Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?

1.9(1) = 0
2.9(-1) = 0
3.x + 1 is a factor of g(x).
4. No conclusion can be made regarding g(x).

Answer: 3/5

Step-by-step explanation:

A=a+b/2h

Since the bottom width = 4 and the top length =2 and the length = 5

2+4=6

2(5)=10

so 6/10 = 3/5

Given:

Joining fee = $28

Fee of each event = $4

To find:

Total cost for someone to attend 4 events.

Solution:

Let the number of events be x and total fee be y.

Fee for 1 event = $4

Fee for x events = $4x

Joining fee remains constant. So, the total fee is

[tex]y=28+4x[/tex]

Substitute x=4 in this equation.

[tex]y=28+4(4)[/tex]

[tex]y=28+16[/tex]

[tex]y=44[/tex]

Therefore, total cost of 4 events is $44.

Answer:

$375.71

Step-by-step explanation:

Given that:

Rate of interest = 5.5% compounded quarterly

Time = 1.5 years

Principal amount deposited in savings account = 1.5 years

To find:

Interest earned = ?

Solution:

Formula for amount with interest compounding quarterly:

[tex]A = P(1+\dfrac{r}{4\times 100})^{4t}[/tex]

Putting the values:

[tex]A = 4400(1+\dfrac{5.5}{4\times 100})^{4\times 1.5}\\\Rightarrow 4400\times 1.01375^6\\\Rightarrow 4400\times 1.085\\\Rightarrow \$ \bold{4775.71}[/tex]

Interest earned = Amount - Principal

Interest earned = 4775.70 - 4400 = $375.71

Answer:

Auto Parts, Furniture and restaurant.

Step-by-step explanation:

if you add furniture and pharmacy or charity with restaurant, they equal 180. so the bigger one would be 120 as lines are parallel and this is a single straight line passing through.

Answer:

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

Step-by-step explanation:

From statement we get the following equations:

Supply curve

[tex]90\cdot x - y = -50[/tex] (1)

Demand curve

[tex]10\cdot x + y = 200[/tex] (2)

Where:

[tex]x[/tex] - Quantity, measured in thousands of metric tons.

[tex]y[/tex] - Price, measured in US dollars per metric tons.

If we add both equations, then we find that quantity is:

[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]

[tex]100\cdot x = 150[/tex]

[tex]x = \frac{3}{2}\,kton.m[/tex]

Then, we finally find the price by substituting on (2):

[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]

[tex]y = 200-15[/tex]

[tex]y = 185\,USD[/tex]

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

Answer:

C!!!!

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

Got it write on edge

Answer:

the answer is 108.

Step-by-step explanation:

6 x 18 = 108

Answer:

455

Step-by-step explanation:

900-(35×13)=455

Answer:

3 mph

Step-by-step explanation:

To make 1/9 hour to 1 hour, you need to x9.

You can use this way:

Let the speed be x

(1/3)/(1/9)=x/1

1/9x=1/3

x=3

3mph

Hope is this useful :D

Answer:

Sum of the first 70 terms is 12,775

Step-by-step explanation:

For the 9th term, the formula is;

a + 8d = 50

For the 12th

a + 11d = 65

Subtract this from the equation above;

3d = 15

d = 15/3 = 5

To get a, we have a + 8(5) = 50

a = 10

The 70th term

will be

a + 69d

= 10 + 69(5)

= 355

Sum of the first 70

= n/2(a + L)

= 70/2( 10 + 355)

= 35 * 365 = 12,775

Answer:

2.0864648e+15

Step-by-step explanation:

Answer:

Ok this is a long one 4,792,801,917.519956

Hope this helps! But is this for a class or were you just wondering?

Answer: 86 and 4

Step-by-step explanation:

Hopefully this is the right answer!

Answer:

the answer for this question above is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

the question is not formatted well

A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?

Step one:

given data

we are told that the price of the small refrigerator contains both the original price and 15% profit

mathematically

$414= original price + 15% profit

Step two:

let us solve for 15% of 414

=(15/100)*414

=0.15*414

=$62.1

This shows that the profit is $62.1

let the original price be x

$414= x + 62.1

solve for x

x=414-62.1

x=351.9

The refrigerator's original cost to the store $351.9

Answer:

-6 ?

Step-by-step explanation:

Answer:

it looks like it would be 69% like the one below it

Step-by-step explanation:

Answer:

3.2333 (repeated)

3.23 (rounded

Step-by-step explanation:

ADE is 1/3 of ABC so we just divide the perimeter by 3

9.7cm / 3 = 3.2333

This rounds to: 3.23

Answer:

1) y = 2x - 2

2) y = - x - 1

3) y = 2/3 x + 1

4) y = 4x - 4

5) y = 3x + 6

6) y = -3x -3

7) y = 3 - x

8) y = 4 - 4x

Answer:

Kindly check explanation

Step-by-step explanation:

Given the equations :

6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes

Will the number 103 will make each true?

601 / 6.01= 100 (No, not true)

305 / 0.305 = 1000 (No, not true)

540 / 0.54 = 100 (No, not true)

970 / 0.097 = 10000 (No, not true)

Hence, multiplying each of the equation above by 103 will not make any of the equations true.

Hey there!

If x = 48

48/4 = 12 because 12 • 4 equals 48

Answer: 12

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

x=8

Step-by-step explanation:

{x}{4}x=48

{x^2}{4}=48

{4x^2}{4}=48\

Answer:

The measure of the fourth angle is 90°.

Step-by-step explanation:

Let x be the measure of the fourth angle.

Given measures of the other angles : 50°,120° & 100°.

Knowledge Required :

The sum of all the interior angles of a quadrilateral is 360°.

Then,

50°+120°+100°+x=360°

⇒x = 360°-270°

⇒x = 90°

.°. x = 90°

Hence, the measure of the fourth angle is 90°.

Answer:

A

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] → A

Given :

There are 40 DuBois students going on a field trip.

Each one pays their teacher $8.75 to cover admission to the museum and lunch.

Admission for the students is $120 and each one gets an equal amount to spend on lunch.

To Find :

How much will each DuBois student be able to spend on lunch.

Solution :

Amount they paid for admission :

[tex]P =\$ \dfrac{120}{40}\\\\P=\$3[/tex]

Now, amount of money to spend on lunch is $8.75 - $3 = $5.75 .

Hence, this is the required solution.

Answer:

Step-by-step explanation:

Answer:

I believe it would be an acute triangle.

Answer:

x=24 y=9.8

Step-by-step explanation:

5y-23=3x

47+3x+2x+13=180