do these ordered pairs satisfy a linear function? explain (1,-5),(1,0)(1,5)(1,10)

Answer:

x = -3, y = -0.512

x = -1, y = -3.2

x = 0, y = -8

x = 2, y = -50

Step-by-step explanation:

Answer:

A , E, F

Step-by-step explanation:

Three statements are true based on the graph the correct options are D, E,F

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

For option D, we can see in the graph the bus has completed 200 miles of distance between the 2nd and 3rd hour. So, there are more than 3hours remaining, and option D is correct

For option E, it is clear from the graph that after 4 hours the distance traveled by the bus is 130miles

For option F; the distance traveled in first 4 hours= total distance from home - remaining distance after 4 hours

310-130=180miles

time= 4hours

speed=distance/time

speed= 180/4= 45miles per hour

hence, D, E,F are true

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Answer: Multiply 12 and 5 (by the same number) and add them to get whatever total ml of crayon wax is specified.

Ex: Total ml divided by 17, then find how many parts are red(12ml) and white(5ml)

Step-by-step explanation:

Answer:

t=0

Step-by-step explanation:

The first thing you want to do is isolate the varible t. So you going to subrtact the 45 from both sides, which leaves you with, 5t=0. Next you are going to divide 5 from both sides, which leaves you with t=0. To make sure its right, plug it in. 45+5(0)=45. 45=45.

Answer:

slope is 18 and it represents the change in x or in your case, whatever x represents such as miles per hour or bananas eaten per minute

Step-by-step explanation:

Answer:

the distance between the two points is 10

Answer:

the answer is 6

hope it helps

Answer:

270

Step-by-step explanation:

108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.

Answer:  -5  + (10) = 5

Step-by-step explanation:

keep change flip -5 - (-10) you get -5 + (10) = 5

Answer: 24.9

Step-by-step explanation:

Answer:

15 possible combinations

Step-by-step explanation:

In order to find the total number of combinations possible, we need to multiply the total number of different colors by the total number of storage capacities that each phone can have. Using the values provided we would get the following arithmetic expression...

5 colors * 3 capacities = 15

Therefore, we can see that there are a total of 15 possible combinations with these variations.

Answer:

70

Step-by-step explanation:

20(4)-10

80-10

=70

Answer:

f(4)=70

Step-by-step explanation:

f(4)=20x-10

f(4)=20(4)-10

f(4)=80-10

f(4)=70

Answer:

[tex]S_9 = 442845[/tex]

Step-by-step explanation:

Given

[tex]Sequence: 45,135,405,1215,3645[/tex]

Required:

The sum of the first 9 terms

We'll solve this question using the explicit formula:

Because it is a geometric sequence, we first calculate the common ratio (r).

[tex]r = \frac{T_n}{T_{n-1}}[/tex]

Let n = 2;

So, we have:

[tex]r = \frac{T_2}{T_{2-1}}[/tex]

[tex]r = \frac{T_2}{T_1}[/tex]

[tex]T_2 = 135; T_1 = 45[/tex]

So, we have:

[tex]r = \frac{135}{45}[/tex]

[tex]r = 3[/tex]

Explicitly, the sum of  n terms of a geometric sequence is:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

[tex]a = T_1 = 45[/tex]

[tex]r = 3[/tex]

[tex]n = 9[/tex]

The formula becomes:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

[tex]S_9 = \frac{45* (3^9 - 1)}{3 - 1}[/tex]

[tex]S_9 = \frac{45* (3^9 - 1)}{2}[/tex]

[tex]S_9 = \frac{45* (19683 - 1)}{2}[/tex]

[tex]S_9 = \frac{45* (19682)}{2}[/tex]

[tex]S_9 = 45* 9841[/tex]

[tex]S_9 = 442845[/tex]

Hence, the sum of the first 9 terms is 442845

Answer:

x²y²z is the Greatest Common Factor

Therefore,

6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)

Step-by-step explanation:

Given the expression

6x³y²z⁴ - 7x²y⁵z

The first step is to factor out the greatest common factor from each term

6x³y²z⁴ = 2 · 3 · 6 · x · x · x· y · y · z · z · z · z

7x²y⁵z =  7 · x · x · y · y · y· y · y · z

So

G.C.F = x · x . y · y . z

G.C.F = x²y²z

Thus, x²y²z is the Greatest Common Factor

Therefore,

6x³y²z⁴ - 7x²y⁵z = x²y²z (6xz³ - 7y³)

Answer:

√2 + x

Step-by-step explanation:

To obtain the hypotenus, h:

Using Pythagoras rule :

h² = opposite² + Adjacent²

Opposite = √2

Adjacent= x

h² = (√2)² + x²

Take the square root of both sides

h = √2 + x

Hence, the hypotenus is √2 + x

Answer:

9/12×100

0.75×100

=75%

Divide number he got correct by total questions, then multiply by 100.

