Which polynomial function could be represented by the graph below? On a coordinate plane, a cubic function crosses the x-axis at (negative 3, 0), (0, 0), (2, 0). f(x) = x3 + x2 – 6x f(x) = x3 – x2 – 6x f(x) = –2x3 – 2x2 + 12x f(x) = –2x3 + 2x2 + 12x

Answer:

Yes, triangle GYK is similar to triangle BAK.

Step-by-step explanation:

The sides of each triangle are proportional to each other.

Take the longest side of each triangle. You are comparing line AK with line KY.

The proportion is 15/25.

Now, take the shortest side of each triangle. You are comparing line KB with GK.

The proportion is 6/10.

To determine if the triangles are proportional, we can see if the two proportions are equal to each other:

15/20=6/10

3/5=6/10

Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.

Hope this helps :)

Answer:

O  Yes!

Step-by-step explanation:

We would check whether the proportionality of their sides is equal

Taking proportionality

= [tex]\frac{6}{10} = \frac{15}{25}[/tex]

Cross Multiplying

6 × 25 = 15 × 10

150 = 150

So, ΔABK is similar to ΔGKY

Answer:

12.04

Step-by-step explanation:

Because the questions are true and false, that is, there are only two answer options, therefore, you have a success probability = 1/2 = 0.5

The standard deviation can be calculated as follows:

Standard Deviation = (n*p* (1-p)] ^ (1/2)

replacing we have:

SD = (290 * (1-0.5)] ^ (1/2) = 12.04

That is, the standard deviation is 12.04

Answer:

[tex]g(2) = 4(2) + 6 = 14[/tex]

[tex]f(2) = 2(2) + 3 = 7[/tex]

[tex](g - f)(2) = 14 - 7 = 7[/tex]

problem decoded dude

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Answer:

The amount of interest for this loan is 16.6%.

Step-by-step explanation:

Since Levi will make a purchase for $ 3000 with your credit card, you should explore the two options you have:

-On the one hand, a down payment of $ 1000, with fees of $ 125.

-on the other, a down payment of $ 1,300, with fees of $ 110.

In both cases, the fees are the same, and the interest too. Therefore, to determine the amount of installments and interest, the difference between the down payment of one option and the other must be taken and divided by the difference between the value of the installments of either option.

Thus, the difference of the down payment of 300 (1300 - 1000) must be divided by 15 (125 - 110). This yields a result of 20 (300/15), with which that will be the total of quotas until both have paid the same amount of money.

Thus, given that 1300 + 110 x 20 = 3,500, and that 1000 + 125 x 20 = 3,500, in both cases the total value to be paid is $ 3,500. Since 500 is 16.6% of 3000, the total purchase interest will be 16.6%.

Answer:

1- b. False

2 b. We are 95% confident that the true mean is between 76.08 and 83.92.

Step-by-step explanation:

Confidence Interval is the estimated value that is computed from the statistic of data which is observed. The range value is plausible for unknown parameters. To find the critical value the confidence interval value is observed through the t-value table.

Answer:I believe that it is A but i am not fully sure

Step-by-step explanation:

Answer:

Each persons share is 6.03

Step-by-step explanation:

Divide the total cost by the number of students

48.24 / 8

6.03

Each persons share is 6.03

Answer:

$6.03

Step-by-step explanation:

A group of 8 students paid $48.24 for food.

Each of their shares would be divided among the 8 students.

48.24/8=6.03

Each student paid a share of $6.03.

Take an arbitrary vector (x, y, z), which goes from the origin to some point (x, y, z) on the plane we want to find.

Subtract from this vector, the vector that points to [tex]P_0[/tex], which is (-3, 3, 1). This translates the first vector so that it starts at the point [tex]P_0[/tex] and is directed at some point (x, y, z). We get a new translated vector, (x + 3, y - 3, z - 1), which lies in the plane.

The normal vector to the plane is orthogonal to every vector in the plane. So taking the dot product of any vector in the plane with the normal to the plane will always result in 0. We use this to find the plane's equation:

[tex]\vec n\cdot((x,y,z)-P_0)=(1,4,-3)\cdot(x+3,y-3,z-1)=0[/tex]

[tex]\implies(x+3)+4(y-3)-3(z-1)=0[/tex]

[tex]\implies x+4y-3z=6[/tex]

and so the answer is D.

Answer:

(a)y=6x+33

(b)$117

Step-by-step explanation:

If a  customer uses 12 GB, the monthly cost will be $105.

If the customer uses 34 GB, the  monthly cost will be $237.

given that

We have the pairs: (12, 105) and (34, 237)

(A)To determine the straight-line equation, we first determine the slope, m.

[tex]m=\dfrac{237-105}{34-12}\\\\=\dfrac{132}{22}\\\\m=6[/tex]

Substitution into y = mx + b, we have: y=6x+b

Next, we determine the value of b

When y=105, x=12

105=6(12)+b

b=105-6(12)=33

Therefore, an equation in the form y = mx + b is:

y=6x+33

(B)

Total Cost, y=6x+33

When 14 GB are used, i.e. x=14

y=6(14)+33

y=$117

If 14 GB are used, the total cost will be 117 dollars.

Answer:

Option D is correct

Step-by-step explanation:

Applying the cosine theorem for triangle ABC, you would have:

cos (angle BAC) = (BA^2 + CA^2 - BC^2)/(2*BA*CA)

                           = (10^2 + 18^2 - 20^2)/(2*10*18)

                           = 24/360

=> angle BAC = ~86 deg

Hope this helps!

