

#SPJ10

By using exponent properties, we will see that the simplification is the following:

∛x³ = x

Here we have the algebraic expression:

∛x³

And we want to simplify this, there are two things you need to remember before doing this, these are the exponent properties:

(xᵃ)ᵇ = xᵃ*ᵇ

and:

ⁿ√x = x¹/ⁿ

Then we can rewrite:

[tex]\sqrt[3]{x^3} = (x^3)^{1/3}[/tex]

Using the first property now we can write:

[tex](x^3)^{1/3} = x^{3*1/3} = x^1 = x[/tex]

Learn more about exponents:

https://brainly.com/question/11464095

#SPJ1

Answer:

84% of the cupcakes were chocolate- flavored.

Step-by-step explanation:

[tex] \frac{252}{300} = \frac{84}{100} = 84\%[/tex]

Reflection across the x axis involve negating the value of the y axis but the value of the x axis remain the same. Reflection across the y axis negate the x coordinates but the y values remains the same. When you reflect across the line y=x the coordinate and the y coordinates change places. Whe it rotate 180 degree around the origin the x and y values are negated. The transformation is interpreted as follows.

The answer is C which is reflection across the y axis followed by a 180 degree rotation around the origin.

The logic here is that PQRS is first reflected across the x axis which makes the y values negative. Then it reflect across the y axis which makes the value of x negative. So both x and y values are negative at this point. The rotation of 180 degree around the origin negates both the x and y values to make it all positive like the initial values of PQRS.

Answer:

c=3*6

Step-by-step explanation:

c=3 boxes * 6 cupcakes per box

The expression which is equivalent to the given expression is -7.74x² - 7.2x.

The given expression is (4.3x + 4)(−1.8x).

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Now, the given expression can be solved as follows:

(4.3x + 4)(−1.8x)

Using distributive property

4.3x × (−1.8x) + 4 × (−1.8x)

= -7.74x² - 7.2x

Therefore, the expression which is equivalent to the given expression is -7.74x² - 7.2x.

To learn more about the equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ1

Functions y=x and y=x-3 are related in a way that each output for y=x–3 is 3  units more than the corresponding output for y=x.

Their graphs are related in a way that the graph of y=x–3 is the graph of y=x translated down 3 units

A function will defines one variable in terms of the other. Functions y=x means that y will vary directly to whatever value x takes.

When the graph of function y=x is drawn, then it is a straight line through the origin.

Now, functions y=x and y=x-3 are closely related. The graphs of the two are almost the same, the only difference is that every point on  function y=x has been lowered by 3 to be function y=x-3.

Hence, the output for y=x-3 is 3 units more than the output of y=x, and the graph of function y=x is translated down by 3 units to get function y=x-3

The graphs for functions y=x and y=x-3 are shown below:

Learn more about functions here:

https://brainly.com/question/13166680

#SPJ4

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{2}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line that has a slope of 2 and it passes thourhg (4 , 6)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 2}(x-\stackrel{x_1}{4}) \\\\\\ y-6=2x-8\implies {\Large \begin{array}{llll} y=2x-2 \end{array}}[/tex]

It is important to know that the definition of the parabola is

Where p represents the focus coordinate, so p = 3. Also, we know that y = 12, let's find x

But, the wide of the lamp is 2x, so

Answer: 3 1/3

Step-by-step explanation:

-7 - (-3 2/3)

-7 = -6 -3/3

-6 -(-3) = -3

-3/3 -(-2/3) = -1/3

-3 + (-1/3) = -3 1/3

|-3 1/3| = 3 1/3

The distance between the two numbers is 3 1/3

Answer:

The answer is -576

Step-by-step explanation:

-24×+24

–×+= –

-24×24= -576

Answer:

40x

Step-by-step explanation:

4x10x

=

40x

Answer:4x+50?

Step-by-step explanation:

4(10+x)

Simplified into 50+4x

So basically 4x+50

Answer: 180

Step-by-step explanation: You first have to find the surface area of each face of the rectangular prism. So, we can multiply 8 and 6 to find the largest face, 8 and 3 to find the second largest face, and 6 and 3 to find the smallest face. We also know that there are two of each face.

8*6=48

8*3=24

6*3=18

Now we can either double everything now or add everything and then double it.

