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2 years ago

Which inequality is NOT satisfied by this table of values?

Mathematics

1 answer:

Viefleur [7K]2 years ago

5 0

The top most left box

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Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

Find the mean and median of these data: 2, 5, 9, 11, 17, 19.

Harrizon [31]

data: 2, 5, 9, 11, 17, 19

median is the middle number
median = (9+11)/2 = 10

mean = average
mean = (2 + 5 + 9 + 11+ 17 + 19)/6
mean = 63/6
mean = 10.5

6 0

3 years ago

I'm so confused on all of this

sammy [17]

Answer:

Your answer is B 5/7

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Please please help!!!! I will give brainliest!!!!! Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divide

natka813 [3]

Given:

$p(x)=2x^4+x^2-10x-1$ divided by $x+2$

To find:

The remainder.

Solution:

$p(x)=2x^4+x^2-10x-1$ divided by $x+2$

Remainder theorem:

If a polynomial p(x) is divide by x - a, then the remainder is p(a).

$x+2=0$

Subtract 2 from both sides, we get

$x=-2$

substitute x = -2 in p(x).

$p(-2)=2(-2)^4+(-2)^2-10(-2)-1$

$=2(16)+(4)+20-1$

$=32+4+19$

$=55$

The remainder is 55.

7 0

3 years ago

Graph the line with the equation y = 22 - 2.

Mariulka [41]

Ok I uploaded a picture of the graph I hope it helps :)

8 0

2 years ago

Read 2 more answers