4. basically just multiplied both of them by 2.
What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.
By the binomial theorem,
(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴
(1 + 2x)³ = 1 + 6x + 12x² + 8x³
In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying
• x⁴ and 1 to get x⁴;
• 4x³ and 6x to get 24x⁴;
• 6x² and 12x² to get 72x⁴; and
• 4x and 8x³ to get 32x⁴.
Add these up:
x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴
At the baseball game, the Gregory's bought 5 hot dogs and 2 hamburgers and paid $27.00. The Hart's purchases 3 hot dogs and 4 hamburgers and paid $29.50. How much does 1 hot dog cost?
Answer:
1 hot dog costs $3.50
Step-by-step explanation:
Represent Hot dog with x and Hamburger with y
Gregory's purchase:
[tex]5x + 2y = 27[/tex] --- (1)
Hart's purchase:
[tex]3x + 4y = 29.5[/tex] ---- (2)
Required
Find x
To do this, we'll make use of the elimination method of solving simultaneous equation.
Start by multiplying (1) by 2
2 * ([tex]5x + 2y = 27[/tex])
This gives:
[tex]10x + 4y = 54[/tex] ---- (3)
Subtract (2) from (3)
[tex]10x + 4y = 54[/tex]
- ([tex]3x + 4y = 29.5[/tex])
-------------------------
[tex]7x = 24.5[/tex]
Solve for x
[tex]x = \frac{24.5}{7}[/tex]
[tex]x = 3.5[/tex]
Hence:
1 hot dog costs $3.50
On a piece of paper, graph yz-2x-2. Then determine which answer choice
matches the graph you drew.
A
B
с
5
(-2,2)
(-2,2)
(-2,2)
(-2,2)
-5
0.-23
0.-27
(0.25
0.-235
-5
A. Graph D
B. Graph B
O C. Graph A
D. Graph C
Answer:B
Step-by-step explanation:
Option B is correct, the inequality y≥-2x-2 is represented in the second graph or graph B.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given inequality is y≥-2x-2
y greater than or equal to minus two times of x minus two.
y≥-2x-2
The line passes through the points (-2, 2) and (0, -2).
As there is given greater than or equal to the line should be solid not dotted.
Greater than or equal to means we have to shade away from the origin.
The second graph satisfy all these properties.
y≥-2x-2 is represented in the second graph.
Hence, the inequality y≥-2x-2 is represented in the second graph.
To learn more on Graph click:
https://brainly.com/question/17267403
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Can someone rewrite the following equation into slope-intercept form ?
6x-7y=3
Is the relation a function? If it is a function state the domain and range of not circle the part the causes it to not be a function (1,-2),(-1,2),(-2,4),(1,3)
Answer:
No it is not a function because it does not pass the Vertical Line Test. The points that make it not a function are (1,3) and (1,-2) since they are both on the same x-coordinate.
Step-by-step explanation:
Jamie deposits $627 into a savings account. The account has an interest rate of 3.5%, compounded quarterly
Answer:
is this all the question? Im sorry I don't see the rest
Step-by-step explanation:
I will give brainliest to the best answer.
A random two digit number (10-99) is drawn. Find each probability
1. p(32)
2. p(odd number)
3. p(a multiple of 5)
My teacher gave an assignment on this and didn't even teach how to do it.
Given that two digit numbers are used and one digit is drawn randomly.
Sample space = {10,11,...99}
n(S) = 90
32 is only one number favorable
Hence P(32) = 1/90
----------------------------
Odd numbers are exactly 45.
Hence prob (odd number) = 45/90 = 1/2
-------------------------------------
Multiples of 5 are 10,15,.....95
There are exactly 18 numbers.
Hence P(a multiple of 5) = 18/90 =1/5
Have an amazing day! <3
Jada's house is 3 and 2/5 miles from the library. Solve the equation to determine how long it will take her to walk from her house to the library if she walks at a steady speed of 4 miles per hour.
Time = distance / speed
Time = 3 2/5 miles / 4 miles per hour
Time = 17/5 / 4
Time = 17/5 x 1/4 = 17 x 1 / 5 x 4 = 17/20 hours
17/20 hours x 60 minutes per hour = 51 minutes.
In an aquarium, there are 3 red, 6 yellow, 4 white and 2 black fish. Find the ratio of the: a) Number of yellow fish to the number of white fish. b) Number of black fish to the total number of fish. c) Number of red fish to the number of black fish.
Answer:
a. 3 : 2
b. 2 : 15
c. 3 : 2
Step-by-step explanation:
Red fish = 3
Yellow fish = 6
White fish = 4
Black fish = 2
Total number of fishes = 15
a) Ratio of the Number of yellow fish to the number of white fish.
