factorise the following by grouping pairs (1) a2_9a+3a_27​

Answer:

V=?

S=400m

t=80s

V=S/t

V=400/80

V=5m/sec

Step-by-step explanation:

Answer:

(0, -6) and (8, 0)

[tex]\dfrac{4}{3}[/tex]

[tex]y=\dfrac{3}{4}-6[/tex]

Step-by-step explanation:

(a) [tex]3x-4y=24[/tex]

Let [tex]x=0[/tex]

[tex]0-4y=24\\\Rightarrow y=-6[/tex]

Let [tex]y=0[/tex]

[tex]3x-0=24\\\Rightarrow x=8[/tex]

Two coordinates are (0, -6) and (8, 0)

(b) Slope is given by

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\Rightarrow m=\dfrac{0-(-6)}{8-0}\\\Rightarrow m=\dfrac{3}{4}[/tex]

The slope of the equation is [tex]\dfrac{4}{3}[/tex]

(c)

[tex]3x-4y=24\\\Rightarrow 4y=3x-24\\\Rightarrow y=\dfrac{3}{4}-6[/tex]

The slope intercept form of the equation is [tex]y=\dfrac{3}{4}-6[/tex]

Answer:

Option A is correct

Step-by-step explanation:

Speed of truck = 55 miles/hour

Time taken = 3.25 hours

Distance = Speed × Time

[tex]=55[/tex] × 3.25

[tex]=178.75[/tex]

But truck driver has to make a delivery at  a location that is 230.2 miles away.

Distance left to be covered by a truck driver = [tex]230.2-178.75=51.45[/tex] miles

So,

Yes, if the truck driver  continues at the same speed, she will make it to the location in the next  hour such that she only has 51.45 miles to go.

Option A is correct

We want to see if the truck driver has enough speed to reach the destination or not. The correct option is A "Yes, she only has 51.45 miles to go."

So we know that she needs to travel a total distance of 230.2 miles.

Now, remember the relation:

Speed*time = distance.

And she travels at an average speed of 55 miles per hour for 3.25 hours, so she traveled a distance of:

(55 mi/h)*3.25 h = 178.75 mi

Then the remaining distance is just:

230.2 mi - 178.75 mi = 51.45 mi

Will she make it in the next hour?

Well, yes, she travels at 55 miles per hour and she has 51.45 miles remaining, so yes, she will make it.

The correct option is A: "Yes, she only has 51.45 miles to go."

If you want to learn more about speed, you can read:

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Answer:

All of the above

Step-by-step explanation:

Also, this is a history, not a maths problem

Option B is correct.

We have the two equations -

[tex]y= 2x^{2}[/tex]

[tex]y=2x^{2} +7[/tex]

We have determine how are these functions related and how are their graphs related.

A parabola is represented by the equation y = [tex]$x^{2}[/tex].

According to the question, we have -

[tex]y= f(x) = 2x^{2}[/tex]

[tex]y=g(x)=2x^{2} +7[/tex]

Refer to the image attached for graphs.

Now -

g(x) - f(x) = [tex]2x^{2} +7-2x^{2}[/tex] = 7

Therefore -  Each output for y = g(x) is greater than the corresponding output of y = f(x).

From the graph it is clear that the graph of y = g(x) is the graph of

y = f(x) translated up 7 units.

Hence, Option B is correct.

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Answer:

- 6

Step-by-step explanation:

Step 1:

- ( 5z + 12 ) = 18     Equation

Step 2:

- 5z - 12 = 18      Open Parenthises

Step 3:

- 5z = 30     Add 12 on both sides

Step 4:

z = 30 ÷ - 5     Divide

Answer:

z = - 6

Hope This Helps :)

Answer: z = -6

Step-by-step explanation:

Hi there! I will be showing you how to solve the given equation. If you have any questions feel free to comment it down below.

Step 1: Remove parentheses.

-5z - 12 = 18

Step 2: Add 12 to both sides.

-5z = 18 + 12

Step 3: Simplify 18 + 12 to 30.

-5z = 30

Step 4: Divide both sides by -5.

z = [tex]-\frac{30}{5}[/tex]

Step 5: Simplify [tex]\frac{30}{5}[/tex] to 6.

z = -6

I hope I helped you :)

Answer:

the image is blurry

Step-by-step explanation:

sorry but the image is not full visible because it is blurry:(

Answer:

LM=7

Step-by-step explanation:

Let me know if its right;)

wait oops i answered by accident now i cant delete it

Answer:

$-36

Step-by-step explanation:

-42+6

-36

Answer:

B. y - 2 = 1/3(x - 3)

Answer:

B.

Explanation:

If you actually do the math you get B

Answer:

11

Step-by-step explanation:

11x11

Answer:

Step-by-step explanation:

Last one

Answer:

1/3

Step-by-step explanation:

P(green) = green marbles / total marbles

3 green marbles

9 total marbles

P( green) = 3/9 = 1/3

Answer:

480 bagels

Step-by-step explanation:

We can use a ratio to solve

200 bagels          x bagels

------------------ = --------------

10 hours          24 hours

200 * 24 = 10x

Divide each side by 10

200 * 24/10 = 10x/10

480 =x

Answer:

480

Step-by-step explanation:

Answer:

88$ for 3 months

Step-by-step explanation:

85 plus 77 plus 72 = 234

322-234=88$

Answer:

-2

Step-by-step explanation:

hi! to find f(-3) on this graph, go to the x-value -3 and find the y-value there. when we look at -3 on the x-axis, we go down and see that there is a point at (-3,-2). therefore, f(-3)=-2.

