Kwame has a budget of $720 for his college class. He buys a laptop for $330 and wants to use the rest to buy

Y = x^2+ 7x - 5 can be written in the form y = (x + a)^2+b

BARSIC [14]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( $\frac{7}{2}$ )x + $\frac{49}{4}$ - $\frac{49}{4}$ - 5

y = (x + $\frac{7}{2}$ )² - $\frac{49}{4}$ - $\frac{20}{4}$

y = (x + $\frac{7}{2}$ )² - $\frac{69}{4}$

Hence

a = $\frac{7}{2}$ and b = - $\frac{69}{4}$

8 0

2 years ago

The elevator at the local mall has a weight limit of 1,800 pounds and requires that the maximum person allowance be no more than

blagie [28]

Answer: 9? I’m not sure but it seems like it’s 9 as it mentions it in the problem

4 0

1 year ago

An European style café latte uses 1.5oz of espresso and 8oz of milk. You accidentally add 12oz of milk to 1.5oz of espresso. How

ELEN [110]

Answer:

2.5

Step-by-step explanation:

The one thing that changes in the problem is the milk. It goes from 8 oz. to 12 oz., so we are going to use the oz count to determine the amount of espresso. Since the amount of milk rose, so is the amount of espresso. Now, you take the larger number and divide it by the smaller number (12 / 8 = 1.5). This answer will tell you by what multiple it increased by. Once you have the multiple it increased by, you multiply that answer (1.5) by the other unknown changing number, so 1.5 x 1.5. Do this and you get 2.5.

3 0

3 years ago

The sum of three numbers is 3068.Two of the numbers are 1266 and 1755,find the third number<br><br>

ratelena [41]

Answer:

The third number is 47.

Step-by-step explanation:

The sum of three numbers is 3068 - this can be expressed mathematically as:

$\displaystyle{x + y + z = 3068}$

Given that two of the numbers are 1266 and 1755 (in order) then substitute x = 1266 and y = 1755:

$\displaystyle{1266 + 1755 + z = 3068}$

Find the third number - solve for z-variable:

$\displaystyle{3021 + z = 3068}\\\\\displaystyle{z = 3068-3021}\\\\\displaystyle{z = 47}$

Therefore, the third number is 47.

3 0

1 year ago

Read 2 more answers

Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars. What is the mean absolute deviat

Daniel [21]

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then the mean absolute deviation of the number of cars is 0.7

<h3>What is the mean absolute deviation?</h3>

The mean absolute deviation of a data set is the average of the absolute deviations from a central point .

Data we have is

1,1,2,2,2,4

Mean can be calculated as

$&\text { Mean }=\frac{1+1+2+2+2+4}{6}\\ \\&\text { Mean }=\frac{12}{6} \\\\&\text { Mean }=2$

Absolute value between the data points and mean can be calculated as :

$\begin{aligned}&|1-2|=1 \\&|1-2|=1 \\&|2-2|=0 \\&|2-2|=0 \\&|2-2|=0 \\&|4-2|=2\end{aligned}$

Now mean absolute deviation can be calculated as :

$\begin{aligned}&\frac{1+1+0+0+0+2}{6} \\\\&=\frac{4}{6} \\\\&=0.66\end{aligned}$$$

Rounding to nearest ten

mean absolute deviation=0.7

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then the mean absolute deviation of the number of cars is 0.7

To learn more about mean absolute deviation visit :brainly.com/question/17381861

6 0

1 year ago