Answer:

360 cm^2

Step-by-step explanation:

First find the area of the bottom

10*10 = 100

The find the area of one of the triangular shapes

A = 1/2 bh since it is a triangle

A = 1/2 ( 10)*13 = 65

Since there are 4 triangles ( 1 for each side), multiply by 4

4*65 = 260

Add the areas together

260+100 = 360

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer:  x = -2 + 2 i or x = -2 - 2 i

Answer:

X<3

Step-by-step explanation:

4x-7 <5

4x < 5+7

4x < 12

X < 12/4

X < 3

Hope this helps..

Good Luck!

Answer:There you go X is the middle, a only brother, b only sister.

a X =11

b X =9

a b X =14 (20-6)

a b 2x=20

X=6

So 6 in the middle, 6 on the outside, 5 only brothers, 3 only sisters. let me know if I missed anything but we have a total of 20, 6 with none, 11 with brothers and 9 with sisters

Step-by-step explanation:

Answer:

[tex]180[/tex]

Step-by-step explanation:

[tex]6 \times 2 \times 3 \times 5[/tex]

[tex]12 \times 15[/tex]

[tex]=180[/tex]

Steps to solve:

6 * 2 + 3 - 5

~Multiply

12 + 3 - 5

~Add

15 - 5

~Subtract

10

Best of Luck!

Answer:

9 bags

Step-by-step explanation:

130, 134, 136, 145, 145, 147, 147, 151, 154

9 bags had at least 130 peanuts.

62 = 12.

7 x 0 = 7.

Four hundred and eight is written as 4008.

0.10 = point ten.

0.5 x 10 = 0.50.

6 -:- ½ = 3.

- 5 + 3 = -8.

4% is 0.4 as a decimal.

Answer:

19305

Step-by-step explanation:

We simply take the percentage of 29700 to find how many people were added.

29700(0.35) = 10395 <== so 10395 people have been added

Subtract it from the current:

28700 - 10395 = 19305 people before.

Answer:

-2

Step-by-step explanation:

the power is 2 for (x+2) so it will touch the axis

thepower of (x-5) is 3 so it will cross the axis

the correct answer is then -2

hope this helps

Answer:

B. -2

Step-by-step explanation:

Answer:

9+1224+12=1245

Hope this helps

Answer:

Mathematically,

9+1224+12 = 1245

But, Logically, here:

9+1224+12 = 21

Answer:

11x + y = -28

Step-by-step explanation:

Step 1: Find slope

(6-5)/(-2--3) = -11

Step 2: Find y-intercept

y = -11x + b

5 = -11(-3) + b

5 = 33 + b

b = -28

Step 3: Write in slope-intercept form

y = -11x - 28

Step 4: Convert to standard form

11x + y = 28

And we have our final answer!

Corrected Question

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home.  Where is the gym?

Answer:

(D)15th Street and 14th Avenue

Step-by-step explanation:

Ping's Location: (3rd Street, 6th Avenue)

Ari's Location: (21st Street, 18th Avenue)

The gym is at point P which is [tex]\dfrac{2}{3}[/tex] the distance from Ping's home to Ari's home.

That is, Point P divides the line segment in the ratio 2:1.

We use the section formula:

[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]

m:n=2:1, [tex](x_1,y_1)=(3,6), (x_2,y_2)=(21,18)[/tex]

[tex]=\left(\dfrac{2*21+1*2}{2+1}, \dfrac{2*18+1*6}{2+1}\right)\\=\left(\dfrac{45}{3}, \dfrac{42}{3}\right)\\=(15,14)[/tex]

The gym is located at 15th Street and 14th Avenue.

Based on the information given, the null hypothesis will be that there's no difference in the distribution of current sales.

The alternate hypothesis will be that's there's a difference in the distribution of current sales.

Also, it should be noted that the test statistic is 23.0951. The p-value is 0.00003 and the conclusion is that the distribution of sales among the departments has changed.

Learn more about null hypothesis on:

https://brainly.com/question/15980493

The null hypothesis would be that there is no difference in the prevalence of current sales based on the information provided. This alternative hypothesis says there was variance in the distribution of current sales.

Learn more:

brainly.com/question/14578907

Answer:

B and D

Step-by-step explanation:

edge 2021

Answer:

yesseinafhinks

Step-by-step explanation:

Dividing by 10² is also the same thing as multiplying by 10^-2. In that case, we simply move the decimal places only 2 places back. That would give us 7.516, not 0.7516 (which is 3 times, not 2).

Answer:

All rhombi are parallelograms.

All squares are rhombi.

No trapezoid is a rectangle.

Answer:

A = 45 units^2

Step-by-step explanation:

This is a trapezoid

A = 1/2 (b1+b2) h

b1 is the top = 7

b2 is the bottom = 11

h = 5

A = 1/2 ( 7+11) *5

A = 1/2 ( 18)*5

A = 45 units^2

Answer:

1 - c

2 - a

3 - e

4 - d

5 - b

Answer:  c, a, e, d, b

Step-by-step explanation:

1. Angle: (c) A figure consisting of two rays with the same endpoint.

2. Circle: (a) The set of all points in a plane that are a given distance from a point. That distance is called the radius.

3. Point: (e) A location, has no size.

4. Ray: (d) The portion of a line that starts at one point and goes off to infinity.

5. Vertex: (b) A point where two or more rays or "arms" of an angle meet.

Answer:The answer is B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Cos A = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Where Adjacent = 28, Hypotenuse = 197

Cos A = [tex]\frac{28}{197}[/tex]