Can someone please tell me the answers for this question

.Write the expression x4 + 5x2 – 8 in quadratic form, if possible.

rodikova [14]

Answer:

5x^2 + 4x - 8 Hope this helps! I think this is right, but it's hard to tell from the problem.

Step-by-step explanation:

5 0

3 years ago

Kayla has 1\frac{3}{7} cups of yogurt to make smoothies. Each smoothie uses \frac{1}{4} cup of yogurt. What is the maximum numbe

Fiesta28 [93]

Answer: The maximum number of smoothies is 6 cups

Step-by-step explanation: The quantity of yogurt Kayla has is 1³/₇ cups and she needs to make smoothies that would require, 1/4 cup. The number of smoothies she can make from this available quantity can be mathematically expressed as follows;

Number of smoothies = Total Quantity/Quantity per cup

So if we represent Total quantity (1 ³/₇ cups) by x and the quantity per cup (1/4) by y, then the number of smoothies she can make from her available amount of yogurt can be expressed as follows;

Number of smoothies = x/y

The reason is simple, Kayla can determine how many cups of smoothies she can make provided she knows how much quantity each cup of smoothie would require. That means, if for example she has 10 cups of yogurt and each smoothie requires 5 cups, she simply needs to find out how many 5 cups she can get out of 10 cups, which now translates into 10 divided by 5. Similarly, she has 1 ³/₇ cups of yogurt and to determine how many ¹/₄ cups can come out of this she simply needs to divide the total quantity of yogurt by the amount each cup requires, which bring us back to the equation;

Number of smoothies = x/y

Where x = 1 ³/₇ cups of yogurt and y = ¹/₄ cup of yogurt

Number of smoothies = 1 ³/₇÷ ¹/₄

Number of smoothies = (¹⁰/₇) x (⁴/₁)

Number of smoothies = 40/7

Number of smoothies = 5 ⁵/₇

The maximum number of smoothies Kayla can make is 6 cups, because the result shows 5 cups and a fraction which is greater than half a cup. Therefore the last one that measures 5/7 of a cup shall be the sixth one.

8 0

3 years ago

What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th

Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

Method 1:

Using regression analysis the line of best fit is: $y=\alpha +\beta x+e$

Here α = intercept, β = slope and e = error.

The formula to compute the intercept is:

$\alpha =\bar y-\beta \bar x$

Here $\bar y$ and $\bar x$ are mean of the y and x values respectively.

$\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}$

The formula to compute the slope is:

$\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}$

And the formula to compute the error is:

$e=y-\alpha -\beta x$

Method 2:

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

$(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)$

Here r = correlation coefficient = $r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }$

$\sigma_{x}$ and $\sigma_{y}$ are standard deviation of x and y respectively.

$\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}$

3 0

3 years ago

A group of 3 friends spends a total of $17.25 for brunch at a restaurant before tax and tip. Everyone orders the same thing: scr

liubo4ka [24]

Answer:

17.25/3 = 5.75

Step-by-step explanation:

You divide 17.25 by 3.

It equals 5.75. Each friend has 5.75 on spend on brunch.

Toast is $1. Orange Juice is $1.75. Eggs are $2.

Hope this helps.

3 0

3 years ago

3. Why does it tako 3 copies of; to show the same amount as 1 copy of ?? Explain your answer in words

Amanda [17]

Because 3/6 is equal to 1/2.
You multiply the 1 (in 1/2) by 3, and the 2 (in 1/2) by 3 to get 3/6. You need to have a common denominator, and 6 was the common denominator.

7 0

2 years ago