determine the value of a and b so that x^4 6x^3 +7x^2+ax+b is a perfect square
Step-by-step explanation:
(Ax² + Bx + C)²
= (Ax² + Bx + C)(Ax² + Bx + C)
= Ax⁴ + 2ABx³ + 2ACx² + 2BCx + C².
By Comparing Coefficients, we have:
A = 1
2AB = 6
2AC = 7
2BC = a
C² = b
Solving them we get A = 1, B = 3 and C = 3.5.
Therefore a = 2BC = 2(3)(3.5) = 21,
b = C² = (3.5)² = 12.25.
Please help will mark as brilliant<3
Evaluate f(x)=x+6 when x=−2,0, and 5.
Answer:
1. 4
2. 6
3. 11
Step-by-step explanation:
Plug each number into the equation (in place of x) to get the answer.
1. f(-2) = -2+6 = 4
2. f(0) = 0+6 = 6
3. f(5) = 5+6 = 11
1 i) Consider a triangle ABC shown below. If angle LA = 3r and _C = 2x then find the value of z.
Answer:
i don't know if this is what you're asking but here you go
Step-by-step explanation:
90 + 3x + 2x = 180
90 + 5x = 180
- 90 - 90
5x = 90
/ 5 / 5
x = 18
The graph below show the cost of tomato plants for each purchased. What is the cost of one tomato plant
Answer:
There is no phone...so i dont know what the numbers are....
Step-by-step explanation:
Is the function shown linear or nonlinear? Explain.
A. The function is linear becouse all values of x and y are positive.
B. The function is nonlinear becouse there are no negative values of x or y.
C. The function is nonlinear becouse the slope is not constant.
Answer:
b
Step-by-step explanation:
linear is a straight line and non linear is something that isnt a straight line
If x = 5, which inequality is true?
A. -6-3x > 2
B. -4 2x < -14
C. 2 + 3x > 20
D. 8-2x <7
D IS THE CORRECT ONE Step-by-step explanation:
10. The tickets to a ballet cost either $25 or $50. A total of 1,250 tickets, worth $50.000, tickets, which system of linear equations can be used to find the number of each type of ticket sold? 25x + 50y = 50000 x +y = 1250 A. 25x + 50y = 1250 x+y = 50000 B. 25x + x = 50000 50y + y = 1250 C. 25x + 50x = 50000 y +y = 1250 D.
Answer:
25x + 50y = 50,000
x + y = 1250
Step-by-step explanation:
Let x = number of $25 tickets
Let y = number of $50 tickets
Equation of the the money of ticket sales:
25x + 50y = 50,000
Equation of the number of tickets:
x + y = 1250
Answer:
25x + 50y = 50,000
x + y = 1250
Choose
1. Identify the y-intercept of the line with the given equation. y= 3x + 12
A) x
B) y
C) 3
D) 12
Find the slope between the points (3, 0) and (5, 4).
A. 2
B. 12
C. 4
Answer: I would say A tbh thank you
Step-by-step explanation:
The coordinates of two points on the line, use the slope formula to determine the slope of the line.
The slope between the points (3, 0) and (5, 4) exists 2.
What is meant by slope of the equation?Given the coordinates of two points on the line, use the slope formula to determine the slope of the line.
The slope formula, or the ratio of the change in the y values to the change in the x values, is
[tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]
where [tex]$(x _1, y_ 1)$[/tex]and [tex]$(x_ 2, y _2)$[/tex] are two points that lie on the line.
Let the points be [tex]&(x _1, y _1)[/tex] = (3, 0) and [tex]$&(x _2, y _2)[/tex] = (5, 4)
The equation be [tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]
substitute the values in the above equation, we get
[tex]$m=\frac{4-0}{5-3}=\frac{4}{2} \\[/tex]
The slope between the points (3, 0) and (5, 4) exists 2.
Therefore, the correct answer is option A. 2.
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At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.11 hours 0.25 hours 0.88 hours 1.84 hours
Answer:
1.84
Step-by-step explanation:
Answer:
You answer would be 1.84
Step-by-step explanation:
Someone pls explain :)!!!!
Answer:
The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.
The formula is y=mx+b
:D
Most of the geometry concepts and theorems that are learned in high school today were first discovered and proved by mathematicians such as Euclid thousands of years ago. Given that these geometry concepts and theorems have been known to be true for thousands of years, why is it important that you learn how to prove them for yourself?
Answer:
self realization, confidence
Step-by-step explanation:
also these concepts are used in real life jobs but most people think otherwise because you dont use them in a grocery store... yeah people think that, but also its so these concepts that were figured out thousands of years ago dont fade away with the newer generations
Solve by the substitution method.
6x + 8y = 0
-7x + y = 31
Answer:
(-4, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
6x + 8y = 0
-7x + y = 31
Step 2: Rewrite Systems
-7x + y = 31
Add 7x to both sides: y = 7x + 31Step 3: Redefine Systems
6x + 8y = 0
y = 7x + 31
Step 4: Solve for x
Substitution
Substitute in y: 6x + 8(7x + 31) = 0Distribute 8: 6x + 56x + 248 = 0Combine like terms: 62x + 248 = 0Isolate x term: 62x = -248Isolate x: x = -4Step 4: Solve for y
Define equation: -7x + y = 31Substitute in x: -7(-4) + y = 31Multiply: 28 + y = 31Isolate y: y = 3help meh for points pleasee
Answer:
the answer is 43
Step-by-step explanation:
I tought of a number double it then added 3. The result multiplied by 4 came to 52,what was the number I tought of?
