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Anna71 [15]
3 years ago
11

Use the system of equations to answer the question. 2x+3y=8 x-y=5

Mathematics
1 answer:
Digiron [165]3 years ago
7 0

Answer:

x=5+y

2(5+y)+3y=8

10+2y+3y=8

2y+3y=8-10

5y= -2

y= -2/5

x-(-2/5)=5

x+2/5=5

x=5-2/5

x=23/5

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The coach recorded the time it took 15 students to run a mile. The times are as follows: 9:23, 8:15, 9:23, 9:01, 6:45, 6:55, 7:2
r-ruslan [8.4K]

Answer:

Therefore, the four intervals are

(1)    6 - 6.59

(2)   7 - 7.59      

(3)    8 - 8.59      

(4)    9 - 9.59

The four frequencies are

(1)   4

(2)   3

(3)   1    

(4)  6

Step-by-step explanation:

From the data, we have

                     Interval                                                       Frequency

1st                 6 - 6.59                                                        4

2nd               7 - 7.59                                                        3

3rd                8 - 8.59                                                        1

4th                 9 - 9.59                                                       6

Therefore, the four intervals are

(1)    6 - 6.59

(2)   7 - 7.59      

(3)    8 - 8.59      

(4)    9 - 9.59

The four frequencies are

(1)   4

(2)   3

(3)   1    

(4)  6

5 0
4 years ago
What is the hydrogen ion concentration <br> of orange juice that has a pH of 1?
saw5 [17]

Answer:

0.1 mole per liter

Step-by-step explanation:

5 0
3 years ago
Use the point-slope formula to write an equation of the line through the points (0,3)(11,4)
butalik [34]

Points : (0,3)(11,4)

Slope formula : M= y2-y1/x2-x1


M= 4-3/11-0

M= 1/11


Equation of a line is : y= mx+b


Now get one pair of point to solve for b .


(11,4)


4= 1/11(11)+b

4= 1+b

4-1=b


3=b


Equation y=mx +b


Y= 1/11x+3



6 0
4 years ago
The directrix and vertex of a parabola are shown on the graph. What is the vertex form of the equation for the associated parabo
tresset_1 [31]

Considering the directrix and vertex given in the graph, the equation of the parabola is:

B. x = -\frac{1}{4}(y + 2)^2 - 2

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

(y - k)² = 4p(x - h).

In which the directrix is the line x = h - p.

Looking at the graph, we have that:

  • The vertex is (-2,-2), hence h = k = -2.
  • The directrix is x = -1, hence -1 = -2 - p -> p = -1.

Thus the equation is:

(y + 2)² = -4(x + 2).

Writing x as a function of y:

B. x = -\frac{1}{4}(y + 2)^2 - 2

More can be learned about the equation of a parabola at brainly.com/question/17987697

#SPJ1

8 0
2 years ago
Simplify the expression: 2x + 1 + 7x<br> O 10<br> O 10x<br> O 9x + 1<br> O 9 + 1x
katrin2010 [14]

Answer:

9x+1

Step-by-step explanation:

2x+1+7x

2x+7x+1

9x+1

6 0
3 years ago
Read 2 more answers
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