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3 years ago

The graph of y=-3x + 4 is:

Mathematics

2 answers:

lidiya [134]3 years ago

8 0

The correct answer is d

tankabanditka [31]3 years ago

6 0

Answer:

Step-by-step explanation:

An equation with both x and y in it will draw a graph, in this case a line. A line is an infinite number of points, and each point is a solution, so it is a set of all solutions.

You might be interested in

A lock consist of 4 dials where each dial has 6 letters what is the probability of guessing the right combination in one try’s

VARVARA [1.3K]

Using it's concept, it is found that the probability of guessing the right combination in one try’s is of $\frac{1}{1296}$ .

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 4 dials, each with a $\frac{1}{6}$ probability of getting it correct, hence the probability of getting the right combination is given by:

$p = \left(\frac{1}{6}\right)^4 = \frac{1}{1296}$ .

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0

2 years ago

According to the manufacturer of a backup UPS device, the normal output voltage is 120 volts. The sample of 40 measured voltage

anyanavicka [17]

Answer:

z = 1.83<1.96

null hypothesis is accepted

The sample is came from a population mean

Step-by-step explanation:

Step :-1

The sample of 40 measured voltage amounts from a unit have a mean of 123.59 volts and a standard deviation of 0.31 volts

given sample size n =40

mean of the sample ×⁻ = 123.59 volts

standard deviation of sample σ = 0.31 volts

Step2:-

Null hypothesis :-

the sample is from a population with a mean equal to 120 volts.

H₀ : μ =120

Alternative hypothesis:-

H₁ : μ ≠120

level of significance:- α =0.05

Step 3:-

The test statistic

$z = \frac{x_{-}-mean }{\frac{S.D}{\sqrt{n} } }$

substitute values and simplification

$z = \frac{123.59-120}{\frac{0.31}{\sqrt{40} } }$

on simplification we get the calculated value

z = 1.83

The tabulated value z =1.96 at 0.05 % level of significance

Conclusion:-

Calculated Z < The tabulated value z =1.96 at 0.05 % level of significance

so the null hypothesis is accepted

The sample is came from a population mean

4 0

3 years ago

Find f(x) and g(x) so that the function can be described as y=f(g(x)) y=(9/x^2)+2

eduard

there are many combinations for it, but we can settle for say

$\bf \begin{cases} f(x)=x+2\\[1em] g(x)=\cfrac{9}{x^2}\\[-0.5em] \hrulefill\\ (f\circ g)(x)\implies f(~~g(x)~~) \end{cases}\qquad \qquad f(~~g(x)~~)=[g(x)]+2 \\\\\\ f(~~g(x)~~)=\left[ \cfrac{9}{x^2} \right]+2\implies f(~~g(x)~~)=\cfrac{9}{x^2}+2$

6 0

4 years ago

Harvey plans to use 5 ft of shelving for four shelves whose lengths are to be a series of consecutive even numbers. How many inc

IgorC [24]

5 ft = 5 * 12 in = 60 inches
Four consecutive even numbers are: x, x + 2, x + 4, x + 6
x + x + 2 + x + 4 + x + 6 = 60
4 x + 12 = 60
4 x = 60 - 12
4 x = 48
x = 48 : 4
x = 12
Answer:
Those shelves should be: 12, 14, 16 and 18 inches long.
Verification: 12 + 14 + 16 + 18 = 60 in = 5 ft.

7 0

4 years ago

On a team, 6 girls and 5 boys scored a total of 57 points. The difference between the number of points scored by the 6 girls an

kow [346]

Answer:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Step-by-step explanation:

The number of points scored by girls = x

The number of points scored by boys = y

On a team, 6 girls and 5 boys scored a total of 57 points.

6 × x + 5 × y = 57

6x + 5y = 57....... Equation 1

The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.

6x - 5y = 27.......... Equation 2

6x + 5y = 57....... Equation 1

6x - 5y = 27.......... Equation 2

We Add the Equations together

12x = 84

x = 84/12

x = 7 points

6x + 5y = 57....... Equation 1

6(7) + 5y = 57

42 + 5y = 57

5y = 57 - 42

5y = 15

y = 15/5

y = 3 points

Hence:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

3 0

3 years ago