solve 3x-1=5x+7

Please help

Problem 1 (on the left)

It appears we have an exponential function curve through the points (0,4) and (1,7)

The general exponential function is of the form

y = a*b^x

The value of 'a' is the y intercept or initial value. So a = 4

Plug in (x,y) = (1,7) to help solve for b

y = a*b^x

y = 4*b^x

7 = 4*b^1

7 = 4b

b = 7/4 = 1.75

Therefore, the function is y = 4*(1.75)^x

These two facts help confirm we have the correct exponential equation.

===========================================================

Problem 2 (on the right)

The steps will follow the same idea as the previous question.

The exponential curve goes through (-1, 120) and (0,40)

We have a = 40 this time due to the y intercept (0,40)

Plug in the coordinates of the other point to find b

y = a*b^x

y = 40*b^x

120 = 40*b^(-1)

120 = 40/b

120b = 40

b = 40/120

b = 1/3

Answer:

10 feet

Step-by-step explanation:

Drawing obviously not to scale but... Red segment is the ruler, at least the part between 5 and 6 inches, 1 inch long. Brown segment is the pole, ground to the top. Leftmost point is the eye, green line is the horizontal. The triangles are similar (AAA, the vertical lines are parallel), the ratio of the side is the same as the ratio of the heights. The height of the larger triangle (measured across the green line is

[tex]40 yd \times 3\frac{ft}{yd} \times 12\frac{in}{ft}= 1440''[/tex].

Ratio of the height is then [tex]1440\div24 = 60[/tex].

At this point the height of the pole is 60 times the length of the measure on the ruler, or 60 inches, that is 5 feet. Add the 5 feet the pole was starting from, it's 10 feet.

Answer:

c. 141 eighth-grade band students

Part B:

y = 3x

1/3y = x

Answer: D

Step-by-step explanation:

The area of Square 4 is a2+2ab+b2

The area of Square 5 is 2ab+c2

Setting them equal to one another (a2+2ab+b2=2ab+c2) and simplifying yields that a2+b2=c2 (note that 2ab is what they have in common), which is Pythagoras' theorem.

Answer:

the answer is 56

Step-by-step explanation:

first off you need to add every number up which adds to be 336,

then you divide by the number of pieces in the data which in this case is 6,

366 divided by 6 is 56

I HOPE THIS HELPED!

Using an exponential function, it is found that the equation that represents the value of the car after 5 years is:

[tex]A(5) = 21800(0.905)^5 = 13234.25[/tex]

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, the car is purchased for 21,800 dollars, and it's value deprecites 9.5% per year, hence the equation for it's value after t years is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 21800(1 - 0.095)^t[/tex]

[tex]A(t) = 21800(0.905)^t[/tex]

After 5 years, the value is given by:

[tex]A(5) = 21800(0.905)^5 = 13234.25[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

hannah 54

raoul 9

Step-by-step explanation:

hannah _ 6x

raoul _ x

6x+x=63

7x=63

x=9

hannah _ 6×9=54

raoul _ 9

Answer:

3:4

Step-by-step explanation:

18inches : 2feet

18 inches: 2x12 =24 inches

18:24 - 3:4(divide by 6)

Answer:

$464

Step-by-step explanation:

Answer:

Third option

Step-by-step explanation:

Since our leading coeffeicent has a leading even degree, and a positive number,

The end behavior will as

as x approaches oo, and -oo, f(x) approaches oo.

Answer:

[tex]\sf x =15.5[/tex]

Step-by-step explanation:

[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=5[/tex]

[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=log_2 (32)[/tex]

[tex]\sf log_2\left\dfrac{(10x+5)}{5} =log_2 (32)[/tex]

[tex]\sf 2x+1 =32[/tex]

[tex]\sf 2x+1 -1=32-1[/tex]

[tex]\sf 2x =31[/tex]

[tex]\sf x =15.5[/tex]

Answer:

Step-by-step explanation:

[tex]log_{a}[/tex] [tex]x_{1}[/tex] - [tex]log_{a}[/tex] [tex]x_{2}[/tex] = [tex]log_{a}[/tex] [tex]\frac{x_{1} }{x_{2} }[/tex]

