If a = m + bt , find " m " when a = 24, b = 4 and t = 3
m=??

9514 1404 393

Answer:

  c = -3; d = 5

Step-by-step explanation:

The function is differentiable if it is continuous and the derivative is continuous.

This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  5(3^2) +c = 45 +c

From the right, the limit is ...

  d(3^2) -3 = 9d -3

__

The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  f'(x) = 10x

  = 10(3) = 30

From the right, the limit is ...

  f'(x) = 2dx

  = 2d(3) = 6d

__

This gives us a pair of simultaneous equations in 'c' and 'd':

  45 +c = 9d -3

  6d = 30

The latter tells us d = 5. Then the former tells us ...

  45 +c = 9(5) -3   ⇒   c = -3

The function is differentiable if c = -3 and d = 5.

_____

Additional comment

With these values, the function becomes ...

  [tex]f(x)=\begin{cases}5x^2-3&\text{if }x\le 3\\5x^2-3&\text{if }x>3\end{cases}[/tex]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Step-by-step explanation:

3. If x + 7 = 23, then x = 16

7. If x - 24 = 25, then x = 49.

Answer:

1.67 or 5/3

Hope this helps

Answer:

1 2/3

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{8}{5}[/tex]

Applying the fractions formula for division,

= [tex]\frac{8}{3} x \frac{5}{8}[/tex]

=[tex]\frac{40}{24}[/tex]

Simplifying 40/24, the answer is

1[tex]\frac{2}{3}[/tex]

Hope this helps!!! :)))

Answer:

Sorry about the person above. The answer would be:

C. [tex]3x + 2y = 22[/tex] and [tex]5x + 2y = 39[/tex]

Explanation:

I just did the test.

Answer:

C

Step-by-step explanation:

Answer:

21 inches squared

Step-by-step explanation:

i think thats the answer???

Answer:3x7=21

Step-by-step explanation:

multiply 3x7 and its 21

Answer:

Max value: 9

Max x value: -2

Step-by-step explanation:

We're trying to find the vertex of y = 5 - 4x - x²

We can try to convert this equation to vertex form

First, subtract 5 from both sides

y = 5 - 4x - x²

- 5  -5

y - 5 = -4x - x²

Then add -4 to both sides (this is because this the sqaure of half b -4)

y - 5 - 4 = -4x - x²+ 4

y - 9 = -4 - 4x - x²

Factor the right side of the equation

y - 9 = -(x + 2)(x + 2)

y - 9 = -(x + 2)²

Add 9 to both sides

y - 9 = -(x + 2)²

 + 9      + 9

y = -(x + 2)² + 9

To find the max values we have to make it to where x + 2 = 0

x + 2 = 0

  - 2     - 2

x = - 2

When we make equation inside the parenthesis 0, we get y = 9

y = -(-2 + 2)² + 9

y = -(0)2 + 9

y = 9

Answer:Calculate the Land Transfer Tax on a house for 248000

   Calculation example

1.multiply $55,000 by 0.5% (55,000 × 0.005) = $275.

2.multiply the amount exceeding $55,000 up to $250,000 by 1.0% (195,000 × 0.01) = $1,950.

3.multiply the amount exceeding $250,000 up to $400,000 by 1.5% (150,000 × 0.015) = $2,250.

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to the exterior angle that's supplementary to the third interior angle:

7x + 6 + 22 = 9x + 12 add like terms

7x + 28 = 9x + 12 export like terms to the same side of the equation

28 - 12 = 9x - 7x

16 = 2x divide both sides by 2

8 = x

Answer:

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator

Your welcome

Answer:

27/28

Step-by-step explanation:

You would have to find the LCM of 4 and 7, which is 28. Then you multiply the numerators by the same number you multiplied on the denominator. You would then get 1 7/28 - 8/28 = 35/28 - 8/28 = 27/28.

Answer:

8 Dollars for the hamburger and fry meal. then use the extra two dollars for a drink.

Step-by-step explanation:

IH + HJ = 2 (IH)

0.75 + HJ = 2(0.75)

0.75 + HJ = 1.5

HJ = 1.5 - 0.75

HJ = 0.75

Answer:

A: dense and solid

E: located near a star

Step-by-step explanation:

got it right on the assignment

Answer:

answer of n is 15 by pythagoras theorem

Step-by-step explanation:

n is a hypotenuse

[tex] \sqrt{ {12}^{2} + {9}^{2} } = 15[/tex]

[a] If the total is 450 and Gavin (g or y) earned 50 more than Seiji (s or x) then we can create the following system:

{ s + 50 = g

{ g + s = 450

[b] See attached

[c] Gavin earned $250 and Seiji earned $200

    Using the graph, we will look at where the points intercept. The x will be Seiji, and the y will be Gavin. Using this, we can see the answer is (200, 250) leaving Seiji with 200 dollars and Gavin with 250 dollars

    (there is also a simpler way to do this, but as I was following the assignment I think this is what you need!)

