Standardized Test Practice

Carlos uses a vertical number line to graph the points −4, −2, 3, and 4. He notices that −4 is closer to zero than −2. He is not

aivan3 [116]

Step-by-step explanation:

The number line is a line with marks, where each mark represents a real number.

In the vertical number line zero is in the center. The numbers above zero are considered positive and the numbers below zero are considered negative.

4

3

2

1

0

-1

-2

-3

-4

The numbers after zero start from 0, 1, 2 ...... and 0, -1, -2.....

Hence, Carlos is wrong and -4 is further to zero than -2

8 0

3 years ago

A local hamburger shop sold a combined total of 621 hamburgers and cheeseburgers on Friday there were 71 more cheeseburgers old

Tcecarenko [31]

If you do the math the answer you should get is 240

4 0

3 years ago

Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Rus_ich [418]

Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

Rearranging the first equation:

y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

So one solution of equation 2 is (3 ,4).

Substituting in equation 2:

4 = -3 + b

b = 7.

So equation 2 is y = - x + 7.

Now we check if (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore (2, 5) is on this line.

Verifying if (2, 5) is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 = 1 + 4 = 5

- so it is. and a second solution to the system is (2, 5).

5 0

2 years ago

Complete the table. Earning Commission<br><br> Sales=768 Commission rate=4% Commission=?

Crazy boy [7]

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4\% of 768}}{\left( \cfrac{4}{100} \right)768}\implies 30.72$

8 0

3 years ago

The value of a $3000 computer decreases about 30% each year. write a function for the computers value V(t)

den301095 [7]

Answer:

Function for given situation is : $V(t)=3000(0.70)^t$

Value of computer after 4 years = $720.3.

Step-by-step explanation:

Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.

It clearly says that value decreases so that means function represents decay.

For decay we use formula:

$A=P(1-r)^t$