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3 years ago

11

A family drives 412 miles in 110 of an hour. What is their rate of speed in miles per hour?

1 answer:

vladimir2022 [97]3 years ago

5 0

Answer:

3 41/55 miles per hour

Step-by-step explanation:

412/110= 3 41/55

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A computer is used to generate passwords. Passwords are made up of numbers from 1–8 and lowercase letters. The computer generate

Snezhnost [94]

4/8 simplified to 1/2 because out of eight there are 4 even and 4 odd numbers 0.50

4 0

3 years ago

Write 5/z^-3 as a positive exponent

levacccp [35]

The correct answer will be 5z^3

8 0

3 years ago

HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?

tangare [24]

Answer:

$y=-(x-7)(x+3)$

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

$y=-(x+3)(x-7)$ but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is $y=a(x-h)^2+k$ .

This is called vertex form because it gives you the vertex is $(h,k)$ .

We are given that $(h,k)=(2,25)$ which makes our equation:

$y=a(x-2)^2+25$ .

We can find the value of $a$ by plugging in the x-intercept (7,0) for $(x,y)$ into:

$y=a(x-2)^2+25$

$0=a(7-2)^2+25$

$0=a(5)^2+25$

Subtract 25 on both sides:

$-25=a(5)^2$

$-25=a(25)$

Divide both sides by 25:

$\frac{-25}{25}=a$

$-1=a$ .

So the equation for the quadratic is:

$y=-1(x-2)^2+25$

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

$y=-1(x-2)(x-2)+25$

$y=-1(x^2-2x-2x+4)+25$

$y=-1(x^2-4x+4)+25$

$y=-x^2+4x-4+25$

$y=-x^2+4x+21$

Factor out -1:

$y=-(x^2-4x-21)$

WE need to find two numbers that multiply to be -21 and add to be -4:

$y=-(x-7)(x+3)$

8 0

3 years ago

Read 2 more answers

The following are the ages (years) of 5 people in a room:

juin [17]

Answer:

10

Step-by-step explanation:

14+14+18+18+22=86

6*16=96

96-86=10

7 0

3 years ago

Read 2 more answers

X to the power of 3 - 7x + 6 factorise please whole step by step

Over [174]

Answer:

$(x + 3)(x - 2)(x - 1)$

Step-by-step explanation:

${x}^{3} - 7x + 6$

Factor using Rational Root Theorem.

This means our possible roots are

positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.

This means that

$(x - 1)$

is a root.

We can divide the top equation by the root (x-1). Our new equation is

$( {x}^{2} + x - 6)$

Now we can factor this completely

$(x + 3)(x - 2)$

So this equation in factored form is

$(x + 3)(x - 2)(x - 1)$

8 0

3 years ago