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Associative property of addition

Step-by-step explanation:

Answer:

Associative property of addition

Answer:

x= 1.36

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(x−2 2/5) = −5.2

1. We need to use distibutaive property

5×x and 5×-2.4

5x - 12 = -5.2

2. We need to get x alone.

5x - 12 = -5.2

    -12      -12

5x = 6.8

3. We need to divide

5x = 6.8

/5     /5

x = 1. 36

check:

5(1.36−2 2/5)=−5.2

6.8 - 12 = 5.2

Answer:

y=8/5x-4

Step-by-step explanation:

1:find the slope

[tex]\frac{4+4}{5-0} =\frac{8}{5}[/tex]

slope/m=8/5

2: solve for b using Y=mx+b

plug in the numbers to find b (the x and y get from one set of the points your given and the m is the slope)

Y=mx+b

y=4

m=8/5

x=5

4=8/5(5)+b

4=8+b

-4=b

than to put all the in y=mx+b form just plug in the b and m

Answer:

128

Step-by-step explanation:

72 people are vegetarians so 200-72=128

Answer:

a) 17

b) 45

Step-by-step explanation:

a) [tex]9+3 x 2^{2} - 1 x 4[/tex]

use pemdas first,

[tex]2^{2}\\[/tex] = 4

3x4 = 12

1x4 = 4

now the equation is [tex]9+12 - 4[/tex]

9+12 = 21

that makes the equation 21-4

21-4 = 17

a) 17

now for b

b)

the equation would then be [tex]9+3 x (2^{2} - 1) x 4[/tex]

so youd use pemdas as always

start in the parenthases

[tex]2^{2}[/tex] = 4

4-1 = 3

the equation is now [tex]9+3 x 3 x 4[/tex]

now, multiply 3x3x4

3x3 = 9

9x4 = 36

now the equation is 9+36

9+36 is 45

b) 45

hope this helped!

Answer:

A) 17    B) 45

Step-by-step explanation:

Hope this helps.

Answer:

Step-by-step explanation:

uh.

Answer:

Step-by-step explanation:

Answer:

The population of the town is 0.983 times the population of the town in the previous

Step-by-step explanation:

Answer:

3 terms!

Step-by-step explanation:

You can tell by what is separated by addition or subtraction.

Answer:

Step-by-step solution :

STEP

1

:

Equation at the end of step 1

 (23x2 -  6x) -  3

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  8x2-6x-3  

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   8 • -3 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -6 .

     -24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2  

     -4    +    6    =    2  

     -3    +    8    =    5  

     -2    +    12    =    10  

     -1    +    24    =    23  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 8x2 - 6x - 3

Answer:

4x

Step-by-step explanation:

64xyz =  2⁶ * x * y* z

36xy = 2² * 3² * x * y

24x   = 2³ * 3 * x

GCF = 2² *x = 4x

Judging by the image the function graphed has an asymptote at x = 3 and extends forever to -infinity along the x axis.

so the answer would be - infinity not included (because infinity is a concept not a number) to +3 not included because the function infinitely approaches x = 3. this is (-∞,3) in interval notation.  

Answer:

X = 1

Step-by-step explanation:

-2x + 7 = 3 - ( -2x)

-2x + 7 = 3 +2x (- - = +) (+ + = +) and (different signs always negative: - + = -)

(any term or numbers moved from one side of the = sign goes from negative to positive or from positive to negative, from multiplying to dividing and from dividing to multiplying. First isolate the additions or subtractions.)

-2x + 7 = 3 + 2x

-2x + 7 - 3 = 2x

-2x + 4 = 2x

4 = 2x + 2x

4 = 4x (a number next to a letter is multiplying. It goes to the other side of the equation dividing)

4 /4 = x

X = 1

-2x + 7 = 3 - (-2x)

-2x + 7 = 3 + 2x

-2x - 2x = 3 - 7

-4x = -4

x = 1

Answer:

I believe that y=7I'm not sure what your tring to figure out

Answer:

b: y=2x-5

Step-by-step explanation:

Y = MX + B

Slope = M

B = y-intercept