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Diano4ka-milaya [45]
3 years ago
7

Through (5, -2), parallel to y=-3/4x-4

Mathematics
2 answers:
Stels [109]3 years ago
5 0

Answer:

1.75=b

Step-by-step explanation:

do the equation:

-2=3/4(5)+b

-2=-3.75+b

+3.75 to both sides

1.75=b

Mashcka [7]3 years ago
3 0

Answer:

y=-\frac{3}{4}x+\frac{7}{4}

Step-by-step explanation:

A line going through the point (5,-2) and parallel to y=-\frac{3}{4}x-4.

  • Let's first go over the parent linear equation, y=mx+b.
  1. y is your output value that one would see after inputting an x value into an equation. In the case of the given point, -2 is our y value.
  2. x is a variable that we put into an equation. In the case of the given point for this question, 5 is our x value.
  3. m is our slope for a linear equation. Slope can be represented as a fraction whose numerator is the rise or fall of your line, and the denominator is the run of your line.
  4. b is your y-intercept.
  • If your function is parallel to y=-\frac{3}{4}x-4, then you already know that your slope is m=-\frac{3}{4}. Let's see how this impacts our parent function:

y=mx+b\\y=-\frac{3}{4}x+b

  • Now, how do we find b? This is where the given line comes into play. If our line has to go through the point (5,-2), then let's plug in these values for our x and y, and solve for b.

y=-\frac{3}{4}x+b\\-2=-\frac{3}{4}(5)+b\\ -2=-\frac{15}{4}+b\\-\frac{8}{4}+\frac{15}{4}=b\\  b=\frac{7}{4}

  • Our final equation is:

y=-\frac{3}{4}x+\frac{7}{4}

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3 0
3 years ago
The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is
trasher [3.6K]
The function is graphed as shown below

Part A:

We use the formula - \frac{b}{2a} to find the vertex of the function. A quadratic function of the form of a x^{2} +bx+c and equating this form to the given function - x^{2} +20x-75, we have
b=20 and a=-1.

Substituting a and b into the vertex formula, we have
x=- \frac{20}{2(-1)}=10, as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

- x^{2} +20x-75=0
-( x^{2} -20x+75)=0
x^{2} -20x+75=0
(x-5)(x-15)=0
x=5 and x=15, as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0
3 years ago
20.3 is 4 times as large as some number. What is the number?
neonofarm [45]
The answer would be 81.2 because all you gotta do it 20.3 times 4

7 0
3 years ago
Read 2 more answers
What's larger 0.75 or 1/2
Brilliant_brown [7]
Okay let's see.. 0.750
1.200
As we see 1 is bigger than 0.So that means 1/2 is bigger.Hope this helps! (;
8 0
3 years ago
Read 2 more answers
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