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3 years ago

What is the coefficient of y in the expression 3 - 4 + 5y? A.5B.9C.12D.17

Mathematics

1 answer:

Bad White [126]3 years ago

5 0

Answer:

a) 5

Step-by-step explanation:

coefficient is the number in front of variable

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Area of a regular octagon with radius 8

bixtya [17]

Step-by-step explanation:

Area of the octagon = 2(1+√2)8=309.02 units

3 0

3 years ago

If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.

kotegsom [21]

Answer: $(-9, 16]$

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

$-2 < x \le 3$

$5(-2) < 5x \le 5(3)$

$-10 < 5x \le 15$

$-10+1 < 5x+1 \le 15+1$

$-9 < 5x+1 \le 16$

This converts to the interval notation $(-9, 16]$

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0

3 years ago

Determine the intercepts of the line. 7x-5=4y-67x−5=4y−67, x, minus, 5, equals, 4, y, minus, 6 xxx-intercept: \Big((left parenth

sesenic [268]

Given:

The equation of line is

$7x-5=4y-6$

To find:

The x and y-intercept of the given line.

Solution:

We have,

$7x-5=4y-6$

Putting x=0, we get

$7(0)-5=4y-6$

Add 6 on both sides.

$0-5+6=4y$

$1=4y$

Divide both sides by 4.

$\dfrac{1}{4}=y$

So, the y-intercept is $\left(0,\dfrac{1}{4}\right)$ .

Putting y=0 in given equation, we get

$7x-5=4(0)-6$

Add 5 on both sides.

$7x=-6+5$

$7x=-1$

Divide both sides by 7.

$x=\dfrac{-1}{7}$

So, the x-intercept is $\left(-\dfrac{1}{7},0\right)$ .

4 0

3 years ago

Read 2 more answers

Sarah has 284 coins in a piggy bank with a total value of $22.78. Sarah has 173 pennies, 5 more dimes than nickels, the rest are

pickupchik [31]

Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)

a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins

b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins

c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:

(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78

7 0

3 years ago

Not good at this big time

alexgriva [62]

You are doing great!

7 0

3 years ago

What is the coefficient of y in the expression 3 - 4 + 5y? A.5B.9C.12D.17​

What is the coefficient of y in the expression 3 - 4 + 5y? A.5B.9C.12D.17