Answer:
5
Step-by-step explanation:
double 5 is 10
10+3=13
13 multiplied by 4=52
will mark brainliest
Answer:
1.
31, 37, 43, 49, 55
2.
for nth number the value is 31+6(n-1)
3.
24th number, 169-31=138 and 138/6=23
A 20-dirham note is 13 cm long. How many such notes need to be placed one after the other without overlapping to cover a length of 1 1 2 m?
Answer:
861 (approx)
Step-by-step explanation:
It is given that there is a note of 20 dirham. The 20 dirham note is 13 cm long. And we have to place the 20 dirham notes to cover a length of 112 m without overlapping the notes.
We know that :
100 cm = 1 m
∴ 13 cm = 0.13 m
In order to cover a length of 112 m, we have to divide 112 by 0.13, i.e.
[tex]$=\frac{112}{0.13}$[/tex]
[tex]$=\frac{11200}{13}$[/tex]
= 861 (approx)
Enter the correct answer in the box. Write the factored form of the least common denominator needed to simplify this expression. (g+1/g^2 + 2g - 15)+ (g+3/g+5)
Answer:
(g+5)x(g-3)
Step-by-step explanation:
Edmentum/PLATO answer:
Rewrite the expression:
g+1/g^2+5g-3g-15 + g+3/g+5
Factor out g from expression:
g+1/gx(g+5)-3g-15 + g+3/g+5
Factor out g+5:
g+1/(g+5)x(g-3) + g+3/g+5
Least common denominator: (g+5)x(g-3)
A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the numbe
chosen is divisible by 5 or 8.
Numbers divisible by 5 from 2 to 50 is 10 and numbers divisible by 8 from 2 to 50 is 6 ,therefore 6+ 10 =16 making 16/50 =8/25
PLEASE ANSWER NUMBER 15 ‼️‼️‼️‼️
Answer:
C
Step-by-step explanation:
You want to take 10 lessons at a swim club. You can pay a membership fee of $20 plus a fee per lesson. You can also decide no to pay a membership fee. In that case, the fee per lesson is $3 more. Is there any lesson fee for which these two plans cost the same?
Answer:
x = 1
Step-by-step explanation:
Plan A: 20 + 10x
Where, x = fee per lesson
Plan B: $3 × 10 lessons = $30
Equate plan A and plan B
Plan A = Plan B
20 + 10x = 30
10x = 30 - 20
10x = 10
x = 10/10
= 1
x = 1
HELP ASAP! Will mark brainliest! Please give actual, correct answers because this is very important.
Answer:
1.) -t (r - s)
-3 (-6 - 3)
16 + 6
22
2.) B
A linear equation consists of y = slope + y-intercept (y = mx +b). In this case, the slope will rise by 1 and run (right) by 1.
3.) I`m sorry I`m not too sure about this one
I hope the first couple helped, I`m sorry I don`t know the last one.
What is the value of x?
Answer:
x=71
Step-by-step explanation:
38+x+x=180
x+x=142
2x=142
x=71
list 3 linear equations
List 3 non-linear equations
Answer:
Linear:
y = 2x + 1
5x = 6 + 3y
y/2 = 3 − x
Nonlinear:
x2+y2 = 1.
x2 + 12xy + y2 = 0.
x2+x+2 = 25
Step-by-step explanation:
Zeke oversees a website for nutritional information on fast food. During its first year, the number of times the website was visited had
net change of +55. During each subsequent month, starting in the next year, the number of visits increased by 320. He wants to find
out how many visits his website will get afterx months assuming this rate continues
Zeke thinks that the website will have 7,500 visits in less than 2 years
Which statements about this situation are true? Select ALL that apply.
A
The expression 320x + 55 can be used to represent this situation,
The expression that can be used to represent the situation will have a positive rate of change of 55 and a constant of
320
Answer: 320x + 55
Step-by-step explanation:
The statements about this situation that are true include:
The expression 320x + 55 can be used to represent this situation.The expression that can be used to represent the situation will have a positive rate of change of 55 and a constant of 320.Since the number of times the website was visited had a net change of +55 and during each subsequent month, starting in the next year, the number of visits increased by 320. The expression to solve this will be:
= 320(x) + 55
= 320x + 55
where, x = number of months.
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Keiko deposits $6000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?
help soon please
Answer:
540
Step-by-step explanation:
3% of 6000 is 180. Multiply that by 3 years and you have your result.
ben orders a case of his favorite macaroni and cheese. The case contains 18 same size boxes that weigh a total of 7.2 pounds .
Answer:
129.6
Step-by-step explanation:
that the answer I got so yea
Answer:
The answer is 18x = 7.2 x = 2.5.
Step-by-step explanation:
If your asking this question from iready then the answer is 18x = 7.2 x = 2.5
A price of a hoverboard was marked down from $220 to $132. By what percent was the price of the hoverboard reduced?
A) 40%
B) 88%
C) 36%
D) 33.3%
220÷132=36 so the answer is c
Can you solve this?
kn+4f=9v, for n
Answer:
n = [tex]\frac{9v - 4f}{k}[/tex]
Step-by-step explanation:
kn + 4f = 9v
kn = 9v - 4f
[tex]\frac{kn}{k}[/tex] = [tex]\frac{9v - 4f}{k}[/tex]
n = [tex]\frac{9v - 4f}{k}[/tex]