What is the vertex form of the quadratic function that has a vertex at (5, 4)
and goes through the point (6, 1)?
O A. y= (x - 5)2 + 4
B. y=-3(x - 5)2 + 4
C. y = 3(x - 5)2 + 4
O D. y = 5(x - 5)2 - 3

Answer:

A, 12 times the square root of 3

Step-by-step explanation:

24 sqaured plus 12 squared=432

square root of 432=20.9

12 times the sqaure root of 3=20.9

Answer:

C. 3x - 5

Step-by-step explanation:

The inputs are the values of x and the outputs are the values of y.

checking all options by placing any output as x and seeing if it gives the same output as in the table.

All options except C do not give the same output as in the table (ill show the working for option C you can do for yourself the rest ^^")

Let's take x = 4

placing it in 3x - 5

output (y) = 3(4) - 5

= 12 - 5

= 7

same as the output given in the table so the answer is C.

Answer:

256 ways i think maybe

Step-by-step explanation:

Full question:

For each multiplication expression, sketch an area model. Label the dimensions and the area of each part. Then write an equation showing that the area as a product equals the area as a sum. a. (x+1)(x+2), b. 3(2x+5), c. (2x-3)(x+2), d. (x-1)(y-1), e. -2y(y+3), f. (-x+1)(3x+y-4)

Answer and explanation:

a. (x+1)(x+2)= x×x+x×2+1×x+1×2

The dimensions (length and width) is x+1 and x+2

b. 3(2x+5) = 3×2x+3×5

The dimensions is 3 and 2x+5

c. (2x-3)(x+2)= 2x×x+2x×2-3×x-3×+2

The dimensions are 2x-3 and x+2

d. (x-1)(y-1)= x×y+x×-1-1×y-1×-1

Dimensions are x-1 and y-1

e. -2y(y+3)= -2y×y-2y×3

Dimensions are -2y and y+3

f. (-x+1)(3x+y-4)= -x×3x-x×y-x×-4+1×3x+1×y+1×-4

Dimensions are -x+1 and 3x+y-4

Answer:

hxgdhsksuflskjtnsjfbdyfyjagdjxfhhfbejfbodwkkgodl

Answer:

jsdcjdvnjkdnjnjdanskcbanknqnjfkrbgiyrwhgondfkv

Step-by-step explanation:

Answer:  

a        

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Because the ops are always trying to oppose things, so you show them why they're wrong.

[tex] \frac{6}{11} - \frac{ - 7}{11} [/tex]

[tex] \frac{6 - ( - 7)}{11} [/tex]

[tex] \frac{6 + 7}{11} [/tex]

[tex] \frac{13}{11} [/tex]

Answer:

The number of quarters required to pile up to 2 km are 1000000.

Step-by-step explanation:

Diameter of each quarter = 2 mm

Total height = 2 km

Number of quarters required is given by

[tex]\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000[/tex]

Answer:

C: 165mi, 40mi, 115mi

Step-by-step explanation:

hope it helps :)

Answer:

Each jar contains 150 g.

Step-by-step explanation:

Florencia prepared a kilo 3/4 kg of dulce de leche and wants to divide it into equal portions in 5 jars How many kg of Dulce will she put in each jar How many grams are equivalent?

Amount prepared = 3/4 kg

Total number of jars = 5

The amount in each jar is given by

[tex]\frac{3}{4}\times \frac{1}{5}\\\\=\frac{3}{20} kg\\\\= \frac{3}{20}\times1000g = 150 g[/tex]

Answer:

C=25+5.50n

Step-by-step explanation:

C=25+5.50n where c is the total cost and n is the number of hours the clown entertains.

Answer:

90 diagonais.

Step-by-step explanation:

[tex]n(n-3)/2=15(15-3)/2=15*6=90[/tex]

Answer:

4.8 feet

Step-by-step explanation:

Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.

Let x represent the horizontal distance (the adjacent leg)

cosine θ = adjacent / hypotenuse

cosine 76° = x / 20

(20)(cosine 76°) = x

4.8 = x

So, the horizontal distance is approximately 4.8 feet

Answer:

[tex]Minimum = (5,7)[/tex]

No maximum

Step-by-step explanation:

Given

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Solving (a): The minimum

The minimum is when the absolute parameter gives 0

i.e.

[tex]0.9|-(x - 5)| =0[/tex]

Divide both sides by 0.9

[tex]|-(x - 5)| =0[/tex]

Open bracket

[tex]|-x + 5| =0[/tex]

Remove absolute sign

[tex]-x + 5 =0[/tex]

Collect like terms

[tex]x = 5[/tex]

Then the y value is:

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Recall that: [tex]0.9|-(x - 5)| =0[/tex]

So, we have:

[tex]f(x) = 0 + 7[/tex]

[tex]f(x) = 7[/tex]

Hence, the minimum is at: [tex](5,7)[/tex]

Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.

Hence. the function has no maximum; i.e.

[tex]Maximum = (\infty,\infty)[/tex]

Answer:

$13 per hour

Step-by-step explanation:

This is because 26÷2=13, 65÷5=13

Step-by-step explanation:

The number 0 is called a. zero polynomial. binomial.

zigya

Answer:

yo have to think very hard about it

sorry, I don't have an answer but I do want to know myself

Answer:

First dropbox: 7h + 43 = 64

Second dropbox: $3

Step-by-step explanation:

Here's what we know about the question so far:

$43 is the initial fee

The rototiller worked for 7 hours

$64 is the total cost (including initial fee)

h = hourly fee

The answer should be 7h + 43 = 64 because:

- It includes the initial fee of $43

- It sets the equation equal to $64, which is the total cost

- The hourly fee is being multiplied with 7 hours, which is correct since the h variable is hourly (not sure how to explain this part ;w; )

For the 2nd drop box, we will use basic algebra to solve for h:

7h + 43 = 64

(subtract both sides by 43)

7h = 21

(divide both sides by 7)

h = 3

There's your 2 answers!

