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Pie
3 years ago
5

P^2– 7p = 8 factor this using the zero product property. best response gets marked brainliest.

Mathematics
2 answers:
julsineya [31]3 years ago
8 0

Answer: p=8,−1

Step-by-step explanation:

p^2-7p--8=0

(p-8)(p+1)=0

p=8,−1

garri49 [273]3 years ago
4 0

Answer:

The solution set of p^2– 7p = 8 is {-1, 8}

Step-by-step explanation:

Rewrite p^2– 7p = 8 as p^2– 7p - 8 = 0 (standard quadratic form).

Factoring is relatively straightforward here:  (p - 8)(p + 1) = 0

Here we have a zero product equal to zero.  Thus, we can create two equations based on these two factors:  (p - 8) = 0 and (p +1) = 0.  The first equation yields p = 8 and the second p = -1.

The solution set of p^2– 7p = 8 is {-1, 8}

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A 4​-ft vertical post casts a 20​-in shadow at the same time a nearby cell phone tower casts a 120​-ft shadow. How tall is the c
Sedaia [141]

change 20 in  to ft

20/12 = 1 2/3 ft


4 ft                               x ft

-------                     =    ---------------

5 /3 ft  shadow           120 ft


using cross products

4 * 120 = 5/3 x

480 = 5/3 x

multiply each side by 3/5

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288 ft

7 0
4 years ago
7.5-メ=2.8<br> How can you calculate for x?
GaryK [48]

Answer:

You can calculate for x by

Step-by-step explanation:

7.5 - 2.8 = 4.7

Hope this helps.

4 0
3 years ago
A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo
zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

 

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

<span>= 179 ± 1.645 (0.596284794)</span>

therefore, the answer is letter b

8 0
4 years ago
What is an equation of the line that passes through the point (3,-1) and is parallel to the line 5x+3y=6
777dan777 [17]

Answer:

y=-\frac{5}{3} x+4

Step-by-step explanation:

Since the line we are trying to study is parallel to the one given by the standard equation 5x + 3y = 6, it needs to have the same slope as this given line has. Let's write then this equation in slope-intercept so we can find what the slope is :

5x+3y=6\\3y=-5x+6\\y=-\frac{5}{3} x+\frac{6}{3} \\y=-\frac{5}{3} x+2

Then the slope of our line must also be "-5/3" in order to be parallel to the given line.

Now, since we also know a point (3, -1) through which the new line should go, we use the point-slope form of a line:

y-y_0=m(x-x_0)\\y-(-1)=-\frac{5}{3} (x-3)\\y+1=-\frac{5}{3} x+5\\y=-\frac{5}{3} x+4

4 0
3 years ago
How to find subtotal and sales tax? Give an example.​
gizmo_the_mogwai [7]

Answer:

See explanation below.

Step-by-step explanation:

First, obtain the percentage of sales tax for a sale. Say it is 5%.

Then, obtain the sale prices, for two items say they are: $25.00 and $15.00.

Add the amounts together to obtain the subtotal:

$25.00 + $15.00 = $40.00, is the subtotal.

Multiply the amount by the percentage:

$40.00 * 5% =

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Add the tax to the subtotal to obtain the total amount to pay:

$40.00 + $2.00 = $42.00, is the total amount to pay.

Hope this helps!! Have an Awesome Day!! :-)

3 0
4 years ago
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