Factor the trinomial:
3x2 + 13x + 12

Answer:

Not sure but that's my answer

Answer:

Minti - 12 days

Minti & Rinki - 8 days

Use Formula 3

time= (12 * 8) / (12 -8)

time = 96 / 4

time for Rinki alone = 24 Days

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Rinki alone for 4 days will leave 20 days of work to be done.

Step-by-step explanation:

Answer:

a. 1/2

b. 512

c. 1024

Step-by-step explanation:

The nth term of a geometric progression can be written as;

Tn = ar^n-1

where a is the first term, r is the common ratio and n is the term number

From the question;

Fifth term = ar^4 = 32

Eight term = ar^7 = 4

a. We want to find the common ratio

What to do here is that we can divide the 8th by the 5th term

ar^7/ar^4 = 4/32

r^3 = 1/8

r^3 = (1/2)^3

Thus r = 1/2

b. First term

we can make a substitution in any of the two given terms

Let’s use the fifth term

ar^4 = 32

a * (1/2)^4 = 32

a * 1/16 = 32

a = 16 * 32

a = 512

C. Sum of the first 50 terms

To calculate this, we use the sum of terms formula

Sn = a(1- r^n)/1-r

a = 512 , n = 50 and r = 1/2

Making the substitution;

Sn = 512(1-(1/2)^50)/1-1/2

Kindly note that (1/2)^50 will be infinitesimally small and will be close to zero

So we can approximate (1/2)^50 to be zero

Hence;

Sn = 512(1-0)/0.5

Sn = 512/0.5

Sn = 1024

Answer:

3/4

Step-by-step explanation:

3/5(1+p)-21/20

3/5+3/5p=21/20

3/5p=21/20-3/5

3/5p=21/20-12/20

3/5p=9/20

p=9/20÷3/5

p=9/20*5/3

p=45/60

p=3/4

Answer:

(5-5)

Step-by-step explanation:

hope this helped

Answer:Not correct

Step-by-step explanation:

Answer:

38/3

Step-by-step explanation:

3/2a-8=11      

3/2a=19     add 8 to each side

i forget the rest of the steps smh

Answer:

38/3

Step-by-step explanation:

3/2A-8=11

3A/2=11+8

3A/2=19 CROSS MULTIPLY

3A=38

A=38/3

Answer:

59/50

Step-by-step explanation:

118/100 divided by 2/2

=59/50

The teacher spend some amount on buying costumes and microphones for 6 cast members.

GiveN:

Let's frame the equation. Total money is the total amount spent for 6 cast members.

Money spent on costumes = $38 × 6

Money spent on microphone = $c × 6

Equation:

[tex]6 \times 38 + 6 \times c = 354[/tex]

Taking 6 as common,

[tex]6(38 + c) = 354[/tex]

Dividing 6 from both sides,

[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]

[tex]38 + c = 59[/tex]

Solving further,

[tex]38 + c - 38 = 59 - 38[/tex]

[tex]c = 21[/tex]

So, the cost of each microphone = $21

The teacher spent this much on each microphone.

#CarryOnLearning

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The teacher spent  $21 on each microphone.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total amount of teachers have = $354

Cost of costume for all 6 members ;

6 × 38 = $228

Cost of microphone for all 6 members ;

6 × c = 6c

Now,

Cost of microphone  + Cost of costume =  total amount

6c + 228 = 354

6c = 126

c = 21

Hence "The teacher spent  $21 on each microphone".

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Answer:

It would be 11:09

Answer:

11:09

Step-by-step explanation:

30 mins after 9:30 is 10pm,add an hour that's 11 pm plus the 9 additional minutes its 11:09

Answer:

  y = 10 -2x; 10 is the length of the trail

Step-by-step explanation:

Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:

  y = -2x +10

The y-intercept is the length of the trail.

Answer:  Distributive property

Answer:

x = 10

Step-by-step explanation:

3(3x - 4) = -2(1 - 4x)

9x - 12 = -2 + 8x

9x - 8x = -2 + 12

x = 10

Hope this helps!

