All categories

2 years ago

Graph the solution of this inequality: 3/4(x+8) > 1/2 (2x + 10)

Mathematics

1 answer:

miss Akunina [59]2 years ago

7 0

Answer:

Inequality Form-

X<4

Interval Notation-

(-∞, 4)

You might be interested in

Choose the equation that best represents the equation of the graph of f(x) = 3^x +4.

Alchen [17]

The answer would be D

4 0

2 years ago

Consider the following.3x + 3y = 8(a) Find y' by implicit differentiation.(b) Solve the equation explicitly for y and differenti

ludmilkaskok [199]

Answer:

a.y'=-1

b.y'=-1

c.Yes

Step-by-step explanation:

We are given that consider a function

$3x+3y=8$

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.

a. $3x+3y=8$

Differentiate w.r.t x then we get

$3+3\frac{dy}{dx}=0$

$3\frac{dy}{dx}=-3$

$\frac{dy}[dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

b. $3x+3y=8$

$3y=8-3x$

$y=\frac{8-3x}{3}$

Differentiate w.r.t x then we get

$\frac{dy}{dx}=\frac{-3}{3}=-1$

$\frac{dy}{dx}=y'=-1$

When we substituting the value of y obtained from part b into a solution of part a then we get

$y'=-1$

Hence, solutions are consistent.

8 0

2 years ago

Ebony earned scores of 72 70, 81, 99, and 88 on five math tests. Determine her

Minchanka [31]

Let it be x

$\boxed{\sf Average=\dfrac{Sum\:of\:terms}{No\:of\:terms}}$

$\\ \sf\longmapsto \dfrac{72+70+81+99+88+x}{6}=83$

$\\ \sf\longmapsto \dfrac{410+x}{6}=83$

$\\ \sf\longmapsto 410+x=498$

$\\ \sf\longmapsto x=498-410$

$\\ \sf\longmapsto x=88$

6 0

2 years ago

A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:4. If A is at (-7,-8) and B is at (-3,-5) what a

Galina-37 [17]

To get the coordinates of C we shall proceed as follows:

AB:BC=1:4
B-A=[(-3--7),(-5--8)]=(4,3)
4(4,3)=(16,12)
thus the coordinates of C will be:
(16-3,-5+12)
=(13,7)

6 0

2 years ago

Read 2 more answers

What is the solution to this system

KonstantinChe [14]

Answer:

The answer is (2,3)

Step-by-step explanation:

5 0

2 years ago