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ANTONII [103]
3 years ago
9

7x² + 6x - 1 Algebra 3|factoring

Mathematics
1 answer:
GaryK [48]3 years ago
5 0

Answer:

(7 x - 1) (x + 1)

Step-by-step explanation:

Factor the following:

7 x^2 + 6 x - 1

Factor the quadratic 7 x^2 + 6 x - 1. The coefficient of x^2 is 7 and the constant term is -1. The product of 7 and -1 is -7. The factors of -7 which sum to 6 are -1 and 7. So 7 x^2 + 6 x - 1 = 7 x^2 + 7 x - x - 1 = (7 x - 1) + x (7 x - 1):

(7 x - 1) + x (7 x - 1)

Factor 7 x - 1 from (7 x - 1) + x (7 x - 1):

Answer: (7 x - 1) (x + 1)

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25 pts What is the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down?
BartSMP [9]

Answer:

B

Step-by-step explanation:

1. A reflection across the origin has a rule

(x,y)\rightarrow (-x,-y).

2. A translation 9 units to the left and 7 units down has a rule

(x,y)\rightarrow (x-9,y-7).

Then the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down is

(x,y)\rightarrow (-x-9,-y-7).

This means that the point with coordinates (x,y) has the image with coordinates (x',y')=(-x-9,-y-7).

4 0
3 years ago
Read 2 more answers
Jessica is eating a bag of sour skittles . Her friend ask her to share, and Jessica throws over an extra bag. Her friend does no
liraira [26]

Answer:

A parabola opens downward with vertex at (1,20)

Step-by-step explanation:

The function that models the height of bag of candies is

h(t) =  - 16 {t}^{2}  + 32t + 4

The graph of this function is a parabola that opens downward.

To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.

Factor -16 to get;

h(t) =  - 16( {t}^{2}  - 2t) + 4

Add and subtract the square of half the coefficient of t.

h(t) =  - 16( {t}^{2}  - 2t + 1)  + 16+ 4

Factor the perfect square trinomial:

h(t) =  - 16( {t - 1)}^{2}  + 20

The vertex is (1,20)

This means the maximum height after 1 second is 20 feet.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1000%7D%20%20%2B%20%20%5Csqrt%5B3%5D%7B8%7D%20" id="TexFormula1" title=" \
Lerok [7]

Answer:

12

Step-by-step explanation:

3√1000 = 10

because 10 • 10 • 10 = 1000

3√8 = 2

because 2 • 2 • 2 = 8

10+2 = 12

It's not plus or minus because it's a cube root rather than a square root.

5 0
3 years ago
4 4/8 + 3/4 what is the answer
Tema [17]
<span>4 4/8 + 3/4
=4 1/2 + 3/4
=4 2/4 + 3/4
= 5 1/4</span>
6 0
3 years ago
Read 2 more answers
Answer the question about the angles below.
kaheart [24]
To find angle Y, take 180 degrees (linear pair) minus 35 degrees (angle X).
180-35=145 degrees
Angle Y=145 degrees
Angle W is also 145 degrees since it’s a vertical angle to Angle Y.
To find angle N, take 90 degrees (complementary angle) minus 55 degrees (angle M).
90-55=35 degrees
Angle N=35 degrees
Hope this helped!
3 0
3 years ago
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