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
Mamont248 [21]
2 years ago
9

-7 2/3 + (-5 1/2) + 8 3/4

Mathematics
1 answer:
kolbaska11 [484]2 years ago
3 0
The answer is -4 5/12 negative four and five twelfths
You might be interested in
On a sunny day a telephone pole cast a shadow that is 10 feet long at the same time 36 inch yardstick cast a shadow that is 15 i
andrew-mc [135]

Answer:

The height of the telephone pole is 24 feet.

Step-by-step explanation:

The same rays are falling on the pole and yardstick, so at the same time of day both pole and yardstick have same angle of elevation from the ground.

<em>The height of yard stick is 36 inch and shadow is 15 inch long.</em>

<em>Let the height of pole be "x" , with shadow 10 feet long.</em>

1 feet  = 12 inches

The 2 triangles are similar. Thus,

<em>\frac{x}{36} = \frac{(10)(12)}{15}</em>

<em>x = 288 inches = \frac{288}{12} = 24 feet</em>

Thus, the height of telephone pole is 24 feet.

3 0
3 years ago
Which polynomial function has x intercepts -1,0, and 2 and passes through the point (1,-6)?
nikitadnepr [17]

Answer:

f(x) = 3x^3 - 3x^2 - 6x

Step-by-step explanation:

Which polynomial function has x intercepts -1,0, and 2 and passes through the point (1,-6)?

There are 3 distinct and real roots given in the question, which means that the  function must be a third degree polynomial. The roots are -1, 0, and 2. This means that f(x) = 0 at these points. The general form of the cubic equation is given by:

f(x) = ax^3 + bx^2 + cx + d; where a, b, c, and d are arbitrary constants.

From the given data:

f(-1)=0 implies a*(-1)^3 + b*(-1)^2 + c(-1) + d = -a + b - c + d = 0. (Equation 1).

f(0)=0 implies a*(0)^3 + b*(0)^2 + c(0) + d = 0a + 0b + 0c + d = 0. (Equation 2).

f(2)=0 implies a*(2)^3 + b*(2)^2 + c(2) + d = 8a + 4b + 2c + d = 0. (Equation 3).

f(1)=0 implies a*(1)^3 + b*(1)^2 + c(1) + d = a + b + c + d = -6. (Equation 4).

Equation 2 shows that d = 0. So rest of the equations become:

-a + b - c = 0;

8a + 4b + 2c = 0;  (Divide 2 on both sides of the equation to simplify).

a + b + c = -6

This system of equation can be solved using the Gaussian Elimination Method. Converting the system into the augmented matrix form:

• 1 1 1 | -6  

• -1 1 -1 | 0

• 4 2 1 | 0

Adding row 1 into row 3:

• 1 1 1 | -6  

• 0 2 0 | -6

• 4 2 1 | 0

Dividing row 2 with 2 and multiplying row 1 with -4 and add it into row 3:

• 1 1        1 | -6

• 0 1       0 | -3

• 0 -2 -3 | 24

Multiplying row 2 with 2 and add it into row 3:

• 1 1       1 | -6

• 0 1       0 | -3

• 0 0 -3 | 18

It can be seen that when this updated augmented matrix is converted into a system, it comes out to be:

• a + b + c = -6

• b  = -3

• -3c = 18 (This implies that c = -6.)

Put c = -6 and b = -3 in equation 1:

• a + (-3) + (-6) = -6

• a = -6 + 3 + 6

• a = 3.

So f(x) = 3x^3 - 3x^2 - 6x (All conditions are being satisfied)!!!

5 0
3 years ago
5+3w+3-w combine like terms to simplify
andreev551 [17]

Answer:

8 + 2w

Step-by-step explanation:

⇒ Change all signs to addition (subtraction is the same as adding a negative):

5 + 3w + 3 + -w

⇒ Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:

5 + 3 + 3w + -w

⇒ Simplify:

8 + 2w

<u>Answer:</u> 8 + 2w

<em />

<em>Hope this helps!</em> :)

8 0
3 years ago
Read 2 more answers
How can you solve y=-2x+20 by substitution?
levacccp [35]

Answer:

subtract from both sides and then multiplying both sides

Step-by-step explanation:

how can you solve y = -2x + 25 by subtraction

8 0
3 years ago
What is an estimate of 9.7 times 0.4
andrezito [222]
When I did the math I came up as 3.88 but if you have to round up it wound be 4 or 3.9
4 0
3 years ago
Read 2 more answers
Other questions:
  • 3 squared times 5 squared
    8·1 answer
  • In △CDE , CD=14 , DE=9 , and m∠E=71∘ .
    5·2 answers
  • Sally is given the information ƒ(1)= 0, ƒ(-2)=0 and ƒ(3)=0. which are the factors of the polynomial?
    6·1 answer
  • The sum of twi intergers is 54 and thier difference is 10. Find the integers
    14·2 answers
  • 5. Decide whether each statement is true or false. (1 point each)
    6·1 answer
  • Solve for X. (nearest WHOLE degree)
    14·1 answer
  • Complete this item Simplify square root 32/5​
    10·2 answers
  • Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cy
    15·1 answer
  • What transformation is shown below??
    8·2 answers
  • Find the percent of change:<br> From 64 feet to 48 feet
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!