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3 years ago

10

Three friends are training for a race. Last week, Jacquis ran 3 more miles than Ellen. Miryana ran 1.5 miles as far as Jacquis.

If Miryana ran 7 miles last week, how many miles did Ellen run?

2 answers:

True [87]3 years ago

4 0

Ellen ran 2.5 miles set each up as an equation and plug in to see if it’s correct

maks197457 [2]3 years ago

3 0

ellen ran 2.5 miles last week

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Step-by-step explanation:

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The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

podryga [215]

Answer:

$g(x)=-2\sqrt[3]x$

or

$g(x) = -2f(x)$

Step-by-step explanation:

Given

$f(x) = \sqrt[3]x$

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

$(x_1,y_1) = (-1,2)$

$(x_2,y_2) = (1,-2)$

We can represent g(x) as:

$g(x) = n * f(x)$

So, we have:

$g(x) = n * \sqrt[3]x$

For:

$(x_1,y_1) = (-1,2)$

$2 = n * \sqrt[3]{-1}$

This gives:

$2 = n * -1$

Solve for n

$n = \frac{2}{-1}$

$n = -2$

To confirm this value of n, we make use of:

$(x_2,y_2) = (1,-2)$

So, we have:

$-2 = n * \sqrt[3]1$

This gives:

$-2 = n * 1$

Solve for n

$n = \frac{-2}{1}$

$n = -2$

Hence:

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3 years ago

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Answer:

Number 4, the last one

Step-by-step explanation:

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3 years ago

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The difference of two numbers is 33. The sum of the first number and four times the second number is -2. What is the larger of t

defon

Answer:

The larger of the two is 44.67

Step-by-step explanation:

let the first number=x

let the second number=y

We can derive a system of equations using the mathematical statements

Their sum is 33:

x+y=33( call this equation 1)

Sum of first number and four times the second is -2:

x+4y=-2(call this equation 2)

Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it

For this explanation, I choose to subtract equation 1 from 2

(x+4y=-2)-(x+y=33)=3y=-35

y=-35/3

Now plug in the value of y into any equation for that of x. Say we plug into equation 1

x+(-35/3)=33

x-35/3=33( multiply through by 3)

3x-35=99

3x=99+35

3x=134

x=134/3

Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67

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3 years ago