What is the product?

(negative 3 s + 2 t)(4 s minus t)

negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared

Answers

Answer 1

Answer:

[tex] \boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} } [/tex]

Step-by-step explanation:

[tex] = > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2} [/tex]


Related Questions

The external angle of a regular polygon is 200 . How many sides does it have ? What is the measure of each interior angle? What is the total measure of its angles.

Answers

Answer:

An 18 sided shape.

Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon

Find the volume round to the nearest tenth ( show work)

Answers

Answer:

2,144.7

4 x pi x (radius x radius x radius / 3)

4 x pi = 12.5663706

8 x 8 x 8 / 3 = 170.66

12.5663706 x 170.67 =2,144.66 rounded is 2,144.7

Hope this helps

Step-by-step explanation:

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0​

Answers

Answer:

b=-a

Step-by-step explanation:

we know that b is located the same distance from 0 as another number, a, but in the opposite direction.

so the sum of the two numbers equal zero

a+b=0

a=-b or b=-a

AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с

Answers

Answer:

AC ≈ 2.18 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )

AC × tan70° = 6 ( divide both sides by tan70° )

AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )

The number of patients treated at Dr. White's dentist office each day for nine days
is 16, 13, 15, 6, 21, 20, 12, 9, 12. Find the mean, median, mode, and range of
the data. If necessary, round to the nearest tenth.
A 13.8, 13, 12, 15
B 13.8, 12, 13, 27
C 15.8, 13, 12, 27
D 13, 15.8, 12, 15

Answers

mode:12
mean:13.8
range:15
median:13

Answer:

mean= 16+13+15+6+21+20+12+9+12/9

=13.8

median= 13

mode= 12

range= 15

A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than
1/100
1/12
11/100
12/100

Answers

Answer:

1-100 cannot be more than 1 or 1 so the answer is 0/100

1-12 can be maximum 12/100

11/100 does not include 10 therefore 90/100

12/100 does not include 11 therefore 89/100

Step-by-step explanation:

1-100 cannot be more than 1 or 1 so the answer is 0/100

1-12 can be maximum 12/100

11/100 does not include 10 therefore 90/100

12/100 does not include 11 therefore 89/100

The mileages of cars in a fleet of cars are normally distributed with a mean mileage of 52,000 miles and a standard deviation of 2,000 miles. What is the probability of randomly selecting a car with a mileage less than 52,000 miles?

Answers

Answer:

50%

Step-by-step explanation:

We have that the mean is 52000 miles (m) and the standard deviation is 2000 miles (sd), so we are asked:

P (x <52000)

P ((x - m) / sd <(52000 -52000) /2)

P (z <0)

If we look in the normal distribution table we have to:

P (x <52000) = 0.5

That is, the probability is of randomly selecting a car with a mileage less than 52,000 miles 50%

Give the domain and range.

Answers

Answer:

D

Step-by-step explanation:

The domain is the x coordinates which are {-2,0,2}

Answer:

D = { -2, 0 2}

R = { -3,-1 ,1 }

Step-by-step explanation:

The domain is the input or x values

D = { -2, 0 2}

The range is the output or y values

R = { -3,-1 ,1 }

Determine the constant of variation for the direct variation given
2
1
1/2​

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Share £639 in the ratio 5:4

Answers

Answer:

The ratios are £355 and £284

Answer:

335: 284

Step-by-step explanation:

£639 in ratio 5:4

5+4 =9

639 / 9 = 71

71 × 5 = 355

71 ×285 =284

355:284

What are the ratio as a fraction for 4:6

Answers

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

or 4 over 6

i think this is right and i hope it helps:D

What addition expression is shown on the
number line?
8
+
?
15

Answers

can it possibly be -15?
It could be 23 im srry if im wrong

Which equation is equivalent to 2^4x = 8^x-3?

Answers

Answer:

x=-3

Step-by-step explanation:

2^4x = 8^x-3

writing 8 as 2^3

2^4x = 2^3^x-3

We know a^b^c = a^(b*c)

2^4x = 2^(2*(x-3))

2^4x = 2^(2x-6)

The bases are the same so the exponents are the same

4x = 2x-6

Subtract 2x from each side

4x-2x= 2x-6-2x

2x=- 6

Divide by 2

2x/2 = -6/2

x = -3

What is the surface area of the prism, in square centimeters?

Answers

Answer:

1/2 x 6 x 4 x 10 = 120

Step-by-step explanation:

area of triangle x extended length

please help with this question

Answers

Answer:

loose sweets

Step-by-step explanation:

Let's find the price of the pre-packed and loose candy per gram, since they specified that you need to calculate the price per gram.

A better value would mean that the price is lower per gram.

pre-packed candies

120g ----- £1.49

1 ----- 1.49 ÷120= £0.0124 (3 s.f.)

loose sweets

100g ----- £0.89

1g ----- £0.89 ÷100= £0.0089

since £0.0089 < £0.0124, the loose sweets cost lesser per gram and thus is a better value.

