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ASHA 777 [7]
2 years ago
13

10 Points + Brainliest this is half of my points please will mark brainliest

Mathematics
1 answer:
Inessa [10]2 years ago
6 0

Step-by-step explanation:

the answer is in the above image

use the app DESMOS it really helps

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HELP!!! URGENT!!! I WILL GIVE BRAINLEIST THING ​
lisov135 [29]

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = \frac{1}{3}x^{2}-2x+8

Here x = rider's horizontal distance from the start of the ride

i). y=\frac{1}{3}x^{2}-2x+8

      =\frac{1}{3}(x^{2}-6x+24)

      =\frac{1}{3}[x^{2}-2(3x)+9-9+24]

      =\frac{1}{3}[(x^{2}-2(3x)+9)+15]

      =\frac{1}{3}[(x-3)^2+15]

      =\frac{1}{3}(x-3)^2+5

ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

    From the equation,

    Vertex → (3, 5)

    Therefore, minimum height of the rider will be the y-coordinate of the vertex.

    Minimum height of the rider = 5 m

iii). If h = 8 m,

    8=\frac{1}{3}(x-3)^2+5

    3=\frac{1}{3}(x-3)^2

    (x - 3)² = 9

    x = 3 ± 3

    x = 0, 6 m

    Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

6 0
2 years ago
Clarice Sloan is a shift supervisor for Ace
Igoryamba

The net pay is the amount left after taxes and deductions have been removed from the gross pay.

Her monthly gross pay is: $4111.93

The deductions are:

\mathbf{FIT = \$102}

\mathbf{SIT = 3.2\%}

\mathbf{CIT = 1.8\%}

Let her gross pay be x.

So, we have:

\mathbf{Net = x - FIT - x \times SIT - x \times CIT}

So, we have:

\mathbf{3804.33 = x - 102 - x \times 3.2\%- x \times 1.8\%}

Express percentage as decimals

\mathbf{3804.33 = x - 102 - x \times 0.032- x \times 0.018}

\mathbf{3804.33 = x - 102 - 0.032x -  0.018x}

Add 102 to both sides

\mathbf{3906.33 = x - 0.032x -  0.018x}

\mathbf{3906.33 = 0.95x}

Divide both sides by 0.95

\mathbf{4111.93 = x}

Rewrite as:

\mathbf{x = 4111.93 }

Hence, her monthly gross pay is: $4111.93

Read more about gross and net pay at:

brainly.com/question/8952173

4 0
2 years ago
Describe two ways to solve the equation 2(4x-11)=10
lora16 [44]
One way is to:

First, multiply 2 by the term inside the parenthesis.

Second, add eleven on both sides.

Third, divide using 4x on both sides.

This will give you your first method.
7 0
3 years ago
Read 2 more answers
Prove divisibility 45^45·15^15 by 75^30
Anuta_ua [19.1K]

Answer:

3^{75}

Step-by-step explanation:

We are asked to divide our given fraction: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(3*15)^{45}=3^{45}*15^{45}

75^{30}=(5*15)^{30}=5^{30}*15^{30}

Substituting these values in our division problem we will get,

\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}

Using power rule of exponents a^m*a^n=a^{m+n} we will get,

\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}

\frac{3^{45}*15^{60}}{5^{30}*15^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{45}*15^{60-30}}{5^{30}}

\frac{3^{45}*15^{30}}{5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{3^{45}*(3*5)^{30}}{5^{30}}

\frac{3^{45}*3^{30}*5^{30}}{5^{30}}

Upon canceling out 5^{30} we will get,

3^{45}*3^{30}

Using power rule of exponents a^m*a^n=a^{m+n} we will get,

3^{45+30}

3^{75}

Therefore, our resulting quotient will be 3^{75}.

8 0
2 years ago
Help? *****10 Points*****
Luda [366]
I think the answer is the third one
3 0
2 years ago
Read 2 more answers
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