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anastassius [24]
3 years ago
7

Solve by substitution. X = y + 3 3x + y = 25

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0
1.distribute
3y+9+y=25
2. combine like terms
4y+9=25
3. subtract 9 from both sides
4y=16
4. divide
Solution: y=4
and for X it would be
X= (4) +3
X=7
so the Final solution is (7,4)
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PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba
kupik [55]

Answer:

Slope of the function is =3.75,Y-intercept =20.

The function is y=3.75(x)+20 with initial value=20,Jordan puts \$3.75 each week andthe amount saved by Jordan after 52 week =215\$.

Step-by-step explanation:

To understand the slope and y-intercept lets assign x as number of weeks and  y as the money saved by Jordan.

Jordan is already having a sum of \$20 inside the money bank so in 0 week the amount is \$20 can be written as (x,y) =(0,20) in coordinate form.

SImilarly

We have (x,y) =(0,20)and (x_1,y_1) =(25,113.75)

Part A:

The function is y=m(x)+b

From point-slope form,we have slope (m)

and m=\frac{y_1-y}{x_1-x},plugging the values of the points.

m=\frac{113.75-20}{25-0}=3.75

Y-intercept of this function is the constant term or the money of  \$20 that is already inside the money bank.

We can also calculate y-intercept by arranging the function as b=y-m(x) choosing any (x_1,y_1) = (25,113.75) coordinate and here b is the y-intercept.

The result will be same.

Part B:

The equation <u>y=3.75(x)</u> can represent the function described.

And the initial value is the <u>y-intercept =\$20</u>

Jordan puts<u> 3.75 </u>in his bank each week.

After 52 week the amount saved by Jordan ,here x=52,as the x-variable is the number of weeks.

Plugging the value of x=52 in  y=m(x)+b where m=3.75 so the equation becomes  y=3.75(x)+20

y=3.75(x)+20 =3.75(52)+20=\$215

So basically the function is y=3.75(x)+20 and the amount saved by Jordan after 52 week =215\$.

6 0
3 years ago
Rewrite using positive exponents 
Oxana [17]

Answer:

Your selection is appropriate

Step-by-step explanation:

A negative exponent in the numerator is equivalent to a positive exponent in the denominator, and vice versa.

... a⁻² = 1/a²

____

2⁴ multiplies the variable expression no matter which way it is written.

4 0
3 years ago
The lifetime probability of backache is 1/10. The lifetime probability of Parkinson's is 1/12. One not related to the other. Wha
GalinKa [24]

1/10 x 1/12 = 1/120 your final answer is this!

8 0
3 years ago
During second period, Janet completed a grammar worksheet.
Dmitry_Shevchenko [17]

Answer: 50%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Pls help me!!!
Olenka [21]

Answer:

Step-by-step explanation:

A box plot is the diagrammatic representation of the five number summary. It includes 5 items:

The minimum.

Q1 = the first quartile or the 25% mark.

The median.

Q3 = the third quartile or the 75% mark.

The maximum.

Rearranging the data in ascending order, it becomes

169, 163, 153, 166, 149, 148, 146, 145, 152, 163

145, 146, 148, 149, 152, 153, 163, 163, 166, 169

Minimum = 145

Maximum = 169

Median = (152 + 153)/2 = 152.5

The median divides the data into two equal halves. The middle of the lower halve is Q1 while the middle of the upper halve is Q3

Q1 = 148

Q3 = 163

The diagram of the box plot is shown in the attached photo

8 0
3 years ago
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