For the table below, determine the function rule, and find each of the missing y-values.

Function Rule: ?
x y
1 4
3 6
4 7
5 ?
7 10
10 ?

Answers

Answer 1
The answer is 8 and 13


y = ax + b
y = 4, x = 1        ⇒  4 = a + b
y = 6, x = 3       ⇒  6 = 3a + b

Solve the system of equation:
a + b = 4
3a + b = 6
______
b = 4 - a
3a + b = 6
______
3a + 4 - a = 6
2a + 4 = 6
2a = 6 - 4
2a = 2
a = 2/2 = 1
b = 4 - a = 4 - 1 = 3

So, the function rule is: y = x + 3

Thus, if x = 7, then y = 7 + 3 = 10
If x = 10, then y = 10 + 3 = 13


x y
1 4
3 6
4 7
5 8
7 10
10 13

Related Questions

What is the value of the function at x = 3?

Answers

the value is 3 because x=3 right there! it's not even a question, just an answer!

Answer:

this goes to jaden rashid, jaden your all grown up now and so is ur cat,  u will always be a legend

Step-by-step explanation:

the answer is 5

I have 28 toys that are solar 2/7 of them are Disney characters how many solar toys are Disney characters

Answers

the answer is 8 toys to this question

Final answer:

To find out how many solar toys are Disney characters, multiply the total number of toys by the fraction of toys that are Disney characters.

Explanation:

To find out how many solar toys are Disney characters, we need to multiply the total number of toys by the fraction of toys that are Disney characters. In this case, 2/7 of the toys are Disney characters. So, we can calculate:

Number of solar Disney toys = Total number of solar toys × Fraction of Disney toys

Number of solar Disney toys = 28 × 2/7 = 8

Therefore, there are 8 solar toys that are Disney characters.

The solution to -35x = -105 is -3.

True
False

Answers

-35x=-105 is not -3 because  you are dividing with two negatives so
the answer is FALSE

How do you do long divison with 2 digits?

Answers

By 2 digits if you mean there is a digit on each side of a division symbol you will solve what you have there and then add a decimal point to the answer and then add zeros to bring down. Then you can repeat the long division process and will have an answer.

Megan is trying to remember her password for her computer. All she can remember is that it is 2 letters followed by 3 digits.

How many possible combinations are there for Megan's password?

A. 1,560

B. 1,676

C. 468,000

D. 492,804

E. 676,000

Answers

i think B. 1,676 
hope this helps

The number of permutations possible is 468000.

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

The first two places are occupied by letters.

The last 3 places are occupied by numbers.

The permutation for the first 2 places is: [tex]26P_2[/tex]

The permutation for the last 3 places is: [tex]10P_3[/tex]

The total permutation is:

[tex]26P_2 \times 10P_3\\\\=468000[/tex]

Hence the correct option is option C.

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HELP I BEG OF YOU!!!!!!!!!!!

Answers

Its 4 because its the gcf not the lcd
The answer i got was 4 because the GCF is 4 

Solve −4(x + 10) − 6 = −3(x − 2).

A. −40
B. −46
C. −52
D. 52

Answers

−4(x + 10) − 6 = −3(x − 2)
-4x-46=-3x+6
-x=52
x=-52

Thus, C would be the answer.

Answer:

x = -52

Step-by-step explanation:

-4(x+10)-6=-3(x-2)

                                 Distribute -4  on the left side and -3 on the right side

-4x-40-6=-3x+6

                                Combine Like terms

-4x-46=-3x+6

                               Add 46 both sides

-4x=-3x+52

                              Add 3x to both sides

-1x=52

                             Divide by -1

x=-52

Hope this helps!!!! :)

Ben buys a car for $50,000. The value of the car decreases at a rate of 4% per year. How much will the car be worth in 3 years?

Answers

50000*0.04*3=6000,,50000-6000=44000

Answer:

The answer is 44,237.

Step-by-step explanation:

50000×0.96×0.96×0.96

=44236.8

when rounded to the nearest dollar it is 44,237.

Santosh is four more than three times the age of his cousin. If Santosh is 49 years old, then what is the age of his cousin?

Identify the two operations, in their appropriate order, needed to solve this equation.

Subtract and then multiply.
Add and then multiply.
Subtract and then divide. < is it this one?
Add and then divide.

Answers

let cousin = x
Santos. =(3x+4)
Santos. ........49
=>3x+4=49
3x=49
x=15
=> cousin is 15yrs

Answer:

The answer is Subtract and then divide

Hope this helped.

if 2 people bring 3 pies each and then 3 more people show up, how much pie will each person get?

Answers

Each person will get 1 and 1/5 of a pie

15 meters or 15 yards

Answers

are there any options?
 

