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
Genrish500 [490]
3 years ago
5

In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = 12 to the number of x-

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

Both functions have one x-intercept each.

Step-by-step explanation:

The first function is

f(t )=  {t}^{2}

This is a parabola with vertices at the origin and has one x-intercept at t=0.

The transformed function is

g(t) =  {(t + 3)}^{2}

The function g(t) is obtained by shifting the graph of f(t) to the left by 3 units.

This graph also has one x-intercept at x=-3.

Therefore both functions has the same number of x-intercepts

You might be interested in
Find the area of the shaded region round to the nearest tenth
Alenkinab [10]

Answer: 818.4

Step-by-step explanation:

Using the area of a sector formula, we get the area of the entire sector is (\pi)(27.8^{2})\left(\frac{150}{360} \right).

Using the formula A=\frac{1}{2} ab \sin C, we get the area of the triangle is \frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}).

So, the area of the shaded sector is (\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}

6 0
2 years ago
Calculate the distance between the points )=(-2, 4) and G = (5,-2) in the coordinate plane.
Alika [10]

Answer:

Somewhere around 6 or 9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can someone please help me?<br>Need this for today!​
Vesnalui [34]

Answer:

First one: Degree of 13, type monomial

Second one: Degree of 5, type trinomial

Third one: Degree of 8, type trinomial

Step-by-step explanation:

The degree of a polynomial is determined by the highest degree of its individual terms. To determine the degree of a term, add up the power values of the variables.

The type of the polynomial is determined by how many terms are being separated by an addition sign ( a subtraction sign is just the addition of the inverse of a number).

One term: Monomial

Two terms: Binomial

Three terms: Trinomial

Four terms and so on: Generally just called polynomials

4 0
3 years ago
Read 2 more answers
Graph the equation <br><br> y≥-4/3x-7
True [87]

Answer: See picture

Step-by-step explanation:

For this problem, we need to know how to graph the inequality. First, let's establish that we will have a solid line because the inequality is greater than or equal to. If the inequality was only greater than, then it would be a dotted line. For -4/3x-7, you would start at (0,-7) as the y-intercept. Then you would go down by 4 and go to the right by 3 units. Now, we have to do shading. Since we know that y is greater than or equal to, the shading will be on top of the line, where y is greater.

7 0
2 years ago
If the sum of its number is 80 rhen find their mean​
insens350 [35]

Answer: First number = 50, Second number = 30

Solution:

Assuming that the numbers are integers, let p denote the first number and q the second number.

Given, sum of the two numbers is 80.

∴ p+q = 80………………………………………………………………………………………………(1)

⇒ q = 80 - p ………………………………………………………….………………………………..(2)

Also given, 3 times the first number (p) is same as 5 times the second number (q).

∴ 3p = 5q ………………………………………………………………………………………………..(3)

Simultaneous solution of equations (1) and (3) in the two variables p and q will furnish the answer.

Method 1: Substitution Method

Substituting for q from (2) in (3),

3p = 5(80-p)

Or, 3p = 5x80 - 5p = 400 - 5p

Or, 8p = 400 (Transposing -5p from right to left and simplifying)

Or, 8p/8 = 400/8 (Dividing both sides by 8)

Or, 1.p = 50x8/8 (Factoring 400)

⇒ p = 50

Substituting for p = 50 in (2),

q = 80 - 50

⇒ q = 30

Method 2: Elimination Method

Rewriting, (2)→

3p - 5q = 0 ……………………………………………………………………………………………..…(4)

Now 3 x equation(1) - equation(4) →

3p + 3q -3p + 5q = 3x80 - 0

Or, 8q = 240

Dividing both sides by 8 and simplifying give

q = 30

Substituting for q=30 in (1),

p+30 = 80

Subtracting 30 from both sides,

p+30–30 = 80–30

Or, p+0 = 50

⇒p = 50

These values are in agreement with those obtained by method 1.

Hence, the first number = 50 and second number = 30 (Answer)

Result Verification:

p = 50, q= 30

∴ p+q = 50+30 = 80 in agreement with equation (1)

3p = 3x50 = 150

5q = 5x30 = 150

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Please help me out with this
    15·1 answer
  • A manufacturing company produces 250 units per day currently. The company's goal is to increase the number of units manufactured
    9·1 answer
  • How many triangles can you make from straws with the lengths 2,1,2 inches?
    8·1 answer
  • What I the slope of the equation of the line below.
    15·2 answers
  • Kim got a prize point for every four raffle tickets she sold. She sold 362 raffle tickets. How many prize points did she get?
    11·1 answer
  • Write an explicit formula for each recursive formula a(n)=a(n-1) 3.4;a(1)=7.3
    13·1 answer
  • The areas of the squares adjacent to two sides of a right triangle are shown below. What is the area of the squares adjacent to
    7·1 answer
  • What is 2 1/2 - 1 1/8
    11·1 answer
  • How much interest would 2000 earn compounded annually in two years at the rate of 1.2
    10·1 answer
  • Tuesday
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!