All categories

2 years ago

Which situation can be modeled by the inequality 65-8x>9

Mathematics

2 answers:

tiny-mole [99]2 years ago

8 0

Answer:

x<7

Step-by-step explanation:

65-8x>9

-8x>9-65

-8x>-56

x<7

emmasim [6.3K]2 years ago

5 0

Answer:

x<7

Step-by-step explanation:

65-8x>9

-8x>9-65

-8x>-56

x<7

You might be interested in

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

2 years ago

One week Alaina ran 12 miles in 131.25 minutes. The next, Alaina ran 12 miles in 119.5 minutes. If she ran in a constant pace du

vlabodo [156]

Ou should not increase to more than 12 miles next week; ... 25 miles a week, usually a 7 milerun ... before I run a half. Using that method

6 0

2 years ago

Read 2 more answers

g A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slo

Law Incorporation [45]

Answer:

Step-by-step explanation:

Let us consider E_abc to be the event that a, b and c appear on the first, second and third slot of the spin machine.

Now, we are told that each slot has 4 possibilities which are a cherry, a lemon, a star, or a bar when spun.

Thus, from mn rule in probability, the total number of simple events in the sample space is = 4³ = 64

7 0

3 years ago

NEED HELP!!! WITH PROBLEM

pantera1 [17]

Answer:

x=32 hope it helps, if it does can i get 5.0 or brainliest

Step-by-step explanation:

7 0

2 years ago

Please help me with this question!

nika2105 [10]

Answer:

Step-by-step explanation:

3 0

2 years ago