Answer:
x=1
Step-by-step explanation:
i did it
Answer:
It's the second choice.
Step-by-step explanation:
When y = -6 and z = 5, the value of the expression y + z + 2 is 1.
To calculate the expression y + z + 2 when y = -6 and z = 5, you simply substitute these values into the expression and perform the arithmetic operations:
y + z + 2 = (-6) + (5) + 2
Now, perform the addition:
(-6) + (5) + 2 = -1 + 2 = 1
So, when y = -6 and z = 5, the value of the expression y + z + 2 is 1.
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Answer:
1
Step-by-step explanation:
y + z + 2
first you have to replace the variables with the numbers
This is your equation now.
-6 + 5 + 2
Now you just have to solve it.
-6 + 5 = -1+ 2 = 1
or
7 - 6 = 1
Answer:
D. F(x) = 2(x-3)^2 + 3
Step-by-step explanation:
We are told that the graph of G(x) = x^2, which is a parabola centered at (0, 0)
We are also told that the graph of the function F(x) resembles the graph of the function G(x) but has been shifted and stretched.
The graph of F(x) shown is facing up, so we know that it is multiplied by a positive number. This means we can eliminate A and C because they are both multiplied by -2.
Our two equations left are:
B. F(x) = 2(x+3)^2 + 3
D. F(x) = 2(x-3)^2 + 3
Well, we can see that the base of our parabola is (3, 3), so let's plug in the x value, 3, and see which equation gives us a y-value of 3.
y = 2(3+3)^2 + 3 =
2(6)^2 + 3 =
2·36 + 3 =
72 + 3 =
75
That one didn't give us a y value of 3.
y = 2(3-3)^2 + 3 =
2(0)^2 + 3 =
2·0 + 3 =
0 + 3 =
3
This equation gives us an x-value of 3 and a y-value of 3, which is what we wanted, so our answer is:
D. F(x) = 2(x-3)^2 + 3
Hopefully this helps you to understand parabolas better.
Answer:
9(4+3)
Step-by-step explanation:
The GCF of 36 and 27 is 9. Dividing 36 and 27 by 9, I used the distributive property and got the equation 9(4+3)
o Miguel will have $114 more than Doris after 6 weeks
O Doris will have $114 more than Miguel after 6 weeks
O Doris and Miguel will have the same amount after 6 weeks
Doris and Miguel will have the same amount after 114 weeks
DorisandMiguelwillhavethesameamountafter6weeks.
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Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
x^2 + 17x − 12 = −84
Adding -84 to the left hand side and the right hand side of the equation, it becomes
x^2 + 17x − 12 + 84 = −84 + 84.
x^2 + 17x + 72 = 0
We would find two numbers such that their sum or difference is 17x and their product is 72x^2. The two numbers are 8x and 9x. Therefore
x^2 + 8x + 9x + 72 = 0
x( x + 8) + 9(x + 8) = 0
x + 9 = 0 or x + 8 = 0
x - 9 or x = 8