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yanalaym [24]
3 years ago
7

A positive relationship exists when both variables increase or decrease at the same time.

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0
True because of positive correlation.
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X varíes directly with y and z. X =1200 when y =20 and z=30 find x when y=10 and z=20
Naya [18.7K]

Answer:

Value of x = 400

Step-by-step explanation:

Joint variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them.

Given: x varies directly with y and  z.

i.e x \propto y and x \propto z

then we have the joint variation as;

x = k yz ......[1] where k is the constant variation.

Substitute the value of x =1200 when y =20 and z = 30 to solve for k;

1200 = k (20)(30)

Simplify:

1200 = 600k

Divide both sides by 600 we get;

k = 2

Now, substitute k =2 , y =10 and z = 20 to find x;

Using [1] we have;

x = 2 \times (10)(20) = 2 \times 200

Therefore, the value of x is, 400



7 0
3 years ago
Read 2 more answers
write the equation for an exponential function, in the forms y = a x b^x, whose graph passes through the coordinate points (1, 7
zysi [14]
Y = abˣ
(a ≠ 0, b ≠ 0)

(1, 7.5)
x = 1
y = 7.5
    ↓
7.5 = ab

(3, 16.875)
x = 3
y = 16.875
        ↓
16.875 = ab³

   7.5 = ab
     b      b
7.5/b = a

    16.875 = ab³
         b³        b³
16.875/b³ = a

     7.5/b  = 16.875/b³
7.5/b(b³) = 16.875/b³(b³)
     7.5b² = 16.875
      7.5         7.5
          b² = 2.25
      √(b²) = √(2.25)
           b = 1.5

a = 7.5/b
a = 7.5/1.5
a = 5

y = 5(1.5)ˣ
8 0
4 years ago
Read 2 more answers
What is that as a single power
Damm [24]

Answer:

(3/2)power 3 = 27/8 =3.375

7 0
4 years ago
Read 2 more answers
A cash register contains only five dollar and ten dollar bills. It contains three times as many five dollar bills as ten dollar
Finger [1]

Answer:

38

Step-by-step explanation:

Let x be the number of ten dollar

Number of five dollar=3x

Total amount of money in the cash register=$950

We have to find the number of ten dollar bill in the cash register.

According to question

5\times (3x)+10x=950

15x+10x=950

25x=950

x=\frac{950}{25}

x=38

Hence, number of  ten dollar bills  in the cash register=38

3 0
3 years ago
Find the slope of the line passing through the point.(-7,4) and (8,4)
AURORKA [14]

Answer:

<h3>The answer is zero</h3>

Step-by-step explanation:

Slope of a line is given by

m =  \frac{y2 - y1}{x2 - x1}

where m is the slope

slope of the line passing through the point.(-7,4) and (8,4) is

\frac{4 - 4}{8 + 7}  =  \frac{0}{15}  = 0

Hope this helps you

5 0
4 years ago
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