I will brainliest if correct! The graph of an exponential model in the form y=aXb^x passes through the points (3,5) and (4,10). Which point is also on the graph?

Answer:

number 1: {0,-6)    number 2: f(-2)=25 number 3: x=±10   number 4:B, or x=-2, x=3

number 5:36  i really hope this helps! have a good day!

Step-by-step explanation:

1: 2x^2+12x +0=0

this is how you set it up

next, you have to find the a,b,and c. This is my personal favorite way of doing this.

a=2 b=12, c=0

you plug it in to the quadratic formula which is

-b±√b^2-4ac/2a

(-12)±√(12)^2-4(2)(0)/2(2)

next you have to simplify

-12±√144-0/4

take the square root of 144

-12±12/4-

then, find the solutions of them

-12+12=0

0/4=0

x=0

we are not done yet

-12-12=-24

-24/4

x=-6

your solutions are 0,-6, which is C

2: it is giving us x, which is -2

plug in -2 to the right side of the equation.

2(-2)^2-4(-2)+9

2(4)-8+9

8-8+9

f(-2)=9

3: this one is fairly simple

x^2=100

take the square root of each side

x=±10

4: you have to replace y for 0 in this one

x^2-x-6=0

all you have to do is factor it out, and it turns into

(x+2)(x-3)

then turn these so they equal 0

x+2=0, x-3=0

x=-2     x=3

your answer would be B

5: this one is fairly simple too

the formula to completing the square is (b/2)^2

you plug in b, which is 12

12/2=6

6^2=36

you would add 36 to each side.

Answer:

7) {0, -6}

1) 25

2) x= ±10

3) x= 3, -2

4) 36

5) 225/4

6) x = -3±[tex]2\sqrt{3}[/tex]

Step-by-step explanation:

1) 2x^2 -4x + 9

2(-2)^2 - 4(-2) + 9

8+ 8 + 9

25

Answer:

14kilometers

Step-by-step explanation:

diameter=2*radius.

Answer:

c = 1.05p

Step-by-step explanation:

the price of the hat before the increase was 100%, after the increase it becomes 100 + 5% = 105%. Representing it as a decimal becomes 1.05p

Let illustrate with an example.

The price of a hat was $100, after the 5% increase. the cost of the hat becomes

100 + (0.05 x 100) = 105

To find the percentage increase

divide 105 by 100 and subtract 1

(105/100) - 1 = 1.05

Answer:

1 560 000 miles / hr

Step-by-step explanation:

Answer:

Factor x^3+8x^2+6x+48. x3+8x2+6x+48 x 3 + 8 x 2 + 6 x + 48. Factor out the greatest common factor from each group.

So many confusing details. So, I rephrase the question as:

Four volunteers picked up litters from the park.

Dominic collect 15 pieces less than Sarah. Sarah collects 12 more pieces than Piper. Piper collected 1/4 as many pieces of letter as Vaughn. Vaughn has collected nine more pieces of letter than everyone else combined. Let x represent the number of pieces of litter in Vaughn's Collection. Find x

Answer:

[tex]x = 72[/tex]

Step-by-step explanation:

Let:

[tex]D = Dominic;\ \ S = Sarah;\ \ P = Piper;\ \ V = Vaughn[/tex]

From the [rephrased] question, we have:

[tex]D = S - 15[/tex]

[tex]S = 12 + P[/tex]

[tex]P = \frac{1}{4}V[/tex]

[tex]V = 9 + D + S + P[/tex]

Substitute [tex]S = 12 + P[/tex] in [tex]D = S - 15[/tex]

[tex]D = 12 + P - 15[/tex]

[tex]D = P+12 - 15[/tex]

[tex]D = P-3[/tex]

Make V the subject in [tex]P = \frac{1}{4}V[/tex]

[tex]V = 4P[/tex]

Substitute: [tex]V = 4P[/tex], [tex]D = P-3[/tex] and [tex]S = 12 + P[/tex] in [tex]V = 9 + D + S + P[/tex]

[tex]4P= 9 + P - 3 + 12 + P +P[/tex]

Collect like terms

[tex]4P - P -P-P= 9 - 3 + 12[/tex]

[tex]P= 18[/tex]

Substitute [tex]P= 18[/tex] in [tex]S = 12 + P[/tex]

[tex]S = 12 +18[/tex]

[tex]S = 30[/tex]

Substitute [tex]S = 30[/tex] in [tex]D = S - 15[/tex]

[tex]D = 30 - 15[/tex]

[tex]D =15[/tex]

Substitute [tex]D =15[/tex], [tex]S = 30[/tex] and [tex]P= 18[/tex] in [tex]V = 9 + D + S + P[/tex]

[tex]V = 9 + 15 + 30 + 18[/tex]

[tex]V = 72[/tex]

x represents the number collected by Vaughan.

So:

[tex]x = 72[/tex]

Answer:

15years

Step-by-step explanation:

Given data

Rate= 9%

Principal= $2000

Final amount= $4700

The simple interest formula is given as

A= P(1+rt)

Substitute

4700=2000(1+0.09*t)

4700= 2000+ 180t

4700-2000= 180t

2700=180t

t= 2700/180

t= 15 years

Hence the time is 15years

Answer:

x, y

Step-by-step explanation:

Step-by-step explanation:

step 1. x - 70 = 135

step 2. x = 205. add 70 to each side

Answer:

Sorry this question does not make any sense.  Delete it and re-type the equations correctly.

