answer.
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
levacccp [35]
2 years ago
12

If f(x) and g(x) are quadratic functions but (f+g)(x) produces true graph below, hutch statement must be true ?

Mathematics
1 answer:
alexgriva [62]2 years ago
3 0

Answer:

A. the leading coefficients of f (x) and g (x) are opposites

Step-by-step explanation:

A. the leading coefficients of f (x) and g (x) are opposites

A quadratic function in its generic form is:

 f (x) = ax2 + bx + c

 g (x) = dx2 + ex + f

 The sum of the functions is:

 (f + g) (x) = (a + d) x2 + (b + e) x + (c + f)

 For the function to be linear necessarily:

 a = -d

You might be interested in
You are a pharmacy technician. You need to prepare a 0.85-gram dose of a liquid antibiotic. The medicine is concentrated at 250
Xelga [282]

Answer:

17mL

Step-by-step explanation:

Convert 0.85 gr to miligrams

If 100 mg is 1 gr. Then, 0.85 gr is 850 mg

So, 850 multiply for 5ml and divide for 250 ml

or 850mg  \frac{5ml}{250mg}

So all mg is gone and the amount of mililiters is 17

5 0
2 years ago
Read 2 more answers
A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form e
sasho [114]
M=slope
In this case the slope would be $25
y=mx+b
y=25x+45

Answer: m=25
5 0
2 years ago
Read 2 more answers
Paul bakes loaves of bread and bread rolls in the ratio of 2:5. If he bakes 750 bread rolls, how many loaves will he bake? A rec
Zanzabum
Paul bakes 300 bread loaves. I don’t know the question you’re asking for the second question.
6 0
1 year ago
Read 2 more answers
. A manager has just received the expense checks for six of her employees. She randomly distributes the checks to the six employ
Tcecarenko [31]

Answer:

13,8%

Step-by-step explanation:

There are six employees and six cheks, so there are 36 (6x6) possible combinations so if we need to measure the probability that five of them receive the exact check  is only one for each one of them over the 36 possibilities, so 1/36 for one plus 1/36 the second and so on.  5/36 = 13,8%.

3 0
1 year ago
According to a survey, 10% of Americans are afraid to fly. Suppose 1100 Americans are sampled. a) What is the probability that 1
JulijaS [17]

Answer:

a) 14.46%

b) 0.00%

c) 1.54%

Step-by-step explanation:

According to the survey, 10% of Americans are afraid to fly.

This means p=0.10 and q=1-0.10=0.90.

If 1100 Americans are sampled, then the sample size is n=1100 .

The mean of the distribution is \mu=np.

This means \mu=1100\times 0.10=110

The standard deviation is \sigma=\sqrt{npq}

We substitute the values to get:

\sigma=\sqrt{1100\times 0.1\times 0.9}=9.95

a) We want to find the probability that 121 or more Americans in the survey are afraid to fly.

We first apply the continuity correction factor to get: P(X\ge121)=P(X\:>\:121-0.5)\\P(X\ge121)=P(X\:>\:120.5)

We now convert to Z-scores to get:

P(X\:>\:120.5)=P(z\:>\:\frac{120.5-110}{9.95})=1.06\\

From the standard normal distribution table P(z>1.06)=0.1446

As a percentage, the probability is 14.46%

b) We want to find the probability that 165 or more Americans in the survey are afraid to fly.

We apply the CCF to get:

P(X\ge165)=P(X\:>\:165-0.5)\\P(X\ge165)=P(X\:>\:164.5)

We convert to z-scores:

P(X\:>\:164.5)=P(z\:>\:\frac{164.5-110}{9.95})=5.48

From the normal distribution, P(z>164.5)=0

c)  First, 8% of 1100 is 88.

We want to find the probability that 88 or less Americans in the survey are afraid to fly.

We apply the CCF to get:

P(X\le88)=P(X\:

We convert to z-scores:

P(X\:

From the normal distribution, P(z>\:-2.16)=0.0154

As a percentage, we get 1.54%

3 0
2 years ago
Other questions:
  • A recipe for uncle Frank's homemade hush puppies call four 1/8 teaspoon of cyan pepper the recipe calls for six times as much as
    8·1 answer
  • What additional information do you need to prove that ∆LMO ≅ ∆LNO by the HL Theorem? ∠NLO ≅ ∠MLO ∠MOL ≅ ∠NOL
    10·2 answers
  • Annie and Dustin took a beginner's programming course over several weekends that showed them how to make simple video games. The
    11·1 answer
  • Helen draws a random circle She then measures the diameter and circumference
    6·1 answer
  • What is msu?<br> 49°<br> 77°<br> 98°<br> 161°
    13·2 answers
  • If ce = 7x+4, find the value of x
    7·2 answers
  • A machine at Keats Corporation fills 64-ounce detergent jugs. The machine can be adjusted to pour, on average, any amount of det
    6·1 answer
  • What information would verify that LMNO is an isosceles trapezoid? Check all that apply. LN ≅ MO LM ≅ ON LO ≅ MN ∠L ≅ ∠N ∠L ≅ ∠M
    9·2 answers
  • If an exponential model was used to fit the data set below, which of the following would be the best prediction for the output o
    11·1 answer
  • There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!