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Flauer [41]
3 years ago
10

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form. Show your work. Is the product of 2x – 5 and

3x2 + 5x - 7equal to the product of 5x – 2 and 3x2 + 5x - 7? Explain your answer.
Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

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A large pizza at angelo's pizzeria has a diameter of 14 inches. what is the area of the pizza? use 3.14 for π.round to the neare
Korolek [52]
The answer is 153.9 inches squared
7 0
3 years ago
Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios.
maw [93]

Answer:

He made a math error

Step-by-step explanation:

6 ounces of pistachios cost $7.50

take 7.50 / 6=1.25 per ounce  ( not .80 per ounce)

Then 1.26 * 16 = 20.00 for 16 ounces

8 0
3 years ago
For the arithmetic sequence 42, 32, 22, 12... find the 18th term.
Stella [2.4K]

Answer:

The18th term of the given sequence is -128

Explanation:

To find the 18th term of the sequence:

42, 32, 22, 12, ..., we need to find the nth term of the sequence first.

The nth term of a sequence is given be the formula:

T_n=a+(n-1)d

Where a is the first term, and d is the common difference.

Here, a = 42, d = 32 - 42 = -10

\begin{gathered} T_n=42+(n-1)(-10) \\ =42-10n+10 \\ T_n=52-10n \end{gathered}

To find the 18th terem, substitute n = 18 into the nth term

\begin{gathered} T_{18}=52-10(18) \\ =52-180 \\ =-128 \end{gathered}

7 0
1 year ago
A random sample of 144 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac
Reptile [31]

Answer:

Null hypothesis:p=0.4  

Alternative hypothesis:p \neq 0.4

z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98  

p_v =2*P(z>3.98)=0.0000689  

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

Step-by-step explanation:

Information given

n=144 represent the random sample taken

X=81 represent the number of people with type A blood

\hat p=\frac{81}{144}=0.5625 estimated proportion of  people with type A blood

p_o=0.4 is the value that we want to verify

\alpha=0.01 represent the significance level

z would represent the statistic

p_v{/tex} represent the p value Hypothesis to testWe want to test if the percentage of the population having type A blood is different from 40%.:  Null hypothesis:[tex]p=0.4  

Alternative hypothesis:p \neq 0.4  

the statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98  

Now we can calculate the p value with this probability taking in count the alternative hypothesis:

p_v =2*P(z>3.98)=0.0000689  

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

3 0
3 years ago
Find an equation of the line given one point and the slope. (–10, –5);
allochka39001 [22]
You forgot to provide the slope but here is how you do this 

the slope 5 = (y2 - y) / (x2 - x) but we know that (x2, y2) = (-10, -5)
=> (-5 - y) / (-10 - x) = 5 --- multiply both sides by (-10 - x)
=> (-5 - y) = 5 (-10 - x) 
=> (-5 - y) = -50 - (5)x --- add +5 to both sides 
=>  -y = (-50 + 5) - (5)x --- multiply both sides -1 
=> y = 5x + 45  --- this will be your equation. 
7 0
3 years ago
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