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irga5000 [103]
3 years ago
10

Type the correct answer in each box. Use numerals instead of words. Consider this expression. (x+5)(x-7) Complete the box to sho

w the distributive property applied to this expression.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

In the top right corner is -7x since we multiply the x and -7

In the bottom row, we'll have 5x for the first box and -35 for the second box. Each box is the result of multiplying the outer values.

In the top left corner, the x^2 is from multiplying the two copies of x.

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6. Which statement about this figure is true?
MaRussiya [10]
What statement and about what figure??
6 0
2 years ago
It takes Claudia 1/4 of an hour to make a pizza. Claudia has 4 hours to make pizzas. How many pizzas can Claudia make during thi
juin [17]

Answer:

16

Step-by-step explanation:

divide 4 by .25 (or 1/4) and you get 16

7 0
3 years ago
Find the discriminant to determine the number of solutions for the quadratic equation a^2-5a=6
Bingel [31]
A^2-5a = 6
a^2-5a-6 = 0
Discriminant = (-5)^2-4(1)(-6) = 49
Discriminant is positive so there are two solutions
3 0
2 years ago
What are the restrictions for a? 2a^2+a-15/5a^2+16a+3
koban [17]

ANSWER


The restrictions are

a\ne -3,a\ne -\frac{1}{5}


EXPLANATION


We were given the rational function,


\frac{2a^2+a-15}{5a^2+16a+3}


The function is defined for all values of a, except



5a^2+16a+3=0


This has become a quadratic trinomial, so we need to split the middle term.


We do that by multiplying the coefficient of x^2 which is 5 by the constant term which is 3. This gives us 15.


The factors of 15 that adds up to 16 are 1 and 15.


We use these factors to split the middle term.




5a^2+15a+a+3=0


We now factor to get,


5a(a+3)+1(a+3)=0


We factor further to get,


(a+3)(5a+1)=0



This implies that,


(a+3)=0,(5a+1)=0


This gives


a=-3,a=-\frac{1}{5}


These are the restrictions.





8 0
3 years ago
A punch recipe says to mix 4 cups pineapple juice 8 cups orange juice and 12 cups seltzer in order to make 18 servers of punch.H
lesya692 [45]
81 servings. I found this by making a ratio:
24 c            108 c
-------     =    -------
18 ser            x
I then cross multiplied to get the equation: 24x=1,944. I solved this equation to find x, the number of servings in 108 cups, which was 81. 

I remember doing this back in elementary school. I had a hard time with it too!
6 0
3 years ago
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