Find the value of two numbers if their sum is 112 and their difference is 66.

Answer:

C) Graph A and Graph C

Step-by-step explanation:

A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.

Graph b does not show a straight line so B does not show a proportional relationship.

Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.

Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.

Thus, the answer is C) Graph A and Graph C

if any doubt leave a comment

Tn = 2n - 6

to find first term ,n= 1

substitute n for 1 in the equation

T1 = 2(1) - 6

T1 = 2 - 6 =-4

to find second term , n =2

substitute n for 2 in the equation

T2 = 2(2) - 6

T2 = 4 - 6 = -2

to find third term, n = 3

substitute n for 3 in the equation

T3 = 2(3) - 6

T3 = 6–6 = 0

FIRST TERM = -4

SECOND TERM = -2

THIRD TERM = 0

Answer:

f(x) is linear

g(x) is exponential

Step-by-step explanation:

A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.

First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:

[tex](-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20[/tex]

All of these points are the same distance apart on the y, so f(x) must be a linear function.

Now look at g(x). These are also all equally distant at only 1 unit apart.

[tex]30-10=20\\90-30=60\\270-90=180[/tex]

These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.

Answer:

D

Step-by-step explanation:

50-40=10

8-39=-31

-31/10=-3.1

So the answer is D.

Hope this helped! :)

Step-by-step explanation:

There are 17 hours between 7:45 to 1:00

2 5/12 or 29/12

hope it helps ?

study well:)

Answer:  Deopends.  See below.

Step-by-step explanation:

-5/12 from 2​

The question is poorly worded.  Is it asking us to subtract -5/12 from 2?  Or are we being asked to subtract 5/12 from 2?

Assuming the first:

2 - (-5/12)

2 + 5/12

2 5/12 or 24/12 + 5/12 = 29/12

Assuming the second:

2 -5/12

24/12 - 5/12

19/12

[tex]\boxed{\sf Distance=Speed(Time)}[/tex]

Let

Both travelled same distance

[tex]\\ \sf\longmapsto 4x=3(x+10)[/tex]

[tex]\\ \sf\longmapsto 4x=3x+30[/tex]

[tex]\\ \sf\longmapsto x=30mph[/tex]

Answer:

8x/3+6 is equivalent and simplified

Hello!

2nd equivalent fraction to is 5/7 is 10/14.

Other equivalent fractions are 15/21, 20/28, 50,70...

I hope this helps,

Have a great day!

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

[tex]h(t) = -6t^2 + 13t + 5[/tex]

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

[tex]-6t^2 + 13t + 5 = 0[/tex]

Expand the expression

[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]

Factorize the above expression

[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]

Factor out 2t - 5 in the 2t - 5

[tex](-3t - 1)(2t - 5 )= 0[/tex]

Split the equation into 2

[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]

Rewrite as:

[tex]-3t = 1\ or\ 2t = 5[/tex]

Solve for t

[tex]t = -\frac 13\ or\ t = \frac 52[/tex]

The value of t cannot be less than 0 i.e. negative.

So, we have

[tex]t = \frac 52[/tex]

Divide 5 by 2

[tex]t = 2.5[/tex]

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

https://brainly.com/question/11631534

The length of the field in the drawing is 81 cm

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Scale of the drawing : Length in meters is in the ration 3 cm : 4 m

Length of the soccer field is 108 m

Now , length of 108 m soccer field in scale of drawing = x

From proportion formula , we can deduce that

3 : 4 : : x : 108

So ,

3/4 = x/108

Multiply by 108 on both sides , we get

( 3 x 108 ) / 4 = x

x = 3 x 27 cm

x = 81 cm

Hence , length of the field in the drawing is 81 cm

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ5

Answer:

2278

Step-by-step explanation:

(3.9×10−5)(7×10−3)

= (39 - 5)(7 x 10 -3)

= (39 - 5)(70-3)

= 34(70-3)

= 34 x 67

= 2278

Answer:

12

Step-by-step explanation:

So Josh is 6 years older than kims age and the sum of the ages is less than 31, the greatest number that is less than 31 is 30 so we can use that.

