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3 years ago

The expression 16x^2-81 is equivalent to

Mathematics

2 answers:

Virty [35]3 years ago

8 0

Answer:

7 units below the vertex of f(x)

Step-by-step explanation:

Tanya [424]3 years ago

4 0

Step-by-step explanation:

7 units below the vertex of f(x)

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Which statements describe a residual plot for a line of best fit that is a good model for a scatterplot? Check all that apply.

kondaur [170]

Answer: The true statements are:-

There are about the same number of points above the x-axis as below it.

The points are randomly scattered with no clear pattern.

The number of points is equal to those in the scatter plot.

Explanation:

A residual plot is a graph which shows that the residuals on the vertical axis and the independent variable on the horizontal axis.

Thus, the number of points is equal to those in the scatter plot and ame number of points above the x-axis as below it.

We know the points are randomly scattered across the plot, so that there is no relationship. Thus the points are randomly scattered with no clear pattern.

8 0

3 years ago

Read 2 more answers

What is the value of x?

Flura [38]

I think x=9 so 29 plus 7 is 36. I think it is a 36 degree angle. Correct me if im wrong

7 0

4 years ago

Rewrite 6/9 two different ways

soldi70 [24.7K]

You can multiply a fraction with the same numerator and denominator like 2/2, which is also one (does not change original fraction).
6/9*2/2= 12/18
or any other number
6/9*3/3=18/27

3 0

4 years ago

A rectangular field is 75 yards wide and 105 yards long

nika2105 [10]

Answer:

width = 72 yards

length = 108 yards

Step-by-step explanation:

Given:

Width = 75 yards
Length = 105 yards

Area of the field with the given values:

$\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\& = \sf 75 \times 105\\& = \sf 7875\:\: yd^2\end{aligned}$

To maintain the same perimeter, but change the area, either:

decrease the width and increase the length by the same amount, or
increase the width and decrease the length by the same amount.

In geometry, length pertains to the longest side of the rectangle while width is the shorter side. Therefore, we should choose:

decrease the width and increase the length by the same amount.

Define the variables:

Let x = the amount by which to decrease/increase the width and length.

Therefore:

$\implies \sf width \times length < 7875\:\:yd^2$

$\implies (75-x)(105+x) < 7875$

Solve the inequality:

$\begin{aligned}(75-x)(105+x) & < 7875\\7875-30x-x^2 & < 7875\\-x^2-30x & < 0\\-x(x+30) & < 0\\x(x+30) & > 0\\\implies x & > 0 \:\: \textsf{ or }\:\:x < - 30\end{aligned}$

Therefore, as distance is positive only and the maximum width is 75 yd (since we are subtracting from the original width):

$\begin{cases}\textsf{width} = 75 - x\\\textsf{length} = 105 + x\end{cases}$

$\textsf{where } 0 < x < 75$

Therefore, to find the width and length of another rectangular field that has the same perimeter but a smaller area than the first field, simply substitute a value of x from the restricted interval into the found expressions for width and length:

Example 1:

Let x = 3

⇒ Width = 75 - 3 = 72 yd

⇒ Length = 105 + 3 = 108 yd

⇒ Perimeter = 2(72 + 108) = 360 yd

⇒ Area = 72 × 108 = 7776 yd²

Example 2:

Let x = 74

⇒ Width = 75 - 74 = 1 yd

⇒ Length = 105 + 74 = 179 yd

⇒ Perimeter = 2(1 + 179) = 360 yd

⇒ Area = 1 × 179 = 179 yd²

4 0

1 year ago

Read 2 more answers

Find the 70th term of the following arithmetic sequence 4,12,20,28

Alex_Xolod [135]

Answer:

556

Step-by-step explanation:

formula

L = a + (n - 1)*d

Givens

n = 70

a = 4

d = 8

Solution

t = 4 + (70 - 1)*8

t = 4 + 69*8

t = 4 + 552

t = 556

3 0

3 years ago