Write the equation of the line in point-slope form.

Answer:

Step-by-step explanation:

Let the number is x in each case.

Use the property below:

We have:

Answer:

[tex]\log_31=0[/tex]

[tex]\log_33=1[/tex]

[tex]\log_3\left(\frac{1}{9}\right)=-2[/tex]

[tex]\log_{3}81=4[/tex]

Step-by-step explanation:

[tex]\textsf{Apply log law}: \quad \log_ax=c \iff x=a^c[/tex]

Therefore:

[tex]\log_3x=0 \implies x=3^0=1[/tex]

[tex]\log_3x=1 \implies x=3^1=3[/tex]

[tex]\log_3x=-2\implies x=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}[/tex]

[tex]\log_3x=4 \implies x=3^4=81[/tex]

Additionally, the logarithm of 1 with any base is always zero:

[tex]\log_a1=0[/tex]

The logarithm of the same number as the base is always 1:

[tex]\log_aa=1[/tex]

Answer:

B) Graph of an Absolute Value Function

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input correspond with exactly one output.    

The given table in Option A) is not a function because there are two corresponding y-values for x = 3.

Option C is also not a function because the input value of x = -1 has two output (y-values): -11 and 5.

Option D is also not a function because the input value of 3 has two output values: -5 and 0.

Option B represents a function because each input value has exactly one corresponding output value.  A useful technique to use in determining whether a given graph represents a function is the Vertical Line Test.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

Attached is an edited screenshot of Option B, where it shows that each blue vertical line has its own corresponding point.  This means that the each line crosses the graph at most once. Therefore, the correct answer is Option B.

Answer:

The graph

Step-by-step explanation:

I got it right on plato

Answer:

1.26

Step-by-step explanation:

R(L)=log((1.8 ×10)=log(18)=1.26

Answer:

Step-by-step explanation:

$0.11

per ounce

1.32/12=0.11!!

Answer:   1.21

Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so

0.11 x 11=1.21 ounces            Good luck!

Answer:

Area of rectangle = L x W

Step-by-step explanation:

A = L x W

L = 18

W = 10 + 5

so,

A = 18 x (10+5)

A = 18 x 15

A = 270

Answer:

SAS

I THINK CORRECT ME IF IM WRONG

Answer: x>-5

Step-by-step explanation:

-5(x+7)<-10

Distribute the -5.

-5x-35<-10

Add 35 to both sides.

-5x<25

Divide both sides by -5.

x>-5

Answer:

x > - 5

Step-by-step explanation:

-5(x+7)< -10

-5x - 35 < - 10

- 5x < - 10 + 35

x > 25/-5

Answer:

Chau drove 13.96 miles while he was using the truck

Step-by-step explanation:

Answer:

294 miles!!!!!!

Step-by-step explanation:

Answer:

Yes it is a linear function

Step-by-step explanation:

f(x) - g(x)

2.5e - 0.04x - 1.2 + 0.2

0.16x + 5.59570457

Answer:

4

Step-by-step explanation:

-6 + x/4 = -5 --> add 6 to both sides

x/4 = 1 --> times 4 on each side

x = 4

The answer to this is 2 67.5

The number of real solutions is 0, the correct answer is A.

Let the quadratic equation given be of the form ax^2 + bx + c = 0, then

The quantity b^2 - 4ac is called its discriminant.

The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

There are two roots of a quadratic equations always(assuming existence of complex numbers). We say that the considered quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.

We are given that;

The equation -2x^2+x-28= 0

Now,

The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. The discriminant can be used to determine the number of real solutions of the equation as follows:

If the discriminant is positive, there are two distinct real solutions.

If the discriminant is zero, there is one repeated real solution.

If the discriminant is negative, there are no real solutions.

In this case, the quadratic equation is -2x^2 + x - 28 = 0. Comparing it with the standard form, we can identify that a = -2, b = 1, and c = -28. Therefore, the discriminant is:

b^2 - 4ac

= 1^2 - 4(-2)(-28)

= 1 - 224

= -223

Since, the discriminant is negative, there are no real solutions for this equation.

Learn more about discriminant of a quadratic equation here:

https://brainly.com/question/18659539

#SPJ7

Answer:

m<1=47 and m<2=29

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Part A:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

  0 ≤ m ≤ 7

__

Part B:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

__

Part C:

The average rate of change on the interval [3, 7] is given by ...

