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3 years ago

In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.

Mathematics

2 answers:

Otrada [13]3 years ago

8 0

Answer:

you will solve the word problem by subtracting how much she spent to how much she owes. Then you get 250-112.49 = $137.51

Step-by-step explanation:

please mark me brainlyest.

Rashid [163]3 years ago

6 0

Answer:

I asked the same q

Step-by-step explanation:

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Help with line equations?

Alecsey [184]

First question

$line:~~~~y=x+3$

$curve:~~~~x^2+y^2=29$

now we have to replace the y of curve by the y of line, therefore

$x^2+(x+3)^2=29$

$x^2+x^2+6x+9=29$

$2x^2+6x+9-29=0$

$2x^2+6x-20=0$

we can multiply each member by $\frac{1}{2}$

$\boxed{\boxed{x^2+3x-10=0}}$

Now we have to find the roots of this funtion

$x^2+3x-10=0$

Sum and produc or Bhaskara

Then we find two axis

$\boxed{x_1=2~~and~~x_2=-5}$

now we replace this values to find the Y, we can replace in curve or line equation, I'll prefer to replace it in line equation.

$y=x+3$

$y_1=x_1+3$

$y_1=2+3$

$\boxed{y_1=5}$

$y_2=x_2+3$

$y_2=-5+3$

$\boxed{y_2=-2}$

Therefore

$\boxed{\boxed{P_1(2,5)~~and~~P_2(-5,-2)}}$
_______________________________________________________________

The second question give to us

$y=ax+b$

$P_1(2,13)$

$P_2(-1,-11)$

We just have to replace the value then we'll get a linear system.

point 1

$13=2a+b$

point 2

$-11=-a+b$

then our linear system will be

$\begin{Bmatrix}2a+b&=&13\\-a+b&=&-11\end{matrix}$

I'll multiply the second line by -1 and I'll add to first one

$\begin{Bmatrix}2a+(a)+b+(-b)&=&13+(-11)\\-a+b&=&-11\end{matrix}$

$\begin{Bmatrix}3a&=&24\\-a+b&=&-11\end{matrix}$

$\begin{Bmatrix}a&=&8\\-a+b&=&-11\end{matrix}$

therefore we can replace the value of a, at second line

$\begin{Bmatrix}a&=&8\\-8+b&=&-11\end{matrix}$

$\begin{Bmatrix}a&=&8\\b&=&-11+8\end{matrix}$

$\boxed{\boxed{\begin{Bmatrix}a&=&8\\b&=&-3\end{matrix}}}$

then our function will be

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

_________________________________________________________________

The third one, we have

$line:~~~~y=3x-4$

$curve:~~~~y=x^2-2x-4$

This resolution will be the same of our first question.

Let's replace the y of curve by the y of line

$3x-4=x^2-2x-4$

$0=x^2-2x-4-3x+4$

therefore

$\boxed{\boxed{x^2-5x=0}}$

now we have to find the roots of this function.

$x^2-5x=0$

put x in evidence

$x*(x-5)=0$

$\boxed{x_1=0~~and~~x_2=5}$

then

$y=3x-4$

$y_1=3x_1-4$

$y_1=3*0-4$

$\boxed{y_1=-4}$

$y_2=3x_2-4$

$y_2=3*5-4$

$y_2=15-4$

$\boxed{y_2=11}$

our points will be

$\boxed{\boxed{P_1(0,-4)~~and~~P_2(5,11)}}$

I hope you enjoy it ;)

5 0

4 years ago

You have been asked to create a poster to advertise the spring fling. You have a 3 inch by 5 inch postcard that you want to enla

Kaylis [27]

3/5 *45/A is the equation
therefore A would equal 5*15
which is then be 75 inches

7 0

4 years ago

olivia has $180 to buy presents for her 3 sisters and 2 nephews. She wants to spend $15 more on each sister than she spends on e

koban [17]

So
if x is the number she spent on each sister and y is the number she spent on each nephew then
180=3x+2y

she wants to spend 15 dollars more on sisters than nephews
so
x=15+y
solve

we have
180=3x+2y and
x=15+y
subsitute 15+y for x

180=3(15+y)+2y
180=45+3y+2y
180=45+5y
minus 45 both sides
135=5y
divide both sides by 5
27=y

solve for x
x=15+y
x=15+27
x=42

she spent $42 on each sister

6 0

3 years ago

How can the mean of the values in a numerical data set be calculated?

Kruka [31]

Answer:

Step-by-step explanation:

Mean is the average. To find mean, add all the numbers in a data set, then divide by the number of values.

Example: 1,2,3,4,5

Mean: 1+2+3+4+5= 15

Number of values: 5

15/5 = 3

Mean is 3

5 0

3 years ago

Read 2 more answers

.............I need help thnx

kari74 [83]

The answer is A

hope you found this usefull

3 0

3 years ago

Read 2 more answers