Write an equation that represents the line.
Use exact numbers.

9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

Answer: $3.75

Step-by-step explanation: $15x15=225/60= 3.75

Our material handling cost is $3.75.

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.

Material handlers make $15 per hour

If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4

The cost per process is 15/4 =3.75.

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Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

Answer: a^8/b^10

Step-by-step explanation:in the picture

Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.

Number of yellow markers given = 16

Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:

= 1/2 × 16

= 8 markers

Therefore, the total markers will be:

= 8 + 16 = 24

In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.

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Answer:

The value of n is 5.

Step-by-step explanation:

We have been given that f(x) is a linear function and we are asked to find the value of n from the provided table.

x            f(x)

-4          -25

-1            -10

n             20

First of all we will find the slope of the given using our given points (-4,-25) and (-1,-10) in slope formula.

m = y2-y1/x2-x1

Upon substituting coordinates of our given points we will get,

m = -10--25/-1--4

m = -10+25/-1+4

m = 15/3

m = 5

Since we know that the equation of a line in slope-intercept form is:

y = mx + b,where, m= Slope and b= y-intercept.

Upon substituting m = 5 in slope-intercept form of equation we will get,

y = 5x + b

Now let us find y-intercept by substituting coordinates of one point in our given line.

-10 = 5(-1) + b

-10 = -5 + b

-10 + 5 = -5 + 5 + b

-5 = b

y = 5x - 5

Now let us find value of n by substituting x = n and y = 20 in our equation.

20 = 5 * n - 5

20 + 5 = 5 * n - 5 + 5

25 = 5 * n

25/5 = 5 * n/5

5 = n

Therefore, the value of n is 5.

Step-by-step explanation:

the area is

A = length × width.

length = 3 × width

=>

A = 3 × width × width = 3 × width²

300 = 3 × width²

100 = width²

width = 10 ft

[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)

[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]

[tex]\\ \sf\longmapsto 6x-4x=56[/tex]

[tex]\\ \sf\longmapsto 2x=56[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

9514 1404 393

Answer:

  an = 4×34^(n-1)

Step-by-step explanation:

If your recursive definition is ...

  [tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]

this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...

  [tex]a_n=a_1\times r^{n-1}[/tex]

For the values shown here, the explicit definition of the sequence is ...

  [tex]\boxed{a_n=4\times 34^{n-1}}[/tex]

Answer:

Step-by-step explanation:

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]

An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]

Answer:

1) 6 lines of symmetry

2) 360 ÷ 6 = 60°

Basically let's represent the number of girls with x.

There are 6 more boys than girls, so x+6

Let's sum it all up

x+x+6=40

Collect like terms;

2x+6=40

2x=40-6

2x= 34

Divide both sides by 2

x=17

17+6=23

Therefore there are 17 girls in the class and 23 boys.

please mark Brainliest.

Step-by-step explanation:

divide each of the following: using the two methods

Answer:

To reflect a graph, f(x) over the x-axis, you take -f(x).

So if f(x)=x^2, then -f(x) is -x^2.

Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

Step-by-step explanation:

Answer:

x=3/4

Step-by-step explanation:

Answer:

X= 3/4

Step-by-step explanation:

Distribute

Combine like terms

Add 2 to both sides of the equation

Simplify

Divide both side s of the equation by the same turm

Simplify

Answer:

3/1 or 12/4

Step-by-step explanation:

This is the case because all you are doing is converting it into a fraction.

. 3 feet to 1 yard- 3/1

.12 feet to 4 yards- 4/12

Answer:

$17.81

Step-by-step explanation:

11.87 x 1.5 = 17.805

Answer :

D

Step By Step Explanation :

Answer:

20 minutes

Step-by-step explanation:

If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.

I found this by dividing 40 (boxes) by 2 (min per box)

Answer:

A & C

Step-by-step explanation:

Answer:

No, Yes, Yes

Step-by-step explanation:

[tex]5x + 2y = 3[/tex]

2y = 3 - 5x

y = (3-5x) / 2

FALSE

[tex] \frac{w + 8}{2} = p[/tex]

2P = w + 8

w = 2P - 8

TRUE

[tex]ax + by = c[/tex]

by = c - ax

y = (c - ax) / b

TRUE

Answer:

3000000cm³

3000dm³

Step-by-step explanation:

150cm x 100cm x 200cm = 3000000cm³

[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]

Answer:

It would be 120 inches squared.

Step-by-step explanation:

12 x 8 = 96

6 x 4 = 24 / 2 = 12

12 x 2 = 24

96 + 24 = 120 inches squared

Answer: 80 in 2 cm

Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.

Answer:

the answer is 122cm

Step-by-step explanation:

105cm+15cm+2cm=122cm

Answer:b

Step-by-step explanation:

Answer:

look at the photo............

Step-by-step explanation:

Got it. Hope this will help.

Answer:

[tex]x = \frac{1}{28} y^{2}[/tex]

Step-by-step explanation:

parabola equation with vertex (0 , 0) and focus length |f| = 7

4*f*(x - h) = (y - k)²

4*7*(x-0)=(y-0)²

28x = y²

[tex]x = \frac{1}{28} y^{2}[/tex]

Answer:

a= 500km b= 1,250 c= 750

Step-by-step explanation:

a= 250x2=500km

b= 250x5=1,250km

c= 250x3=750km