(2a2 + a + 3) ÷ (a - 1)
Answers
Key: “/“ is a fraction bar
Key: 5a+3 is the numerator
Key: a-1 is the denominator
Hope this helps! <3
Related Questions
Which of the following best describes the algebraic expression 15x+8
A trapezoid with an area of 45 square units is plotted on the coordinate plane. This trapezoid can be decomposed into a rectangle and right triangle. The vertices of the rectangle are located at the points (–6, –2),(–6, 3), (1,3), and (1,–2). Write two possible coordinates for the last vertex of the trapezoid that have different x-coordinates. Show your work in the space below or on the coordinate plane.
Make x the subject of y = 4x + 1
Which word describes a triangle with three angles, if each angle measures less than 90°?
Answers
Vcylinder=hpir^2
Vcone=(1/3)hpir^2
Vpyramid=(1/3)hlw
notice that the cylinder has a circle base and circle top
cone tapers
when that happens, the cone is 1/3 of the whole
so the pyrmid is 1/3 the volume of a shape with same base area and same height
Answers
The density of the soda is 3.6 g/cm³
What is density?
Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.
Given that, a cylindrical glass of soda has a mass of 700g. The glass itself has a mass of 80g, the glass has a radius of 4 cm and a height of 8 cm,
We are asked to find the density of the soda,
Density = mass / volume
Volume = 2π×radius×height
Therefore,
Density = 700/2π×4×8 [we will not add the mass of glass because we need to find the density of soda only]
Density = 700/194.68
= 3.59
= 3.6
Hence, the density of the soda is 3.6 g/cm³
Learn more about density, click;
#SPJ1
Answers
The student has an average of 76 on his first 5 quizzes. Remember that average is also known as mean. Mean is calculated by adding the values in a data set and dividing it by the amount of numbers you added.
In this case,the mean is 76. That means five numbers were added and divided by 5 and the quotient was 76.
You can find the dividend by cross multiplying.
The total points he got on his first 5 quizzes was 380.
If he wants to boost his average grade up to an 8 after taking another 5 quizzes, you need to multiply his average goal by the amount of quizzes, which is 10(5+5=10).
His total points after taking all his quizzes(that is, if he reached his goal) should be 800. Because he already took 5 quizzes and got a total score of 380, you're going to subtract 380 from 800 and divide it by the remaining quizzes left, which is 5.
First subtract 380 from 800:
That means his next 5 quizzes need to sum up to a total of 420 points. Since you're trying to find the average of his next 5 quizzes in order to average up to an 80, you need to divide 420 by 5(number of remaining quizzes).
Divide:
Your answer is 84(84%).
Answers
Answer:
His normal heart rate is 50 beats per minute.
Step-by-step explanation:
Since when it is hibernating it beats 10 times per minute and that is 20 % of the normal volume we can use a rule of 3 to find his normal herat rate. If 10 times per minutes is 20% of its normal volume then x times per minutes is 100%. So we have:
10 -> 20%
x -> 100%
10/x = 20/100
20x = 1000
x = 50 beats per minute
Answer:
50 beats per minute
Step-by-step explanation:
To find the heart hate of a grizzly bear when not hibernating, we need to get the heart rate when hibernating (10 beats per minute) and make it equal to 20% in a rule of three, where we want to know the 100% value (normal heart beat rate):
10 beats per minute -> 20%
X beats per minute -> 100%
10/X = 20/100
X = 100 * 10/20 = 50
Answers
Answers
Multiply through by 2 to get:
x^2 - 2x + 10 = 0
Therefore, x = 1 + 3i or x = 1 - 3i