48*2=96

24*2=48

18*2=32

96+48+32=180

or we can do it this way:

48+24+18=90

90*2=180

Answer:

36

Step-by-step explanation:

3x+5+2x-5 = 180 ( being linear pair)

5x = 180

x= 36

Answer:

Positive

Step-by-step explanation:

I would estimate the correlation coefficient to be positive, because the slope is up and to the right, with both the x- and y- values becoming larger and larger which indicates that the correlation is positive.

Please mark brainliest!

There is 0.009% probability that Casper broke the dish.

Firstly we will calculate the probability of bussing the table by each person.

Probability of bussing tables by Alonzo = 55%

Probability = 0.55

Probability of bussing tables by Bob = 15%

Probability = 0.15

Probability of bussing tables by Casper = 30%

Probability = 0.3

Now calculating the probability of breaking the dish by each person

Probability of breaking dish by Alonzo = 5%

Probability = 0.05

Probability of breaking dish by Bob = 2%

Probability = 0.02

Probability of breaking dish by Casper = 3%

Probability = 0.03

The phenomenon of bussing of tables and breaking the dish is independent. So, probability will be calculated by the formula -

P (A and B) = P (A) × P (B)

P (Casper of bussing the table and breaking the dish) = Probability of bussing tables by Casper × Probability of breaking dish by Casper

Keep the values

P (Casper of bussing the table and breaking the dish) = 0.3 × 0.03

Performing multiplication

P (Casper of bussing the table and breaking the dish) = 0.009

Hence, probability is 0.009%.

Learn more about probability -

https://brainly.com/question/1374659

#SPJ4

Answer:

p=-1.25

Step-by-step explanation:

first, we do the absolute value so we get 7x5p+7=-21

now we subtract 7 on each side so now it is 7x5p=-28

now we multiply the 7 and 5p so no it is 35p=-28

now we divide both sides by 35 now the answer is p=-1.25

Number of cubic feet water is passing through dam in 3 second = 4 cubic ft

Therefore, amount of water passes through dam in 1 seconds

= \frac{\text{Amount of water passing through dam}}{\text{Duration}}

Duration

Amount of water passing through dam

= \frac{4}{3}

3

4

cubic feet per seconds

Answer:

9:7:14

Step-by-step explanation:

where I got my answer

https://brainly.com/question/26949721?cb=1665956819241

 A line's slope is a measurement of how steep a line is. Slope is calculated by dividing the change in y values by the change in x values.

  A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Slope is a measure of the steepness of a line.

Slope = rise / run = Δy / Δx.

Slope= Δx /Δy = 4−0 /2−5 = 4 / −3

​Slope from two points, for instance

We are informed that there are two possible solutions to a particular linear equation:

Solution: x = 11.4, y = 11.5, x = 11.4, y = 11.5, space, space, space, y = 11.

Answer: x=12.7 y=15.4 x=12.7 y=15.4

Slope=

Δx / Δy  =  12.7−11.4 /15.4−11.5

=  1.3 /3.9

= 13 /39

=3.

The line has a 333 slope.

To Learn more About slope, Refer:

https://brainly.com/question/3493733

#SPJ13

​

​

​

Answer: 1170 towels

Step-by-step explanation:

Let x be the no. of towels that can be made in a month

The equation for total cost then becomes,

3020 = 1850 + 1x
1170 = 1x

x = 1170 towels

The length of the fence that corresponds to the cost of fencing respectively is =

Length of fencing (ft): 2, 8, 5, 7, 10

Cost of fencing ($): 18, 72, 45, 63, 90.

Length is defined as the measurement of how long a figure or structure is which is usually measured meters, centimetres or feets.

