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3 years ago

Solve the following inequality: 38 < 4x + 3 + -3x

Mathematics

1 answer:

mihalych1998 [28]3 years ago

3 0

Answer:

D. $x > 28$

Step-by-step explanation:

Given the inequality $38 < 4x + 3 + 7 -3x$ simply the expression operating the common terms (the terms are common when have the same variables and exponents).

In our occasion the common terms are $4x$ and $-3x$ and 3 and 7. So operate this two term for simply in one.

$38 < 4x + 3 + 7 -3x = 38 < x + 10$

Now substract -10 in both sides of the inequality and get the result:

$28 < x$

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Find the slope of the line.

Georgia [21]

Answer:

$\displaystyle m=1$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-4, -1)

Point (1, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]: $\displaystyle m=\frac{4+1}{1+4}$
Add: $\displaystyle m=\frac{5}{5}$
Divide: $\displaystyle m=1$

4 0

3 years ago

Find the center, vertices, and foci of the ellipse with equation 3x2 + 8y2 = 24

Sveta_85 [38]

Answer:

The center is at (0,0)

The vertices are at ( ( ±2 sqrt(2),0)

foci are ( ±sqrt(5),0)

Step-by-step explanation:

3x^2 + 8y^2 = 24

Divide each side by 24

3x^2 /24 + 8y^2/24 = 24/24

x^2/8 + y^2 /3 = 1

The general equation of an ellipse is

(x-h)^2/ a^2 + (y-k)^2 / b^2 = 1

a>b (h,k) is the center

the coordinates of the vertices are ( ±a,0)

the coordinates of the foci are ( ±c,0), where ^c2=a^2−b^ 2

The center is at (0,0)

a = sqrt(8) = 2sqrt(2)

The vertices are at ( ( ±2 sqrt(2),0)

c = 8 - 3 =5

foci are ( ±sqrt(5),0)

3 0

4 years ago

Read 2 more answers

Two events, X and Y, are independent of each other. P(Y)= and P(X and Y)=. What is P(X) written as a decimal? Round to the neare

Rainbow [258]

Answer:

0.4

Step-by-step explanation:

The question is not complete, the correct question is:

Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary

Answer: Two events (event X and event Y) are said to be independent if the probability of event X occurring does not affect the probability of event Y occurring and vice versa. If the probability of X = P(X) and the probability of Y = P(Y), therefore P(X and Y) = P(X) × P(Y).

Given that P(Y) = 5/6 and P(X and Y) = 1/3. Therefore:

P(X and Y) = P(X) × P(Y)

Making P(X) the subject of formula by dividing through by P(Y) gives:

$P(X)=\frac{P(X\ and\ Y)}{P(Y)} \\Substituting\ values:\\P(X)=\frac{\frac{1}{3} }{\frac{5}{6} }=\frac{1}{3} *\frac{6}{5}=\frac{2}{5}=0.4\\ P(X)=0.4$