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grin007 [14]
3 years ago
11

write the equation of the line, in slope- intercept form, that passes through (0,4) and has a slope of -1/2

Mathematics
1 answer:
Tju [1.3M]3 years ago
4 0
Y=-1/2x+4 since the slope is -1/2 and the y-int is 4.
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F(x)=4x-8 and g(x)=5x+6, find (f+g)(x)
ASHA 777 [7]

Answer:

9x-2

Step-by-step explanation:

Since you are adding the two functions, you should first start adding like terms. 4x + 5x is 9x. -8 + 6 is -2. Thus the value of (f+g)(x) is 9x-2.

3 0
4 years ago
The sets F and H are given below.
Vinil7 [7]

Answer:

  F ∪ H = {c, d, e, f, g, h}

  F ∩ H = { }

Step-by-step explanation:

The union is the list of elements that are in either of the two sets.

  F ∪ H = {c, d, e, f, g, h}

The intersection is the list of only those elements that appear in both sets. (There are none.)

  F ∩ H = { } . . . . the empty set

4 0
4 years ago
7) Solve the following system of equations below algebraically using substitution.
Pani-rosa [81]

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

3.25 + 4.75 =8

8=8.................... proved

8 0
4 years ago
fresh+cranberries+have+99%+of+water.+partially+dried+cranberries+have+98%+of+water.+jack+picked+100+pounds+of+cranberries.+how+m
Mnenie [13.5K]

Answer:

  50 lb

Step-by-step explanation:

Before drying, the cranberries have ...

  (100% -99%)(100 lb) = 1 lb

of "meat."

After drying, that represents (100% -98%) = 2% of the total weight. Then the total weight is ...

  1 lb = 2%·x

  x = (1 lb)/0.02 = 50 lb

The dried cranberries will weigh 50 lb.

8 0
2 years ago
Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
Advocard [28]
1. find equation

general solutions are:
y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b

for P(0,-11)

-11 = 0a + 0b +c ⇒c = -11

for p(1,-13)
-13 = 1a + 1b -11 \\ a+b = -2

and

0 = 2a + b \\ b = -2a

solve for a and b:
a - 2a = -2 \\ a = 2 \\ b = -4

the total equation is now:

y = 2 x^{2} -4x -11

To find the x-intercept set y=0 and solve for x

0 = 2 x^{2} -4x-11
4 0
3 years ago
Read 2 more answers
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