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maks197457 [2]
3 years ago
15

Let m = 3. Enter > , < , or = to compare the expressions. 4m−1 ? 5m−4

Mathematics
2 answers:
bazaltina [42]3 years ago
4 0
= because 4 times 3 minus 1 equals 11 and 5 times 3 minus 4 equals 11
eduard3 years ago
4 0
To figure it out you need to plug the 3 in for m and solve

First - plug 3 in for m:
4(3)-1 ? 5(3)-4

Second - Multiply:
12-1 ? 15-4

Third - Subtract:
11 ? 11

Fourth - Figure out what sign makes sense:
11 = 11
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4/16 in the lowest terms
miskamm [114]

Answer:

1/4

Step-by-step explanation:

The answer is 1/4 because 4 is the greatest common factor (GCF) of both numbers. So you divide both numbers by 4.

4 ÷ 4 = 1

16 ÷ 4 = 4

Therefore, the answer is 1/4.

6 0
3 years ago
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You move right 3 units and left 4 units. you end at (-3,-1). where did you start?​
Tema [17]

Answer:

(-2,-1) is where u start

Step-by-step explanation:

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3 years ago
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Given f(x) = 3/4 x + 12, find the value of x when f(x) = x.
12345 [234]

Answer:

The rigth answer is, x = 1

Step-by-step explanation:

As:

f (x) = 3/4 x + 12

They separate the terms:

3/4 x = 12

Then, what you are multiplying happens to divide:

x = 12/1/3/4

Media are divided by means and ends with ends, and we have as a result that:

x = 3/3 = 1

5 0
3 years ago
Describe each graph in relation to its basic function.
emmainna [20.7K]

Answer:

In a nutshell, f(x) is obtained by applying an horizontal translation on g(x), followed by a vertical translation.

Step-by-step explanation:

Let be g(x) = x^{3} the parent function, f(x) is obtained by applying an horizontal translation on g(x), followed by a vertical translation, that is:

f(x) = g(x-a)-b,\,a,b\in\mathbb{R} (1)

If a > 0, then translation is rightwards.

If b > 0, then translation in downwars.

If a = 2 and b = 1, then the resulting function is:

f(x) = g(x-2)-1

f(x) = (x-2)^{3}-1 (2)

In a nutshell, f(x) is obtained by applying an horizontal translation on g(x), followed by a vertical translation.

8 0
3 years ago
The following confidence interval for the population proportion for how many U.S. adults do not get enough fruits and vegetables
Zielflug [23.3K]

Answer:

The interval is constructed at 93% confidence.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between these two bounds, divided by 2.

Confidence interval of proportions concepts:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, we have that:

2050 people, so n = 2050.

Lower bound: 0.878

Upper bound: 0.903

\pi = \frac{0.878 + 0.903}{2} = 0.8905

M = \frac{0.903 - 0.878}{2} = 0.0125

Confidence level:

We have to find z.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.0125 = z\sqrt{\frac{0.8905*0.1095}{2050}}

0.0069z = 0.0125

z = \frac{0.0125}{0.0069}

z = 1.81

z = 1.81 has a pvalue of 0.965.

That is:

]1 - \frac{\alpha}{2} = 0.965

\frac{\alpha}{2} = 0.035

\alpha = 2*0.035

\alpha = 0.07

Finally

1 - \alpha = 1 - 0.07 = 0.93

The interval is constructed at 93% confidence.

3 0
3 years ago
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