(Score for Question 2: of 5 points)
2. Consider the function f(x)= xº + 2x² – 3 .
(a) Graph the function.
(b) What are the x- and y-intercepts of the graph?
Answer:

Step-by-step explanation:

Got it. Hope this will help.

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.

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Answer:

$17.81

Step-by-step explanation:

11.87 x 1.5 = 17.805

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:

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.

Answer:

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

Answer :

D

Step By Step Explanation :

Answer:b

Step-by-step explanation:

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:

[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 & C

Step-by-step explanation:

Answer:

the answer is 122cm

Step-by-step explanation:

105cm+15cm+2cm=122cm

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:

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

Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Recall:

Given:

Required:

Thus, using the area formula, the equation below is derived:

[tex](l)(l - 470) = 15,000[/tex]

[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]

[tex](l + 30)(l - 500) = 0\\\\[/tex]

[tex]l = -30 $ or $ l = 500[/tex]

We will go with the positive value, which is 500.

Therefore, the length of the rectangular field is 500 ft.

Width = l - 470

Width = 500 - 470

Width = 30 ft

Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

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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:

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:

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: $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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Answer:

1) 6 lines of symmetry

2) 360 ÷ 6 = 60°

[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]

Step-by-step explanation:

divide each of the following: using the two methods

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:

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.

Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

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:

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

Step-by-step explanation:

a= 250x2=500km

b= 250x5=1,250km

c= 250x3=750km

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