Which of the following is not a correct description of the graph of the function y = -2x - 7?(A) The graph of the function contains the point (−2, −3), and when the value of x increases by 1 unit, the value of y decreases by 2 units.
(B) The graph of the function contains the points (−1, −5), (2, −11), and (4, −15).
(C) The graph of the function is a line that passes through the point (0, −7) with a slope of −2.
(D) The graph of the function contains the points (0, −7), (1, −9), and (3, −1).

Answers

Answer 1

Answer: Try graphing the function and go over each answer to see whether or not its true

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Which function will have a y-intercept at -1 and an amplitude of 2?
Rewrite the simplest term for ( -x-7y) - (-3x+9y)
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The function g(x) = 2x2 – 28x + 3 written in vertex form is g(x) = 2(x – 7)2 – 95. Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of g(x) = 2x2 – 28x + 3?shifted up 3 unitsshifted left 7 unitsshifted right 7 unitsshifted down 3 units

Which of the following is the equation of a line that passes through the point (1,4) and is parallel to the x-axis?A. x = 4
B. y = 4
C. y = 1
D. x = 1

Answers

A line parallel to the x-axis is y = constant

In this case, to pass through (1,4), y = 4.

Then the answer is option B.

Two angles in a triangle add up to 108 degrees what is the size of the third angle

Answers

72 degrees
Because a triangle is 180 degrees and 180-108 is 72.

What are the x-intercepts of the quadratic function?y = –x2 + 2x – 1
(Points : 1) A. 2 and 1 B. –2 and 1 C. 2 and –1 D. 1

Answers

$y=-x^2+2x-1=-(x^2-2x+1)=-(x-1)^2\ \ \Rightarrow\ \ y \leq 0\n \nC.\ x=2\ \ \Rightarrow\ \ \ y=-(2-1)^2=-1\ \ \Rightarrow\ \ (2;-1)\n \nAns.\ C$

Can you define the mathematical term conjecture in one sentence please?

Answers

A conjecture is a statement that's believed to be true, but hasn't yet been
proved or disproved. 'Conjecture' is a synonym for 'hypothesis'.

A fruit company delivers its fruit in two types of boxes : large and small. A delivery of 6 large boxes and 5 small boxes has a total weight of 190 kilograms. A delivery of 2 large boxes and 3 small boxes has a total of 84 kilograms. How much does each type of boxes weigh ?

Answers

4 large and 8 small weigh 113kg
so
2 large and 4 small weigh 56.5 kg
but
2 large and 3 small weigh 50 kg
so taking the difference
1 small weighs 56.5 - 50 = 6.5 kg.

Substitute :
2 large and 3 small weight 50 kg
2 large weigh 50 - 3*6.5 = 50 - 19.5 = 30.5 kg
1 large weighs 15.25 kg

We have this system

6L + 5S = 190 (1)

2L + 3S = 84 multiply through by -3 ⇒ -6L - 9S = -252 (2)

Add (1) and (2) and we get that

-4S = -62

S = -62 / -4 = 15.5 kilos for a small box

And

2L + 3S = 84

2L + 3 (15.5) = 84

2L = 46.5 = 84

2L = 84 - 46.5

2L = 37.5