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3 years ago

3. Consider the function y = x^2 + 4x – 4.

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Answer:

a) (-2,-8)

b) not sure :(

c) (0,-4)

Step-by-step explanation:

To find the vertex rewrite in vertex form and use this form to find the vertex (h,k). To find the y-intercept, substitute in 0 for x and solve for y.

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Which of the following could be the lengths of the sides for a triangle that is

kotykmax [81]

Answer:

Step-by-step explanation: c

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3 years ago

An exam is made of two papers that score differently.

Orlov [11]

71 %

Calculate score for each paper, total them and convert to a percentage.

Paper 1 : mark = 0.65 × 120 =78

Paper 2 :mark = 0.8 ×80 = 64

Total mark = (78 + 64)/200 =142/200

Percentage score = 142/200 × 100 % = 71 %

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3 years ago

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The largest set of x values satisfying

velikii [3]

Answer:

If $p\ge -\dfrac{1}{3},$ then $x>\dfrac{2}{3}+p$ and $mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p$

Step-by-step explanation:

Solve two inequalities for x.

1. $2,018x-p$

Separate terms with x and without x into two sides:

$2,018x-2,020x$

Multiply by -1:

$2x>-2p\\ \\x>-p$

2. $7x+3p$

Separate terms with x and without x into two sides:

$7x-10x$

Multiply by -1:

$3x>2+3p\\ \\x>\dfrac{2}{3}+p$

Find the largest set of x values satisfying both inequalities:

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$-p>\dfrac{2}{3}+p\\ \\-2p>\dfrac{2}{3}\\ \\2p$

then $x>-p$ and $mn=-p=p\cdot (-1),\ m+n=p-1.$ In this case both m and n are negative.

If $p>-\dfrac{1}{3},$ then $x>\dfrac{2}{3}+p$ and $mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p$

If $p=-\dfrac{1}{3},$ then $x>\dfrac{1}{3}$ and $mn=\dfrac{1}{3}=\dfrac{1}{3}\cdot 1,\ \ m+n=\dfrac{4}{3}$

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3 years ago

The diagonals of rhombus ABCD intersect at point E. The area of ABCD is 168 in^2 If ED = 8 inches, find AC.

sattari [20]

Area of Rhombus = $\frac{(diagonal 1) * (diagonal 2)}{2}$

Diagonal DB = 2×8 = 16

To find AC, we substitute into the formula the area 168 in² and DB of 16 in

Area = $\frac{DB*AC}{2}$
$168= \frac{16*AC}{2}$
$336=16*AC$
$AC= \frac{336}{16}=21$ inches

Answer: B

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4 years ago

What is the quotient to 3/4 divided by 2?

ikadub [295]

3/4 divided by 2 would equal 3/8.

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3 years ago

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