Step-by-step explanation:

Hey there!!

Here,

[tex]5(1 - b) = 8(b + 2)[/tex]

[tex] \: \: \: \: \: 5 - 5b = 8b + 16[/tex]

[tex] \: \: \: \: \: \: \: 8b + 5b = 5 - 16[/tex]

[tex] \: \: \: \: \: \: \: 13b = - 11[/tex]

[tex] \: \: \: \: \: \: \: b = \frac{ - 11}{13} [/tex]

Therefore the value of b is -11/13.

Hope it helps...

Step-by-step explanation:

first open up the brackets according to BODMAS to get

5-5b=8b+16

then collect like terms together and make sure to change the sighns eg - becomes +

5-16=8b+5b

you get

-11=13b

then divide both sides with 13 to get b

-11/13=b ( you can leave as a negative decimal according to the question)

Answer:

about 2,546

Step-by-step explanation:

Answer:

f ^−1(x)=x/12+1/2

Step-by-step explanation:

We know that 6x(-7) is -42 and we also know that 6+(-7) is -1.

So we can write

[tex]x^2+6x-7x-42[/tex]

[tex]x(x+6)-7(x+6)[/tex]

[tex](x-7)(x+6)[/tex]

So our solutions are [tex]x=7,-6[/tex]

It is irrational.

π is an irrational number.

It follows that -2π is also irrational number.

Answer:

x= -1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

3x+2(x-9)=8x+x-14 ;; equation

simplify the equation to the form

3x+2(x-9)=8x+x-14

reorder the terms in parentheses

3x+(+2x-18)=8x+x-14

remove unnecessary parentheses

+3x+2x-18=+8x+x-14

move all terms containing x to the left and all other terms to the right.

+3x+2x-8x-1x=-14+18

simplify left and right side of the equation.

-4x=+4

divide both sides of the equation by -4 to get x.

x=-1

Answer:

X=4-y

2(4-y)+4y=12

8-2y+4y=12

2y=12-8

2y=4

y=4/2

y=2

x=4-y

x=4-2

x=2

His function is linear because it graphs out a straight line. If you were to pick any two points on that line, and find the slope, you should find that the slope is the same no matter which two points you picked.

Answer:

linear

Step-by-step explanation:

there's a constant rate of change/constant slope and the function is a straight line

Answer:

x= - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

- 6x + 9 - 4x = 14, that is

- 10x + 9 = 14 ( subtract 9 from both sides )

- 10x = 5 ( divide both sides by - 10 )

x = [tex]\frac{5}{-10}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

weird

Step-by-step explanation:

Answer:

-62570000

Step-by-step explanation:

6.257× -10000000

-62570000

Answer:

D. Malleability because he is most likely going to show how you can easily roll pizza dough

Step-by-step explanation:

Answer:

malleability or D

Step-by-step explanation:

Answer:

let M(-3,-4) be (x1, Y1)

    T(5,0) be (x2,y2)

m:n = 2 : 3

using section formula

Q(x,y) =  {mx2 + nx1/(m+n), my2 + ny1/(m+n)}

        { ( 10 -9)/5, (0 -12)/5}

         (1/5, -12/5)

This could be answer if internally

Answer:

8.21 x 102

Step-by-step explanation:

cus thats the answer

Answer:

Ross is correct. He is right because if you do 11- (-2) the double negatives turn into a positive and the answer is 13.

The answer is "Yes", Ross is right, and the temperature change will be 13 °F.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the mentioned data in the question,

The afternoon temperature in Biscoff Bay = -2 °F

The temperature rose at midnight = 11 °F

Then, the change in temperature will be,

It is changing from -2 °F to 11 °F then,

= 11 - (-2) = 13 °F

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Answer:

the unit rate is 1/4 every 4 ounces

Step-by-step explanation:

12/3=4          3/3=1 so 1/4 of a cup every 4 ounces.