The decimal of 2 quarters, 1 dime, and 4 pennies

Answers

The answer to this is 0.64

The total amount of money that your mother distributes to you and your two siblings if she gives each person x dollars

Answers

3x
same share to 3 people
x=amount/3

Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like reading mystery stories, the number of students at the library who liked mystery stories was _____. (only put numeric values, no other symbols)

Answers

First we need to calculate that numeric value. It cannot be done immediately without calculations.

if 85% of studends liked mystery that means that 100% - 85% = 15% didnt like.

Those 15% are 30 that were given in text. Now we can calculate this using proportion:

15%        30 students
85%         x students

we use cross multiplication:
15*x = 30*85
x = 30*85/15
x = 170

Answer is 170

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?

Answers

It has rotated 360 degrees means a complete revolution. 
As an Octagon has eight sides, it would be pre-image for eight times during the rotation.
So, your final answer is 8
The answer would be 8.

Ken drew a pair of intersecting rays and marked the angle between them.

Which of these statements best compares the pair of intersecting rays with the angle?
-The rays and the angle have two endpoints each.
-The rays and the angle have their lines extending in opposite directions.
-The rays have a number of points lying on them and the angle has only one point lying on it.
-The rays extend infinitely and the angle is made by the rays which have a common endpoint.
...?

Answers

The best and most correct answer among the choices provided by your question is the fourth choice.

The rays extend infinitely and the angle is made by the rays which have a common endpoint.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Answer:

-The rays extend infinitely and the angle is made by the rays which have a common endpoint.

Step-by-step explanation:

A ray starts from one point and extends in one direction forever.

An angle is the space between two intersecting lines at or close to the point where they meet. In this case two rays intersect each other at one point

. Which ordered pair in the form (a, b) is a solution of this equation? 4a – 5b = 24 A. (0, 6) B. (6, 0) C. (–5, –2) D. (–2, –5)

Answers

The answer is B. (6, 0)

Let's check all solutions

A. (0, 6)
a = 0
b = 6
4a – 5b = 24
4*0 - 5*6 = 24
0 - 30 = 24
-30 = 24
INCORRECT

B. (6,0)
a = 6
b = 0
4a – 5b = 24
4*6 - 5*0 = 24
24 - 0 = 24
24 = 24
CORRECT

C. (-5, - 2)
a = -5
b = -2
4a – 5b = 24
4*(-5) - 5*(-2) = 24
-20 + 10 = 24
-10 = 24
INCORRECT

D. (-2, -5)
a = -2
b = -5
4a – 5b = 24
4*(-2) - 5*(-5) = 24
-8 + 25 = 24
17 = 24
INCORRECT

Find the area of the blue sector of the circle. Round to the nearest hundredth.
A)4.19 cm2
B)6.22 cm2
C)8.31 cm2
D)9.67 cm2 ...?

Answers

Answer:

A) 4.19 cm^2

Step-by-step explanation:

An orchard has 24 rows of apple trees. there are 35 apple trees in each row. how many apple trees are in the orchard?

Answers

So here is how we are going to find the answer. Given that there are 24 rows of apple trees and each row, there are 35 apple trees, so to find how many apple trees are in the orchard, we just have to multiply 24 by 35 and we get 840. So there are 840 apple trees in the orchard. Hope this answer helps.

Deserts advance linearly, in easily mappable patterns.


True
False

Answers

It is false that deserts advance linearly, in easily mappable patterns.
Deserts don't really have a pattern when they are advancing - there are so many ways they can do this. 

This answer is false.

a car wheel has a 14 inches radius. through what angle does the wheel turn when the car rolls forward 2 ft???? ...?

Answers

arc length = rad * angle2 ft = 14 inch * angle2*12 inch = 14 inch * angleangle = 24/14 inch = 12/7 radiansthis angle is in radianswe need to convert it into degress so for conversion, (12/7)*(180/pi)solve it and u get 1080/11 deg or 98.2 deg

Joe builds a toy house in the shape of a rectangular prism. If he paints each of its faces with a different color of paint, how many colors will he require?


4



5



6



8

Answers

The answer should be 6
the answer would be 6 because a rectangle has 6 sizes and so he would need at least 6 different paint

In which figure is DE\\BC ? figure 1 figure 2 figure 3 figure 4

Answers

the answer is figure #4

In Figure 4, in the triangle ΔABC, DE is parallel to BC, i.e., DE||BC.

A triangle is one of the most basic geometric figures, having 3 sides, 3 angles, and 3 vertices.

By the theorem of the triangle, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. Let's check the theorem holds for which triangle in the given figures.

Figure 1:

[tex]\frac{AD}{BD} = \frac{6}{15} =\frac{2}{5}[/tex]

[tex]\frac{AE}{CE} = \frac{6.6}{17.5} =\frac{66}{175}[/tex]

Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],

Here, in triangle ABC, DE is not parallel to BC.

