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1 year ago

Evaluate the function rule for the given value. f(x) = 3x for x = –4

Mathematics

1 answer:

dsp731 year ago

6 0

Answer:

f(x)=-12

Step-by-step explanation:

Since x=-4 substitute -4 into the equation

f(x)=3*-4

f(x)=-12

Hope this helped!

You might be interested in

Point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1

Arturiano [62]

Answer:

The x-coordinate of point P is 6

Step-by-step explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

$AP=\frac{2}{3} AB$

and

$AP_x=\frac{2}{3} AB_x$

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

$AB_x=8-2=6\ units$

$AP_x=\frac{2}{3} (6)=4\ units$

The x-coordinate of P is equal to

$P_x=A_x+AP_x$

where

A_x represent the x-coordinate of A

substitute the values

$P_x=2+4=6$

therefore

The x-coordinate of point P is 6

6 0

2 years ago

Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relat

Neko [114]

Answer:

Wilson is 6 older than mary

w=6+m

wilson is 10 less than 5 times mary

w=-10+5m

w=5m-10

so now we set them eqal to each other since both equal w

m+6=w=5m-10

m+6=5m-10

minus m both sides

6=4m-10

add 10 to both sides

16=4m

divide both sides by 4

4=m

sub back

w=m+6

w=4+6

w=10

wilson=10

mary=4

the correct method is math

3 0

2 years ago

Jim currently has $1,250 in his bank account and Sally has $1,400 in her bank account. Jim deposits $27.50 per week and Sally

ale4655 [162]

Answer:

20 weeks.

Step-by-step explanation:

The equations of money deposits of each bankholder as a function of time are, respectively:

Jim

$p_{1} = 1250 + 27.50\cdot t\\$

Sally

$p_{2} = 1400 +20\cdot t$

The number of weeks so that both have the same amount of money is:

$1250 + 27.50\cdot t = 1400 + 20\cdot t$

$7.50\cdot t = 150$

$t = 20$

8 0

3 years ago

A survey of 400 non-fatal accidents showed that 189 involved the use of a cell phone. Find a point estimate for p, the populatio

nekit [7.7K]

Answer:

The point estimate for the proportion is p = 0.4725

The 95% confidence interval for the proportion of non-fatal accidents that involved the use of a cell phone is (0.4236, 0.5214).

Step-by-step explanation:

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 400$

Point estimate

$\pi = p = \frac{189}{400} = 0.4725$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4725 - 1.96\sqrt{\frac{0.4725*0.5275}{400}} = 0.4236$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4725 + 1.96\sqrt{\frac{0.4725*0.5275}{400}} = 0.5214$

The 95% confidence interval for the proportion of non-fatal accidents that involved the use of a cell phone is (0.4236, 0.5214).

7 0

2 years ago

15 > p + 9 grater than or equal to 11

gogolik [260]

$Question ~ Below!$

15 > p + 9 grater than or equal to 11

Answer:

Hi, There! Frozen Here! I'm here to help :)

First We Will Start with the Correct Answer!

The Correct Answer is Greater Than 11!

But the Answer to your Equation is P < 6

Step-by-step explanation:

15>p+9

Step 1: Flip the equation.

p+9<15

Step 2: Subtract 9 from both sides.

p+9−9<15−9

p<6

Hope this Helps!

4 0

2 years ago