Hope it helps (●'◡'●)

Answer:

x > 3

Step-by-step explanation:

Given the inequality :

-2(5 – 4x) < 6x – 4

Expand the equation in bracket :

-10 + 8x < 6x - 4

Collect like terms

-10 + 4 < 6x - 8x

-6 < - 2x

Divude both sides by - 2

-6 / - 2 < - 2x / - 2

3 < x

x > 3

Answer:

[tex] \displaystyle \boxed{k = 3}[/tex]

Step-by-step explanation:

to determine the Value of k we need to find the equation of f(x) and g(x)

finding the equation of f(x):

f(x) is a linear function which form is given by:

[tex] \displaystyle f(x) =mx + b[/tex]

where:

from the graph we acquire that

[tex]b = 4[/tex]

to figure out m we can consider the following formula:

[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]

from the graph we obtain that both ∆x and ∆y is 1 thus substitute:

[tex] \displaystyle m = \frac{ 1}{ 1} [/tex]

simplify:

[tex] \displaystyle m = 1[/tex]

altogether we acquire:

[tex] \displaystyle f(x) =x + 4[/tex]

finding the equation of g(x):

likewise f(x)

from the graph we obtain that

thus substitute:

[tex] \displaystyle m = \frac{ 3}{ 1} [/tex]

simplify:

[tex] \displaystyle m = 3[/tex]

from the graph we acquire

altogether substitute therefore

[tex] \displaystyle g(x) =3x + 4[/tex]

finding the value of k:

given that,

[tex] \displaystyle \rm f(x) \: \text{and} \: g(x) =f(kx) = 3x + 4[/tex]

so our equation is

[tex] \displaystyle kx + 4 = 3x + 4[/tex]

cancel 4 from both sides:

[tex] \displaystyle kx = 3x [/tex]

divide both sides by x:

[tex] \displaystyle \boxed{k = 3}[/tex]

and we're done!

Disclaimer:

at the following link we posted the complete question

the complete question:

Answer:

k = 3

Step-by-step explanation:

Graph is in attachment .

Finding equation of first line [ f(x) ] :-

We can see that the line passea through point ( 0,4) . Therefore ,

Also it passes through (-4,0 )

Now let's find out slope .So that we can use the slope intercept form to find the equⁿ of the line.

Equation of f(x) :-

Similarly when we will find the equⁿ of g(x) :-

By question :-

Answer:

y= 3x+4

Step-by-step explanation:

Slope-intercept form of an equation is

y=mx+b

m=slope

b=y-intercept

Just plug the values in and you get y=3x+4

Answer:

1st one

Step-by-step explanation:

Answer:

the lines are parallel they are 10 units apart

Step-by-step explanation:

The shortest distance between these two parallel lines is 2.5

Given equations:

3x + 4y + 10 = 0 ----- (1)

3x + 4y + 20 = 0 ---- (20)

To find:

the shortest distance between the two lines

The slope  and y-intercept of the first equation is calculated as;

3x + 4y + 10 = 0

4y = -3x - 10

[tex]y = \frac{-3x}{4} - \frac{10}{4} \\\\y = \frac{-3x}{4} - \frac{5}{2}[/tex]

The slope = -³/₄ and the y-intercept = - ⁵/₂ = - 2.5

The slope  and y-intercept of the second equation is calculated as;

3x + 4y + 20 = 0

4y = -3x  - 20

[tex]y = \frac{-3x}{4} - \frac{20}{4} \\\\y = \frac{-3x}{4} - 5[/tex]

The slope = -³/₄ and the y-intercept = - 5

The two equations have the same slope = -³/₄

This shows that they are parallel with different y-intercepts

The shortest distance between the two lines is at their y-intercepts

The shortest distance between these two lines is calculated as;

[tex]distance = \sqrt{(-5 - (-2.5) )^2} \\\\distance = \sqrt{(-5+ 2.5)^2} \\\\distance = \sqrt{(-2.5)^2 } \\\\distance = \sqrt{6.25} \\\\distance = 2.5[/tex]

Thus, the shortest distance between these two parallel lines is 2.5

learn more here: https://brainly.com/question/11566480

Answer:

The minimum income level for this target group is of $51,253.6.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $41,182 and a standard deviation of $11,990

This means that [tex]\mu = 41182, \sigma = 11990[/tex]

Find the minimum income level for this target group.

The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - 41182}{11990}[/tex]

[tex]X - 41182 = 0.84*11990[/tex]

[tex]X = 51253.6[/tex]

The minimum income level for this target group is of $51,253.6.

Answer:

Step-by-step explanation:

C looks right

as shown in the graphs  :P

Answer:

x = -2

y = 8

Step-by-step explanation:

8x + 5y = 24

y = -4x

8x + 5 (-4x) = 24      (Substitute y value)

8x - 20x = 24           (Multiply)

-12x = 24                   (Combine like terms and divide)

x = -2

y = -4 (-2)                   (Substitute x value. Multiply)

y = 8