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3 years ago

Examples of rational numbers

1 answer:

7 0

Examples of rational numbers :
1, 1/2, 3/4 , 5 , 6, 15/8 etc

Rational numbers are numbers which can be written as fraction as also that the numerator and denominator are whole examples.
Example 5 can be written as fraction in the form of 5/1.

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Suppose you know a certain parabola has a vertex of (2, 1) and a y-intercept of 4. By symmetry, you can conclude that the parabo

kodGreya [7K]

Answer:

Step-by-step explanation:

We are given a parabola with a vertex point of (2, 1) and a y-intercept of y = 4.

And we want to determine another point on the parabola.

Recall that a parabola is symmetric along the axis of symmetry, which is the x-coordinate of the vertex.

Note that since the y-intercept of the parabola is y = 4, this means that a point on our parabola is (0, 4).

To get from (2, 1) to (0, 4), we move two units left and three units up.

Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).

Our answer is A.

5 0

2 years ago

No clue how to do this.

tatiyna

Answer:

Look at the graph, on the left side it says snow on the ground, and it starts on 5, as the storm continued more fell. nvm.

Step-by-step explanation: The answer to your question is 5, because that is how much is on the ground at the beggining.

5 0

2 years ago

Read 2 more answers

The table below shows the number of cameras made when an assembly line runs at a constant rate for a certain number of hours. Nu

jeka57 [31]

Computing the rate we get:

$\frac{300}{10}\frac{cameras}{\text{hour}}=30\frac{cameras}{\text{hour}}$

Then, when the assembly line runs at the same rate for 24 hours they will produce:

$24\text{hour}\cdot30\frac{cameras}{\text{hour}}=720\text{ cameras}$

Answer: Option C) 720.

7 0

10 months ago

In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.

Lemur [1.5K]

In both cases,

$AB^2=AD^2$

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

$(4x+7)^2=(6x-3)^2$

$16x^2+56x+49=36x^2-36x+9$

$20x^2-92x-40=0$

$5x^2-23x-10=0$

$(5x+2)(x-5)=0\implies\boxed{x=5}$

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

$(4x^2-18x-10)^2=(x^2+x+4)^2$

$16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16$

$15x^4-146x^3+235x^2+352x+84=0$

$(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}$

(again, omit the solutions that would give a negative length for either AB or AD)

7 0

2 years ago

A cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. Write an equation for the

miskamm [114]

The equation for monthly payment is b = 49.05M.

SOLUTION:

Given, a cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. We have to write an equation for the monthly payment b when M minutes of long distance service are used.

Now, given that,

$\begin{array}{l}{\text { Monthly payment = } \$ 49 \text { per minute plus five cents per minute of long distance }} \\\\ {\Rightarrow \$ 49 \times \text { number of minutes }+\$ 0.05 \times \text { number of minutes of long distance }} \\\\ {\Rightarrow \mathrm{b}=49 \times \mathrm{M}+0.05 \times \mathrm{M} \rightarrow \mathrm{b}=49 \mathrm{M}+0.05 \mathrm{M} \rightarrow \mathrm{b}=49.05 \mathrm{M}}\end{array}$

Equation:

An equation is a statement that the values of two mathematical expressions are equal (indicated by the sign =)

5 0

3 years ago