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Explanation: In a triangle, there can only be one obtuse angle. Additionally, all the angle measures must add up to 180.

Answer:

Well you have to solve each problem first to make them the same. Let's do decimals.

a) The square root of 58 is 7.61577310586. Let's round that to 7.62. You can solve this with a calculator.

b) Simply -32.0, since it is a whole negative number.

c) I think there's a typo, 'C' is the second 'b)', which is 49/7. 49 divided by 7 is seven, hence the decimal would be 7.0

d) 2.65 repeated, already a decimal, does not need changed.

e) The square root of 6 is 2.44948974278. Let's round that to 2.45.

f) is just 0. no decimal, just 0.

Now that you have these as the same form of number, you have to put them into one of these categories. The categories can be found below.

Any square root number is irrational. Any never ending number is irrational, like pi, but there are none of those in this situation. So a, and e are all irrational.

Any repeated number, in this case, 2.65 repeated, is a rational number, as is any decimal or fraction, but there are none of these, so d is rational.

-32 is and integer, because it is a negative whole number, so b is an integer.

Whole numbers are any numbers 0+. So f is the only answer that is a whole number.

Natural numbers are any numbers 1+. So c or the second b is a natural number.

Hope this helps :)

Stay Cold,

Brook

Answer:

x= 3.5

Step-by-step explanation:

Answer:

ez

Step-by-step explanation:

The solution is, A. & E. x=15/3/4.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that,

3/4x = 15

x= 15÷3/4

x=15/3/4

Hence, The solution is, A. & E. x=15/3/4.

To learn more on equation click:

brainly.com/question/24169758

#SPJ5

Answer:

Step-by-step explanation:

f(x)= 36( 1 - 0.12)^x. F(x)= 36(0.88)^3. f(x)= 95.04    190-95.05 = 94.95 degree.

Because the temperature is going down, we will use (1-0.12) instead of (1+0.12). X=3 because it is what temperature after 3 min. x= time.

I don't understand the question that well, but please don't report me. I will fix it if I can.

Answer:

Step-by-step explanation:

m = 1 / 2 = 0.5

Answer:

hello gimme-Dem points.

Step-by-step explanation:

Answer:

I don't know look it up lol

Step-by-step explanation:

that's what I did go to answers. com that's where I get all my answers that brainly doesn't provide that or ask a tutor

Answer:

This is undercoverage bias because only those attending the concert will have an opportunity to register an opinion.

Step-by-step explanation:

Undercoverage bias occurs when the sample chosen for a research is not representative of the entire population. Most times when research involving surveys to obtain the opinions of people on a subject matter, the entire population affected by the issue cannot be surveyed. A sample that represents the true population can be used for this research.

In the survey above, the sample that was surveyed was not representative of the entire population of citizens paying taxes on entertainment tickets. The selection process does not represent the true population.

Answer:

b on ed

Step-by-step explanation:

right

Answer:

He has 1/3 of a jug left.

Step-by-step explanation:

He starts with 1 1/3 jugs.

He uses 3/4 of 1 1/3 jugs.

A full amount is 1 or 4/4. If he uses 3/4, he has 1/4 left since

1 - 3/4 = 4/4 - 3/4 = 1/4

That means he has 1/4 of 1 1/3 jugs left.

We need to multiply 1/4 by 1 1/3.

1/4 * 1 1/3 =

= 1/4 * 4/3

= 4/12

= 1/3

Answer: He has 1/3 of a jug left.

Answer:

847.8 sq meters

Step-by-step explanation:

Formula:

A= 2πrh + 2πr^2

A= 2(3.14)(9)(6) + 2(3.14)9^2

A= 339.12 + 508.68

A= 847.8

Answer:

100 bicycle

Step-by-step explanation:

Given the cost c in dollars of manufacturing x bicycles at a production plant expressed as C(x)=5x^2-1000x+63,500.

x is the number of bikes

To minimize the cost, dC/dx = 0

dC/dx = 10x - 1000

Since dC/dx = 0

0 = 10x - 1000

-10x = -1000

x = 1000/10

x = 100

Hence the number of bicycles that must be manufactured to minimize the cost is 100 bicycle

Answer:

(x-4.34)(x+1.84)=0

Step-by-step explanation:

2x^2 -5x-16=0

delta=

[tex]25 + 4 \times 2 \times 16 = 153[/tex]

x1,2=

[tex](5 + \sqrt{153} ) \div 4 = 4.34 \\ (5 - \sqrt{153} ) \div 4 = - 1 .84[/tex]

Answer:

20

I assume the question asks how many chair legs there are in total.

If a chair has four legs and you have five chairs, you would multiply 5 times 4.

5 times 4 = 20

Answer:

1,124.12 mm

Step-by-step explanation:

Steps to answering this question :

First determine the radius of the circle from the area of the circle

Use the radius determined above to calculate the circumference

Area of a circle = nr²

where r = radius

n = pi = 3.14

100,608.7mm = nr²

to determine the radius, divide both sides of the equation by 3.14

32,040.98726mm = r²

Find the square root  of 32,040.98726mm

√32,040.98726mm

r = 179mm

Circumference of a circle = 2nr

2 x 179 x 3.14 = 1,124.12 mm

Answer:

Step-by-step explanation:

Volume of triangular prism=120in³

Area of triangle ×length =120in³

1/2×6×x×4=120in³

12x=120

X=120/12=10in

Answer:

Slope is 5

Y-intercept is 35