All categories

2 years ago

Select all the statements that are true for the graph shown.

Mathematics

2 answers:

Yuki888 [10]2 years ago

3 0

Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

$m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3$

The rate of change of the line or slope of the line is -3

Equation of the line is given by

$(y-0)=-3(x-0)\\\Rightarrow y=-3x$

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

professor190 [17]2 years ago

3 0

Answer:

Step-by-step explanation:

Proportional

Linear

Equation of line is y=-3x

You might be interested in

Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di

tatyana61 [14]

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples

The null hypothesis is H₀: μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

$z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}$

Where;

$\bar {x}_1$ = 13.5

$\bar {x}_2$ = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

$z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969$

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

8 0

3 years ago

An inference _______.

Alex Ar [27]

Answer:

It is a possible explanation of events using prior knowledge

Step-by-step explanation:

6 0

3 years ago

Please help i dont get it and its for a grade! :(

Tju [1.3M]

Answer:

y=-4x+5

Step-by-step explanation:

7 0

2 years ago

What is the value of the 4 in 24,106? I don’t get how to do this. Can you explain how you do the answer too please?

Natasha2012 [34]

The value of 4 is 4000, this is because it is in the thousands column (units,tens,hundreds,thousands etc)

4 0

2 years ago

In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following

Anna [14]

A circle is a figure bounded by a curved side which is referred to as circumference. Thus the area of the shaded region is option D. 81.65.

A circle is a figure bounded by a curved side which is referred to as circumference. Some of its parts are radius, diameter, sector, arc, etc.

The area of a circle can be determined by the given expression:

Area = π $r^{2}$

where r is the radius of the circle and π = $\frac{22}{7}$

So, the area of the shaded region can be determined as:

Area of the shaded region = area of the larger circle - area of the smaller circle

Area of the shaded region = π $(6.8)^{2}$ - π $(4.5)^{2}$

= π (46.24 - 20.25)

= $\frac{22}{7}$ x 25.99

= $\frac{571.78}{7}$

Area of the shaded region = 81.683

Thus the appropriate answer to the question is option D. 81.65.

For more clarifications on the area of a circle, visit: brainly.com/question/3747803

#SPJ1

6 0

2 years ago