Answer:

To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.

1.2 / 1.5 = 0.8

0.96 / 1.2 = 0.8

0.768 / 0.96 = 0.8

.

Decimal form = 0.8

Fraction form = 4/5

.

Check:

1.5 x 0.8 = 1.2

1.5 x 4/5 = 6/5 = 1 1/5 = 1.2

Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.

Answer:

It Is 0.8

Step-by-step explanation:

I took the quiz

Answer:

C=5+0.25m

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

6(-8)/-12 -1

Multiply.

-48/-12=4

Divide.

4-1=3

Subtract.

Answer:

3

Step-by-step explanation:

6(-8)/-12 -1

Now, multiply

-48/-12=4

Now, divide.

4-1=3

and your last step should be subtracting.

Answer:

x = 0

Step-by-step explanation:

First, distribute the -2 to the parentheses:

-14 - 8x = -2(-3x + 7)

-14 - 8x = 6x - 14

Add 14 to both sides:

-8x = 6x

Subtract 6x from both sides:

-14x = 0

Divide each side by -14:

x = 0

So, x = 0

Answer:

0

Step-by-step explanation:

-14-8x=6x-14(cancel equal terms)

-8x=6x(move the variable to the left)

-8x-6x=0(collect like terms)

-14x=0Divide both sides)

x=0

Answer:

5/6

Step-by-step explanation:

7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9

5/6 is greater than 7/9

A common fraction is a numeral which represents a rational number. For example 2/3

Given here, 7/9 and  5/6 now 7/9 = 0.777 and 5/6= 0.833

Thus clearly 5/6 >7/9

Hence, 5/6 is greater than 7/9

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Answer:

d-1+e=j

Step-by-step explanation:

d+7-8+e=j

subtract the like terms.

7-8=-1

d-1+e=j

Hope this helps.

Answer:

34

Step-by-step explanation:

10+2=12

12 on both sides=24

5 on both sides=10

10+24=34

The perimeter of the rectangle is 34 for the given sides.

The rectangle is defined as a quadrilateral having four sides and the angle suspended by all the sides is equal to 360 degrees. The perimeter is the sum of all the sides of the rectangle.

Given that the two sides of the rectangle are 5 and x + 2. The value of x is 10.

The perimeter of the rectangle will be calculated as:-

L = 10+2=12

12 on both sides=24

5 on both sides=10

Perimeter = 10+24=34

Therefore, the perimeter of the rectangle is 34 for the given sides.

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Answer:

3

Step-by-step explanation:

b= 2 [tex]\frac{A}{Hb}\\[/tex] =   2 · [tex]\frac{12}{8}[/tex] = 3

Answer:

base= 3

Step-by-step explanation:

You need to work backwards to solve this problem

A= 1/2bh

with the information given, the equation should look like this:

12= 1/2b8

To get rid of the fraction, you flip it, and you multiply both sides by that (1/2 fliped is 2)

so  2* 12= 1/2b8 *2

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

** You can see that the 1/2 and the two cancel each other out. This is why:

1/2* 2/1= 2/2

2/2=1

1 * b8 is just b8

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

So now you have:

24= b8

you want to get b by itself, so you use inverse operations ( you divide both sides by 8)

24/8= b8/8

your final answer is 3=b

you can plug in 3 into the original equation to check your answer!!!

Answer:

h=a/b and the sencond one is 5ft

Step-by-step explanation:

1. isolate the varibles by dividing each side by factors that dont conatin the varible.

2. do 45 divied by 9.

Answer:

5.6

Step-by-step explanation:

Sheryl got the following scores on her spelling tests.

95, 89, 99, 85, 82

Mean = sum of all observations/ Number of observations

Sum of all observations [tex]=95+89+99+85+82=450[/tex]

Number of observations = 5

So,

Mean [tex]=\frac{450}{5}=90[/tex]

Let M denotes the mean

Mean absolute deviation [tex]=\frac{\sum_{i=1}^{n}\left | x_i-M \right |}{n}[/tex]

Put [tex]n=5[/tex]

So,

Mean absolute deviation [tex]=\frac{\sum_{i=1}^{5}\left | x_i-M \right |}{5}=\frac{|95-90|+|89-90|+|99-90|+|85-90|+|82-90|}{5}=\frac{5+1+9+5+8}{5} =\frac{28}{5}=5.6[/tex]

Answer:

5.6

Step-by-step explanation:

Answer:

W=4

Step-by-step explanation:

Answer:

a) the domain is the set of all real numbers

Step-by-step explanation:

Given:

An exponential function and its graph.

A line parallel to [tex]x[/tex] axis is drawn at [tex]y=-9[/tex] which is a dashed line.

Dashed line means, the function does not attain a value equal to [tex]y=-9[/tex].

Domain of a function, [tex]y=f(x)[/tex] is the set of values which can be possible for the variable [tex]x[/tex] that can be given as input.

Range of a function, [tex]y=f(x)[/tex] is the set of possible values of [tex]y[/tex] i.e. the output of the function.

As seen from the graph, the domain of the exponential function does not have any constraint on it.

Therefore, any real number can be given as input.

So, a) The domain is the set of all real numbers.

Let us discuss about the range of function.

As stated above as well, the range of the function can not contain the value [tex]y=-9[/tex].

And there is no value possible below it.

So, the range is all real numbers greater than -9.

The answer is:

"a) the domain is the set of all real numbers"  is true.