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
vfiekz [6]
3 years ago
7

Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of (f − g)(−4)? ...?

Mathematics
1 answer:
MakcuM [25]3 years ago
7 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

f(x) = x2 - 13 
g(x) = x + 5

<span>and are asked to compute "f-g" when x=-4. there are two ways of doing this. you can either first find f(-4) and g(-4) and then substract one from other like so:
</span>
<span>f(−4)=(−4<span>)2</span>−13=16−13=3
</span><span>g(−4)=−4+5=1

</span>f(−4)−g(−4)=3−1=<span>2
</span>
<span>or you can create a new function that represents "f-g", call it "h", and work out h(-4) as follows:
</span>
h(x)=f(x)−g(x)=(<span>x2</span>−13)−(x+5)=<span>x2</span>−13−x−5=<span>x2</span>−x−<span>18
</span><span>h(−4)=(−4<span>)2</span>−(−4)−18=16+4−18=2</span>
You might be interested in
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. A medical center o
viktelen [127]

Answer:

1) 0.1504

2) 0.432

Step-by-step explanation:

1) The given information are;

The proportion of the morning appointments that are with elderly patients = 60%

The number of patients in the appointments  = 10 patients

The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%

The binomial probability distribution is given as follows;

P(X = r) = \dbinom{n}{r}p^{r}\left (1-p  \right )^{n-r}

P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6  \right )^{10} = 0.000105

P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6  \right )^{9} = 0.0016

P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6  \right )^{8}= 0.01062

P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6  \right )^{7}= 0.0425

The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504

2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows

P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6  \right )^{1}= 0.432

8 0
3 years ago
A lady is 5 years younger to her husband and he is 5 times as old as his daughter. If the daughter was 5 years old 3 years back,
adoni [48]

Answer:

35

Step-by-step explanation:

5x (5+3)=40-5=35

3 0
2 years ago
Using the digits 1 to 9, at most one time each, fill in the boxes so that the points make a parallelogram. Mathematically, use p
Lera25 [3.4K]

Answer:

\left\begin{array}{ccc}A\left( \boxed{3}  , \boxed{8} \right)&B\left( \boxed{9}  , \boxed{6} \right )\\\\C\left( \boxed{1}  ,  \boxed{4} \right)&D\left( \boxed{7}  ,  \boxed{2} \right )\end{array}\right

Step-by-step explanation:

The coordinates are:

\left\begin{array}{ccc}A\left( \boxed{3}  , \boxed{8} \right)&B\left( \boxed{9}  , \boxed{6} \right )\\\\C\left( \boxed{1}  ,  \boxed{4} \right)&D\left( \boxed{7}  ,  \boxed{2} \right )\end{array}\right

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

  • AB=CD; and
  • AC=BD

Using Distance Formula

AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units

CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units

AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units

BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

3 0
3 years ago
Please provide an explanation. Simplify sqrt242
alex41 [277]
Sqrt242 can't be simplified anymore. It doesn't contain any perfect squares factors. For instance,
\sqrt{150}
This can be simplified because
\sqrt{25 \times 6}
And 25 is a perfect square, and square root of 25 is 5. The simplified version for this would be 5 sqrt (6). For your question, sqrt 242 can't be simplified anymore, its most simplified version is its current state.
6 0
3 years ago
Read 2 more answers
Determine which consecutive integers do not have a real zero of between them. a. (–6, –5) c. (–2, –1) b. (–5, –4) d. (1, 2) Plea
svetoff [14.1K]
We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.

7 0
3 years ago
Other questions:
  • A polynomial of degree zero is constant term. true or false
    8·1 answer
  • Simplify the following expression.<br>6 48- 0.36​
    9·1 answer
  • A single, six-sided die is rolled. Find the probability of rolling an odd number or a number less than 4.
    5·2 answers
  • A square game board is divided into smaller squares, each with sides one-third the length of the sides of the board.
    9·1 answer
  • The vertices of triangle ABC are A(−5, 1), B(−2.5, 7), and C(0, 1). Find the new coordinates of the vertices after the given tra
    9·2 answers
  • Mrs B and Ms R plan to walk 3.75 miles to and from school every day for an entire year. If they meet their goal how many miles w
    15·1 answer
  • What kind of triangle Is ACD
    13·1 answer
  • A set of four numbers that begins with the number 32 is arranged from smallest to
    14·1 answer
  • Each of the equal sides of an isosceles triangle is 5 times the third side. The perimeter of the triangle is 121 inches. Find th
    12·1 answer
  • Mark is baking a pie that has a diameter of 10 inches. he wants to cover the top of the pie with a pie crust . what is the area
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!