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3 years ago

Which graph shows the solution to the following system of linear inequalities?

Mathematics

1 answer:

rusak2 [61]3 years ago

5 0

Answer:

See attached picture.

Step-by-step explanation:

Graph and test solutions to create the shaded region.

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3500 calories for 6 servings of pie ________ calories per serving is what?

OleMash [197]

Answer:

583 rounded to the nearest whole number

Step-by-step explanation:

other wise 583.3333333333333333333333333333

8 0

3 years ago

Read 2 more answers

How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function

-BARSIC- [3]

Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example $y=\frac{1}{x}$ :

As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptote

As y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptote

See the graph for a visual.

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3 years ago

Alex earned $176 for working<br> 8 hours. How much did Alex earn<br> per hour?

MaRussiya [10]

He earned 22$ per hour

8 0

3 years ago

Mr. yates has an $80.00 budget to purchase a $72.00 pair of sunglasses. If there is a 6% sales tax rate, then how much under bud

Alekssandra [29.7K]

Answer:

$3.68 underbudget

Step-by-step explanation:

$72*6%\\72*0.06=4.32\\Tax=4.32\\72+4.32=76.32 \ Total\\80-76.32=3.68$

Hope this helped!

6 0

3 years ago

Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

$x-1 \geq 0\, \text{and}\, x-4\leq 0$

In the first case the solution is the empty set $\emptyset$ . In the second case the solution is the interval $1\leq x \leq 4$ . Now we have that

$A=[1,4]$

$B=(3,5)$

$C=(3,4]$ .

To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .

Observe the image below.

7 0

4 years ago