Figure 2:

[tex]\frac{AD}{BD} = \frac{5}{12}[/tex]

[tex]\frac{AE}{CE} = \frac{6}{15} =\frac{2}{5}[/tex]

Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],

Here, in triangle ABC, DE is not parallel to BC.

Figure 3:

[tex]\frac{AD}{BD} = \frac{4}{12} =\frac{1}{3}[/tex]

[tex]\frac{AE}{CE} = \frac{5}{16}[/tex]

Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],

Here, in triangle ABC, DE is not parallel to BC.

Figure 4 :

[tex]\frac{AD}{BD} = \frac{5.5}{15}[/tex]

     [tex]= \frac{55}{150}\\ = \frac{11}{30}[/tex]

[tex]\frac{AE}{CE} = \frac{6.6}{18}[/tex]

     [tex]=\frac{66}{180}\\ =\frac{11}{30}[/tex]

Since, [tex]\frac{AD}{BD} = \frac{AE}{CE}[/tex],

Therefore, in triangle ABC, DE is parallel to BC, i.e., DE||BC.

Learn more about Triangles here:

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Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2

Answers

-3x²-2 .................

Jerome walked 2/3 mile in the morning and 11/12 mile in the evning. How many miles did he walk in all?

A.)19/24
B.)7/12
C.)1 and 7/12
D.)1 and 1/3

Answers

C 1 and 7/12 Because 2/3=8/12 it is really 8/12+11/12 which is 19/12 which equals 1 7/12

12+5x-8=12x-10
Help me solve it step by step

Answers

The first thing you want to do is combine like terms

4 + 5x = 12x -10

and make x on one side alone

14 = 7x


divide by 7 to make x alone

2 = x

The answer is 2

an antenna is on top of an 80 foot building, 12 feet from the edge. from a point 60 feet from the base of the building,the angle from ground level to the top of the antenna is 68 degrees. find the height of the antenna to the nearest foot

Answers

Height is 80 + x and width is 60.  Tan(68) = o/a = (80+x)/60

solving for x gives 68.5 or 69
The answer is 98.5 hope it help

Indicate the method you would use to prove the two 's . If no method applies, enter "none".HL

LA

LL

HA

None

Answers

THE ANSWER THAT YOUR LOOKING FOR IS  D

Answer : HA

Indicate the method you would use to prove the two 's

HL  -> It represents Hypotenuse Leg. In the figure , the hypotenuse are same but not the length.

LA  --> It represents Leg Angle . In the figure ,  the corresponding legs and angle are not same.

LL  --> It represents Leg Leg . In the figure ,  the corresponding legs  are not same.

HA--> It represents Hypotenuse Angle . In the figure ,   In the figure , the corresponding hypotenuse and angles  are same.


What is the tan of 30 degrees

Answers

Answer:

The value of tan 30 degrees is 0.57736.

Step-by-step explanation:

Tan 30 degrees in radical form is = [tex]\frac{1}{\sqrt{3} }[/tex]

We know [tex]\sqrt{3}[/tex] = 1.732

So, tan 30 degrees = [tex]\frac{1}{1.732}[/tex]

= 0.57736

The answer is 0.57736.

Please find attached the exact value reference triangle .

The required value of tan 30 degrees is 1/[tex]\sqrt{3}[/tex].

Given the trigonometric function tan 30 degrees.

The tangent of 30 degrees, written as tan(30°), can be evaluated without a calculator by using the trigonometric properties of special angles.

In a right triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

For a 30°- 60°- 90° right triangle, the side opposite the 30-degree angle is half the length of the hypotenuse, and the side adjacent to the           30-degree angle is equal to the length of the hypotenuse multiplied by

[tex]\sqrt{3}[/tex]/2.

In a 30°-60°-90° triangle, the tangent of 30 degrees is given by:

tan(30°) = (opposite side) / (adjacent side)

tan(30°) = (1/2) / ([tex]\sqrt{3}[/tex]/2)

tan(30°) = 1/[tex]\sqrt{3}[/tex] = [tex]\sqrt{3}[/tex]/3.

tan (30°) = [tex]\sqrt{3}[/tex]/3

Multiply both numerator and denominator by [tex]\sqrt{3}[/tex] gives,

tan(30°) = 3/3[tex]\sqrt{3}[/tex].

Divide both numerator and denominator by 3 gives,

tan(30°) = 1/[tex]\sqrt{3}[/tex].

Therefore, the tangent of 30 degrees is 1/[tex]\sqrt{3}[/tex].

Hence, the required value of tan 30 degrees is 1/[tex]\sqrt{3}[/tex].

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Solve for the variable y: a=by+2

Answers

The answer is "a-2/b=y".
This is simply rewriting a problem to solve for a different variable, which means there will still be other variables in your answer:
a=by+2
Subtract 2:
a-2=by
Divide by b:
(a-2)/b=y
Sometimes, this may be written as (a/b)-(2/b)=y
Hope this helps!
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