Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death. Write an inequality to represent Brittany’s age, b. Brittany’s brother, Nate, is two years younger than Brittany. Write an equation for Nate’s age, n, in terms of Brittany’s age, b. Rewrite the expression from Part B to get the variable b alone on one side of the equation. (This is also called isolating b.) Substitute the value of b from Part C into the inequality you found in Part A. Solve the inequalities from parts A and D for the variables b and n, respectively. Could Brittany be 27 years old and Nate 26? Why or why not?

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

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Answer:

A. 4 Feet 1/2 inches

Step-by-step explanation:

54/12=4.5

Answer:

4 ft 6 inches

Step-by-step explanation:

we know that 12 inches is 1 ft

24 inches is 2 ft

36 inches is 3 ft

48 inches  is 4 ft

60 inches is 5 ft

So 4 ft

54 - 48 = 6 left over

4 ft 6 inches

Answer:

Step-by-step explanation:

To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!

I cant do this until I know What number is what.

Which is length?

Which is height?

and which is width?

Answer:

Step-by-step explanation:b

Answer:

it's equal=

Step-by-step explanation:

5 divided by 8 = .625, 25 divided by 40= .625

Answer:

=

Step-by-step explanation:

THEY ARE EQUAL. :)

Answer: D because debt is classed as a liability

Step-by-step explanation:

Answer:

The y-intercept of function g located at (0,2)

Step-by-step explanation:

Function :[tex]g(x)=x^2+2[/tex]

g(x) is a transformation of the quadratic parent function

We are supposed to find the where is the y-intercept of function g located

y intercept = the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. x =0

So, substitute x = 0 in function

g(x)=x^2+2

g(0)=0^2+2

g(0)=2

So,(x,y)=(0,2)

So, The y-intercept of function g located at (0,2)

Answer:

c

Step-by-step explanation:

Answer:

The solution set for [tex]s<3[/tex] would be (-∞,3)

The solution set for [tex]|s|<3[/tex] would be (-3,3)

Step-by-step explanation:

The solution set for [tex]s<3[/tex] can be any number that is lower than 3.

When we have the inequality  [tex]|s|<3[/tex], we need to rewrite this without the absolute values to find our answer

[tex]|s|<3[/tex]

[tex]s<[/tex] ± [tex]3[/tex]

This can be be split into [tex]s<3, s<-3[/tex]

But, there one thing that needs to be done to the inequality with the-3. As we multiplied it by a -1 to make it negative, we must reverse the sign of the inequality. This leaves us with [tex]s<3, s>-3[/tex]

Now, we can combine these to get one inequality

[tex]-3<s<3[/tex]

Answer:

C; f(x)=log(x+2)

Step-by-step explanation:

Answer:

A) 3/2

Step-by-step explanation:

slope of the line equation:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-3 , -3)

(x₂ , y₂) = (1 , 3)

Plug in corresponding numbers to the corresponding variables:

m = (3 - (-3))/(1 - (-3))

Simplify:

m = (3 + 3)/(1 + 3)

m = (6)/(4)

m = 3/2

A) 3/2 is your slope.

~

Answer:

the answer is three over two 3/2

Step-by-step explanation:

the equation is

Ya-Yb

divided by

Xa-Xb

so basically:

-3-3/-3-1

Answer:

-0.2 or -2/10

Step-by-step explanation:

hope this helps

Answer:

77

Step-by-step explanation:

Total Volume = 88

Middle Part Volume = 11

Total - Middle = 77

Answer:

Step-by-step explanation:

145 = 2x + 15

2x = 130

x = 65 (ANS)

Answer:

65º

Step-by-step explanation:

145º = (2x + 15)º

145º = (2x + 15)º

145º - 15º = 2xº + 15º - 15º

130º = (2x)º

x = 65º

Answer:

b

Step-by-step explanation:

ITS B NOT C ITS B ITS B ITS B.

Answer:

1903

Step-by-step explanation:

Answer:

the answer is 1903

Step-by-step explanation:

Answer:There are zero interception.

Step-by-step explanation:

The equation to Line U: is  y=-3x +19  and the equation to line V  is  y=-3x +14

So as you can see ,the lines have the same slopes but different y-intercepts.This means the lines are going to be parallel when being graph.Parallel lines never cross or intersect so there  is no points of intersection.

Answer:

A. zero.

Step-by-step explanation:

i took the assignment.

Answer:

Prices decreased

Step-by-step explanation:

What happened to the price of goods when demand did not increase is prices decreased.

Answer:

4

Step-by-step explanation:

Answer:

The third one I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First -> twice m is -> 2m

Then

49 increased so -> 49+2m

Answer:

R = (1/t) (A/P - 1)

T = (1/r) (A/P - 1)

Answer:

What do you mean by #5?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

9s=-10+10s

Add 10 on both sides,

9s+10=-10+10s+1

9s+10=10s

Subtract 9s on both sides,

9s+10-9s=10s-9s

10=s

Therefore,s=10

Explanation:

Choices C and D are in slope intercept form, and not standard form, so we can rule them out. It's been choice A and choice B.

Solve for y in choice A, and you should get y = (1/4)x-1. The slope is 1/4. The positive slope tells us the line moves uphill as you move from left to right. In contrast, x+4y = 4 has a negative slope because it solves to y = (-1/4)x+1. Therefore, choice B can be eliminated.

To confirm that choice A is the correct answer, plug in each point and see if we get a true equation. Let's start with (0,-1)

Plug in (x,y) = (0,-1)

x-4y = 4

0-4(-1) = 4 ...  replace x with 0, replace y with -1

0+4 = 4

4 = 4 ... true equation, so the point (0,-1) works

Now try the other point

x-4y = 4

4-4(0) = 4 .... plug in (x,y) = (4,0)

4-0 = 4

4 = 4 ... works as well

Both points make the equation true, so they are both on the same line.

Answer:

720

Step-by-step explanation:

you just need to multiply

ever figure it out?

i have the same question

Answer:

John didnt pay off his card right away so there was a fee of $3.82

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

0-o

Answer:

(0,2)/(4,5)

Step-by-step explanation:

Im Pretty Sure That's Correct.

Answer:

False

Step-by-step explanation:

In order for the dilated image to become larger, it has to have a scale factor that is more than one not less than one.

False, Because If the scale factor is greater than 1, the image is larger than the preimage.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

If the scale factor is between 0 and 1, the image is smaller than the preimage. Dilations with a scale factor between 0 and 1 are called reductions.

And, If the scale factor is greater than 1, the image is larger than the preimage. Dilations with a scale factor greater than 1 are called enlargements.

Thus, The given statement is false.

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