  (f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

   ≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

Answer:

y=1

Step-by-step explanation:

The line is hoizonatal so the slope would be undefined and the y intercept would be 1

Answer:

the correct answer is 37°

Step-by-step explanation:

just simple geometry haha

Answer:

37

Step-by-step explanation:

( x + 71 ) and 108 are vertically opposite angles.

Vertically opposite angles are equal.

x + 71 = 108

x = 108 - 71

x = 37

Answer:

y=4x-4

Step-by-step explanation:

You know that a line perpendicular to the equation (y= -1/4x-14) would have an opposite reciprocal slope.

The slope from the given equation is -1/4x. Take the opposite reciprocal and you get 4/1x or 4x as your slope.

Now use the point-slope formula to find your b value.

(y-y1)=m(x-x1)

m= 4

Plug in (3,8) for x and y, and solve.

(y-8)= 4(x-3)

y-8= 4x -12

y=4x-4

Answer:

B) -10x + 30

Step-by-step explanation:

You have to multiply -10*x and -10*-3. -10*x equals -10x and -10*-3 is +30.

Answer:

[tex]\sf -10x+30[/tex]

Step-by-step explanation:

[tex]\sf -10(x - 3)\\-10x-\left(-10\right)\times \:3\\-10x+30[/tex]

7+66 is 73,so that means 73 x 2

73 x 2 is 146.

So it is 146

Hope you have a great day.

Good luck

Answer:

146x

Step-by-step explanation:

hope it helps

mark me brainliest

i work on this on last friday

Answer:

(0,-2)

(2,-1)

(4,0)

Step-by-step explanation:

The points are the above ones.

x intercept: (4, 0)

y intercept: (0, -2)

Answer:

.03 or 3%.

Step-by-step explanation:

Important:

I = interest

P = principal (investment)

R = simple interest rate

T = years

Formula: I = PRT

Given:

I = $240

P = 2000

T = 4 years

R = ?

Plug into formula:

240 = 2000(R)4

Multiply right side 2000*4

240 = 8000R

Divide both sides by 8000.

R = 240/8000

R = .03

The simple annual interest rate was .03 or 3%.

Therefore it .03 or 3%

Answer:

Triangle ABC is right angled at A.

[tex]m\angle B=(5x+7)^∠B=(5x+7)∘[/tex]

[tex]m\angleC=(4x+29)^∠C=(4x+29) [/tex]

The degree measure of each angle in the triangle.

According to the given information,

[tex]m\angleA=90^\circm∠A=90[/tex]

[tex]m\angleB=(5x+7)^\circm∠B=(5x+7) [/tex]

[tex]m\angleC=(4x+29)^\circm∠C=(4x+29) ∘[/tex]

Now,

[tex]m\angleA+m\angleB+m\angleC=180^\circm∠A+m∠B+m∠C=180 ∘[/tex]

(Angle sum property)

[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ90∘+(5x+7)∘+(4x+29) ∘ =180[/tex]∘

[tex](9x+126)^\circ=180^\circ(9x+126)∘ =180∘[/tex]

9x+126=1809x+126=180

9x=180-1269x=180−126

9x=549x=54

Divide both sides by 9.

[tex] \sf{x=\dfrac{54}{9}x=954}[/tex]

x=6x=6

Now,

[tex]m\angle A=90^\circm∠A=90

∘[/tex]

[tex]m\angleB=(5(6)+7)^\circm∠B=(5(6)+7) [/tex]

∘

[tex]m\angle B=37^\circm∠B=37[/tex]

∘

[tex]m\angleC=(4(6)+29)^\circm∠C=(4(6)+29)[/tex]

∘

[tex]m\angle C=53^\circum \: ∠C=53[/tex]

The measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.

Answer:

Step-by-step explanation:

Assumed the given is:

We need to find the angle measures in degrees.

We know the sum of interior angles is 180:

Find the angle measures:

Answer:

n=27 degrees

m=36 degrees

Step-by-step explanation:

So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.

so it is: 180-126/2 which gives you 27 degrees.

this means the n value is 27.

to find m, you have to take away 90 degrees and the n value from 180.

so it is: 180-90-27 which gives you 63 degrees.

now you must take the smaller angle from 63 degrees to find m.

so it is: 63-27 which gives you 36

therefore...

n=27 degrees

m=36 degrees

Answer:

-29

= -16 + 5(-4) + 7

=16 - 20 + 7

=-29

Answer:

3/13

Step-by-step explanation:

three socks out of the 13 are black. therefore you have a 3/13 chance of picking black.

Answer:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... Rays and lines cannot be congruent because they do not have both end points defined, and so have no definite length.