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Fed [463]
3 years ago
7

Solve each system of inequalties by graphing.

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Start by graphing each line.

• Because the first inequality is smaller than, it will have a dotted (- - -) line.

• Because the second inequality is smaller than or equal to, it will have a solid line (---).

Then, plug in points to see where your shading will go. If the statement is true (x = x), you will shade that area along the line.

y  < 3x + 2

(0)  < 3(0) + 2

0  <  2

0 is less than 2.

Do the same step for the other equation. Your solution to the problem is any point that lies between the shading from both inequalities (where the blue and red meet).

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One number is 8 more than the other. When the larger is divided by the smaller, the quotient is 7/5
Wewaii [24]

Answer:

<h3>          The numbers are 20 and 28</h3>

Step-by-step explanation:

x  - the other number  (the smaller one)

x+8  - 8 more than the other number (the larger number)

 

\dfrac{x+8}x=\dfrac75\\\\(x+8)\cdot5=x\cdot7\\\\5x+40=7x\\^{\quad-40\qquad-40}\\{}\quad5x = 7x-40\\^{\quad-7x\quad-7x}\\-2x=-40\\^{\div(-2)\quad\div(-2)}\\{}\ \ x=20\\\\x+8=28

6 0
3 years ago
Jin bought a book that cost $5.60if the tax rate is 70% how much tax did he pay?
USPshnik [31]

\bf \begin{array}{|c|ll}\cline{1-1}\textit{a\% of b}\\\cline{1-1}\\\left( \cfrac{a}{100} \right)\cdot b\\\\\cline{1-1}\end{array}~\hspace{5em}\stackrel{\textit{70\% of 5.60}}{\left( \cfrac{70}{100} \right)5.60}\implies 3.92

4 0
3 years ago
Is (0,0) a solution to this system?
Anuta_ua [19.1K]

Answer:

option-B

Step-by-step explanation:

we are given system of inequality as

y\leq x^2-4

y>2x-1

now, we can check solution

At (0,0):

we can plug x=0 and y=0

and check inequality

0\leq 0^2-4

0\leq -4

so, this is FALSE

now, we can check second inequality

0>2\times 0-1

0>-1

So, this is TRUE

so, option-B

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to ? Assume.
nikdorinn [45]

Answer:

2. -2x^{8}y^{18}  

Step-by-step explanation:  

We have been given an expression \frac{10x^{6}y^{12}}{-5x^{-2}y^{-6}} and we are asked to find equivalent expression to our given expression.

Using fraction rule \frac{a}{-b} =-\frac{a}{b} we can write our expression as: -\frac{10x^{6}y^{12}}{5x^{-2}y^{-6}}. 

Upon dividing 10 by 5 we will get,

-\frac{2x^{6}y^{12}}{x^{-2}y^{-6}}      

Upon using exponent property for quotient (\frac{a^{m}}{a^{n}} =a^{(m-n)}) we will get,  

-\frac{2x^{6}y^{12}}{x^{-2}y^{-6}}=-2x^{(6--2)}y^{(12--6)}    

-2x^{(6+2)}y^{(12+6)}

-2x^{8}y^{18}        

Therefore, our expression simplifies as -2x^{8}y^{18} and 2nd option is the correct choice.



6 0
4 years ago
Read 2 more answers
Angeline bought s yards of satin fabric priced at $8. 09 per yard, and c yards of cotton fabric priced at $3. 79 per yard. Use a
kow [346]

Let represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so yards will cost . similarly, each yard of cotton fabric costs $3.79, so yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:

Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace and in our expression:

We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77

5 0
2 years ago
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