Yellow fish : White fish
6 : 4
= 6 /4
= 3/2
= 3 : 2
Ratio of the Number of yellow fish to the number of white fish = 3 : 2
b) Ratio of the Number of black fish to the total number of fish
Black fish : Total fish
2 : 15
= 2 / 15
= 2 : 15
Ratio of the Number of black fish to the total number of fish = 2 : 15
c) Ratio of the Number of red fish to the number of black fish
Red fish : black fish
= 3 : 2
= 3/2
= 3 : 2
Ratio of the Number of red fish to the number of black fish = 3 : 2
Why is 2020 edge so hard and annoying here is 14 points
Answer:
ty
Step-by-step explanation:
thanks for points have a good day sir
Answer:
ik right ughh
Step-by-step explanation:
which point lies on the point of the equation 9y-4x=18
Answer:
3-5 One line passes through the points (0, -4) and (-1 ... Write the equations in slope intercept form and then ... -2x = 9y-18? Dlugo a. ... Cy= - 4x + 13 Dy= 4r + 23.
Step-by-step explanation:
NOOOOOOOOOOOOOOOOOOOOOO NEED
Answer:
(0, 2)
(9, 6)
Step-by-step explanation:
slope intercept form y = mx + b:
9y - 4x = 18 ===> y = 4/9x + 2
Pick any point for x to get y:
If x = 0, then y = 2
If x = 9, then y = 6
above are just two of many but you should get the idea
HELP PLEASE!
which expressions are equivalent to square root 1,120y^3
Answer:
the answer would be 2 * 2 * y √2 * 5* 7 * y
Step-by-step explanation:
Which is the quotient of 17. 51 +3.4?
O A. 5.07
O B. 5.15
OC. 5.21
D. 5.25 HELP THIS ENDS IN 10 MINUTES
Answer:
5.15
Step-by-step explanation:
17.51 / 3.4 = 5.15
Answer and Explanation
5.15 or [tex]\frac{17.51}{3.4}[/tex]__________________________________________________________
We can prove this is the answer by dividing both numbers.
__________________________________________________________
[tex]17.51[/tex] = [tex]\frac{1751}{100}[/tex]
[tex]3.4[/tex] = [tex]\frac{17}{5}[/tex] = [tex]3\ \frac{2}{5}[/tex]
__________________________________________________________
[tex]\frac{1751}{100}[/tex] [tex]\div[/tex] [tex]\frac{17}{5}[/tex] = [tex]?[/tex]
[tex]\frac{17.51}{3.4}[/tex] [tex]or[/tex] [tex]5.15[/tex]__________________________________________________________
So, that means the answer is [tex]5.15[/tex]
__________________________________________________________
Hope this helps! <3
__________________________________________________________
In Heavenly Hash ice cream, the ratio of the amount of cashews to the amount of marshmallows to the amount of chocolate ice cream is 1 : 3 : 36 by volume .
What is the ratio of the amount of marshmallows to ice cream?
Answer:
90%
Step-by-step explanation:
The ice cream is 1 part cashew, 3 parts marshmallow, and 36 parts chocolate ice cream. That's a total of 40 parts. So the fraction that is chocolate ice cream is:
36/40 = 0.9
So 90% of Heavenly Hash ice cream is chocolate ice cream.
3 - 7x plus 2x when x =3
Answer:
-12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3 - 7x + 2x
x = 3
Step 2: Evaluate
Substitute in x: 3 - 7(3) + 2(3)Multiply: 3 - 21 + 6Subtract: -18 + 6Add: -12Answer:
if x is 3 then
3-7(3)+2(3)
-18+6
-12 done
Factorize completely 25x^2-90x+81
Answer:
Factor using the perfect square rule.
( 5 x + 9 ) ^2
HOPE THIS HELPS!!!
Step-by-step explanation:
OPEN PERENTHESIS FIVE X PLUS NINE CLOSED PERENTHESIS TO THE SECOND POWER
Gabrielle is 8 years older than Mikhail. The sum of their ages is 58. What is Mikhail's age?
Answer:
Mikhail is 50 old why because Gabrielle and they said the sum of their age is 58 so that mean Mikhail is older 58-8=50
Step-by-step explanation:
Mr. Smith earns $375 per week as a salary plus he earns a 4% commission. If his total sales were $4,200, how much will he earn this week?
Answer:
$4,575
Step-by-step explanation:
Write the equation for the line can somebody help me and show me how to do it
(NOTE: many questions may ask you to put the equation in a certain format. This answer is assuming you can put it in slope-intercept form.)
Answer:
y= -3x-3
Step-by-step explanation:
1) A handy way to write an equation from a graph is to use the slope-intercept form: y = mx + b. In this format, the "m" represents the slope - or the measure of the steepness of the graph (we'll get more into this in the next step). The "b" represent the y-intercept, or where the point in which the graph hits the y-axis. If you know what the slope and y-intercept is, it is very easy to create an equation!
