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Leona [35]
2 years ago
9

Factor x2 – 3x – 28. An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the ex

pression a x squared + b x + c. Identify the values that should be written to complete the X diagram. On the top: On the bottom: On the sides: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms. x2 – 3x – 28 =
Mathematics
1 answer:
Eva8 [605]2 years ago
3 0

Answer:

(x - 7)(x + 4)

Step-by-step explanation:

Note that 4 times 7 is 28, and that -7x + 4x = -3x.

Therefore, x^2 - 3x - 28 factors into (x - 7)(x + 4)

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Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)
cluponka [151]
Part A.
7.8 is a rational number between 7.7 and 7.9.
It is rational because it can be written as a fraction of integers, such as 78/10.

Part B.
sqrt(60) = 7.75
sqrt(60) cannot be written as a fraction of integers. It is a decimal number that never ends and never repeats.
7 0
2 years ago
Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet
seropon [69]
Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0

answer is third one
6 0
2 years ago
Read 2 more answers
Which answer choice shows 12.444 rounded to the nearest half?
vesna_86 [32]

Answer:

C. 12

Step-by-step explanation:

Remember 0 to 4 turn it back

5 or above give it a shove.

Since 12.444 is around 0 to 4.

We can round that to 12.

3 0
2 years ago
Read 2 more answers
Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t
andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: 8 miles

2nd day: 12 miles

3rd day: 18 miles

4th day: 27 miles

Step-by-step explanation: As the problem says, x is the number of miles he rides on the first day. Let's start off with that.

1st day: x miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: 1.5x

Then you multiply 1.5 to 1.5x to get the third day's.

3rd day: 2.25x

4th day: 3.375x

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

Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...

1st+2nd+3rd+4th=65

x+1.5x+2.25x+3.375x=65

8.125x=65

\frac{8.125x}{8.125}=\frac{65}{8.125}

x=8

Yes! Now that we've got the hard part done... substitute 8 for ever single x.

1st day: 8 miles

2nd day: 1.5(8)=12 miles

3rd day: 2.25(8)=18 miles

4th day: 3.375(8)=27 miles

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

Checking my answer:

Just add the miles!

8+12+18+27=65

65=65

✓

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

Hope that helps! :D



5 0
2 years ago
Anna set up a lemonade stand on her block over the summer. She recorded each day’s high temperature and the number of cups of le
Alexxx [7]

Answer:

Residual = -2

The negative residual value indicates that the data point lies below the regression line.

Step-by-step explanation:

We are given a linear regression model that relates daily high temperature, in degrees Fahrenheit and number of lemonade cups sold.

y = -34+ \frac{3}{5}  x

Where y is the number of cups sold and x is the daily temperature in Fahrenheit.

Residual value:

A residual value basically shows the position of a data point with respect to the regression line.

A residual value of 0 is desired which means that the regression line best fits the data.

The Residual value is calculated by

Residual = Observed value - Predicted value

The predicted value of number of lemonade cups is obtained as

y = -34+ \frac{3}{5} (95)\\\\y = -34+ 3 (19)\\\\y = -34+ 57\\\\y = 23

So the predicted value of number of lemonade cups is 23 and the observed value is 21 so the residual value is

Residual = Observed value - Predicted value

Residual = 21 - 23

Residual = -2

The negative residual value indicates that the data point lies below the regression line.

7 0
2 years ago
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