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1 year ago

Use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?

Mathematics

1 answer:

Nuetrik [128]1 year ago

6 0

Answer: -4

Step-by-step explanation:

Once you graph it, the solutions are where the graph meets the x axis.

This is at -4 and 9.

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Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using

NikAS [45]

Answer:

$y=\frac{1}{3} x+6$

Step-by-step explanation:

$(3,7)(-6,4)$

Step 1. Find the slope (by using the slope-formula)

m = slope

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{4-7}{-6-3}$

$m=\frac{-3}{-9}$

$m=\frac{3}{9}$

$m=\frac{1}{3}$

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula $y=mx+b$ whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

$y=\frac{1}{3} x+b$

Find the y-intercept (b) by using a point and substituting their x and y values

$y=\frac{1}{3} x+b$

Point: (3, 7)

$7=\frac{1}{3} (3)+b$

$7=1+b$

$b=7-1$

$b=6$

Step 3. Write the equation in Slope-intercept form

$y=mx+b$

$y=\frac{1}{3} x+6$

3 0

2 years ago

I need help with this question. 12 points

olasank [31]

There is no question

8 0

2 years ago

Read 2 more answers

Which is an example of an algebraic expression?

azamat

An algebraic expression doesnt have an equals sign or an inequality sign.

So,

A is an expression
B is an inequality
C is an equation
D is an in inequality

So the answer is A

5 0

3 years ago

Find the area of a regular hexagon with side length of 10 and apothem of 8.7 meters HELP PLZZZ

muminat

Answer:

43.5 meters

Step-by-step explanation:

Area of regular hexagon =

$\frac{1}{2} \times ap$

in the problem you have a = 10 meters

and p = apothem = 8.7 meters

so if you apply the formula

you will have

area =( 1/2) × 10 × 8.7

area = 43.5 meters

8 0

2 years ago

2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the fathe

Goshia [24]

Answer:

The Father is currently 47 and the Son is 7

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]

We also learn that (F+3) = 5(S+3) [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F). I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

Father is 47 and Son is 7

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5. Yes, 9*5 = 45

In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50

3 0

1 year ago