For questions 2 and 3, simplify each polynomial.
2. 3x^2+6-2x+5x-4x^2+9
a. -x^2+3x+15
b. 7x^2+3x+3
c. x^2-3x+15
d. -x^2+7x+15
3. 4x^2+8x-11x+6-5x^2+2
a. -x^2-3x+8
b. -x^2+3x+8
c. x^2-3x+8
d. x^2+3x+8
Please, i need help with the Lesson 7: Polynomials and properties of exponents unit test. 8th grade, i need my grade up so i can get off probation. Please someone. Who has done the test... Help me?
1.B
2.D
3.B
4.A
5.D
100% totally right for uca 2022 algebra
does anyone know the answers for the connections academy short answer questions for 8th grade math lesson 8 Init 5? i lowkey really need help
anyone? I just need help...
thank you so much @Reiny
here are the questions
17. A bag contains 10 white golf balls and 6 striped golf balls. A golfer wants to add 112 gold balls to the bag. He wants the ratio of white to striped golfballs to remain the same. How many of each should he add?
18. The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale factor
V((6,2), W(-2,4), X(-3,-2), Y(3,-5), scale factor of 2
19. Tell whether the pair of polygons is similar. Explain why or why not.
PQ - 8ft
QR - 13ft (this is for the bigger polygon)
RS - 8ft
SP - 13 ft
(then it goes to the smaller polygon which is..)
TU - 5.2 ft
UV - 2.4
VW - 5.2
WT - 2.4
PLEASE HELP
1.B
2.D
3.B
4.A
5.D
-these are the correct answers for Unit 6: Polynomials and Properties of Exponents Just toke
test! ( •̀ ω •́ )y
2. 3x^2+6-2x+5x-4x^2+9
a. -x^2+3x+15
b. 7x^2+3x+3
c. x^2-3x+15
d. -x^2+7x+15
First we simplify the polynomial by combining the like terms.
3x^2 - 4x^2 - 2x + 5x + 6 + 9 = -x^2 + 3x + 15
Therefore, the answer is (a) -x^2+3x+15.
3. 4x^2+8x-11x+6-5x^2+2
a. -x^2-3x+8
b. -x^2+3x+8
c. x^2-3x+8
d. x^2+3x+8
First we simplify the polynomial by combining the like terms.
4x^2 - 5x^2 + 8x - 11x + 6 + 2 = -x^2 - 3x + 8
Therefore, the answer is (a) -x^2-3x+8.
What are the coefficients in the polynomial 4x^2+3x-3?
4,-3,-3
4,3
4,3,3
-4,-3
The coefficients are 4, 3, and -3. Therefore, the answer is (a) 4, -3, -3.
Add or subtract
(m^2-m-4)+(m-5)
m^2-2m+9
m^2+2m-9
m^2-2m-9
m^2-9
We can simplify the given expression by combining like terms.
(m^2-m-4)+(m-5) = m^2 - m - 4 + m - 5
= m^2 - m + m - 4 - 5
= m^2 - 9
Therefore, the answer is (d) m^2-9.
(4x^2-2x-1)-(-3x^3+2)
-3x^3+4x^2-2x+1
-3x^3+4x^2-2x-3
3x^3+4x^2-2x+1
3x^3+4x^2-2x-3
We can simplify the given expression by distributing the negative sign within the brackets.
(4x^2-2x-1)-(-3x^3+2) = 4x^2 - 2x - 1 + 3x^3 - 2
= 3x^3 + 4x^2 - 2x - 3
Therefore, the answer is (d) 3x^3+4x^2-2x-3.
Suppose you earned 8t-3 dollars on Monday and 6t+5 dollars on Tuesday. What were your total earnings? Simplify your answer.
To find the total earnings, we add the earnings from Monday and Tuesday.
Total earnings = (8t-3) + (6t+5)
= 8t + 6t - 3 + 5
= 14t + 2
Therefore, the answer is 14t + 2 dollars.
f^2•f^3
When we multiply two powers with the same base, we add their exponents.
f^2 • f^3 = f^(2+3)
= f^5
Therefore, the answer is f^5.
144^14/144^2
We can simplify the expression using the quotient of powers rule, which states that when we divide powers with the same base, we subtract the exponents.
Therefore,
144^14 / 144^2 = 144^(14-2)
= 144^12
Hence, the answer is 144^12.
x^11/x^4
When dividing two powers with the same base, we subtract the exponents.
Therefore,
x^11 / x^4 = x^(11-4)
= x^7
Hence, the answer is x^7.
Which of the following expressions is true?
4^3•4^4=4^12
5^2•5^3>5^5
3^2•3^5<3^8
5^2•5^4=5^8
When we multiply two powers with the same base, we add their exponents.
So,
- 4^3•4^4 = 4^(3+4) = 4^7
- 5^2•5^3 = 5^(2+3) = 5^5
- 3^2•3^5 = 3^(2+5) = 3^7
- 5^2•5^4 = 5^(2+4) = 5^6
Therefore, the only true expression is:
5^2•5^4 = 5^6
Hence, the answer is "5^2•5^4=5^6".
I will do the 2nd one:
3. 4x^2 + 8x - 11x + 6 - 5x^2 + 2
remember , we can only add "like" terms, so
do the x^2 terms, 4x^2 - 5x^2 = -x^2
so we rule out choices c) and d), leaving a) and b)
let's look at the x terms: +8x - 11x = -3x
from the remaining a) and b), only b) has that.
Finally, check that the constants are correct, 6+2 = 8
Yup, it is b)
now do the first one in the same way