All categories

2 years ago

What is the answer to 3x-17=7x-9

Mathematics

2 answers:

yan [13]2 years ago

6 0

-17+9=7x-3x
-8=4x
-2=x

GrogVix [38]2 years ago

5 0

Answer:

x=-2

Step-by-step explanation:

-4x - 8 = -4 • (x + 2)

You might be interested in

You have 100$ in savings account and plan to deposit 20$ each month. Write and graph a linear equation that represents the balan

Nataly_w [17]

Answer:y=20x+100

Step-by-step explanation:

7 0

2 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

What is 20% of $2,500 how much money has it rased

Reptile [31]

2500 * 0.20 = 500 dollars

6 0

2 years ago

Here are the graphs of L(x) and R(x) what are the values of L(2) and R(2)

Sedaia [141]

Using the function graph given, it is found that:

L(2) = 7.

R(2) = 1.

When a piece-wise function is given, that is, a function that has <em>multiple definitions</em>, the numeric value at x when the definition changes is given by the closed circle.

For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.

For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.

To learn more about the use of graphs to analyze a function, you can take a look at brainly.com/question/21447009

3 0

2 years ago

A gym owner has some yellow weights and some red weights. The yellow weights are 6 kilograms each, and the red weights are 8 kil

gogolik [260]

Answer:

The store owner has two of each color weights

Step-by-step explanation:

6 0

2 years ago

What is the answer to 3x-17=7x-9​

What is the answer to 3x-17=7x-9