Tamara received a credit of $25 at the yarn store. What amount can she spend using the credit?

the area of a rectangular patio is represented by the expression 6x^2+13-5. the width of the patio is (3x-1) write an expression

jok3333 [9.3K]

I think you meant 6x²+13x-5 so first thing we have to do is factor it which is really quite tricky with this kind of trinomial so first take ac which is 6 times -5 so -30 now figure out factors of -30 that will add up to 13 how about 15 and -2 now that we have the factors write the equation again

6x²+15x-2x-5 split the equation in half

6x²+15x -2x-5 so out of the first equation we can pull a 3x out

3x(2x+5) and out of the second we can pull a negative 1

3x(2x+5) -1(2x+5) rewrite it

(3x-1)(2x+5) so the 3x-1 is the factor we already had so the other side is (2x+5)

HOPE THIS HELPS!!!

6 0

3 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

nydimaria [60]

Answer:

Step-by-step explanation:

As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by x=-b/(2a) where a = -34 and b = 1542:

x=-1542/(2)(-34)

x=-152/-68

x=152/68

We put this value of "x" into the original formula to find out the value of "y":

y=-34x^2+1542x-10037

y=(-34)(1542/68)^2+1542(1542/68)-10037

y= -17483.5588235 + 34967.1176471 -10037

y=7446.5588236

Therefore, the maximum profit would be $7446.56.

Hope this helps!

PLS MARK BRAINLIEST THIS TOOK A LOT OF TIME

7 0

3 years ago

I NEED HELP ASAP!

7nadin3 [17]

Answer:

CD is equal to 3.2 m

Perimeter is equal to 37.5 m

7 0

2 years ago

It took an ice cream 28 minutes to drive through one neighborhood. The truck stopped driving through the neighborhood at 2:05 pm

VMariaS [17]

Answer:

Starting time: 1:37

Step-by-step explanation:

Instead of proof to solve the problem, let us prove that the starting time above is correct;

1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes

2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or 28 minutes

Proved: 28 minutes

6 0

3 years ago

Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the

Alenkinab [10]

Answer:

The estimated area is $416\frac{13}{16}\ ft^{2}$