Help me out please thanks

Given:

For en exponential function f(a):

[tex]f(-3)=18[/tex]

[tex]f(1)=59[/tex]

To find:

The value of f(0).

Solution:

The general form of an exponential function is:

[tex]f(x)=ab^x[/tex]          ...(i)

Where, a is the initial value and b is the growth/ decay factor.

We have, [tex]f(-3)=18[/tex]. Substitute [tex]x=-3,f(x)=18[/tex] in (i).

[tex]18=ab^{-3}[/tex]            ...(ii)

We have, [tex]f(1)=59[/tex]. Substitute [tex]x=1,f(x)=59[/tex] in (i).

[tex]59=ab^{1}[/tex]            ...(iii)

On dividing (iii) by (ii), we get

[tex]\dfrac{59}{18}=\dfrac{ab^{1}}{ab^{-3}}[/tex]

[tex]3.278=b^{1-(-3)}[/tex]

[tex]3.278=b^{4}[/tex]

[tex](3.278)^{\frac{1}{4}}=b[/tex]

[tex]1.346=b[/tex]

Substituting the value of b in (iii).

[tex]59=a(1.346)^1[/tex]

[tex]\dfrac{59}{1.346}=a[/tex]

[tex]43.83358=a[/tex]

[tex]a\approx 43.83[/tex]

The initial value of the function is 43.83. It means, [tex]f(0)=43.83[/tex].

Therefore, the value of f(0) is 43.83.

The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%

Answer:

0.848p

Step-by-step explanation:

Price of phone = p

Sales tax = 6%

Discount on sale = 20%

With a 20% discount, the discounted price of the phone will be :

100%p - 20%p = 80%p = 0.8p

The sales tax will increase the price thus ;

0.8p + 6% of 0.8p

0.8p + 0.06 * 0.8p

0.8p + 0.048p

The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p

Answer:

(-6,1) got you homie

Step-by-step explanation:

Answer:

65.76 m

Step-by-step explanation:

This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.

Starting with the triangle:

1/2(b*h)=a

We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:

1/2*15=a or 15/2=a

a=7.5

Then we calculate the area of the rectangle:

l*w=a

5*6=a

30=a

Then the area of the semi circle:

First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):

3.14*r^2=a

3.14*3^2=a

3.14*9=a

28.26=a

Finally, we add all three areas from above:

7.5+30 + 28.26 = 65.76

Answer:

(x - 1)(5x - 6)

Step-by-step explanation:

Given

5x² - 11x + 6

Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)

ac = 5 × 6 = 30 and b = - 11

The factors are - 5 and - 6

Use these factors to split the x- term

5x² - 5x - 6x + 6 ( factor the first/second and third/fourth terms )

= 5x(x - 1) - 6(x - 1) ← factor out (x - 1) from each term

= (x - 1)(5x - 6)

Answer:

x = 3

Step-by-step explanation:

2(5x - 3) = 24

Divide both sides by 2.

5x - 3 = 12

Add 3 to both sides.

5x = 15

Divide both sides by 5.

x = 3

Answer:

I hope the pic i gave is helpful!!!

Answer:

biggafigure a

mnn

Step-by-step explanation:

Answer:

M = 52* H

"miles equals 52 times hours driven"

Step-by-step explanation:

The length of JD is 19

The distance between two ends of a line segment can be used to calculate its length. It is the path that connects the two points and has a known length.

Given

JD = JP-DP = 57-38 =19

To learn more about line refer to:

https://brainly.com/question/22263461

#SPJ2

Hi there!

[tex]\large\boxed{h = 8in}[/tex]

Area of a triangle:

A = 1/2(bh)

Plug in given values:

60 = 1/2(15h)

Solve for h. Multiply both sides by 2:

120 = 15h

Divide both sides by 15:

120/15 = h

h = 8 in

Answer:

8 inches

Step-by-step explanation:

Area of a triangle: [tex]\frac{1}{2}BH[/tex]

[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT

8 inches

Hope this helped! Please mark brainliest :)

Answer:

G

Step-by-step explanation:

I did this on edge and it was right

Answer:

O  Point G

Step-by-step explanation:

A = -6

B = 8

To find the midpoint, calculate how much would it take for both points to have a value of zero.

-6 + ? = 0

-6 + 6 = 0

8 - ? = 0

8 - 8 = 0

so the midpoint will be about 7 (between 6 & 8)

Now which of the points best shows 7 units apart of AB

Answer: point G

Given:

Modeling: Slope intercept equation of a line

To find:

The slope intercept equation of a line.

Solution:

The slope intercept equation of a line is defined as:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

It means the line intersects the y-axis at (0,b).

For example: The slope of a line is 2 and its y-intercept is 1, then the slope intercept of the line is:

[tex]y=2x+1[/tex]

Therefore, the slope intercept form of a line is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

Answer:

7

Step-by-step explanation:

Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In this case:

(4x + 7) + (97) = (17x + 13)

4x + 104 = 17x + 13

4x + 91 = 17x

91 = 13x

7 = x

Answer:

y=40x+25

plz mark brainliest

Answer:

#1: (D) all real numbers greater than or equal to -3

#2: (D) It is not a function because there are two different y-values for a single x-value

#3: (A) all real numbers

#4: (B, C)

#5: (B) {y | y = -9, -3, 0, 5, 7}

Step-by-step explanation:

Question 1:

The domain of the function is all the input values, or the x values. The graph extends all the way to right infinitely. However, to the left, it ends at -3. Because the dot is filled, that means the domain INCLUDES -3. So it's (D).