The cost of every 2 feets of the fence Heather is building is = $18

If 2ft = 18

8ft = ×

Make X the subject of formula,

X = 8 × 18/2

X= 4×18 = $72

If 2ft = 18

5ft = ×

Make X the subject of formula,

X = 5 ×18/2

X = 5×9

X = $45

If 2ft = 18

7 ft = ×

Make X the subject of formula,

X = 7× 18/2

X = 7× 9=$ 63

If 2ft = 18

10ft = X

Make X the subject of formula,

X = 10 × 18/2

X= 10× 9

X = $90

Learn more about length here:

https://brainly.com/question/28108430

#SPJ1

Answer:

[tex]g(x)=|x-2|+10[/tex]

Step-by-step explanation:

Translations

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}[/tex]

Given absolute value function:

[tex]f(x)=|x|[/tex]

To translate the given function 2 units to the right, subtract 2 from the x-value:

[tex]\implies f(x-2)=|x-2|[/tex]

Then to translate the given function 10 units up, add 10 to the function:

[tex]\implies f(x-2)+10=|x-2|+10[/tex]

Therefore, the function that translates the function f(x) = |x| to the right 2 units and up 10 units is:

[tex]\large\boxed{g(x)=|x-2|+10}[/tex]

Answer:

?

Step-by-step explanation:

what are the steps and I can help you

ANSWER :

The answer is :

EXPLANATION :

From the problem, we have :

The whole numbers will be added directly.

For the fraction part, the numerator is added and the denominator will stay the same.

That will be :

Answer:

[tex]a) n =\dfrac{c}{d}\\\\\\b) b= 2A -a\\\\c) m_1=\dfrac{Fr^2}{Gm_2}[/tex]

d) z = 10

Step-by-step explanation:

   a)

         [tex]\sf d = \dfrac{c}{n}\\\\\text{Mulitply the entire equation by 'n',}\\\\n*d=n*\dfrac{c}{n}\\\\nd =c\\\\\text{Now, divide the entire equation by 'd',}\\\\n =\dfrac{c}{d}[/tex]

b)

            [tex]\sf A = \dfrac{a+b}{2}\\\\\text{Multiply the entire equation by 2,}\\\\2*A = 2*\dfrac{a+b}{2}\\\\2A = a+b\\\\\text{Now subtract 'a' from both sides,}\\\\2A - a = b\\\\\boxed{b=2A - a}[/tex]

c)

               [tex]\sf F =\dfrac{Gm_1m_2}{r^2}[/tex]

               Multiply the entire equation by r²,

             [tex]\sf Fr^2=r^2*\dfrac{Gm_1m_2}{r^3}\\\\Fr^2=Gm_1m_2[/tex]

             Divide the entire equation by Gm₂,

            [tex]\sf \dfrac{Fr^2}{Gm_2}=m_1\\\\\boxed{m_1=\dfrac{Fr^2}{Gm_2}}[/tex]

D) A = 7 ; y =4

Substitute in the equation and find the other number.

          [tex]\sf A = \dfrac{1}{2}(y+z)\\\\7=\dfrac{1}{2}(4+z)\\\\Multiply \ both \ sides \ by 2,\\\\7*2 = 4 +z[/tex]

             14 = 4 + z

Subtract 4 from both sides,

        14 - 4 = z

               z = 10

The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are

The function is

p(t)=4+2(t−1)

We know the nth term of the arithmetic sequence is

an = a + (n-1)d

By comparing the nth term of the arithmetic sequence and the given function

The first term a = 4

The common difference d = 2

The value of n = t

Hence, the function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are

The complete question is :

The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.

Select EACH correct statement about the scenario.

Learn more about arithmetic sequence here

brainly.com/question/10396151

#SPJ1

The expression written as a single power(exponent) is 9⁶ .

Exponentiation, abbreviated as bⁿ, is a mathematical process that involves the base number (b) and the exponent (or power) number (n). The word is pronounced "b (elevated) to the (power of) n."

the given expression is of the form:

9⁶÷9³

Which is equivalent to:

9⁶⁻³ (properties of exponents)

this is equal to 9⁶ .

The value of the expression is 9⁶ .

To learn more about exponents visit:

https://brainly.com/question/15993626

#SPJ1

The value of y = 12.

Given,

m ∠ABC = 40° and BD is the angle bisector of ∠ABC.

To find the value of y=?

Now, According to the figure,

For value x, (Adjacent angles)

3x - 1 = 34 - 2x

3x + 2x = 34 +1

5x = 35

x = 7

And, For value of y ,

A and C are altitude

3y +6 =  5y - 18

3y - 5y = -18 - 6

-2y = -24

y = 12

Hence, The value of y = 12.

Learn more about Angles at:

https://brainly.com/question/28451077

#SPJ1