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
VARVARA [1.3K]
4 years ago
5

For a quadratic function ƒ(x)=ax2+bx+c, ƒ(−1)<1, ƒ(1)>−1, and ƒ(3)<−4. What could be the sign of a?

Mathematics
1 answer:
denis23 [38]4 years ago
4 0

Answer:

"a" must be negative

Step-by-step explanation:

The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.

The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.

Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.

You might be interested in
Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the t
mezya [45]
To find the height of the lighthouse, use tan45= \frac{h}{14} to get that h = 14 (the tangent of 45 is 1).  Now for the next question, you have to use the height you just solved for to find angle y.  Use tan(y)= \frac{14}{26} and the inverse tangent button on your calculator tells us that the angle is 28.3. Now for the last question, use the supplement of 45 to get that the angle adjacent to y is 135.  180 - 135 - 28.3 = 16.7  That's your x value.
6 0
3 years ago
Factorise the following quadratic equations ​
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

x² + x - 6 = (x + 3)(x - 2)

17

x² - 27x + 50 = (x - 25)(x - 2)

19

r² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

r² - 25

= r² - 5² = (r - 5)(r + 5)

5 0
3 years ago
Read 2 more answers
it wants an expression. What do you see from that tape diagram? 4 copies of? will equal 76? I know 4x19=76, but there is a varia
lana [24]

Answer:

I did these 4 years ago they don't matter and you won't ever use them

7 0
3 years ago
Read 2 more answers
help this is hard Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s
Nesterboy [21]

Answer:

x = -\frac{3}{b}

x = -1

Step-by-step explanation:

The given equation is,

-2(bx - 5) = 16

Dividing by (-2) on both sides of the equation,

\frac{-2(bx-5)}{(-2)}=\frac{16}{(-2)}

(bx - 5) = -8

By adding 5 on both the sides of the equation,

(bx - 5) + 5 = -8 + 5

bx = -3

Dividing by 'b' on both the sides of the equation,

\frac{bx}{b}=\frac{-3}{b}

x = -\frac{3}{b}

If b = 3,

x = -\frac{3}{3}

x = -1

6 0
3 years ago
200_____ times as much as 2
artcher [175]

200 Is 100 times as much as 2,

<em>200 / 2 = 100</em>

<em>and </em>

<em>100 x 2 = 200</em>

5 0
3 years ago
Read 2 more answers
Other questions:
  • PLZ HELP!!!!
    5·2 answers
  • a sign for a museum is shaped like a parallelogram. the base of the sign is 20 feet, and the area is 500 square feet. what is th
    9·1 answer
  • You purchase a desk for 60% of the original price p. This price is $32 less than the original price. write an equation
    8·1 answer
  • A $300 tablet is on sale for $234. what is the percent of discount ?
    6·1 answer
  • Determine the measure of the missing angles. Show your work! Be ready to discuss your answer.
    7·2 answers
  • F=(9/5) C +32, C=15 Can you show me what a graph looks like?
    12·1 answer
  • HELP PLEASE!!! Evaluate the expression 12 + {-4 + 2[1 + 3(-5 – 3)]} and enter your answer.
    7·1 answer
  • Ethod
    12·1 answer
  • What is the poem Caged Bird about?​
    15·1 answer
  • Pls help. Multiply 2/3×7/12×9/14
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!