9/12 = 0.75

0.75 x 100 = 75%

The answer is 75%

Answer:

City M is colder then city L  because city L is closer to the midle/the 0

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

-2x < 10

-6 < -2x

Part a) Is x = 0 a solution to both inequalities

FOR  -2x < 10

substituting x = 0 in -2x < 10

-2x < 10

-3(0) < 10

0 < 10

TRUE!

Thus, x = 0 satisfies the inequality -2x < 10.

∴ x = 0 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 0 in -6 < -2x

-6 < -2x

-6 < -2(0)

-6 < 0

TRUE!

Thus, x = 0 satisfies the inequality -6 < -2x

∴ x = 0 is the solution to the inequality -6 < -2x

Conclusion:

x = 0 is a solution to both inequalites.

Part b) Is x = 4 a solution to both inequalities

FOR  -2x < 10

substituting x = 4 in -2x < 10

-2x < 10

-3(4) < 10

-12 < 10

TRUE!

Thus, x = 4 satisfies the inequality -2x < 10.

∴ x = 4 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 4 in -6 < -2x

-6 < -2x

-6 < -2(4)

-6 < -8

FALSE!

Thus, x = 4 does not satisfiy the inequality -6 < -2x

∴ x = 4 is the NOT a solution to the inequality -6 < -2x.

Conclusion:

x = 4 is NOT a solution to both inequalites.

Part c) Find another value of x that is a solution to both inequalities.

solving -2x < 10

[tex]-2x\:<\:10[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-2x\right)\left(-1\right)>10\left(-1\right)[/tex]

Simplify

[tex]2x>-10[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}>\frac{-10}{2}[/tex]

[tex]x>-5[/tex]

[tex]-2x<10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}[/tex]

solving -6 < -2x

-6 < -2x

switch sides

[tex]-2x>-6[/tex]

Multiply both sides by -1 (reverses the inequality)

[tex]\left(-2x\right)\left(-1\right)<\left(-6\right)\left(-1\right)[/tex]

Simplify

[tex]2x<6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}<\frac{6}{2}[/tex]

[tex]x<3[/tex]

[tex]-6<-2x\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3\right)\end{bmatrix}[/tex]

Thus, the two intervals:

[tex]\left(-\infty \:,\:3\right)[/tex]

[tex]\left(-5,\:\infty \:\right)[/tex]

The intersection of these two intervals would be the solution to both inequalities.

[tex]\left(-\infty \:,\:3\right)[/tex]  and [tex]\left(-5,\:\infty \:\right)[/tex]

As x = 1 is included in both intervals.

so x = 1 would be another solution common to both inequalities.

FOR  -2x < 10

substituting x = 1 in -2x < 10

-2x < 10

-3(1) < 10

-3 < 10

TRUE!

Thus, x = 1 satisfies the inequality -2x < 10.

∴ x = 1 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 1 in -6 < -2x

-6 < -2x

-6 < -2(1)

-6 < -2

TRUE!

Thus, x = 1 satisfies the inequality -6 < -2x

∴ x = 1 is the solution to the inequality -6 < -2x.

Conclusion:

x = 1 is a solution common to both inequalites.

Answer:

x = -6

-18+4y=0 => 4y=18 =>y=18/4=9/2

Y=5

3x+20=0 => x=3x= -20=> x= -20/3

Step-by-step explanation:

The value of the given expression is -38.

Simplify fractions by cancelling all the common factors from both the numerator and the denominator and writing the fraction in its lowest/simplest form.

Given an expression, 3x + 4y

Putting x = -6 and y = -5, we get,

3x(-6) + 4x(-5)

= -18-20

= -38

Hence, The value of the given expression is -38.

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Answer:

x = 10

Step-by-step explanation:

DE is the midsegment joining the midpoints of BC and AC respectively.

Therefore, by the property of midsegment of a triangle,

DE will be parallel and half of the measure of the third side of the triangle.

DE = [tex]\frac{1}{2}(AB)[/tex]

5 = [tex]\frac{x}{2}[/tex]

x = 10 units

Answer:

SAS

Step-by-step explanation:

ok so there is one angle and 2 sides

Answer:

5

Step-by-step explanation:

Answer:

1/5 is a rational number

Step-by-step explanation:

"In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1."

Answer:

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

[tex](7x - 7) \degree = (6x + 11) \degree \\ (exterior \: alternate \: \angle s) \\ \\ 7x - 7 = 6x + 11 \\ \\ 7x - 6x = 11 + 7 \\ \\ x = 18[/tex]

Answer:

The 15?

Step-by-step explanation:

Answer:

balance

i

Step-by-step explanation:

mark as brainleast and fo-ll-ow me

Answer:

12/20

60%

Step-by-step explanation:

A fraction has a numerator and denominator

The numerator is the total number of heads

The denominator is the total number of times the coin was flipped

[tex]\frac{12}{20}[/tex]

To express in percent form, multiply by 100

[tex]\frac{12}{20}[/tex] x 100 = 60%