Question 2:

By definiton, a function is a relation between a set of inputs and a set of outputs. However, each input only has ONE output.

If you noticed, there are two points: (4, 4) & (4, -2)

There are two different y-values, 4 & -2, for one x-value, 4.

Question 3:

The graph extends infinitely both directions, so it's all real numbers.

Question 4:

The amount of water DEPENDS on the amount of rice you put in, so the amount of water is the dependent variable. The rice doesn't depend on the amount of water, so it's the independent variable. (By the way, it's not the last option because you need two options)

Question 5:

The range of the function is the y values. So you are only going to put the y values from the coordinate points in the range. Thus, (B) is the answer.

Hope it helps (●'◡'●)

Step-by-step explanation:

C = 6 n + 4,500

the set up cost is represented by the initial value of the function, which is $4,500.

the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.

Hello,

f(x+5)=f(x)

Periode is 5

Answer:

It's 4 on acellus, not 5 :)

Step-by-step explanation:

Answer:

C; A singleton set

Step-by-step explanation:

Mathematically, when a number is non-negative; it is either positive or zero

Now, this is because 0 identifies as neither a positive or a negative number

hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0

What this mean is that we are having a set with a single number result

So we have our answer as {0}

Which is a singleton set

Answer:

60% of 20 pages = .6  * 20 = 12 pages

Step-by-step explanation:

Answer: a^2 + b^2 = c^2

c^2 - a^2 = b^2 \/---

b^2

Step-by-step explanation: once completed you have ur answer

Answer:

[tex]\boxed {\boxed {\sf 18 \ yards}}[/tex]

Step-by-step explanation:

This triangle is a right triangle. We know this because of the small square in the corner representing a 90 degree angle. Therefore, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

In this formula a and b are the legs of the triangle and c is the hypotenuse.

In this triangle, the legs are 24 and a, because these sides form the right angle. 30 is the hypotenuse because it is opposite the right angle.

Substitute the values into the formula.

[tex]a^2+(24)^2=(30)^2[/tex]

Solve the exponents.

[tex]a^2+ 576=900[/tex]

We are solving for a, the missing side of the triangle. We must isolate the variable. 576 is being added. The inverse of addition is subtraction, Subtract 576 from both sides of the equation.

[tex]a^2+576-576=900-576\\a^2=900-576\\a^2=324[/tex]

a is being squared. The inverse of a square is a square root. Take the square root of both sides.

[tex]\sqrt{a^2}=\sqrt{324}\\a=\sqrt{324}\\a=18[/tex]

The missing side of the triangle is 18 yards.

Answer:

I'm sorry but no idea

Step-by-step explanation:

No idea

[tex]\displaystyle\ y^4 +5y^2+9=(y^2+3)^2-y^2=(y^2-y+3)(y^2+y+3)[/tex]

Answer:

Solution given;

[tex] y^{4}+5y²+9[/tex]

keeping [tex]y^{4} and 9 together [/tex]

[tex]y^{4}+9+5y²[/tex]

[tex](y²)²+3²+5y²[/tex].....[I]

we have

a²+b²=(a+b)²-2ab

or

a²+b²=(a-b)²+2ab

same like that

[tex](y²)²+3²=(y²+3)²-6y² or (y²-3)²+6y²[/tex]

remember that while adding or subtracting the left term 5y² either adding 6y²or subtracting 6y²

should make the term perfect square

while subtracting it makes perfect square

so

we take

(y²)²+3²=(y²+3)²-6y²

again

substituting value of

(y²)²+3² in equation 1 and it becomes

(y²+3)²-6y²+5y²

solve like terms

(y²+3)²-y²

again

we have

a²-b²=(a+b)(a-b)

by using this.

(y²+3+y)(y²+3-y)

rearrange it

(y²+y+3)(y²-y+3) is a required factorisation form.

Answer:

103 is my answer.

Step-by-step explanation:

hope it helps

Answer:

1 hour

Step-by-step explanation:

hope it helps ....

Step-by-step explanation:

hope it helps you...........

Answer:

30 palindromes!!!!!!!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

zero cannot be the first digit of the palindromes. There are nine other numbers that can be.

9 * 10

The last digit also cannot be zero so it has the same value as the first digit. (Otherwise the number cannot be palindromic) So you are really looking at only 90 numbers total.

That's not the question, but it does put a limit on how many there can be.

Let's find the first number (closest to 100 ) that is palindromic and divisible by 3.

I think 111 is the smallest.

Now what about the largest? That would be 999.

So what is the next number after 111? Wouldn't that be 141?

The difference between 111 and 141 is 30

It turns out that any first digit that is divisible by 3, has 4 palindromic numbers because for them, the second digit is a 0. So for 3 for example, you get

303

333

363

393

All the other numbers only have 3 entries for example, 1 gives you

111

141

171

So making a table we get

First digit                          Number of palindromes divisible by 3

1                                        3

2                                       3

3                                                   4

4                                       3

5                                       3

6                                                   4

7                                       3

8                                       3                                            

9                                                   4

                                       18         12

Total