Josh practices gymnastics each day

Find the x-intercepts for the parabola defined by the equation below. y = x2 + 9x + 14

faltersainse [42]

Answer:

x - intercepts are (-7,0) and (-2,0)

A is the correct option.

Step-by-step explanation:

We have been given the equation of the parabola $y=x^2+9x+14$

For x- intercept, y = 0

$0=x^2+9x+14$

We can split the middle term as 9x = 7x +2x

$x^2+7x+2x+14=0$

Now take GCF

$x(x+7)+2(x+7)=0$

Factored out the common term

$(x+7)(x+2)=0$

Apply the zero product property

$(x+7)=0,(x+2)=0$

Solve for x

$x=-7,-2$

Hence, x - intercepts are (-7,0) and (-2,0)

A is the correct option.

4 0

2 years ago

Devon records 4 hours of reality shows on her DVR she records comedy shows for 3/8 of that amount of time. Devon watches all the

Alenkinab [10]

The number of half-hour sittings needed to watch all the shows by Devon is 11

<u>Solution:</u>

Given, Devon records 4 hours of reality shows on her DVR

she records comedy shows for 3/8 of that amount of time.

$\rightarrow \frac{3}{8} \text { of } 4 \text { hours } \rightarrow \frac{3}{8} \times 4 \rightarrow \frac{3}{2} \text { hours }$

Devon watches all the reality and comedy shows in half-hour sittings.

We have to find the number of half-hour sittings needed to watch all the shows

Now, number of half hour sittings is given as

$=\frac{\text { total time of videos }}{\text { time for hlaf hour sitting }}$

$\begin{array}{l}{=\frac{4 \text { hours for reality shows }+\frac{3}{2} \text { hours for comedy shows }}{\frac{1}{2} \text { hours for each sitting }}} \\\\ {=\frac{4+\frac{3}{2}}{\frac{1}{2}}=\frac{\frac{8+3}{2}}{\frac{1}{2}}=\frac{\frac{11}{2}}{\frac{1}{2}}=\frac{11}{2} \times \frac{2}{1}=11}\end{array}$

Hence Devon needs 11 sittings

3 0

2 years ago

5. Maria is tracking the number of miles she runs in one week. She is using the track at her

777dan777 [17]

Answer:

0.00310 miles

Step-by-step explanation:

Maria runs 5 m each week. We need to find how miles she run. It means we need to convert meters to miles. The relation between meter and yards is as follows :

1 meter = 1.09361 yards

Also, 1 mile = 1760 yards

It means,

1 mile = 1609.34 m

1 m = (1/1609.34) miles

$5\ m=\dfrac{5}{1609.34}\ \text{miles}\\\\=0.00310\ \text{miles}$

So, she will cover 0.00310 miles.

6 0

2 years ago

PLS HELP PEOPLE!!!

enyata [817]

Answer:

They used 16.4 centimeters

7 0

2 years ago

NEED HELP ASAP!!! PICTURE PROVIDED

faltersainse [42]

Answer:

(x + 9) (x - 8)

Replace a with 9

and b with -8

Step-by-step explanation:

8 0

3 years ago