MATHEMATICS HIGH SCHOOL

Choose an equation of a line through the point (-4, 1) perpendicular to y=−12x+3.

Answers

Answer 1

Answer:

Answer:

$y = (1)/(12)x + (4)/(3)$

Step-by-step explanation:

slope of perpendicular line: m = $(1)/(12)$

solve for b:

$1 = (1)/(12)(-4) + b$

solve parenthesis:

$1 = -(1)/(3)+b$

add $(1)/(3)$ to both sides:

$b = (4)/(3)$

final equation: $y = (1)/(12)x + (4)/(3)$

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I NEED HELP ASAP IT'S A UNIT TEST AND TIMED. I WILL BE SO GRATEFUL!Write a polynomial functions f(x) that contains the roots -4 and i, where i is the imaginary unit. Write your answer in standard form. Assume that the leading coefficient is 1. Please show why. I have to "show my work." ;-;

You fill a container 3/4 full of water. The amount of water now in the container is 6 quarts. How much can the container hold?a. 12 qt
b. 8 qt
c. 6 qt
d. 14 qt

Answers

To solve this, you need to use cross multiplication. The first fraction, is 3/4 and the second is 6/x, with x meaning how much the container can hold. Multiply 3x(x) and 4x6 equating to 3x=24. From here, use algebra to solve for x, by dividing both sides by three.
Your final answer will be B) 8 qts

Answer:

8 qt

Step-by-step explanation:

Multiply 3x(x) and 4x6 equating to 3x=24 and then algebra to solve for x, by dividing both sides by three.

Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2Help me please....I need good grades

Answers

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = (1)/(3) x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = (1)/(3) x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = (1)/(3) (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= (1)/(3) x + 2$

$\Rightarrow \: - 2 = (1)/(3) x$

$\Rightarrow \: - 2 * 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.

Answer:

jh24

Step-by-step explanation:

Help! 20 points. Need a fraction as the answer.

Answers

Answer:

-41/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

5a/9 - 21/2 - 11a/9 = -11/3

18(-6a/9 - 21/2 = -11/3)

-12a - 189 = -66

-12a = 123

a = -123/12

a = -41/4

answer is A

Suppose that g(x) = f(x)*h(x), f(3) = 6, h(3) = 2, h'(6)=4, h'(3) = 15 and f'(3) = 8. Find g’(3). (A) 32 (C) 106 (B) 8 (D) 60

Answers

Answer:

Step-by-step explanation:

C (106)

g(x)=f(x)*h(x) ⇒g'(x)=f'(x)*h(x)+f(x)*h'(x) ⇒ g'(3)=f'(3)*h(3)+f(3)*h'(3)⇒ g'(3)=(8*2)+(6*15)= 16+90=106

1) A clerk have y dollars, all in $10 bills. What expression repression the number of $10 bills the clerk has?2)A concert ticket costs p dollars for an adult and q dollars for a child.Find an expression that represnts the total cost for 4 adult and 6 children.

3) Two apartment have numbers that are consecutive integers. The sum of the numbers is 59.What are the two apartment numbers ?

Answers

1) y:10;
2) 4p+6q;
3) x +( x+ 1) = 59 => 2x = 58 => x = 29 => 29 and 30;

1. 10y

2. 4p+6q

3. x+x+1=59

2x=58

x=29

29+1=30

the 2 numbers are 29 and 30

Say that the economy is in an expansion, causing wages to increase by six percent. If you previously received a monthly salary of $1,375.00, what will your new monthly salary be? Round all dollar values to the nearest cent.