Answer:
x^4 - 16x^3 + 96x^2 -256x + 256
Step-by-step explanation:
The coefficients of this using the pascal triangle is ;
1 4 6 4 1
Thus, we have that;
1(x^4•(-4)^0) + 4(x^3)(-4)^1 + 6(x^2)(-4^2) + 4(x^1)(-4)^3 + 1(x^0)(-4)^4
= x^4 - 16x^3 + 96x^2 -256x + 256
Teammates Pedro and Ricky got 2679 base hits last season. Pedro had 281 more hits than Ricky.
How many hits did each player have?
9514 1404 393
Answer:
Pedro: 1480Ricky: 1199Step-by-step explanation:
Let r represent the number of hits Ricky got. Then Pedro's hits were r+281 and their total was ...
r + (r +281) = 2679
2r = 2398
r = 1199
r+281 = 1480
Pedro got 1480 hits; Ricky got 1199.
_____
Additional comment
The two answers to a "sum and difference" problem are half the sum plus or minus half the difference. Here, those values are (2679/2) ± (281/2). Pedro got more hits, so his number is (2679+281)/2 and Ricky's number is (2679-281)/2, as above.
Which of the following are valid names for the triangle below? Check all that
apply.
Answer:
Triangle JKE and Triangle KEJ
Step-by-step explanation:
You have to look at each answer choice for this. For example, for A, it starts at K and then goes to E then to j. That forms a triangle. Whatever answer choice makes a complete triangle is your answer.
the sum of three times a number (x) and −23 is 28
Answer:
x=17
Step-by-step explanation:
3x-23=28
3x-23+23=28+23
3x=51
x=17
In a shipment of 400 parts, 14 are found to be defective. How many parts out of 1000 would NOT be defective?
Can you please show a proportion I am confused.
Answer:
965 parts would not be defective.
Step-by-step explanation:
So for every 400 parts, 14 are defective. That means 386 are not defective. 1000 is 2.5 times as many as 400. So multiply 386 by 2.5 to get your answer.
386/1 * 5/2
193/1 * 5/1
965/1
That means for every 1000 parts, 965 would not be defective. The proportion(s) would be 386:400/965:1000 here.
What is the solution to the inequality -3x - 42 > 3?
A. X > -13
B. x < -13
C. X > -15
D. X< -15
Answer:
D. x<-15
Step-by-step explanation:
-3x-42>3 Add 42 to both sides.
+42 +42
-3x>45 Divide both sides by -3.
/-3 /-3
x>-15 Each time you multiply or divide by a negative, you flip the sign.
x<-15
Hope this helps you out!! Have an amazing day ^^
Solving systems of equations using substitution with both equations in y=mx+b
PLZ HELP ME PLZZZ
8.
Solve for x, then find the measure of the angle given:
Show all work!
5x
N
M
50)
(3x
m 2MPQ
Answer:
x = 25
[tex] m\angle \: MPQ = 125 \degree [/tex]
Step-by-step explanation:
[tex]5x \degree = (3x + 50) \degree \\(corresponding \:\angle s) \\\\ 5x = 3x + 50 \\ \\ 5x - 3x = 50 \\ \\ 2x = 50 \\ \\ x = \frac{50}{2} \\ \\ x = 25 \\ \\ m\angle MPQ = (3x + 50) \degree \\ \\ m\angle MPQ = (3 \times 25 + 50) \degree \\ \\ m\angle \: MPQ = (75 + 50) \degree \\ \\ m\angle \: MPQ = 125 \degree \\ \\ [/tex]
How can you apply the distributive property to factor out the greatest common factor for 20 - 4k?
Answer:
4(5-k)
Step-by-step explanation:
Pull out 4 from each number
HeLp pleasssssssssssse
help with algebra please
Answer:
b = -0.79
Step-by-step explanation:
b+ 2.77 over -2 = -1.78
multiply -2 on both sides to get
b + 2.77 = -3.56
subtract 2.77 on both sides to get
b = -0.79
I'm not sure as I didn't work it out too well but I hope you got the idea
Josh and Lucy share some money in the ratio 7:3 Lucy receives £84 less than Josh
Select the correct figures.
Choose the solids with approximately equal volumes.
Answer:
Step-by-step explanation:
Find the slope.
y = -3x - 2
m =
= [?]
Answer:
slope m=--3/-2=-3/2 is required slope
Answer:
m = -3, b = -2
Step-by-step explanation:
The equation is written in the form of slope-intercept, where m = slope and b = y-intercept.
The slope is the number before x. For the equation y = -3x - 2, it's -3.
The y-intercept is the constant. For the equation y = -3x - 2, it's -2.
Hence, m = -3, and b = -2.
[tex]\rule{350}{4}[/tex]
[tex]\frak{-Dream-}[/tex]
PLS HELP ITS DUE IN FIVE MINUTES
The answer is B 24°.
Tyrone spends $2 on ingredients for every $7 of revenue he collects selling
sandwiches at his shop. Tyrone collects $2100 selling sandwiches in a day. What
is Tyrone's PROFIT for the day?*
Cost ($)
Revenue ($)
2
7
2100
2+7+2100 it would be = $2,109
Explain how you would solve the equation. Justify each step.
