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2 years ago

Which equation represents this situation in form of y=mx+b

Mathematics

1 answer:

atroni [7]2 years ago

6 0

Answer:

y=mx+b is 32x53 divide by 10 and =8.31=b+423.1/74=mx=647.bd-5634=y add them up and is your answer.

Step-by-step explanation:

You might be interested in

Show whether or not y=x+3 is tangential to the curve y^2=x

wolverine [178]

The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.

y² = x

Take the derivative of both sides with respect to x, assuming y = y(x) :

2y dy/dx = 1

dy/dx = 1/(2y)

Solve for y when dy/dx = 1 :

1 = 1/(2y)

2y = 1

y = 1/2

When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.

This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :

x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0

has no real solution for y.

3 0

2 years ago

Solve the following linear system of equations using substitution. <br> Y=3x-5<br> Y=2x-6

Anettt [7]

3x-5=2x-6
Move 2x to the same side as 3x.
3x-2x = x
X-5=-6
add 5 to the -6.
X = 5-6
X=-1

7 0

2 years ago

Read 2 more answers

What are some of the cities where jazz first developed during the 1920s and 1930s? Why do you think these particular cities beca

Rus_ich [418]

Answer:

Although New Orleans is usually credited with being the birthplace of jazz, similar music also began happening not long after in other cities, including Chicago, Kansas City, and Saint Louis.

Step-by-step explanation:

hope it helps but it is not all the answers .

6 0

2 years ago

Water has a specific heat of 4.184 J/g°C and requires 23,000 J of heat to raise the

nasty-shy [4]

Answer:

$m=80.840 kg$

Step-by-step explanation:

Given Data,

Q=23000 J

c=4.184 J/g °c

Δt= 68 °c

m=?

By using this equation,

Q=mcΔt

$23000=m\times 4.184\times 68\\\\m=\frac{23000}{4.184\times68} \\\\\\m=80.840 kg$

3 0

2 years ago

What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!

Delicious77 [7]

ANSWER
$f(x)= \frac{1}{4} {(x - 1)}^{2}$

EXPLANATION

Since the directrix is
$y = - 1$

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

$(1,1)$

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

${(x - h)}^{2} = 4p(y - k)$
where
$(h,k)$

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
$(1, - 1)$

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
$h = \frac{1 + 1}{2} = 1$

and
$k = \frac{ - 1 + 1}{2} = 0$

The equation of the parabola now becomes,

$(x - 1) ^{2} = 4p(y - 0)$

$|p| = 1$

Thus, the distance between the vertex and the directrix.

This means that,

$p = - 1 \: or \: 1$

Since the parabola opens up, we choose
$p = 1$
Our equation now becomes,

${(x - 1)}^{2} = 4(1)(y - 0)$

This simplifies to
${(x - 1)}^{2} = 4y$

or

$y = \frac{1}{4} {(x - 1)}^{2}$

This is the same as,

$f(x)= \frac{1}{4} {(x - 1)}^{2}$

The correct answer is D .

4 0

3 years ago