Can a polynomial have no real roots?

Yes, the statement is true. If a proportional relation has the point (1, r), then r is the unit rate.

Here we have the following statement:

"The point (1, r) on the graph of a proportional relationship shows the unit rate r."

First, remember that a proportional relationship between two variables x and y can be written as:

y = k*x

There k is what we call the constant of proportionality or the unit rate.

If we evaluate that equation in x = 1, we will get:

y = k*1

y = k

Then we have the point (1, k).

In this case, we know that our proportional relation has the point (1, r), comparing this with the case above, we can see that r is the unit rate of the proportional relation.

So the statement is true.

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The needed two values of x are: 59 and -12.

The difference between a sequence's maximum value and minimum value is referred to as the sequence's range.

A sequence's range is just a set that identifies the sequence. The set x1, x2, x3, and so forth is typically used to describe the range; it is also written as xn; n = 1, 2, 3,...

Given sequence of 8 numbers as: 28, 39, 21, x , 33, 38, 2, 45

Given range of above sequence: 57

Since the value x can assume any value, it have option to be minimum value in the sequence or maximum value in the sequence such that  the range remains at 57.

Case 1: x as minimum value of given sequence:

If so, then the maximum value is 45. Then-

range = maximum value - minimum value

57 = 45 - x

x = -12

Case 2: x as maximum value of the given sequence:

If so, then the minimum value of the sequence is 2. Then-

range = maximum value - minimum value

57 = x - 2

x = 59

Thus, the needed two values of x are: 59 and -12.

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Answer:

4

Step-by-step explanation:

[tex](7^5*7^n)^4 = (\frac{7^{16}}{7^n})^3[/tex]

[tex]7^{20}*7^{4n} = \frac{7^{48}}{7^{3n}}[/tex]

[tex]7^{7n} = \frac{7^{48}}{7^{20}}[/tex]

[tex]7^{7n} = 7^{28}\\[/tex]

[tex]n = 4[/tex]

Answer:

6[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

In this equation I will do the elimination method.

3x-y=6

3x+y=34

6x=40

Simplify

x=6[tex]\frac{2}{3}[/tex].

Check:

3(6.666...)-y=6

20-y=6

-20 from 6

-y=-14

y=14

20-14=6

6=6

3x(6.666...)+y=34

20+14=34

34=34

Answer:

The least common denominator is 8, you need to multiply the 3 by 2.

Answer:

8

Step-by-step explanation:

Answer:

180-25-60=95

Step-by-step explanation:

Answer:

Since weight is directly dependent on the acceleration of gravity, things on the Moon will weigh only 16.6% (≈ 1/6) of their weight on Earth.

Step-by-step explanation:

Being that the moon has a gravitational force of 1.622m/s2, we multiply the object's mass by this quanitity to calculate an object's weight on the moon. So an object or person on the moon would weigh 16.5% its weight on earth. Therefore, a person would be much lighter on the moon.

have a nice day /night\

may i please have a branlliest

Answer:

A.

Step-by-step explanation:

A = 1.18, but rounded, is 1.2

Answer:

A) -13.2

Step-by-step explanation:

it's the closest one

Answer:

it's -4

Step-by-step explanation:

hope it helped!!!!!!

Answer:

-4

Step-by-step explanation:

The answer will be the same as a positive square root, just add a negative.

The simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].

What is simplified form of the expression?

If a fraction's top and bottom have only the number one in common, then it is expressed in its simplest form. The top and bottom cannot be divided further and remain whole numbers, in other words. The phrase "lowest terms" is another term for the simplest form.

Consider, the given expression

[tex]\frac{(\frac{1}{x^2}-\frac{2}{y} )}{y-2x^2}[/tex]

We have to find the simplified form of the given expression.

Taking cross multiplication of numerator of the above fraction.

[tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2}[/tex]

Using: [tex]\frac{(\frac{a}{b} )}{c} = \frac{a}{b}*\frac{1}{c}[/tex]

⇒  [tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2} = \frac{y-2x^2}{x^2y} *\frac{1}{y-2x^2} = \frac{1}{x^2y}[/tex]

Hence, the simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].

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The smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.

To compute this, first convert 5 to binary and base-4:

5 in binary: 101

5 in base-4: 11

Since 11 is the same in both bases, the next number that would be a palindrome in both bases is 11.

To find the base 10 number of this palindrome, we convert 11 from binary and base-4 to base 10:

11 in binary: 1011

11 in base-4: 111

Therefore, the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.

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Answer:

b) Take the current height, and add up 15.

c) y = 80x + 15

where y is the height of the water in the pool, in centimeters

where x is the time since the hose is in the pool, in hours

d) 180 = 80x + 15

165 = 80x

x = 165/80 = 2.0625 hours, which is also 2 hours and 3 minutes.