-7h = 49
Answer:
Step-by-step explanation:
Divide both sides by -7 to isolate the variable
H = -7
Answer:
This is how you would solve this question
Step-by-step explanation:
All you have to do first is divide: 49 divided by 7
Next you should get 7
A negative times or divided by a positive is always a negative
The last step is to add your subtraction back to the equation
Lunch is 7.95 the tax is 10% what’s the total cost
Answer: ($)8.75
Step-by-step explanation:
To calculate the tax, simply do 10%(0.1)*7.95 to get 0.795, rounding up to 0.80(money typically rounds up).
To calculate the total cost, simply do 7.95+0.80 to get 8.75.
Hope it helps <3
Why was a book in the frying pan on the stove (5.3) puzzle time grade 6
Select all tables that represent a proportional relationship between x and y.
Answer:
1 and 2
Step-by-step explanation:
that is the answer
8 - 4a = -2a
7th Grade Linear Questions
Answer:
a = 4
Step-by-step explanation:
So your goal here is to get the variable on just one side, so add 4a to both sides. This cancels out the 4a on of of the sides and puts a on the other side. The new equation is 8 = -2a + 4a. Combine like terms to get 8 = 2a. Divide both sides by 2 to get a = 4. You can check your work by replacing a with 4:
8 - 4(4) = -2(4)
8 - 16 = -8
-8 = -8
Since the final result is true, (-8 does equal -8,) a = 4.
Marcus is buying candy by the pound for a party. For every 10 pounds of candy
he buys, he pays $12.50. What is the cost, per pound, for the candy?
Answer:
Step-by-step explanation: answer 1.25 per pound
What is the lowest common denominator of the two fractions? An explanation would help x
Answer: 30
Step-by-step explanation:
9/10 = numerator 9 x 3 = 27 and denominator 10 x 3 = 30
2/15 = numerator 2 x 2 = 4 demoninator 15x 2 = 30
This is to make it easier to subtract with a common denominator
= 27-4/ 30
= 23/30
the lowest common denominator is 30
Answer:
Lowest common denominator are
7/10
The last time I posted this question some random person took the points so DONT DO IT AGAIN (YOU KNOW WHO YOU ARE)Write the equation of a line in slope-intercept form with a slope of 10 and passes through (–4, – 25).
Answer:
[tex]y=10x+15[/tex]
Step-by-step explanation:
We want the equation of a line with a slope of 10 and passes through (-4, -25).
We can use the point-slope form given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute 10 for m and (-4, -25) for (x₁, y₁):
[tex]\displaystyle y-(-25)=10(x-(-4))[/tex]
Simplify:
[tex]y+25=10(x+4)[/tex]
Distribute:
[tex]y+25=10x+40[/tex]
Subtract 25 from both sides:
[tex]y=10x+15[/tex]
And we have our equation.
A car travels along a hill inclined 12º with the horizontal for a distance of 1200 feet. What is the horizontal distance traveled by the car during this time?
Answer:
the horizontal distance traveled by the car during this time is 812
Step-by-step explanation:
For which inequality is x ≤ 6?
Answer: The answer stays the same as x ≤ 6
Have a nice day :)
Step-by-step explanation: because since 6 is more than x obviously it wont change.
PLS HELP ITS DUE IN 3 MINUTES
Answer:
H 33 degrees
Step-by-step explanation:
What is the area of a square if the length is 4x-3
Answer:
The area of square in terms of x = 16x² -24x + 9
Step-by-step explanation:
It is stated in the question that the length of a square = 4x - 3
Formula to find the area of the square is
Area = length²
Area = ( 4x - 3 )²
by using ( a - b )² = a² + b² - 2ab
here a = 4x and b = -3
So,
(4x)² + (-3)² - 2(4x)(3)
16x² + 9 - 2(12x)
16x² + 9 - 24x
16x² -24x + 9
The area of square in terms of x = 16x² -24x + 9
Answer:
The area of square in terms of x = 16x² -24x + 9
Step-by-step explanation:
It is stated in the question that the length of a square = 4x - 3
Formula to find the area of the square is
Area = length²
Area = ( 4x - 3 )²
by using ( a - b )² = a² + b² - 2ab
here a = 4x and b = -3
So,
(4x)² + (-3)² - 2(4x)(3)
16x² + 9 - 2(12x)
16x² + 9 - 24x
16x² -24x + 9
The area of square in terms of x = 16x² -24x + 9
(hope this helps can i plz have brainlist :D hehe)
Ben earns $10 per hour and $6 for each delivery he makes. He wants to earn more than $155 in an 8-hour workday. What is the least number of deliveries he must make to reach his goal? a) Write an inequality to model the situation. Use d to represent the number of deliveries
Answer:
the number of deliveries would be 13
And, the equation is d ≥ 12.50
Step-by-step explanation:
The inequality function is given below:
Let us assume the d be the number of deliveries
10 × 8 + 6 × d ≥ 155
80 + 6d ≥ 155
6d ≥ 155 - 80
6d ≥ 75
d ≥ 75 ÷ 6
d ≥ 12.50
hence, the number of deliveries would be 13
And, the equation is d ≥ 12.50
Which angle pair is this
Answer:
Same-side Interior Angles
Step-by-step explanation:
They're on the same side, and they are interior.
The rule
y-axis
ORO, 900(x, y) is applied to AABC.
Answer:
I think 1
Step-by-step explanation: