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
REY [17]
2 years ago
9

100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE SHOW STEPS TO ALL PARTS

Mathematics
2 answers:
goldfiish [28.3K]2 years ago
8 0

Answer:

Step-by-step explanation:

<u>Part A: the x-intercepts are -3/2 and 5/2 </u>

  • 4x^{2} - 7x - 15 -----> (2x + 3) (2x - 5)

2x + 3 = 0 --------> 2x = -3 ----------> x = \frac{-3}{2}

2x - 5 = 0 ---------> 2x = 5 -----------> x = \frac{5}{2}

<u>Part B: the parabola is a minimum, the vertex is (7/8,-289/16) </u>

f(x)=ax^2+bx+c

if a>0, then the parabola opens up and the vertex is a minimum

a<0 then the parabola opens down and the vertex is a max

  • a = 4, it is a minimum

the x value of  the vertex in f(x)=ax^2+bx+c= is -b/(2a)

the y value of the vertex is f(-b/(2a))  

f(x) = 4x^{2} - 7x - 15

a = 4

b = -7

-b/2a=-(7)/(2*4)=7/8

f(7/8) = 4(7/8)^{2} - 7(7/8) - 15

f(7/8) = 49/16 - 49/8 - 15

f(7/8) = -289/16

  • the vertex is (7/8,-289/16)

<u>Part C: </u>

  1. the vertex is minimum and the graph goes through the x intercepts
  2. plug in x values to get the y value (EX: choose 0 for x, and you'll get -15 for y, so you would plot the point at (0, -15). you could plug in 1 for x, and get -18 for y, plotting the point (1, -18) )

ANTONII [103]2 years ago
4 0

Answer: I can Confirm that the guy above me is correct!!

Step-by-step explanation:

You might be interested in
34. Which is the rule for the linear<br> function graphed below?
Ivahew [28]

Answer:

We can note that this part of the graph is a linear function. This means that is has a general form: y = mx + c where m is the slop and c is the y-intercept (value of y at x=0). For the slope, we will use the points (0,2) and (3,5) to calculate it as follows: m = (y2-y1)/(x2-x1) = (5-2)/(3-0) = 1 For the y-intercept, we can note that at x=0, the value of y is 2. This means that the equation of the first part of the graph is: y = x + 2

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/703068-which-rules-define-the-function-graphed-below.html

8 0
3 years ago
Which two operations are needed to write the expression that represents “five less than the quotient of a number and three”?
harina [27]
The answer would be multiplication and subtraction
8 0
3 years ago
Find x. Round your answer to the nearest tenth of a degree . Please help I will mark brainliest
Oksana_A [137]

Using trigonometric ratio, the value of x is 63.6°

<h3>Trigonometric Ratio</h3>

This is the ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Trigonometric ratio are often coined as SOHCAHTOA

In the given triangle, we need to find the value of x using trigonomtric ratio.

Since we have the value of adjacent and hypothenuse, we definitely need to use cosine

cosθ = adjacent / hypothenuse

adjacent = 4

hypothenuse = 9

Substituting the values into the equation;

cos θ = 4 / 9

cos θ = 0.444

θ = cos⁻¹ 0.4444

θ = 63.6°

Learn more on trigonometric ratio here;

brainly.com/question/24349828

#SPJ1

7 0
1 year ago
Develop a probability model for the spinner shown.<br> Will give brainliest!
krok68 [10]

Answer:

Suppose we roll a six-sided number cube. Rolling a number cube is an example of an experiment, or an activity with an observable result. The numbers on the cube are possible results, or outcomes, of this experiment. The set of all possible outcomes of an experiment is called the sample space of the experiment. The sample space for this experiment is \displaystyle \left\{1,2,3,4,5,6\right\}{1,2,3,4,5,6}. An event is any subset of a sample space.

The likelihood of an event is known as probability. The probability of an event \displaystyle pp is a number that always satisfies \displaystyle 0\le p\le 10≤p≤1, where 0 indicates an impossible event and 1 indicates a certain event. A probability model is a mathematical description of an experiment listing all possible outcomes and their associated probabilities. For instance, if there is a 1% chance of winning a raffle and a 99% chance of losing the raffle, a probability model would look much like the table below.

Outcome Probability

Winning the raffle 1%

Losing the raffle 99%

The sum of the probabilities listed in a probability model must equal 1, or 100%.

4 0
3 years ago
What is the equation of the line graphed in the xyxyx, y-plane that passes through the point (-4,-5)(−4,−5)left parenthesis, min
goldfiish [28.3K]
The equation of the line through (-4, -5) parallel to 3x-4y=-8 can be written as
  3(x-(-4)) - 4(y-(-5)) = 0
  3x -4y - 8 = 0
  3x - 4y = 8

4 0
3 years ago
Other questions:
  • How do you solve (2x + 8 )2 =64
    13·1 answer
  • Which numbers have an absolute value of 2?
    6·1 answer
  • Choose the value for x that solves this equation. 0 = -2x + 6
    6·1 answer
  • What is 8x9-6+7(5-4x8)
    7·1 answer
  • Write the equation of a line that is perpendicular to y=-4/3x+9 and goes through (8,-5). Do not use spaces in your answer. Enter
    5·1 answer
  • Two boards are resting against each other to form an isosceles triangle with the ground as shown in the diagram. What is the hei
    11·1 answer
  • Elliot purchased 3 trick cameras and 4 fake snakes and spent a total of $40. Kaci bought 7 trick cameras and 8 fake snakes, and
    15·1 answer
  • A square room has a floor area of 25 meters. the height is 3 meters what is the area of one wall
    10·2 answers
  • Rosa's family wants to switch cell phone plans. Cloud Line Cell Service is offering a one-time discount of $25 for families that
    8·1 answer
  • How many tickets did Airon sell in 2018?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!