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siniylev [52]
3 years ago
14

The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraicall

y are shown in the table
Mathematics
1 answer:
shutvik [7]3 years ago
5 0
First step
Using substitution you can fill 2x + 11 in for the y part of the first equation
This will look like: 2x + 11 = -x^2 -2x + 8

Second step
Now we need to solve for the variable by combining like terms you can start by adding x^2 + 2x -8 to both sides
You get 0 = x^2 +4x +3

Third step
Factor
(X+3)(x+1)=0

If you need the y values you can fill in x= -3 to the second equation y= 2(-3) + 11 and y=5
First point is (-3,5)

The other point is found by filling x=-1 into the second equation: y= 2(-1) +11 and y = 9
Second point is (-1,9)
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Can someone help me with this:
kirill [66]

Answer:

60.8$

Step-by-step explanation:

2(6.22)+3(5.33)+5(8.62)=12.44+15.99+43.1=71.53

71.53_0.15(71.53)=60.8$

5 0
3 years ago
Ann and Joes father donated 3$ for for every lap they sam in a swim a thin. Ann swam 21 laps and joe swam 15 laps. Use he distri
Anna35 [415]

To solve this problem, we must remember that the distributive property allows us to get rid of parentheses by multiplying the coefficient by each of the terms in parentheses. In this case, our coefficient is 3, because that is the number of dollars Ann and Joe's father will donate per lap. This means that we must multiply this by the total number of laps that they swam, which can be found by adding together their individual number of laps, 21 + 15.

This makes our expression: 3(21 + 15)

Using the distributive property, we can multiply both numbers in the parentheses by 3 to simplify our expression, as shown below:

3(21) + 3(15)

Now, we must multiply these numbers together to simplify.

63 + 45

When we add these two numbers together, we get 108.

Therefore, your final answer is that their father donated $108.

Hope this helps!

8 0
3 years ago
pedro mixed 1 pound 6 ounces of apples 1 pound 4 ounces of oranges and 12 ounces of strawberries to make a fruit salad how much
Zinaida [17]
(1 lb 6 oz) + (1 lb 4 oz) + (12 oz) = 2 lb 22 oz.

16 oz = 1 lb, so the quantity (1 lb - 16 oz) evaluates to zero. This lets us rewrite the sum as (2 lb + 22 oz) +(1 lb - 16oz) = 
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8 0
3 years ago
During a one-year time period, how many gallons of water would the average household save by using an efficiency washer vs a reg
BigorU [14]
I have the same question what grade are you in
6 0
2 years ago
Solve using the quadratic formula:20\x+10\(x-10)=10\3
Masja [62]

Answer : x= 15 , 4

steps by step solution : plz see in attachment ✌

Thanks

5 0
3 years ago
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