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2 years ago

8

A school band is buying new jackets and hats. A jacket costs $100 and a hat costs $40. The expression 100/+40h represents the co

st of /jackets and h hats. How much will 5 new jackets and 8 new hats cost?

1 answer:

erastova [34]2 years ago

7 0

Answer:

820

Step-by-step explanation:

100j+40h

100(5)+40(8)

500+320

820!

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Which graph represents the function of f(x) 9x^2 -36 / 3x + 6

Finger [1]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}-36}{3x+6}$

Remember that the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

<em>Simplify the numerator</em>

$9x^{2}-36=(3x+6)(3x-6)$ ----> by difference of squares

substitute

$f(x)=\frac{(3x+6)(3x-6)}{3x+6}$

simplify

$f(x)=3x-6$

The domain is all real numbers except the value of x=-2

The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)

therefore

The graph in the attached figure

7 0

3 years ago

Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the

KonstantinChe [14]

Answer:

The center of the circle is

$(-\frac{3}{2},2)$

Step-by-step explanation:

Let the equation of the circle be

$x^2+y^2+2ax+2by+c=0$ , where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

$0^2+0^2+2a(0)+2b(0)+c=0$

$\implies c=0$

B(-3,0)

$(-3)^2+0^2+2a(-3)+2b(0)+c=0$

$\implies 9+0-6a+0+c=0$

$\implies -6a+c=-9$

But c=0

$\implies -6a=-9$

$\implies a=\frac{3}{2}$

C(1,2)

$1^2+2^2+2a(1)+2b(2)+c=0$

$1+4+2a+4b+c=0$

$2a+4b+c=-5$

Put the value of 'a' and 'c' to find 'b'

$2(\frac{3}{2})+4b+0=-5$

$3+4b+0=-5$

$4b=-5-3$

$4b=-8$

b=-2

Hence the center of the circle is

$(-\frac{3}{2},2)$

8 0

3 years ago

A researcher wants to test if there is a significance difference between the BMI of regular sugary beverage drinkers in 2010 (me

Svetach [21]

I think it is A hope this helps:)

8 0

3 years ago

Please find the DIMENSIONS not the total area of both of these rectangles! I’m giving brainliest this is very urgent. Answers wo

7nadin3 [17]

Answer:

Question:14

3x4 (for the left square, 3 on the side(width) and 4 on the bottom(length))

3x9 (for the right square, 3 on the side(width) and 4 on the bottom(length))

3x13 (for the entire rectangle)

Question:15

3x10 (for the left, 3 on the side(width) and 10 on the bottom(length))

3x6 (for the right, 3 on the side(width) and 6 on the bottom(length))

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I need help can some please answer this 2 2/3+1 1/2

irakobra [83]

Answer:

25/6 or 4 1/6

Step-by-step explanation:

1) convert these fractions to improper fractions first:

8/3+3/2

make like denominators by multiplying 8/3 by 2 and 3/2 by 3

so 8*2/3*2=16/6

3*3/2*3=9/6

16/6+9/6=25/6

Hope this helps!

3 0

3 years ago

Read 2 more answers