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3 years ago

Which properties of equal justify steps c and f?

Mathematics

2 answers:

swat323 years ago

7 0

step c. 23 + 11 = -11 + (-4x) + 11 Addition Property of Equality

step f. 34/-4 = -4x/-4 Division Property of Equality

Answer: B.

torisob [31]3 years ago

7 0

The answer would be B

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A roller coaster is at the top of a 72 m hill and weighs 134 kg. The coaster (at this moment) has____________ energy. Calculate

Inga [223]

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J

5 0

2 years ago

Simplify. (x2+2x-4)+(2x-5x-3)

vladimir2022 [97]

Answer:

Step by Step Solution

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STEP

Simplify ——

Equation at the end of step

((((2•(x2))-5x)-——)+2x)-3

STEP

Equation at the end of step

(((2x2 - 5x) - ——) + 2x) - 3

STEP

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

2x2 - 5x (2x2 - 5x) • x2

2x2 - 5x = ———————— = ———————————————

1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

Pulling out like terms

4.1 Pull out like factors :

2x2 - 5x = x • (2x - 5)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3

————————————————————— = —————————————

x2 x2

Equation at the end of step

(2x4 - 5x3 - 3)

(——————————————— + 2x) - 3

STEP

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

2x 2x • x2

2x = —— = ———————

1 x2

Polynomial Roots Calculator :

5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

4 0

2 years ago

On a trip mrs. ahmed drove 188 miles in 4 hours. On the return trip, she took a different route and traveled 197 miles in 4.5 ho

mixer [17]

Answer:

45.29 miles per hour

Step-by-step explanation:

Speed is the distance over time. To find the average rate of speed for a trip, we simply need to take the total distance divided by the total time.

Avg. Speed = (188 miles + 197 miles) / (4 hours + 4.5 hours)

Avg. Speed = 45.29 miles per hour

Hence the average rate of speed for the trip was 45.29 miles per hour.

Cheers.

--------------------------------------------------------

Edit: Thanks to Chegsnut36 for calculation correction

6 0

3 years ago

Read 2 more answers

Consider this linear function:

ivolga24 [154]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The attachment shows the ordered pairs (x, f(x)) and their graph.

8 0

3 years ago

The functions f and g are graphed in the same rectangular coordinate system, shown to the right. If g is obtained from f through

german

The first thing we notice is that the function is reflected. So we can start by reflecting it with respect to the x-axis.

We do this by adding a negative sign in the function:

$\begin{gathered} f_0(x)=x^2 \\ f_1(x)=-f_0(x)=-x^2 \end{gathered}$

Now, we have the function reflected, but in the wrong position. We can track its position by the vertex. It was originally at (0,0) and remains at (0,0) after the reflection.

But the final function have its vertex at (-5,0), so we have to translate the function 5 units to the left. we do this by adding 5 to the x in the function:

$f_2(x)=f_1(x+5)=-(x+5)^2$

Now, to check if there isn't any dilatation, we can check on other point in the graph to see if it checks out.

In the blue graph, we see the point (-3,-4), so let's input x = -3 and see if it checks out:

$f_2(-3)=-(-3+5)^2=-(2)^2=-4$

We got y = -4, so it checks out.

Thus, the answer is:

$g(x)=-(x+5)^2$

3 0

1 year ago