1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Margarita [4]
3 years ago
10

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Mathematics
1 answer:
Llana [10]3 years ago
5 0
F(x) = -x² + 4
g(x) = 6x

(g - f)(3) = 6(3) - (-(3)² + 4)
(g - f)(3) = 18 - (-9 + 4)
(g - f)(3) = 18 - (-5)
(g - f)(3) = 18 + 5
(g - f)(3) = 23
<span>
</span>
You might be interested in
An environmental group at a local college is conducting independent tests to determine the distance a particular make of automob
melomori [17]

Answer:

26.5265

Step-by-step explanation:

<u>Confidence Interval</u>

When the population standard deviation \sigma is known, the formula for a confidence interval for a population mean \bar x is:

\displaystyle \bar x \pm z\frac{\sigma}{\sqrt{n}}

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

\bar x=28.2,\ \sigma=2.7, \ n=10

Calculating the confidence interval

\displaystyle 28.2 \pm 1.96\frac{2.7}{\sqrt{10}}

\displaystyle 28.2 \pm 1.6735

Or, equivalently

26.5265

6 0
3 years ago
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the dis
Arte-miy333 [17]
One way to go about this is to first list everything we know in the form of variables. This will make it easier to see how these numbers correlate instead of trying to remember formulas to plug these numbers into.

TimeA = 2.4h (time of Car A to travel)
TimeB = 4h (time of Car B to travel)
SpeedA = SpeedB + 22mph (Speed of Car A<span>)
</span>SpeedB = SpeedA - 22mph (Speed of Car B<span>)
</span>Distance = x (the distance traveled by each car)

We are looking for SpeedA. How can we find this? Well, we know that speed multiplied by time is equal to distance, so let's start there.

SpeedA * 2.4h = x
<span>(SpeedB + 22mph) * 2.4h = x
</span>(2.4h * SpeedB) + 52.8miles = x

We also know that:
SpeedB * 4h = x

Since both of these equations are equal to x, we can combine them:
SpeedB * 4h = x = <span>(2.4h * SpeedB) + 52.8miles
</span>SpeedB * 4h = <span>(2.4h * SpeedB) + 52.8miles
</span>1.6h * Speed B = 52.8miles
SpeedB = 52.8/1.6 mph = 33 mph

<span>SpeedA = SpeedB + 22mph = 33mph + 22mph = 55mph
</span>
Therefore, Car A was traveling at 55mph.
3 0
3 years ago
WHAT IS THE RELATIONSHIP BETWEEN THE ANGLE OF ELEVATION AND THE ANGLE OF DEPRESSION? GIVE AN EXAMPLE OF AN APPLICATION USING THE
Makovka662 [10]
Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

6 0
3 years ago
Read 2 more answers
Insert parentheses to make the statement true <br> 21-8-6=7
Advocard [28]

(21-8)-6=7

and that's it

5 0
3 years ago
40x40x40+26-98+45x78x78x78 then divide by 3
kykrilka [37]
You've written "then" before 3, so i assume the real question is:

(40 * 40 * 40 + 26 - 98 + 45 * 78 * 78 * 78) / 3
Use "PEMDAS" first solve under the parenthesis, then after it.

= (64000 + 26 - 98 + 21354840) / 3
= 21418768 / 3
= 7139589.33

In short, Your Answer would be: 7139589.33

Hope this helps!
7 0
3 years ago
Other questions:
  • 89,891 to the nearest ten thousands place
    6·2 answers
  • Please help I'm stuck ?
    11·2 answers
  • Calculate the perimeter of each figure <br> How do you find the perimeter of a figure
    12·1 answer
  • Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. The princ
    15·1 answer
  • For the following parameterized​ curve, find the unit tangent vector. Bold r (t )r(t)equals=left angle 4 cosine (t )comma 4 sine
    6·1 answer
  • A brownie recipe asks for tow and one third times as much sugar as chocolate chips. If three and one half cups of sugar is used,
    9·1 answer
  • Please answer now this is a big test <br><br>which description best fits the group​
    9·1 answer
  • Algebra II Question - Tell whether the ordered pair is a solution of the system, if so why?
    8·1 answer
  • Look at each pair of expressions. Select Equivalent or Not Equivalent for each pair Equivalent Not Equivalent a. f+f+fand 31 b.
    5·1 answer
  • Yaahkwjjqhqhwauhwshakwhsksjwhsjwhsjksjshdksbshxnxhrjdns
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!