2) So let's find the slope first. The slope of an equation is represented by [tex]\frac{rise}{run}[/tex] , or the change in the y from each point, going up or down, divided by the change of x, going from left to right. So, knowing this, we can take two points we see the line hit and count the change from the x and y values.
Let's take the points (-1,0) and (0,-3). To find the rise, or the change in y, start from (-1,0) and count how many units it would take vertically to get to (0,-3). If you went down, then be sure to add a negative to the number of units you counted. To find the run, or change in x, do the same and count how many steps it would take horizontally to get to (0,-3) too. If you went left, then be sure to add a negative to the number of units you counted. So, if you did it correctly, you would get -3 as your rise and 1 as your run. Using the [tex]\frac{rise}{run}[/tex] equation, divide -3 by 1 and your slope is -3.3) Now, let's find the y-intercept. This part is much easier: just look at the graph and find the point where the line hits the y-axis. In this case, it's (0,-3).
4) All you have to do now is plug the slope and y-intercept we found into y = mx + b. So, put the slope in the "m" place and remember to put the y-value of the y-intercept into the "b" place.
This should get you y= -3x - 3 as your answer!
Gridded Response A basketball team scored 8 points more in its second game
than in its first. In its third game, the team scored 42 points. The total number of
points scored in the three games was more than 150. What is the least number of
points the team might have scored in its second game?
I need help!!!!
Answer:
51 points
Step-by-step explanation:
x+x+8+42>150
2x+50>150
2x>100
x>50
So, the least number is 51 which satisfies the inequality
Hope this helps plz hit the crown :D
Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The new length is 4 inches. What is its new width?
Answer:
The new width = 2 inches
Step-by-step explanation:
Original dimensions of the rectangular photo:
Length : width = 8 inches : 4 inches
Reduced dimensions of the rectangular photo:
Let
x = the new width
Length : width = 4 inches : x inches
Equate both dimensions to get the value of x
Length : width
8 inches : 4 inches = 4 inches : x inches
8 / 4 = 4 / x
Cross product
8 * x = 4 * 4
8x = 16
x = 16/8
x = 2 inches
The new width = 2 inches
WHAT IS 0-0 NEED HELP ASAPPPPP ROCKEY PLS WILL MAKR BRAINLIEST
Answer: its 0 right or is it supposed to be a face or sumthin
Step-by-step explanation:
Solve for x!!! Help please this is urgent!!!
Answer:
46.6
Step-by-step explanation:
[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]
Charlie's bill at the diner was $18.75. He left a tip of $3.40. What percentage of a tip did he leave? (Round to the nearest whole number) *
whoever answers this first gets 16 points and a brainliest
Answer:
18.1333%
Step-by-step explanation:
I THINK this is the answer,
A package of poster board usually sells for $8.40. This week the package is on sale for $6.30. What is the percent of discount?
A.
25%
B.
33.3%
C.
15%
D.
21%
Answer:
A. 25%
Step-by-step explanation:
[tex](8.40-6.30)/8.40[/tex][tex]2.10/8.40[/tex][tex]1/4[/tex][tex]0.25[/tex]?? Need help asp what the answer
Answer:
https://brainly.com/question/11858927
Step-by-step explanation:
Use that Link ;)
Geometry help, ie: linear, exponential, discrete, continuous
Answer:
Exponentail and Continuous
Step-by-step explanation:
Esponentail because the graph is going up by 3 times the pevous making the line curved, and Continuous because time continuses to pass through the hours. (although if it is only looking at the point on the hour it is descrete).
These tables of values represent continuous functions. In which table do the
values represent an exponential function?
A
X
1
2.
3
4
5
y
4
12
36
108
324 B X 1
2
3
4
5
у
9
10
11
12
13. C
X
1
2
3
4
5 7 28
49
70
91
D X 1 2 3
4
5 y 4
12
20
28. 36.
Answer: A
Step-by-step explanation:
All of the other tables increase steadily. Table A is the only one where the y value increases by a multiplication factor.
Table B increases by 1 each time.
Table C increases by 21 each time.
Table D increases by 8 each time.
What is the value of Arc cosine (sine (StartFraction 5 pi Over 4 EndFraction) )?
StartFraction 3 pi Over 4 EndFraction
StartFraction 5 pi Over 6 EndFraction
StartFraction 7 pi Over 6 EndFraction
StartFraction 5 pi Over 4 EndFraction
Answer:
3 pi over 4
Step-by-step explanation:
Answer:
guy above me is right
Step-by-step explanation:
The Martinez family spent 28% of its monthly income for housing. If the family’s monthly income is $3,200, how much did they spend for housing?
Answer:.
Step-by-step explanation: