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valentinak56 [21]
3 years ago
9

Determine the intercepts of the line. y + 5 = 2(x + 1) y-intercept: x-intercept:

Mathematics
1 answer:
Airida [17]3 years ago
7 0

Answer:

y

+

5

=

2

(

x

+

1

)

 

Find the x-intercepts.

x-intercept(s):  

(

3

2

,

0

)

Find the y-intercepts.

y-intercept(s):  

(

0

,

−

3

)

List the intersections.

x-intercept(s):  

(

3

2

,

0

)

y-intercept(s):  

(

0

,

−

3

)

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Slope : - 9/7 point : ( -7,4 )
dolphi86 [110]
To form an equation with the given information, we use the formula :

y = mx + b, m being the slope and b being the y-intercept.

Since it is given that the slope is -9/7, we substitute m with -9/7.

y = -9/7x + b

To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4

4 = -9/7 (-7) + b
4  = 9 + b
b = 4 - 9
b = -5

Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :

y = - 9/7x - 5

To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0

-----------------------------------------------------------
Answer : 7y + 9x + 5 = 0
-----------------------------------------------------------
7 0
3 years ago
4x+3x^2-8x+5x^2 <br> I need help quick !!!
suter [353]

Answer:

8x^2 - 4x

Step-by-step explanation:

add like terms

7 0
3 years ago
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What is the greatest common factor between 72 and 54?
Elanso [62]
The greatest common factor between 72 and 54 is 18.
3 0
3 years ago
You have $60 and your sister has 120 you are saving $14 per week and your sister is saving $10 per week how long will it be befo
hodyreva [135]

Answer:

15 weeks and you both will have $270

Explanation:

60+14x=120+10x

4x=60

x=15 weeks

amount= 60+14*15= $270

5 0
2 years ago
The diagram below shows part of the graph of the quadratic function f(x)=a(x-h)(x-k) with the condition h&lt;k. Point P is the m
Valentin [98]

Answer:

see explanation

Step-by-step explanation:

(a)

The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)

f(x) = a(x - 1)(x - 5)

To find a substitute (0, 15), the coordinates of the y- intercept into the equation.

15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)

a = 3

Thus h = 1, k = 5, a = 3 and

f(x) = 3(x - 1)(x - 5)

(b)

The axis of symmetry is a vertical line with equation x = c ( c is a constant )

The axis of symmetry passes through the midpoint of the zeros

x = \frac{1+5}{2} = \frac{6}{2} = 3

Equation of axis of symmetry is x = 3

(c)

The axis of symmetry passes through P, with x- coordinate x = 3

Substitute x = 3 into the function for corresponding value of y

f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12

Coordinates of  P = (3, - 12 )

6 0
3 years ago
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