We can make an equation out of this and solve it.

n+(n+6)=30

2n+6=30

2n=24

n=12

12 is the oldest Kim could be.

12+(12+6)=12+18=30.

Answer:

[tex] - 4( - 4x - 5) = - 4 \times - 4x - ( - 4) \times ( - 5) \\ = 16x - 20[/tex]

Answer:

[tex]16x+20[/tex]

Step-by-step explanation:

[tex]-4(-4x-5)[/tex]

[tex]\mathrm{Multiply\:}-4\mathrm{\:to\:the\:values\:in\:the\:parenthesis}[/tex]

[tex]-4(-4x-5)[/tex]

[tex]-4\cdot-4=16[/tex]

[tex]-4\cdot-5=20[/tex]

[tex]=16x+20[/tex]

Answer:

(0, -8)

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Answer:

768

3/10 times 2560 simply equals 768 after the calculations are done

M list the sides of ABC in order from shortest to longest

Sum of angles in a triangle = 180

Angles A + B + C = 180

80 + 3x + 5 + 5x - 1 = 180

3x + 5x = 180 - 80 - 5+1

8x = 96

x = 96/8

x = 12

So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59

Angle A = 80, B = 41, C = 59

So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.

So from the smallest to biggest side:

AC < AB < BC

Arigatou gozaimasu!!

The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .

A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.

There are 4 different points of concurrency in the triangle are:

1. Circumcenter

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

For an obtuse-angled triangle, the circumcenter lies outside the triangle.

For a right-angled triangle, the circumcenter lies at the hypotenuse.

2. Incenter

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

3. Centroid

The point where three medians of the triangle meet is known as the centroid.

4. Orthocenter

The point where three altitudes of the triangle meet is known as the orthocenter.

For an obtuse-angled triangle, the orthocenter lies outside the triangle.

According to the question

The point of concurrency in a right triangle is also the midpoint of the hypotenuse.

According to the Triangle Concurrency Points

For a right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse.

Hence, The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .

To know more about Triangle Concurrency Points here:

https://brainly.com/question/1603917

#SPJ2

[tex]\huge \bf༆ Answer ༄[/tex]

Answer:

I think the answer is 194.6 miles on the third day

Step-by-step explanation:

I'm pretty sure the answer is y=x+5

Answer:

A, 12c + 7b + 24

B, $69

Step-by-step explanation:

Please, read my picture Thanks! Also tell me if its right in the comment

4 * 12 + 3 * 7 + 24 = m

m represents how much money Marta spent

48 + 21 + 24 = m

69 + 24 = m

$93 = m

Answer:

Step-by-step explanation:

A number is at least 65. It means the number n can be 65 or greater.

Its translation is:

The answer options don't have this included.

Let the number be n

Inequality:-

[tex]\\ \sf{:}\Rrightarrow n\geqslant 65[/tex]

Answer:

yes you are right

Step-by-step explanation:

Answer:

Yes, you are right!

Step-by-step explanation:

I hope this helps!

−5(|x−3|)−5<15

Step 1: Add 5 to both sides.

−5(|x−3|)−5+5<15+5

−5(|x−3|)<20

Step 2: Divide both sides by -5.

−5(|x−3|)

−5

<

20

−5

|x−3|>−4

Step 3: Solve Absolute Value.

|x−3|>−4

We know eitherx−3>−4orx−3<−(−4)

x−3>−4(Possibility 1)

x−3+3>−4+3(Add 3 to both sides)

x>−1

x−3<−(−4)(Possibility 2)

x−3<4(Simplify both sides of the inequality)

x−3+3<4+3(Add 3 to both sides)

x<7

Answer:

x>−1 or x<7

Answer:

the next is -2 × 5 = - 10

Step-by-step explanation:

the sequence is times 5

Answer:

the answer is 28 for the area.