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3 years ago

Solve and describe the steps used to find x for the equation : 7x - 4 = -4x + 18

Mathematics

2 answers:

nadya68 [22]3 years ago

5 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 2

Step-by-step explanation:

puteri [66]3 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

$7x - 4 = - 4x + 8 \\ 7x + 4x = 18 + 4 \\ 11x = 22 \\ x = 2$

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Divide ( - 3 z 2 – 15z )÷ ( z + 5 )

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Factor the numerator to get:

(-3z(z+5))/(z+5) now you notice that (x+5) cancel out leaving:

-3z

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3 years ago

2x − 2) + (x + 1) + x + (x + 1) = (2x − 9) + (x + 1) + (x + 8) + x,

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Answer:

x=1

Step-by-step explanation:

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ycow [4]

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3 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:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

Assume she starts from the origin (0,0)

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

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2 years ago

If a chicken lays 16 eggs every 40 days, what is the average number of eggs she lays per day?

Basile [38]

Answer:

40 / 16 = 2.5

Step-by-step explanation: ur telling me this is highschool math? lol. im in middle school but took this stuff in third grade.

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3 years ago

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