~ Loose sweets

~ 1.49 / 120 = £0.0124

~ 89p /100 = £0.0089

£0.0089 is less than £0.0124

What is the midpoint of the vertical line segment graphed below?

Answers

Answer:

C.

Step-by-step explanation:

(5+5)/2 = 5, (4 + -5)/2 = -1/2

(5, -1/2)

TFW when you realize you answered two years too late...

Can anybody tell me the answer to this question in the picture?

Answers

Answer:

Option 2

Step-by-step explanation:

Group 2 does have a greater median. And group 1 is less spread out

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

To find DC

c²=a²+b² (pythagorean theory)

c²=6²+8²

c²=36+64. c²=100. √100. c=10cm

thus D =10.

AD= 15-6=9

To find AC

c²=a²+b²

c²=15²+8²

c²=225+64. c²=289 √289. c=17

AC=17

perimeter is the distance around a figure thus ADC=9+10+17

=36

Please check this for me i just learned scientific notation

Answers

Answer:

[tex]2.6373 \times 10^4[/tex]

Step-by-step explanation:

The starting number must always be in the ones' place, it cannot be in the tens place. And it must be between 1 and 10.

Answer:you are correct on all ur scientific questions:D

Step-by-step explanation:

So let’s see if ur correct

2(8-5)^2=18 (correct)

2*3^2

2*3*3

18

26.373*10^3=26,373(correct)

26.373*10*10*10

26,373

4^8*4^4= 16777216

4^12= 16777216(Correct)

Which of the following are perfect squares? Check all that apply.
A.) 16
B.) 64
C.) 15
D.) 49
E.) 11
F.) 62

Answers

Answer:

The answers are A, B and D


A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 4.5 feet, and a height of 6 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

The volume of the right rectangular prism is 12* 8.5 * 4 = 408  content density is 0.25 pounds

Step-by-step explanation:

Please Help!!!! Braniest will be given!!!!
Find the slope of the line through the given points.
(-3,6) and (1,2)

Answers

Answer:

m= -1

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-6}{1-[-3]}\\\\=\frac{-4}{1+3}\\\\=\frac{-4}{4}\\\\=-1[/tex]

Find the mystery number from the following clues. • It is a two-digit number. • It is a factor of 48. • It is a multiple of 6. • The sum of the digits is 3.

Answers

Answer:

It might be 24 but probaly not.

Step-by-step explanation:

It is the first 3 , but am not sure about the last one.

Which is greater 15/27 or 16/24

Answers

Answer:

16/24

Step-by-step explanation:

let’s use the GCF of both which is 3 for 15/27

15/27 divided by 3 is 5/9

for 16/24 the gcf is 8

16/24 / 8 is 2/3

now we have to multiply 2/3 times 3

2/3 times 3 6/3 which is 2

so 16/24 is greater.

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?
A. It is a function because at any given time the oven was exactly one temperature.
B. It is a function because the oven temperature was the same at different times.
C. It is not a function because at any given time the oven was exactly one
temperature.
D. It is not a function because the oven temperature was the same at different
times.

Answers

Answer:

i think its B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A function cannot have an x-value that produces more than y-value.

We can assume that the time is x, and the temperature is y.

At any time, you do not have more than one temperature.

Help please! Will give brainly! How are these patterns similar? How are they different? How are the number of dots in each pattern changing? How would you find the number of dots in the 5th step in each pattern?

Answers

these patterns are similar because in both the number of dots are increasing. they are different because the pattern in the first one is adding 2 each step, while in the second one you are taking the starting amount, multiplying it by 2 then adding 1. to find the number of dots for step 5 you would add 2 in the first pattern, in the second pattern multiply by 2 add 1.

Ann increased the quantities of all the ingredients in a recipe by 60% She used 80 grams (g) of cheese How much cheese did the recipe require?

Answers

Answer:g = 50 g

Step-by-step explanation:

She used 60% more than required ⇒ she used (1+0.60)=1.60 times what was required.

x = grams required by the recipe

80 g = 1.60x

x = (80/1.60) g = 50 g

Find the value of x from this question

Answers

Answer:

45 degrees

Method: Parallel

45 so that the x could be the y and 45

HELP ME OUT ON THIS ONE ‘

Answers

Answer:

180 degrees rotation

Step-by-step explanation:

you take the. values of the object and multiply by -1 to obtain the values of the image

What are the coordinates of the y-intercept of the equation 5x - 3y = 2?
A:(0, 2/5)

B:(0, 5/3)

C:(0,-2/5)

D:(0,3/5)

E:(0, -2/3)

Answers

Answer:

E

Step-by-step explanation:

The answer is E Because I just answer the question
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