How do you write 9,200 in scientific notation?

Answer:

[tex]m = \frac{5}{3}[/tex]  

[tex]b = \frac{4}{3}[/tex]

Step-by-step explanation:

The question requires you to rearrange the equation into the form:

y = mx + c

Which is the straight line equation, meaning rearrange for y:

Add 3y to both sides of the equation:

5x - 3y + 4 = 0

5x - 3y + 4 + 3y = 0 + 3y

5x + 4 = 3y

Divide both sides of the equation to isolate y:

[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]

[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]

This means that  [tex]m = \frac{5}{3}[/tex]  and [tex]b = \frac{4}{3}[/tex].

Hope this helps!

Answer:

m = 5/3 and c = 4/3.

Step-by-step explanation:

5x - 3y + 4 = 0

-3y = -5x - 4

y = (-5/-3)x - 4/-3

y = 5/3 x + 4/3

y  = mx    +  c

So m = 5/3 and c = 4/3

Answer:

0.85 × 9.412=8.0002 nearest so 0.25 × 9.421= 2.35525

Step-by-step explanation:

Answer:

41/63

Step-by-step explanation:

41/63 can't be simplified

Answer:

3/7+4/18=41/63

Step-by-step explanation:

3/7=3x18/7x18=53/126

4/18=4x7/18x7=28/126

54/126+28)126=54+28/126=82/126

82/126

simplify

41/63

Answer:

B I THINK

Step-by-step explanation:

Answer:

y = -x + 7

Step-by-step explanation:

As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run').  Thus, the slope of this line is m = rise/run = 8/(-8) = -1.

Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:

0 = -1(8) + b, or b = 8

Then the equation of the line through the two given points is y = -x + 8.  Any line parallel to this one has the same slope:  m = -1.

Repeat the above work to find the y-intercept of the line parallel to y = -x + 8  that goes through (2, 5):

5 = -2 + b, or b = 7

Then the desired line (final answer) is y = -x + 7

Answer:

Their highest common factor is the number 9

Answer:

even

Step-by-step explanation:

Answer:

[tex]\sqrt[3]{x}[/tex]

[tex]x^3[/tex]

is

Step-by-step explanation:

Answer:

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Step-by-step explanation:

[tex]f(x)=(x+3)^2-4[/tex]

[tex]0=(x+3)^2-4[/tex]

[tex]0=(x^2+6x+9)-4[/tex]

[tex]0=x^2+6x+5[/tex]

[tex]0=(x+1)(x+5)[/tex]

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Answer:

[tex]x=-1,\:x=-5[/tex]

Step-by-step explanation:

Solve the equation:

[tex]f(x)=\left(x+3\right)^2-4=0[/tex]

[tex]\left(x+3\right)^2-4=0[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]\left(x+3\right)^2-4+4=0+4[/tex]

[tex]\left(x+3\right)^2=4[/tex]

[tex]x+3=\sqrt{4}:x=-1[/tex]

[tex]x+3=\sqrt{2^2}[/tex]

[tex]x+3=2[/tex]

[tex]x+3-3=2-3[/tex]

[tex]x=-1[/tex]

[tex]x+3=-\sqrt{4}:x=-5[/tex]

[tex]x+3=-\sqrt{4}[/tex]

[tex]x+3=-2[/tex]

[tex]x+3-3=-2-3[/tex]

[tex]x=-5[/tex]

Now, look at the points plotted on the graph:

Answer:

b= -3

b=3/2=1.500

Step-by-step explanation:

step 1 . b • (2b + 3) -  9  = 0

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   3 .

     -18    +    1    =    -17  

     -9    +    2    =    -7  

     -6    +    3    =    -3  

     -3    +    6    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  6  

                    2b2 - 3b + 6b - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   b • (2b-3)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2b-3)

Step-5 : Add up the four terms of step 4 :

                   (b+3)  •  (2b-3)

Answer:

Hence 27 cubes can be obtained.

Step-by-step explanation:

Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3

Volume of cube of side 6cm = 216cm^3

Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes

Answer:

It would've costed $8 to buy these ribbons.

Step-by-step explanation:

Given:

(3 + 2) x 2 = Total cost

=> (5) x 2

= $10

Therefore, it would've costed $10 to buy these ribbons.

Hoped this helped.

Answer:

4.6 feet (explanation of division)

Answer:

The length of each piece is 4.6 feet

Step-by-step explanation:

Answer:

[tex]to \: know \: the \: answer \: [/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Answer: Look at the explanation

Step-by-step explanation: To understand what figures are congruent and what figures are similar, you need to understand what the terms mean.

Congruent figures have the same shape and size.

Similar figures have the same shape but different size.

The 1st figure is not congruent but it is similar.

2nd figure is congruent and similar which are rectangles. Wheather the figure is rotated or reflected, it is still congruent and similar.

3rd figure is both, congruent and similar which are both triangles.

4th figure is neither. There is a circle and an elipse, which are both round but different shapes.

By knowing the terms congruent and similar, you should have no problem in identifying geometric shapes and sizes.

Hope this helps. Happy learning!

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

Answer:

y=-3x^2+2x+201

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-a + 7b

Step-by-step explanation:

This problem is asking you to simplify the equation.

In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).

So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.

So all together we have -a + 7b.

Hope this helps you :)

[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]

[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]

[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]

[tex]\\ \sf\Rrightarrow -a+7b[/tex]

[tex]\\ \sf\Rrightarrow 7b-a[/tex]

Answer:

5.5

Step-by-step explanation:

11 divided by 2 is 5.5

Answer:

D. All if the choices , credit cars , banks and issuer banks

[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]

[tex]\text{Interval solution,} ~(-\infty, 4][/tex]

Answer:

=35

Step-by-step explanation:

3(3) ^2 + 2(4)

= 3(9) + 8

= 35

Where you see a, substitute with 3 and where you see b, substitute with 4

Just follow the steps above.

[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]

[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]

[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]

[tex]\\ \sf\Rrightarrow 27+8[/tex]

[tex]\\ \sf\Rrightarrow 35[/tex]

Answer:

7/16 of book

Step-by-step explanation:

1/8 book in 2 days means Lora reads 1/16 book every day

In 1 week (7 days), Lora reads 7 x 1/16 = 7/16

Answer:

The answer is I think the opened circled -> but I'm not 100% sure

Step-by-step explanation:

It is 103.68 degrees :)

Answer:

C

Step-by-step explanation:

Answer:

Perhaps 270 mm^2, if it is a box.

Step-by-step explanation:

What shape is this?  A box?

If a box:

There are 6 faces:

1.   2 ends:  7mm x 4mm  = 28 mm^2/end

2.  2 sides:  10mm x 7mm  = 70 mm^2/side

3.   top and bottom:  10mm x 4 mm = 40 mm^2/each

====

Totals:

1.    56 mm^2

2.  140 mm^2

3.   80 mm^2

Total  270 mm^2