Find the common factor of all the terms of the polynomial 3x+6<br> a. 2 <br> b. 3<br> c. x<br> d. 6

Your basketball team scored 4 fewer than twice as many points, x, as the other team. write an expression for the number of point

Ksju [112]

2x-4
If x is the amount the other team scored then the 2x is double. This gives that 4 less than double the amount of the other team would be minus 4

8 0

3 years ago

Explain how to compute 3/4 x 4/5 using one diagram.

Drupady [299]

Answer:

The simplified form of given expression is 3/5.

Step-by-step explanation:

The given expression is

$\frac{3}{4}\times \frac{4}{5}$

We need to find the product of two factions using diagram.

For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.

For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.

Now combined both boxes and shown below.

From the below figure it is clear that

The number of common shaded small boxes = 12

Total number of small boxes = 20

The required fraction is

$Fraction=\frac{\text{Number of common shaded small boxes}}{\text{Total number of small boxes}}$

$Fraction=\frac{12}{20}$

Cancel out common factor.

$Fraction=\frac{3}{5}$

Therefore, the simplified form of given expression is 3/5.

5 0

3 years ago

which statement is not a step used when constructing an inscribed equilateral triangle. A keep your compass at the with equal to

djyliett [7]

Answer: Connect the two circles together using the compass.

Steps to inscribe an equilateral triangle into a circle:

1. You are given a circle with the center marked.

2. Draw a radius of the circle using your straightedge.

3. Keep your compass open to the width of the radius and place it on the point where the radius and circle intersect.

4. Swing an arc the length of the radius that intersects the circle to the left of the radius originally drawn.

5. Keeping your compass at the same width, place it on the new intersection point you created in the previous step.

6. Continue this process until six points of intersection exist on the circle.

7. Connect together the first, third, and fifth intersection points.

7 0

3 years ago

A company that produces dog food claims that its bags contain 11 kg of food. From

andriy [413]

By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.

We are required to find whether the company is right in saying that their bags contain 11 kg of food.

First we have to make hypothesis.

$H_{0}$ :μ≠11

$H_{1}$ :μ=11

We have to use t statistic because the sample size is less than 30.

t=(X-μ)/s/ $\sqrt{n}$

We will use s/ $\sqrt{n}$ =0.6 because we have already given population standard deviation of weights.

t=(11-10.6)/0.6

=0.4/0.6

=0.667

Degree of freedom=n-1

=25-1

=24

T critical at 0.05 with degree of freedom 24=2.0639

T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.

Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Learn more about t test at brainly.com/question/6589776

#SPJ1

3 0

2 years ago

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed

zavuch27 [327]

Answer:

(Choice A) A graph of an increasing linear function in quadrant 1 with a positive y-intercept.

Step-by-step explanation:

The weight of the sumo wrestler starts at a positive value of 79.5 kilograms, and we are given that the sumo wrestler gains a linear amount of weight per month at 5.5 kilograms per month.

If we were to graph this relationship, the sumo wrestler's weight would be represented on the y-axis, and the amount of time on the x-axis.

So the initial weight would occur at (0, 79.5) which is the positive y-intercept.

And since his weight is increasing at 5.5 kilograms per month, the slope of the linear function is positive.

Hence, the graph of the linear increasing function in quadrant 1 with a positive y-intercept.

Cheers.

5 0

3 years ago

Find the common factor of all the terms of the polynomial 3x+6 a. 2 b. 3 c. x d. 6