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
nevsk [136]
3 years ago
7

The graph of the function f(x) = (x − 3)(x + 1) is shown.

Mathematics
2 answers:
Travka [436]3 years ago
8 0

Answer:

Real values of x where x < -1

Step-by-step explanation:

Above the x-axis, the function is positive.

The function is decreasing when the gradient is negative.

The function has a positive

{x}^{2}

coefficient, therefore the vertex is a local minimum;

This means the gradients are negative before the vertex and positive after it;

To meet the conditions therefore, the function must be before the vertex and above the x-axis;

This will be anywhere before the x-intercept at x = -1;

Hence it is when x < -1.

liberstina [14]3 years ago
4 0

Answer:

Real values of x where x < -1

Step-by-step explanation:

i did the test

You might be interested in
you start with 15 dollars and save 8 dollars each week. What algebraic expression model of the total amount you saved
Darya [45]
15 + 8(7)=x?
15 + 8(x)= x? 
no i think it will be the first one! 
15 + 8(7)= x
hope that helped?!!!
:)
8 0
4 years ago
2+8-z=24 please show the work thanks
marishachu [46]

Answer:

35, I think is the correct answer.


Step-by-step explanation:

2+8-z=24

10-z=25

   z=25+10

   z= 35

7 0
3 years ago
Read 2 more answers
The rules of a contest say that there is a 6% chance of winning a prize. Two hundred people enter the contest. Predict how many
Oxana [17]
6% of 200

.06 × 200

12

The answer is 12
7 0
4 years ago
4) The quantities x and y are in proportion x 4 30 8 __b__ a) b) c) y 6 45 __a__ 15 Find the value of a and b. Find the constant
Ivan

Question:

The quantities x and y are in proportion

x      y

4      6

30   45

8      b

a      15

(a) Find the values of a and b.

(b) Find the constant of variation. Is it direct variation or inverse variation?

Answer:

a = 10 and b = 12

Constant of variation is 1.5

Direct Variation

Step-by-step explanation:

Solving (a): The values of a and b

First, we determine the equation that relates x and y

From the table, we have:

(x_1,y_1) = (4,6)

(x_2,y_2) = (30,45)

The slope (m) is:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{45 - 6}{30 -4}

m = \frac{39}{26}

m = 1.5

The equation is then calculated using:

y - y_1 = m(x - x_1)

This gives:

y - 6 = 1.5(x - 4)

y - 6 = 1.5x - 6

y = 1.5x

Solving for the value of b

From the table: x = 8, y = b

Substitute these values in y = 1.5x

b = 1.5 * 8

b = 12

Solving for the value of a

From the table: x = a, y = 15

Substitute these values in y = 1.5x

15 = 1.5 * a

Solve for a

a = \frac{15}{1.5}

a = 10

Solving (b): The constant of variation.

This has been solved in (a) above as:

m = 1.5

Direct or Inverse?

From the given table, we notice that y increases as x increases and y decreases as x decreases.

<em>This shows direct variation</em>

3 0
3 years ago
Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $
nlexa [21]

Answer:

<em>$4.84</em>

<em></em>

Step-by-step explanation:

Given that

For delivery within 1\frac{1}2 mi, charges = $1.25

For delivery within 1\frac{1}2 mi - 1\frac{3}4 mi, charges = $1.70

For delivery within 1\frac{3}4 mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2\frac{1}4 mi, charges = $2.60

For delivery within 2\frac{1}4 mi - 2\frac{1}2 mi, charges = $3.05

For delivery within 2\frac{1}2 mi - 2\frac{3}4 mi, charges = $3.50

For delivery within 2\frac{3}4 mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3\frac{1}4 mi, charges = $4.40

So, every 0.25 mi or \frac{1}4 mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of 3\frac{1}8 miles lies within the range 3 mi - 3\frac{1}4 mi.

So actual charges after increase of 10%

\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}

6 0
4 years ago
Other questions:
  • Could someone please check my work? We're working on linear regression.
    12·2 answers
  • 9x plus 7 equals 3x plus 8
    10·2 answers
  • The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbul
    8·1 answer
  • Each student is on 1 team. Race Details The field is 40 feet wide. • Each runner gets 1 lane. •Mrs. Achilles has 7 trophies. Use
    15·1 answer
  • A circle has a diameter of 4 meters.
    12·1 answer
  • Which of the following are solutions to the equation below?
    6·1 answer
  • Choose the correct operation and power of ten that would be used to convert 8 centiliters to liters.
    12·2 answers
  • PLSSSSSSSSS WILL GIVE 3 FREE BRAINLIEST
    9·2 answers
  • In a game of tug of war, your team changes -2 1/2 feet in position every 10 seconds. What is your change in position after 40 se
    5·1 answer
  • What transformation of the parent function f(x) is made to get 4f(x+2)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!