[tex]log_{a}[/tex] x = b ⇒ [tex]a^{b}[/tex] = x

~~~~~~~~~~~~~~

[tex]log_{2} (10x+5)[/tex] - [tex]log_{2} 5[/tex] = 5

[tex]log_{2} \frac{10x+5}{5}[/tex] = 5

[tex]\frac{10x+5}{5}[/tex] = [tex]2^{5}[/tex]

10x + 5 = 32 × 5

2x + 1 = 32

x = 15.5

Answer:

81

Step-by-step explanation:

Knowing that;

∠ EHD and ∠FHC are vertical angles.

since, ∠FHC = 81 Thus, ∠EHD = 81

Look at picture below for more information;

~Learn with Lenvy~

Answer:

81

Step-by-step explanation:

Given;

If m ∠FHC = 81 °, then what is m ∠ EHD?

Solve;

∠ EHD and ∠FHC are vertical angles.

Vertical angles ⇒  a pair of opposite angles formed by intersecting lines.

Since, ∠FHC = 81 hence,  ∠EHD  also = 81

[RevyBreeze]

Answer:

I believe the answer is C.

[tex] \sqrt{35} [/tex]

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation:

I got it right on Edge.

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation it took the test

Answer:

A.

One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.

d(x) = y = 5x

d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.

B.

Now if he ran 10 miles a day, just substitute 10 for x.

d(10) = y = 5(10) = 50

Answer:

105

Step-by-step explanation:

150-30%= 105

Have a wonderful day!

Answer:

The total is $105

Step-by-step explanation:

To get a percentage of a number first convert the percentage to a regular number with a decimal

30.0% would be 0.3 because you move the decimal two spots to the left

you then multiple your new number 0.3 with the original price to get 45

because it is a discount it means we will reduce the price or subtract from it

150 - 45 = 105

I hope this helps

Answer: 578

Step-by-step explanation:

12 x 7 = 84

13 + 8 + 4 + 10 = 25

25 x 14 = 350

4 x 10 = 40

8 x 13 = 104

84 + 350 + 40 + 104 = 578

Answer:

[tex]10.67\pi[/tex] OR [tex]33.49[/tex]

Step-by-step explanation:

Volume of a Sphere: [tex]\frac{4}{3} *\pi*r^3[/tex]

Radius = 2

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *\pi*2^3[/tex]

[tex]\frac{4}{3} *\pi*8[/tex]

[tex]10.67\pi[/tex]

OR

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *3.14*2^3[/tex]

[tex]\frac{4}{3} *3.14*8[/tex]

[tex]\frac{4}{3} *25.12[/tex]

[tex]33.49[/tex]

Hope this helps!

Answer:

y = - (x - 3)² + 15

Step-by-step explanation:

using the method of completing the square

y = x² + 6x + 6 ← factor out - 1 from the first 2 terms

y = - (x² - 6x) + 6

to complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = - (x² + 2(- 3)x + 9 - 9) + 6

  = - (x - 3)² + 9 + 6

  = - (x - 3)² + 15

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation:

These are all of the steps

The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function

It will take 5 seconds for the coin to hit the ground

The function is given as:

[tex]y = -5t^2 + 125[/tex]

When the nickel hits the ground, the value of the function is:

y = 0

So, we have:

[tex]-5t^2 + 125 = 0[/tex]

Subtract 125 from both sides

[tex]-5t^2 =- 125[/tex]

Divide both sides by -5

[tex]t^2 =25[/tex]

Take the square root of both sides

[tex]t = 5[/tex]

Hence, it will take 5 seconds for the coin to hit the ground

Read more about quadratic functions at:

https://brainly.com/question/1214333

Answer:

16

Step-by-step explanation:

You're doing a subtraction problem between (x+5) and (2x+3)

(x+5) - (2x+3) =

**You need to solve for x first then plug it in to find the answer.***

(I had to break the parentheses because that is the only way to solve)

-x +8

x= -8

-8 + 5 - (-16+3)

-3 + 16 + 3

13 + 3 = 16

Answer:

-x+2

Step-by-step explanation:

(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2

The expression of [tex]\sqrt{[/tex](16a^4x^6) is an algebraic expression

The equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3

The expression is given as:

[tex]\sqrt{[/tex](16a^4x^6)

Expresss 16 as the square of 4

[tex]\sqrt{[/tex](16a^4x^6) = [tex]\sqrt{[/tex](4^2a^4x^6)

Evaluate the square root of each factor in the expression

[tex]\sqrt{[/tex](16a^4x^6) = 4a^2x^3

Hence, the equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

5a - 4b

Step-by-step explanation:

= 8a - 6b - 3a +2b

= 8a - 3a - 6b + 2b

= 5a - 4b

Hope it helps :)

Answer:

5a - 4b

Step-by-step explanation:

9⁻³ / 9¹² = 9⁻³⁻¹² = 9⁻¹⁵

Answer:

[tex]9^-^1^5[/tex]

Step-by-step explanation:

[tex]\frac{9^{-3}}{9^{12}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=9^{-3-12}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:-3-12=-15[/tex]

[tex]=9^{-15}[/tex]

Answer [tex]=9^{-15}[/tex]

~Learn with Lenvy~

Answer:

16/81

Step-by-step explanation:

(-2/3)^4

expand...

-2/3*-2/3*-2/3*-2/3

multiply

numerator: -2*-2*-2*-2=16

denominator: 3*3*3*3=81

Thus the fraction is 16/81

Hope this helps!!!

Answer:

~21.23

Step-by-step explanation:

First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.

Hope this helps!

Give me brainliest too ;)

Answer: 21.23

Step-by-step explanation:

The formula for finding the area of  a circle is pi times  radius squared.

Reflecting the archaeological dig implies that the dig is flipped

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

The coordinates of the rectangle are given as:

(5,2) , (5,9) , (10,9) , (10,2)

When reflected across the x and the y axes, the transformation rule is:

[tex](x,y) \to (-x,-y)[/tex]

So, the new coordinates are:

(-5,-2),(-5,-9),(-10,-9),(-10,-2)

This means that:

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

Read more about reflection at:

https://brainly.com/question/4289712

Answer:

(a) Kaylee earns $19.50 per hour.

(b) Kaylee earns more per hour.

Step-by-step explanation:

a)

[tex]m[/tex] = $ per hour

[tex]y = mx[/tex]

[tex](39) = m(2)[/tex]

[tex](39 = m(2)) = 19.50 = m[/tex]

b) Kaylee earns more per hour

Kaylee earns $19.50 per hour and Joey earns $16.50 per hour.