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Snezhnost [94]
2 years ago
15

A teacher asked her students to divide a large number by 50.

Mathematics
1 answer:
IgorLugansk [536]2 years ago
6 0
Jack got the answer wrong. Say the teacher told them to divide 50 by 50. Aslan was right. If you divide 50 by 5 then by 10, Lucy is right. Jack is the only one who gets the wrong answer.
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Graph the line that represents a proportional relationship between Y And x where the unit rate of change of y with their respect
aksik [14]

Answer:

y=\frac{3}{8}x    

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Remember that

The unit rate of change is the same as the slope

so

In this problem

m=\frac{3}{8}

The linear equation is equal to

y=\frac{3}{8}x

To graph the line we need two points

we have (0,0) because the line passes through the origin

Determine other point

assume a value of x and calculate the value of y

For x=8

y=\frac{3}{8}(8)=3

The other point is (8,3)

Plot the points and join them to draw the line

The graph in the attached figure

3 0
2 years ago
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
scoundrel [369]

we have

f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

x=\frac{p}{q}

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to 3

and the first monomial is equal to 15x^{11} -----> coefficient is 15

So

possible values of p are 1, and\ 3

possible values of q are 1, 3, 5, and\ 15

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-)\frac{1}{15},(+/-)\frac{1}{5},(+/-)\frac{1}{3},(+/-)\frac{3}{5},(+/-)1,(+/-)3


3 0
2 years ago
Read 2 more answers
On a piece of paper, graph y&lt; x-3. Then determine which answer matches<br> the graph you drew
Aneli [31]

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The inequality of a line to graph is given as:

y

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

y=x-3

Now, we plot this line on a graph. The given line is of the form:

y=mx+b Where, 'm' is the slope and 'b' is the y-intercept.

So, for the line y=x-3, m=1,b=-3

The y-intercept is at (0, -3).

In order to draw the line correctly we find another point. Let the 'y' value be 0.

Now, 0=x-3\\x=3

So, the point is (3, 0).

Now, we mark these points and draw a line passing through these two points.

Now, consider the line inequality y. The 'y' value is less than x-3. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.

The graph is shown below.

5 0
2 years ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
Stella [2.4K]

Answer:

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

0=-3x^{2}-2x+6  

so

a=-3\\b=-2\\c=6

substitute in the formula

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(-3)(6)}} {2(-3)}

therefore

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

4 0
2 years ago
Read 2 more answers
Which function grows at the fastest rate for increasing values of x? h(x)=2x f(x)=8x2−3x g(x)=19x p(x)=5x3+3
Nesterboy [21]
G(x)=19x is the function that’ll grow at the fastest rate.
5 0
2 years ago
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