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3 years ago

Can two fraction with the same numerator and different denominators be equal? Use words and numbers to explain.

Mathematics

2 answers:

STatiana [176]3 years ago

4 0

Answer:

Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator. Once the two fractions have the same denominator, you can check to see if the numerators are equal.

Step-by-step explanation:

I hope this helps :)

stepladder [879]3 years ago

3 0

Step-by-step explanation:

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siniylev [52]

Answer:

45.125 is the average

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3 years ago

Read 2 more answers

For the function f(x)=3xsquared- 2x+5 find f(1) f(-2) and f(a)

Oksanka [162]

$f(x)=3x^2-2x+5\\\\
f(1):\ \ Substitude\ 1 \ as\ x\ into\ function:\\
f(1)=3*1^2-2*1+5=3-2+5=\textbf{6}\\\\
f(-2)\ \ Substitude\ x=-2\\
f(-2)=3*(-2)^2-2*(-2)+5=3*4+4+5=12+4+5=\textbf{21}\\\\
f(a)\ \ substitude\ x=a\\
f(a)=\underline{3a^2-2a+5}$

4 0

4 years ago

A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic

MAVERICK [17]

Answer:

The cream cone should be 6 inches.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

$Volume=\frac{4}{3} \pi r^3$

$Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.$

Thus, the volume of the ice cream scoop is 14.13 cubic inches.

So, to put all of the ice cream inside the cone.

We take the cream cone volume as the scoop volume.

Let the height of cone be $h.$

As, given radius is same.

Now, to get the height of the cream cone we put formula of volume:

$Volume=\pi r^2\frac{h}{3}$

$14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h$

Dividing both sides by 7.065 we get:

$6=h$

$h=6\ inches.$

Hence, the height of the cone = 6 inches.

Therefore, the cream cone should be 6 inches.

7 0

3 years ago

Complete the factorization of 3x2 – 5x 2. which two factors can be multiplied together to make this trinomial?

EastWind [94]

The two factors multiplied together to make a trinomial is (x-1)(3x-2).

Given equation is 3x²-5x+2.

An algebraic equation which of the second degree in x is known as quadratic equation. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

In the given equation,

Multiply the first coefficient 3 with the last coefficient 2 so we get 2×3=6

Use any two numbers which on multiply give 6 and on adding or subtracting give -5.

Such two numbers are -2 and -3

On multiplying, (-3)×(-2)=6

On Adding, -3-2=-5

So, break -5x into -3x and -2x and we get

3x²-3x-2x+2

Taking out 3x common from the first two terms and -2 from the last two terms as

3x(x-1)-2(x-1)

Taking out the common term (x-1) as common and get

(x-1)(3x-2)

Hence, the two factors of the equation 3x²-5x+2 that can be multiplied together to make this trinomial is (x-1)(3x-2).

Learn more about factorization from here brainly.com/question/22673662

#SPJ4

7 0

2 years ago

Find the equation of the tangent line at the point where the curve crosses itself. x = t^3-6t, y = t^2.

Sphinxa [80]

Here is the solution for this specific problem:

Based from the graph, the curve will intersect itself at the y-axis, i.e. x = 0. 

t^3 - 6t = 0 
t(t^2 - 6) = 0 
t = 0 or t = ± √6 

dx/dt = 3t^2 - 6 
dy/dt = 2t 

dy/dx = 2t/(3t^2 - 6) 

@ t = 0, dy/dx = 0. 
x = 0, y = 0 

y = 0 

@ t = √6, dy/dx = 2√6/12 = √6/6 
x = 0, y = 6 

y - 6 = (√6/6) x 
y = (√6/6)x + 6 

@ t = -√6, dy/dx = -2√6/12 = -√6/6 
x = 0, y = 6 

y - 6 = (-√6/6) x 
y = (-√6/6)x + 6

So the equations of the tangent line at the point where the curve crosses itself are: y = (√6/6)x + 6 and y = (-√6/6)x + 6. I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

4 0

4 years ago