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ipn [44]
3 years ago
14

2x + 7y = - 10 2x + 2y = 20

Mathematics
2 answers:
Bess [88]3 years ago
5 0

Step-by-step explanation:

for the second one slope is -1 when the y intercept is (0,10)

vredina [299]3 years ago
5 0

Answer:

x=16, y= -6

Step-by-step explanation:

(2x+2y) - (2x+7y)=20-(-10)

2x+2y-2x-7y=30

-5y= 30

y=30/-5

y= -6

2x+2*-6=20

2x-12=20

2x=20+12

2x=32

x=32/2

x=16

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Answer:

C , 30 N

Step-by-step explanation:

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2 years ago
James drove up 6,400 feet to a camp area on a mountain to meet his friends. They walked a trail that led to the mountain summit
gregori [183]
The answer is 4900 because you add the 6,400+1,800=8,200 then you subtract the 8,200-3,300= 4,900
6 0
3 years ago
Read 2 more answers
Sue has one spin of the circular spinner shown below.
VARVARA [1.3K]

Answer:

Colour | Probability

YELLOW | 0.20

WHITE | 0.18

GREEN | 0.12

RED | 0.18

BLUE | 0.32

Step-by-step explanation:

The complete question is presented on the attached image to this solution.

From the image of the spinner and the given probabilities, the combination of YELLOW, WHITE and GREEN make up exactly half of the total space on the spinner.

0.2 + 0.18 + 0.12 = 0.50

Then, BLUE and RED make up the other half of the spinner.

Probability of landing on either BLUE or RED = 1 - 0.50 = 0.50

Let P(BLUE) = x and P(RED) = y

x + y = 0.50

Two of the lines shown on the diagram are diameters of the circle.

The first line that is a diameter splits the circle into two parts; (WHITE, YELLOW, GREEN) and (RED, BLUE).

From here, we have established that x + y = 0.50

The other line that is a diameter splits The circle into two part; (WHITE, BLUE) and (YELLOW, GREEN, RED)

From this other information,

P(WHITE) + P(BLUE) = 0.50

0.18 + x = 0.50

x = 0.50 - 0.18 = 0.32

P(YELLOW) + P(GREEN) + P(RED) = 0.50

0.20 + 0.12 + y = 0.50

y = 0.50 - 0.32 = 0.18

To check, x + y = 0.32 + 0.18 = 0.50 (Correct!!)

Hope this Helps!!!

3 0
3 years ago
In a line of students. Jenna is number 8. The teacher says that a rule for a number patter is add 4. The first student in line s
tatyana61 [14]
She says 35 because number 7 in line says 31, so 31+4=35...

I hope this helped you!
7 0
3 years ago
Solve equation by using the quadratic formula.
Sati [7]

Answer: 1:  x=3, x=1

2:  x= -5

3:  There are 2 real solutions.

4:  There are 2 real solutions.

5:  There are no real solutions.

6.  There is 1 real solution.

7.  

8.  x= -6, x = -2

9.  x = -1/6, x=1

10.  

Explanation:

1.  The quadratic formula is

Substituting our known information we have:

2.  Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:

3.  The discriminant is b²-4ac.  For this problem, that is 20²-4(-4)(25)=400--400=800.  Since this is greater than 0, there are 2 real solutions.

4.  The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169.  This is greater than 0, so there are 2 real solutions.

5.  The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223.  Since this is less than 0, there are no real solutions.

6.  If the discriminant of a quadratic is 0, then by definition there is 1 real solution.

7.  Rewriting the quadratic we have 3x²-4x-2=0.  Using the quadratic formula we have:

8.  Factoring this trinomial we want factors of 12 that sum to 8.  6*2 = 12 and 6+2=8, so those are our factors.  This gives us:

(x+6)(x+2)=0

Using the zero product property we know that either x+6=0 or x+2=0.  Solving these equations we get x= -6 or x= -2.

9.  Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5.  (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:

6x²-6x+1x-1=0

We group together the first two and the last two terms:

(6x²-6x)+(1x-1)=0

Factor the GCF out of each group.  In the first group, that is 6x:

6x(x-1)+(1x-1)=0

In the second group, the GCF is 1:

6x(x-1)+1(x-1)=0

Both terms have a factor of (x-1), so we can factor it out:

(x-1)(6x+1)=0

Using the zero product property, we know either x-1=0 or 6x+1=0.  Solving these equations we get x=1 or x=-1/6.

10.  Substituting our information into the quadratic formula we get:

Step-by-step explanation:

5 0
2 years ago
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