All categories

3 years ago

It's a multiple choice question

Mathematics

2 answers:

Sophie [7]3 years ago

6 0

Answer:d or c

Step-by-step explanation:

andriy [413]3 years ago

5 0

To make sure we don't have negatives under the square root, we specify that $x \ge 0$ (x is greater than or equal to 0). We'll use this fact later on

--------------------------------------------

Start with the given inequality $\sqrt{x} \le 7$ and square both sides to get $x \le 49$ . Couple this with the fact that $x \ge 0$ means we have this compound inequality $0 \le x \le 49$

What does this mean? It means that we can pick any value from 0 to 49 (including both endpoints) and it will be a solution to the inequality. This applies to the values 49, 48 and 44

Answers: Choice C, Choice D, Choice E

You might be interested in

The graph shows a journey in a car. Which of the statements most likely describes the journey at the portion of the graph labele

Nat2105 [25]

Step-by-step explanation:

The car stops a distance away from the starting point because the portion shows a constant function away from the starting point.

7 0

3 years ago

Read 2 more answers

Out of 4,000 colleges surveyed, 60% reported that SAT scores were not used as a high consideration in viewing their applications

Oduvanchick [21]

Answer:

Hi.

The first thing you want to know is how many schools 60% is.

To find 60%: 4,000 x 0.6 (b/c 0.6 = 60%)

so, 60% of 4,000 = 2,400

To find the number of schools that consider SAT scores:

Subtract 2,400 from 4,000 which, equals 1,600

Find the remaining percentage; 40%:

4,000 x 0.4 = 1,600

Answer: 1,600 colleges

I hope this helps a little bit.

8 0

3 years ago

Select the correct answer.

Nataly [62]

Answer:

D. Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for the given situation.

Step-by-step explanation:

I got it right on the practice

7 0

3 years ago

A city has 4 new houses for every 8 old houses. If there are 32 new houses in the city, how many old houses are there?

kirza4 [7]

There would be 64 houses

3 0

3 years ago

Read 2 more answers

What value of b will cause the system to have an infinite number of solutions?

irga5000 [103]

b must be equal to -6 for infinitely many solutions for system of equations $y = 6x + b$ and $-3 x+\frac{1}{2} y=-3$

<u>Solution: </u>

Need to calculate value of b so that given system of equations have an infinite number of solutions

$\begin{array}{l}{y=6 x+b} \\\\ {-3 x+\frac{1}{2} y=-3}\end{array}$

Let us bring the equations in same form for sake of simplicity in comparison

$\begin{array}{l}{y=6 x+b} \\\\ {\Rightarrow-6 x+y-b=0 \Rightarrow (1)} \\\\ {\Rightarrow-3 x+\frac{1}{2} y=-3} \\\\ {\Rightarrow -6 x+y=-6} \\\\ {\Rightarrow -6 x+y+6=0 \Rightarrow(2)}\end{array}$

Now we have two equations

$\begin{array}{l}{-6 x+y-b=0\Rightarrow(1)} \\\\ {-6 x+y+6=0\Rightarrow(2)}\end{array}$

Let us first see what is requirement for system of equations have an infinite number of solutions

If $a_{1} x+b_{1} y+c_{1}=0$ and $a_{2} x+b_{2} y+c_{2}=0$ are two equation

$\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ then the given system of equation has no infinitely many solutions.

In our case,

$\begin{array}{l}{a_{1}=-6, \mathrm{b}_{1}=1 \text { and } c_{1}=-\mathrm{b}} \\\\ {a_{2}=-6, \mathrm{b}_{2}=1 \text { and } c_{2}=6} \\\\ {\frac{a_{1}}{a_{2}}=\frac{-6}{-6}=1} \\\\ {\frac{b_{1}}{b_{2}}=\frac{1}{1}=1} \\\\ {\frac{c_{1}}{c_{2}}=\frac{-b}{6}}\end{array}$

As for infinitely many solutions $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$

$\begin{array}{l}{\Rightarrow 1=1=\frac{-b}{6}} \\\\ {\Rightarrow6=-b} \\\\ {\Rightarrow b=-6}\end{array}$

Hence b must be equal to -6 for infinitely many solutions for system of equations $y = 6x + b$ and $-3 x+\frac{1}{2} y=-3$

8 0

3 years ago