B)False
Answer:
1/4x^2 + x =-1/4
=−2±√3
Answer:
1/4x^2 + x =-1/4
=−2±√3
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Step-by-step explanation:
If GC = 10x – 6, and NC = 3x + 5.
Find the length of line GC.
x=
GC=
Answer:
63 dimes
Step-by-step explanation:
Set up a system of equations where d is the number of dimes and q is the number of quarters:
d + q = 106
0.1d + 0.25q = 17.05
Solve by elimination by multiplying the top equation by -0.25 to eliminate q:
-0.25d - 0.25q = -26.5
0.1d + 0.25q = 17.05
Add together and solve for d:
-0.15d = -9.45
d = 63
So, there were 63 dimes in the piggy bank
The slope of line PQ calculated using the the formula (y₂-y₁)/(x₂-x₁) comes out to be -3 as given in the question. However, the complete information for line S is not provided, so its slope cannot be calculated.
The question is related to the types of lines formed by the given points in a Cartesian plane. Here, m(PQ) and m(S) represent the slopes of the lines formed by points P and Q, and line S respectively.
We calculate the gradient or slope of a line using the formula m = (y₂-y₁)/(x₂-x₁) where (x₁, y₁) and (x₂, y₂) are the coordinates of two distinct points on the line.
So, for line PQ the slope m(PQ) = (-1-14)/(2-(-3)) = -15/5 = -3. This matches the value given for m(PQ) in the question, thus establishing that PQ is a line with slope -3 in the Cartesian plane.
However, you haven't provided the complete information about the line S (only one coordinate is given). So, we cannot compute its slope. Please check the information given.
Learn more about Slope of a Line here:
#SPJ2
Answer:
75
Step-by-step explanation:
Answer and Step-by-step explanation:
Let
Number of chocolate chip cookies = x
Number of oatmeal brownie cookies = y
Bake chocolate chip cookies up to 20 dozen = x≤ 20
Bake oatmeal brownies up to 40 dozen= y≤40
Total cookies = x + y ≤ 50
Number of oatmeal brownie will be no more than three times the number of chocolate chip= y≤3x
From the inequality:
X + y=50
y = 3x
By putting the value of y, we get
x + 3x = 50
4x = 50
X = 12.5
By putting the value of x=12.5 in equation y = 3x, we get
Y = 3(12.5)
= 37.5
Craig should make 12.5 dozen chocolate chip and 37.5 dozen oatmeal brownies in order to make more money.