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Regina writes the expression y + 9 · ¼. Which expression is equivalent to the one Regina writes?

Alika [10]

Answer:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.3/4 + y

= (9.3/4) + y

Step-by-step explanation:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.1/4 + y

= (9.1/4) + y

5 0

2 years ago

what is te discontinuity of the function f(x) = the quantity of x squared plus 6x plus 8 all over x plus 4?

seropon [69]

Answer:

A hole at x=-4.

Step-by-step explanation:

This is a fraction so we have to worry about division by zero.

The only time we will be dividing by 0 is when x+4 is 0.

Solving the equation

x+4=0 for x:

Subtract 4 on both sides:

x=-4

So there is either a vertical asymptote or a hole at x=-4.

These are the kinds of discontinuities we can have for a rational function.

If there is a hole at x=-4, then x=-4 will make the top zero and can be cancelled out after simplification.

If is is a vertical asymptote, x=-4 will make the top NOT zero.

Let's see what -4 for x in x^2+6x+8 gives us:

(-4)^2+6(-4)+8

16+-24+8

-8+8

0

Top and bottom are 0 when x=-4.

Let's see what happens after simplication.

We are going to factor a^2+bx+c if factorable by finding two numbers that multiply to be c and add up to be b.

So what 2 numbers together multiply to be 8 and add up to be 6.

I hoped you said 4 and 2 because (4)(2)=8 where 4+2=6.

$\frac{x^2+6x+8}{x+4}=\frac{(x+4)(x+2)}{x+4}=x+2$

We we able to cancel out that factor that was giving us x=-4 is a zero.

Therefore there is a hole at x=-4.

7 0

3 years ago

What's the linear function that passes through (1,-6) and (-8,9)

ioda

Answer:

x axis?

Step-by-step explanation:

3 0

3 years ago

An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is

neonofarm [45]

Answer:

(a) $h(t)=\frac{1.3t^2}{2} + 2t +17$

(b)62.85cm

Step-by-step explanation:

The growth rate of the shrub is given as:

$\frac{dh}{dt} = 1.3t + 2$

Where t=time in years, h=height in centimeters

(a)First, we solve for the height h(t) by integrating.

$\int \frac{dh}{dt} dt= \int (1.3t + 2)dt\\h(t)=\frac{1.3t^2}{2} + 2t +C, $ C a constant of Integration$\\$We sunstitute the initial value to find the value of C$\\$When t=0, h=17cm$\\17=C\\Therefore:\\h(t)=\frac{1.3t^2}{2} + 2t +17$

(b)The shrub are sold after 7 years of growth. Therefore, we determine the value of h(t) when t=7 years.

$h(t)=\frac{1.3t^2}{2} + 2t +17\\h(7)=\frac{1.3*7^2}{2} + 2(7) +17\\=31.85+14+17\\h(7)=62.85cm$

The Shrubs are 62.85cm tall when they are sold.

4 0

3 years ago

Wren Renee found that 11 of run run found that 11 of the 20 pizzas he sold were pepperoni he wanted to know what number was in p

levacccp [35]

Answer: 55%

Step-by-step explanation:

Number of pizzas sold that were pepperoni = 11

Total pizza sold = 20

Percentage of pizza that were pepperoni will be:

= Number of pepperoni pizzas/Total pizza sold × 100

= 11/20 × 100

= 11 × 5

= 55%

3 0

3 years ago