Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4​

Answer:

20 million vehicles in total

Step-by-step explanation:

25%=1/4

5 million vehicles = 25%

100%/25%=4

5 million * 4 = 20 million vehicles in total

The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.  

For any function to have a maximum, the differential of the function must be equal to zero.

If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.

For the function [tex]f(x)=-(m+x)^2[/tex]

[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]

Since the value of m in the fourth equation does not tend to zero, hence the  function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]  

Learn more here: https://brainly.com/question/12185438

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180° so we can write

[tex]y + 2y + 3y = 180° \Rightarrow 6y = 180°[/tex]

Solving for y, we get

[tex]y = 30°[/tex]

So the other two angles of the triangle are

[tex]2y = 2(30°) = 60°[/tex]

and

[tex]3y = 3(30°) =90°[/tex]

Answer :

1 one, it's one hoped this help !

The HCF (Highest Common factor) also called the GCF (Greatest Common Factor) of two consecutive odd numbers is 1. Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer:

A

Step-by-step explanation:

because > means more than the other number

Answer:

Domain: {0,1,2,4}

Range: {0, 1, 4, -6}

Step-by-step explanation:

Hi there!

The domain is the set of all x-values in a relation.

{(0,0),(1,1),(2,4),4,-6)}

The x-values are 0, 1, 2, and 4.

Domain: {0,1,2,4}

The range is the set of all y-values in a relation.

{(0,0),(1,1),(2,4),4,-6)}

The y-values are 0, 1, 4 and -6.

Range: {0, 1, 4, -6}

A function occurs when there is only one y-value for every x-value. This is the case for this relation, so therefore it is a function.

I hope this helps!

Answer:

f(- 7) = 0

Step-by-step explanation:

Substitute x = - 7 into f(x) , that is

f(- 7) = 2(- 7 - 5)(- 7 + 7)

       = 2 × - 12 × 0

      = - 24 × 0

     = 0

Answer:

Part A:  A) [tex]\frac{4y^{10}}{3w}[/tex]

Part B:

C) Quotient Rule of Powers (explained in Part A of this post).

D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).

Step-by-step explanation:

[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]

Use the Quotient Rule of Exponents:

[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]

The 28 and 21 can be reduced by dividing both of them by 7.  For the exponential expressions with the same base, you could subtract their exponents.  I'll do each base separately so it doesn't get confusing.

[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]

[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).

[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).

[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex]  We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).

Altogether, you'll have:

Option A: [tex]\frac{4y^{10}}{3w}[/tex]

C) Quotient Rule of Powers (explained in Part A of this post).

D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).

Answer:

y = [tex]\frac{3}{4}[/tex] x

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex] , rise over run, the graph is positive

Answer:

The number in the tenths place is 8

Step-by-step explanation:

Answer:

8.

Step-by-step explanation:

The first number after the decimal represents the tenths place. 315.84 8 is right after the decimal so it's in the tenths place.

9514 1404 393

Answer:

  D.  3.844 × 10^8 kilometers

Step-by-step explanation:

To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.

Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...

  3.844 × 10^8 km

9514 1404 393

Answer:

  b.  A × B = GCF(A, B) × LCM(A, B)

  c. 15 = GCF × LCM / 20

Step-by-step explanation:

b. The products of the numbers in the table are 80, 108, 216, 45.

The products of the corresponding GCF and LCM are 80, 108, 216, 45.

Conjecture: the product of the numbers is equal to the product of the GCF and LCM.

__

c. GCF×LCM = 5×60 = 300 = A×B = 20×B

  B = 300/20 = 15

The other number is 15, found by using the conjecture of part b.

_____

If you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:

  A = (factors in common with B) × (factors unique to A)

  B = (factors in common with A) × (factors unique to B)

The GCF, by definition, are (factors in common between A and B).

The LCM, by definition, is the product of unique factors:

  (common factors) × (factors unique to A) × (factors unique to B)

__

Then the product of the LCM and the GCF is ...

  GCF × LCM =

  (factors in common) × ((factors in common) × (unique to A) × (unique to B))

Using the associative and commutative properties of multiplication, we can rearrange this product to be ...

  ((factors in common)×(unique to A)) × ((factors in common)×(unique to B))

  = A × B

__

Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:

  [unique to A (common] unique to B)

Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.

Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.

The end parts [unique to A( and ]unique to B) can have no common factors. Any common factors must reside in the (common] part.

Answer:

1/8

Step-by-step explanation:

First convert 1/2 to eighths:

1/2 = 4/8

5/8-4/8= 1/8

Hope this helps! :)

Answer:

7/8

Step-by-step explanation:

You multiply 3/4 by 2 to get a common denomerater, then you get 6/8, after you add 1/8 + 6/8 and get 7/8

Answer:

lol no34532534

Step-by-step explanation:

Answer:

option b

Step-by-step explanation:

have a great day

pls mark as brainliest

Answer:

B

Step-by-step explanation:

Hello there! The formula for finding the circumference of a circle is

[tex]C=\pi d[/tex]

We are given that the radius is 3.

Don't worry! We can find the diameter. The diameter is 2 times the radius, so the diameter is 6 yards.

Now multiply π by 6:

C=18.8 yards

Hope this helps you! Please mark Brainliest if it does!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

B)

Step-by-step explanation:

9.7×10⁵= 970000

Hope this helped you- have a good day bro cya)

Answer:

1)

Angle 1: 59

Angle 2: 88

Angle 3: 147

2)x =21

Step-by-step explanation:

1)

Angle on a straight line add up to 180 degrees and angles in a triangle add to 180 degrees

2)

Opposite angles are equal. (4x) and (2x+42) are opposite therefore equal, so

4x=2x+42

Minus 2x from both sides

2x = 42

Find 1x by dividing 42 by 2, therefore

X=21

Answer:

9/11

Step-by-step explanation:

f(X)=-9/X

f(a) =-9/-11

f(a)= 9/11

[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]

[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]

( Decimal: [tex]2.36543...[/tex])

Steps:

1: Convert element to fraction.

[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]

[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]

2: Since denominator are equal, combine the fractions.

[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]

[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]

-----------------------

[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]

[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]

Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]

[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]

Answer:

43%

Step-by-step explanation:

mark me as brainliest please

Answer:

[tex]y=-\frac{3}{2}x-15[/tex]

Step-by-step explanation:

The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

So, all we have to do is make y the subject.

[tex]-3x-2y=30\\-2y=3x+30\\y=\frac{3x+30}{-2} \\y=-\frac{3}{2}x-15\\\\[/tex]

Answer:

y = (3/2)x - 15

Step-by-step explanation:

For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.

Original:

-3x - 2y = 30

and we want y to be the subject, so we start moving terms:

-3x = 30 + 2y

-3x - 30 = 2y

now it's just a matter of dividing both sides by 2 to give y as the subject

(-3/2)x - 15 = y

y = (-3/2)x - 15

Answer:

0.6

Step-by-step explanation:

Lets plug these points in:

[tex]\frac{((-6)-0)}{(0-10)} =\frac{-6}{-10} =0.6[/tex]

Answer:

Step-by-step explanation:

The points are plotted and the figure is a parallelogram with base and height both of 3 units long.

The area is:

Answer:

104.364

Step-by-step explanation:

Product means multiplication so:

44.6×2.34 = 104.364