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Kruka [31]
3 years ago
13

X + 2 > -8 a. x > -6 b. x > -10 c. x <-10 d. x < -6

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0
The answer is: [B]: x <span>> -10
__________________________
Explanation:
___________
Given the inequality:
___________
</span>→  <span>x + 2 > - 8  ;
____________
</span>→ Subtract<span> "2" from EACH side; to isolate "x" on one side; and solve, or simplify, for "x" ;
_______________________
</span>→  x + 2 − 2 > - 8 − 2 ;  to get:
_______________________
→  x > -10 ; which is: 'Answer choice: [B]'.
_______________________
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Ming throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Ming threw
mina [271]

Answer:

The maximum height that the stone will reach is 45 meters.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b, and c (called terms) are any real numbers and a is nonzero (can be greater or less than zero). The value of b and c itself can be zero.

So in the quadratic equation

  • ax ² is the quadratic term
  • bx is the linear term
  • c is the independent term

The vertex of a quadratic equation or parabola is the highest or lowest point of the graph corresponding to that function. The vertex is in the plane of symmetry of the parabola; anything that happens to the left of this point will be an exact reflection of what happens to the right. In other words, the vertex is a point that is part of the parabola, whose ordinate is the value  minimum or maximum function. At that point an imaginary axis can be drawn that makes  symmetric the graph of the function, which is called the axis of symmetry.

The quadratic function can be expressed using the canonical form:

f (x) = a. (x - xv) ² + yv

where (xv, yv) are the vertex coordinates.

So, in the case of h(x)=−5(x−1)²+45, the vertex is (1,45) [xv=1,yv=45]

If a> 0 (positive) the parabola is concave, that is, the parabola faces upwards.

If a <0 (negative) the parabola is convex, that is, the parabola faces downward.

If the parabola faces up, the vertex will be its minimum value. If the parabola faces downwards, the vertex will be its maximum value.

In the case of h(x)=−5(x−1)²+45, a <0 (negative) the parabola is convex  and the vertex will be its maximum value.

Being "x" the time and "y" the height , <u><em>the maximum height that the stone will reach is 45 meters.</em></u>

6 0
3 years ago
Match the real-world problem to its constant of proportionality.
FrozenT [24]

Real word problem ⇒ constant of proportionality

$4.16 for 4 pounds of bananas ⇒ 1.04

$16.48 for 8 pounds of potatoes  ⇒ 2.06

$18.36 for 2 pizzas  ⇒ 9.18

2 cups of flour to make 36 cookies ⇒ 18

<em><u>Solution:</u></em>

A proportional relationship is one in which two quantities vary directly with each other.

We say the variable y varies directly as x,

if for x ∝ y

then,  x = y k

Where "k" is called constant of proportionality

k = \frac{x}{y}

<em><u>$4.16 for 4 pounds of bananas</u></em>

x = 4.16 and y = 4

k = \frac{4.16}{4} = 1.04

Thus constant of proportionality is 1.04

<em><u>$16.48 for 8 pounds of potatoes</u></em>

x = 16.48 and y = 8

k = \frac{16.48}{8} = 2.06

Thus constant of proportionality is 2.06

<em><u>$18.36 for 2 pizzas</u></em>

x = 18.36 and y = 2

k = \frac{18.36}{2} = 9.18

Thus constant of proportionality is 9.18

<em><u>2 cups of flour to make 36 cookies</u></em>

x = 36 and y = 2

k = \frac{36}{2} = 18

Thus constant of proportionality is 18

8 0
3 years ago
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Goryan [66]
The answer to problem is 760.
7 0
3 years ago
Read 2 more answers
Evaluate the expression for x = 2, y = -3, and z = -5. *<br> 2x + 3y + z<br> Your answer
Lunna [17]
Plug in

2(2) + 3(-3) + (-5)
4 + (-9) + (-5)
4 + (-14)
-10

Answer is -10
2x + 3y + z = -10
6 0
3 years ago
Read 2 more answers
You pay 10.32 for 8 music downloads. what is the rate of cost per download
nlexa [21]
You would do:
10.32/8 = 1.29
Therefore, the rate of cost per download is $1.29
7 0
3 years ago
Read 2 more answers
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