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
IceJOKER [234]
3 years ago
10

The function h(x) is quadratic and h(3) = h(–10) = 0. Which could represent h(x)?

Mathematics
2 answers:
MrMuchimi3 years ago
7 0
It would be the last one, h(x) = 2x2 + 14x - 60. If you plug in either 3 or -10 for the x value, the answer comes out to 0. 
liraira [26]3 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

We can solve this question by finding the values of h(3) and h(-10) from each option given.

Option A.

h(x) = x² - 13x - 30

h(3) = 3² - (13×3) - 30

      = 9 - 39 - 30

      = -60

h(-10) = (-10)² - 13(-10) - 30

         = 100 + 130 - 30

         = 200

Therefore, h(3) ≠ h(-10)

Option B.

h(x) = x² - 7x - 30

h(3) = 3² - 7×3 - 30

      = 9 - 21 - 30

      = -42

h(-10) = (-10)² - 7(-10) - 30

         = 100 + 70 - 30

         = 140

h(3) ≠ h(-10)

Option C.

h(x) = 2x² + 26x - 60

h(3) = 2(3)² + 26×3 - 60

      = 18 + 78 - 60

      = 36

h(-10) = 2(-10)² + 26(-10) - 60

         = 200 - 260 - 60

         = -120

h(3) ≠ h(-10)

Option D.

h(x) = 2x² + 14x - 60

h(3) = 2(3)² + 14(3) - 60

      = 18 + 42 - 60

      = 0

h(-10) = 2(-10)² + 14(-10) - 60

         = 200 - 140 - 60

         = 0

h(3) = h(-10) = 0

Therefore, option D is the answer.

You might be interested in
A canoe in still water travels at a rate of 12 miles per hour. The current today is traveling at a rate of 2 miles per hour. If
VARVARA [1.3K]

Answer:

It’s 60miles

Step-by-step explanation:

We assume the trip is "d" miles and that the "extra hour" refers to the additional time that a current of 2 mph would add. That is, we assume the reference time is for a current of 0 mph.

The time with no current is ...

 time1 = distance/speed

 time1 = d/12 . . . . hours

With a current of 2 mph in the opposite direction, the time is ...

 time2 = d/(12 -2) = d/10

The second time is 1 hour longer than the first, so we have ...

 time2 = 1 + time1

 d/10 = 1 + d/12

 6d = 60 + 5d . . . . multiply by 60

 d = 60 . . . . . . . . . subtract 5d

The one-way distance is 60 miles.

7 0
2 years ago
I WILL GIVE BRAINLIEST<br> Who will get this question right
Ksju [112]
If 101 use 3/5 for his Artwork, then the space remaining for 102 is:

5/5 - 3/5 = 2/5 (since the whole wall represents 100% or 5/5 or 1)

6 0
3 years ago
Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?
Anna35 [415]
<h3>Answer:  Choice C) </h3><h3>The system can only be independent and consistent</h3>

===========================================================

Explanation:

Let's go through the answer choices

  • A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
  • B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
  • C) We'll get back to this later
  • D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.

Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.

If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.

6 0
3 years ago
Read 2 more answers
Find the value of x to the nearest tenth
Salsk061 [2.6K]

Answer:

x = 41.2

Step-by-step explanation:

Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.

Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.

5 0
3 years ago
Read 2 more answers
The following graph indicates a _______________.
inna [77]
Bfh ju yrdfhjjgfjkiytdcbnkl
4 0
2 years ago
Other questions:
  • yup has lunch at a restaurant.if his bill was 14.50 and yup wants to leave a 20% tip,what is the amount he should leave for a ti
    7·1 answer
  • Determine the total number of roots of each polynomial function using the factored form. f (x) = (x + 5)3(x - 9)(x + 1)
    6·2 answers
  • Harry buys a car for £12500 during the first year it depreciates in value by 10% and during the second year it depreciates by 8%
    12·1 answer
  • The slope of a line is undefined, and the x-intercept is -7. What is the equation of the line? x = -7 y = -7 y = -7x
    10·2 answers
  • Let u = 〈1,5〉 and v = 〈3, −2〉. Write each vector in component form and draw an arrow to represent the vector.
    10·1 answer
  • How far is the point (12, 5) from the origin
    14·2 answers
  • Kendrick has 26 packets of sugar and 52 packets of artificial sweetener. He wants to divide
    13·1 answer
  • From the diagram below, you can say that the two triangles are
    14·1 answer
  • A rectangle has sides with lengths (x+5) and (x+6) . Find the perimeter
    7·1 answer
  • Find the perimeter. Simplify your answer.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!