Answer: D

Step-by-step explanation:

Answer:

a) y(x) = (x + 2)^2 -2

b) minimum

c) (-2, -2)

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then vertex is minimum

• If a < 0 then vertex is maximum

Given

y = x² + 4x + 2

(a)

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

y = x² + 2(2)x + 4 - 4 + 2

y = (x + 2)² - 2

(b)

Since a = 1 > 0 then vertex is minimum

(c)

(h, k ) = (- 2, - 2 ) ← coordinates of vertex

Based on the table, an equation of the linear relationship in slope-intercept form include the following: A. y = 2x − 8

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

Next, we would determine the slope of the data points in this table as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (-6 - (-8))/(1 - 0)

Slope, m = 2/1

Slope, m = 2.

At point (0, -8), an equation of this line can be calculated in slope-intercept form as follows:

Note: The y-intercept is equal to -8.

y = mx + c

y = 2x + (-8)

y = 2x - 8.

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Answer:

A. y = 2x − 8

Step-by-step explanation:

Answer:

vjgioio

Step-by-step explanation:

Answer:

Therefore x= -1.9

y= -1.6

Answer:

26

Step-by-step explanation:

range = [highest number] - [lowest number]

99-73=26

Answer:

9

Step-by-step explanation:

let the number be X

x multiplied by 3 will be equal to 15 + X + 3

3x = 18+X

2x = 18

x = 9

Answer:

9

Step-by-step explanation:

Y=4x-1

The equation of a line is:

Y=mx+c

We are told that the slope is 4 which is also gradient, meaning that M=4

Now we are left with:

Y=4x+c

There are two ways to get C:

1. We know that C represents the y-intercept so immediately we can conclude that C=-1

2. You can work it out by substituting the coordinate for the X and Y value:

-1=4(0)+c

-1=C

So in conclusion, the equation of the line is:

Y=4x-1

The ratios equivalent to 2:14 are 3:21 and 16:112. Option A &C

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.

2:14 = 2/14

Reducing 2/14 to the lowest terms = 1/7

2:14 is equivalent to 1:7

3:21 = 3/21 = 1/7

Reducing 3/21 to the lowest terms = 1/7

3:21 is equivalent to 1:7

1:2 = 1/2

1:2 is not equivalent to 1:7

16:112 = 16/112 = 1/7

Reducing 16/112 to the lowest terms = 1/7

16:112 is equivalent to 1:7

Hence, 2:14, 3:21 and 16:112 are all equivalent ratios

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15%

If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%

Answer:

13= 89%

Step-by-step explanation:

89/100= .89= 89%

Answer:

13. 89%

14. 1/10 to each friend

Step-by-step explanation:

13. 89/100 = 0.89 -> 89%

100%/10 friends = 10% per friend, so 1/10 of the cake goes to each friend.

Fredrick can use decims as 0.1, as 0.1 of the cake goes to each friend.

Answer:

[tex]df \: is \: correct \: answer[/tex]

Answer:

540°

Step-by-step explanation:

An equilateral triangle has 3 interior angles of 60°

A square has 4 interior angles of 90°.

When the images are joined, two vertices of each figures are joined together, such that these angles will have now a measure of:

60° + 90° = 150°

Then this figure has:

one angle of 60°

two angles of 150°

and two angles of 90°

(the image below illustrates this situation)

The sum of the interior angles is:

S = 60° + 2*150° + 2*90° = 540°

Answer:

A linear function is a special type of function whose graphs are straight lines (as their name suggests). Let’s look at a straight line and find out what this particular shape of graph tells us about the relationship between the input  and the output  of a linear function.

Step-by-step explanation:

pls mark as brainliest

Answer:

Step-by-step explanation:

To plot points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on a number line, we can simply draw a horizontal line and mark off the positions of the points. The numbers on the number line will represent the values of the x-coordinates of the points.

[asy]

unit size(1cm);

draw((-7,0)--(5,0));

draw((-7,0)--(-7,1)--(5,1)--(5,0)--cycle);

dot("$P$", (-5/2,0), S);

dot("$Q$", (2 3/4,0), S);

dot("$R$", (1.25,0), S);

dot("$S$", (-3.5,0), S);

[/asy]

On the number line, point P is located at -5/2, point Q is located at 2 3/4, point R is located at 1.25, and point S is located at -3.5.

The value of A in A## = ( A - 2 )## if x## = x² - x is 2 Or 3.

Topics in the reasoning part include coding, decoding, and reasoning. One of the most frequently occurring portions in all of the important competitive exams specifically created for employment procedures and higher education is this one. Because Coding-Decoding and Reasoning problems can be difficult for some applicants to complete, they avoid them and lose some quick and simple marks.

Given, x## is defined as x## = x² - x.

Therefore,

A## = (A - 2)##

= (A - 2)² - (A - 2).

= A² - 4A + 4 - A + 2.

= A² - 5A + 6.

Let, A² - 5A + 6 = 0.

A² - 3A - 2A + 6 = 0.

A(A - 3) - 2 (A - 3) = 0.

(A - 3)(A - 2) = 0.

A = 3 Or A = 2.

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