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3 years ago

4x+y=10 complete the missing value in the solution to the equation. ( __, -6)

Mathematics

1 answer:

allochka39001 [22]3 years ago

6 0

Answer: 4

Step-by-step explanation:

4x+y=10

4x+(-6)=10

4x-6=10

4x=10+6

4x=16

x=16/4

x=4

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The initial price of buzz stock is $20 per share. After 20 days the stock price is $30 per share and after 40 days the price is

Temka [501]

Answer:

$s(t) = -\dfrac{t^2}{160}+\dfrac{5}{8}t+20$

Step-by-step explanation:

given,

initial price of buzz stock = $ 20 per share

after 20 days

stock price = $30 per share

after 40 days

the price = $35 per share

let say it is modeled by

y = ax² + b x + c

x = number of days

y = stock price

x = 0 y = 20

20 = a x 0 + b x 0 + c

c = 20

x = 20 y = 30

30 = 20² a + 20 b + 20

400 a + 20 b = 10...........(1)

x = 40 y = 35

35 = 40² a + 40 b + 20

1600 a + 40 b = 15...........(2)

solving equation (1)and (2)

a = - 1/160

b = 5/8

$y = -\dfrac{x^2}{160}+\dfrac{5}{8}x+20$

$s(t) = -\dfrac{t^2}{160}+\dfrac{5}{8}t+20$

hence , the above equation is multipart function

5 0

3 years ago

An elevator in an old building can hold four people at a time. The elevator also has an overall weight limit of 800 pounds. The

Natalija [7]

Answer:(D and E)

Step-by-step explanation:I know this because I got it right in usa test prep

3 0

3 years ago

Read 2 more answers

Find $a+b+c$ if the graph of the equation $y=ax^2+bx+c$ is a parabola with vertex $(5,3)$, vertical axis of symmetry, and contai

bogdanovich [222]

Answer:

$a+b+c=-\frac{7}{3}$

Step-by-step explanation:

Given:

The equation of the parabola with vertical axis of symmetry is given as:

$y=ax^2+bx+c$

Vertex of the parabola is, $(h,k)=(5,3)$

Point on a parabola is (2,0).

The $x$ co-ordinate of the vertex is given as:

$h=-\frac{b}{2a}\\5=-\frac{b}{2a}\\5\times 2a=-b\\10a=-b\\b=-10a----1$

Now, plug in the point (2,0) in the parabolic equation. This gives,

$0=a(2)^2+b(2)+c\\0=4a+2(-10a)+c\\0=4a-20a+c\\c=20a-4a=16a------ 2$

Now, as vertex lies on the parabola, plug in (5,3) in the parabolic equation. This gives,

$3=a(5)^2+b(5)+c\\3=25a+5b+c\\\textrm{But, b= -10a, c= 16a}\\3=25a+5(-10a)+16a\\3=25a-50a+16a\\3=-9a\\a=-\frac{3}{9}=-\frac{1}{3}----3$

So,

$b=-10a=-10\times -\frac{1}{3}=\frac{10}{3}\\c=16a=16\times -\frac{1}{3}=-\frac{16}{3}$

Therefore, the sum of $a+b+c$ is:

$=-\frac{1}{3}+\frac{10}{3}-\frac{16}{3}\\=\frac{-1+10-16}{3}\\=-\frac{7}{3}$

6 0

3 years ago

5. What might be the dimensions of a<br> cylindrical container that holds 750 mL<br> of juice?

solmaris [256]

Answer:

radius of 10.9254843 and height of 10.9254843

Step-by-step explanation:

The equation for the volume of a cylinder is V = 2 pi r h

If V (volume) = 750, find for r and h

(I'm just going to make the radius and height the same thing)

750 = 2 pi r r

375 = pi r^2

119.366207 = r^2

10.9254843 = r

8 0

3 years ago

In the cycle-plane, what is the y-intercept of the graph of the equation y=6 (x-0.5) (x+3)

lilavasa [31]

The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

<h3>What is a function?</h3>

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

7 0

2 years ago