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3 years ago

Enter an inequality that represents the graph in the box.

Mathematics

2 answers:

Slav-nsk [51]3 years ago

7 0

Since y=-1 when x=0 and we can write the equation (we'll turn it into an inequality later) as y=mx-1 from y=mx+b by plugging (0,1) in. Next, y equals 2 when x=1, so we plug those in to get 2=m*1-1. Adding 1 to both sides, we get 3=m, making our equation y=3x-1 (since y and x stay variables). Lastly, we turn it into an inequality, It seems to be inclusive to the line, so it's either
3x-1≤y or 3x-1≥y. Finding a random point in the inequality (4, 1), we plug it in to get 12-1=11, which is clearly larger than 1, so we get 3x-1≥y.

ziro4ka [17]3 years ago

6 0

The correct answer is

y <= 3x -1

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Which ratio is equivalent to 4:5?

maw [93]

Answer:

8:10 and 12: 15

Step-by-step explanation:

we have to multiply

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3 years ago

Emily buys a toaster for 10%off if she pays 36 then what was the original price

PtichkaEL [24]

x-0.1x=36

where x is the original price
0.1x is the discount (10% of the original price)
36 is the price paid

x-0.1x=36
0.9x=36
----- ----
0.9 0.9
x=40

The original price is $40.00

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3 years ago

Read 2 more answers

a coat was marked down by 60 percent from its original price of $99 . including an 8% sale tax , what is the final cost of the c

Leni [432]

Answer:

i think its 42.77... might be wrong tho

Step-by-step explanation:

being marked down by 60 percent means to multiply original number by 0.4

so we get 39.6

the multiply it by 1.08 to get 42.768

3 0

3 years ago

Read 2 more answers

Gregory predicts that 310 people will attend the spring play. And there was an actual total of 220 people who attended the sprin

rodikova [14]

310 - 220 = 90
90/310 = x/100 (cross multiplication)
9000 = 310x
9000/310 = x
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8 0

3 years ago

Solve the inequality. Check your solutions.

Komok [63]

The inequality is

$7- \frac{2}{b}\ \textless \ \frac{5}{b}$

write 7 as 7b/b to have all the expressions in common denominator:

$\frac{7b}{b} - \frac{2}{b}\ \textless \ \frac{5}{b}$

$\frac{7b-2}{b} \ \textless \ \frac{5}{b}$

$\frac{7b-2}{b}- \frac{5}{b}\ \textless \ 0$

$\frac{7b-2-5}{b}\ \textless \ 0$

$\frac{7b-7}{b}\ \textless \ 0$

$\frac{7(b-1)}{b}\ \textless \ 0$

here b=1 is a root and b=0 is not in the domain of the expression, but it still has an effect in the sign of the expression.

the sign table of $\frac{7(b-1)}{b}$ is :

+++++++[0] --------[1] +++++

this means that for values of b to the left of 0 and to the right of 1, the expression is positive, and for values of b in (0, 1), the expression is negative.

that is $\frac{7(b-1)}{b}\ \textless \ 0$ for b∈(0, 1)

Answer: (0, 1)

8 0

3 years ago