What is the solution of the linear -quadratic system of equations?<br>{y=x^2+5x-3<br>{y-x=2

FAST PLEASE HELP MEEE: At a certain high school, 35 students play only stringed instruments, 10 students play only brass instrum

lys-0071 [83]

Answer:

35=10+5+5+p

35=20+p

35-20=p

p=15

6 0

3 years ago

Deanna’s car can drive 288 miles on one 12-gallon tank of gasoline. Which equation represents m, the number of miles she can dri

timurjin [86]

Answer:

12g=m

12 is the mpg

g represents one gallon being used

m represents the total miles travelled after them being multiplied together

4 0

3 years ago

Read 2 more answers

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y=-4x-7. Primrose Avenue can be represented

Lilit [14]

The complete question is;

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y = -4x - 7. Primrose Avenue can be represented by the equation 8x + 2y = 17. Are these two parallel?

A) They are parallel because their slopes are the same

B) They are not parallel because their slopes are the same

C) They are parallel because their slopes are opposite reciprocals

D) They are not parallel because their slopes are opposite reciprocals

Answer:

Option D: They are not parallel because their slopes are opposite reciprocals

Step-by-step explanation:

Bumby avenue is represented by the equation y = -4x - 7 while Primrose Avenue can be represented by the equation 8x + 2y = 17.

Now, the general formula for slope intercept is;. y = mx + c.

Where m is the slope and c is the y - intercept.

This means the slope of bamby is - 4 while that of Primrose is 8.

The slopes are not the same and so options A and B are not correct.

Now, -4 is an opposite reciprocal of 8/-2.

But an opposite reciprocal means that both lines on the graph are perpendicular to each other.

Thus, option C is wrong because they are not parallel.

So correct option is D.

7 0

3 years ago

Given the Arithmetic series A1+A2+A3+A4 7 + 11 + 15 + 19 + . . . + 91 What is the value of sum?

aivan3 [116]

Answer:

The value of the sum is 1078

Step-by-step explanation:

* Lets revise how to find the sum of the arithmetic series

- In the arithmetic series there is a constant difference between each

two consecutive terms

- Ex:

# 4 , 9 , 14 , 19 , 24 , .......... (+ 5)

# 25 , 15 , 5 , -5 , -15 , .......... (-10)

- So if the first term is a and the constant difference between each two

consecutive terms is d, then

U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , ..........

- Then the nth term is Un = a + (n - 1)d

- The sum of n terms is Sn = n/2[a + L] , where L is the last term in

the series

* Lets solve the problem

∵ The arithmetic series is 7 + 11 + 15 + 19 + ......................... + 91

∴ The first term (a) is 7

∴ The last term is (L) 91

- Lets find the constant difference

∵ 11 - 7 = 4 and 15 - 11 = 4

∴ The constant difference (d) is 4

- Lets find the sum of the series from 7 to 91

∵ Sn = n/2[a + L]

∵ a = 7 and L = 91

∴ Sn = n/2[7 + 91]

- We need to know how many terms in the series

∵ L is the last term and equals 91 lets find its position in the series

∵ Un = a + (n - 1)d

∵ a = 7 , d = 4 and Un = 91

∴ 91 = 7 + (n - 1)(4) ⇒ subtract 7 from both sides

∴ 84 = (n - 1)(4) ⇒ divide both sides by 4

∴ 21 = n - 1 ⇒ add 1 to both sides

∴ n = 22

∴ The number of the terms in the series is 22

- Lets find the sum of the 22 terms (S22)

∴ S22 = 22/2[7 + 91]

∴S22 = 11[98] = 1078

* The value of the sum is 1078

4 0

3 years ago

Ashley deposits $1000 into an account that earns 4% interest compounded 2 times per year. how much money will Ashley have in her

loris [4]

The equation for compound interest is $A=P(1+\frac{r}{n})^{nt}$ , where:
P is the original deposit (or "principal")
r is the rate of the interest (in decimal form)
n is the number of times per year that the interest is compounded
t is the time passed in years

Plugging in your values, we see that the equation becomes $A=1000(1+\frac{.04}{2})^{(2)(5)}=1000(1.02)^{10}$

which equals, to the nearest cent, $1218.99, which is answer C.

3 0

4 years ago

What is the solution of the linear -quadratic system of equations?{y=x^2+5x-3{y-x=2​

What is the solution of the linear -quadratic system of equations?{y=x^2+5x-3{y-x=2