Answer:
{x,y} = {-1,-9}
Step-by-step explanation:
Quadratic
3p^2−7p−1=0
Answer:
[tex]x=\frac{7\pm\sqrt{61} }{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
3p² - 7p - 1 = 0
Step 2: Identify Variables
a = 3
b = -7
c = -1
Step 3: Find roots
Substitute [Quad Formula]: [tex]x=\frac{7\pm\sqrt{(-7)^2-4(3)(-1)} }{2(3)}[/tex]Evaluate Exponents: [tex]x=\frac{7\pm\sqrt{49-4(3)(-1)} }{2(3)}[/tex]Multiply: [tex]x=\frac{7\pm\sqrt{49+12} }{6}[/tex]Add: [tex]x=\frac{7\pm\sqrt{61} }{6}[/tex]Answer:
x = 7 + √61 ÷ 6
Step-by-step explanation:
3p² - 7p - 1 = 0 is a given equation
3p² - 7p - 1 = 0
Here,
a = 3
b = - 7
c = - 1
Now, Discriminant
D = b² - 4ac
= (- 7)² - 4 (3)(- 1)
= 49 + 12
D = 61 > 0
So, Quadratic Equation
ax² + bx + c = 0
x = - b ± √b² - 4ac ÷ 2a
x = - (- 7) ± √(- 7)² - 4 (3)(- 1) ÷ 2(3)
x = 7 ± √61 ÷ 6
x = 7 ± √61 ÷ 6
x = 7 + √61 ÷ 6 or x = 7 - √61 ÷ 6
∴ Not real Value
Thus, The real value of x is 7 + √61 ÷ 6
-TheUnknownScientist
PLEASE ANSWERR CORRECTLY!!!!!!!!
WILL MARK BRAINLIEST FOR CORRECT ANSWER!!!!!!!!
At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?
A) $1.08
B) $1.50
C) $41.50
D) $83.00
PLEASE ANSWER CORRECTLY!!!!!!!!
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B) $1..50
Step-by-step explanation:
First, how many trading cards did Naveen have?
87 + 9 - 16 + 3 = 83
$124.50 / 83 = $1.50
The school is 4000 meters from Jim house how many kilometers is this
Answer:
A
Step-by-step explanation:
30 P O I N T S H U R R Y
Answer:
1 1/2
Step-by-step explanation:
I think
Answer:
1 1/14
Step-by-step explanation:
same denominator so, 10+11 = 21,
simplified, 1 1/14
Which number below is a prime number? O A. 61 OB. 102 O C. 75 O D. 64
Answer:
Step-by-step explanation:
61 is divisible by itself and 1. It's prime.
102 ends in a 2. Therefore it is not prime because it can be divided by 2,
75 = 3*5*5 not prime.
64 = 2 * 2 * 2 *2 * 2*2 Not prime.
HELP ME PLZ. 2. Mrs. Wilson's dad is looking for a new fishing pole for an upcoming trip to the Grand
Canyon. He found the model he likes at a local sporting goods store. The price of the pole is
$59.50 with a sales tax of 6%. However, he can purchase the pole on a website for $62.50 with
no sales tax added on the price. What is the difference in the price between the store and the
website? Which is more expensive?
What is an equation in standard form of the line that has x-intercept 1 and y-intercept 4?
A. x-4y=4
B. 4x-y=4
C. 4x+y=4
D. x-4y=-4
The equation of the straight line that has x-intercept 1 and y-intercept 4 is:
4x - y = 4
What is a straight line?"A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point."
Given, the line has a x-intercept of 1 and y-intercept of 4. T
Therefore, the line passes through the points (1, 0) and (0, 4).
Now, we can find the slope of the line 'm' that passes through those either points.
Therefore, (x₁ - x₂) = m(y₁ - y₂)
⇒ (1 - 0) = m(0 - 4)
⇒ m = [tex]\frac{1}{4}[/tex]
Now, the equation of the line that has x-intercept 1 and y-intercept 4 is:
(x - x₁) = m(y - y₁)
⇒ (x - 1) = [tex]\frac{1}{4}[/tex](y - 0)
⇒ 4(x - 1) = y
⇒ 4x - y = 4
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the faces of a 10-sided die are numbered 0 through 9. a. if the die is rolled, what is the probability that the value of the roll is a prime number? b. what is the expected value of the roll? c. if the die is rolled twice, what is the probability that the same number is obtained both times?
If the die is rolled then the probability of the roll is a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]. The probability that the same number would appear twice on the dice is [tex]0.01[/tex], and the expected value of the roll is [tex]5.5[/tex].
How would you define expected value?Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis. The anticipated value is an extension of the weighted average in probability theory. Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen. Find the anticipated value by [tex]E(X)[/tex]. Simply multiply each value of the discrete random variable by its probability, then add the results to get the value, or mean, of the random variable. The equation is provided as [tex]E(X)[/tex]=μ=Σ[tex]XP(X)[/tex]. Expected value is calculated by multiplying each outcome's value by the probability.
Total Number of outcomes is [tex]10[/tex]. And the number of prime number is [tex]4 \ \ i.e.\ (2,3,5,7)[/tex]. So the probability of a prime number is [tex]\frac{4}{10}=\frac{2}{5}[/tex]
The expected value is ×[tex]XP(X)= 0*\frac{1}{10}+1 * \frac{1}{10} + 2*\frac{1}{10} +3*\frac{1}{10} +4*\frac{1}{10} +5*\frac{1}{10} +6*\frac{1}{10} +7*\frac{1}{10} +8*\frac{1}{10} +9*\frac{1}{10} \\ =0+\frac{1}{10}+\frac{2}{10}+\frac{3}{10}+\frac{4}{10}+\frac{5}{10}+\frac{6}{10}+\frac{7}{10} +\frac{8}{10}+\frac{9}{10} \\ =\frac{1+2+3+4+5+6+7+8+9}{10}=\frac{55}{10}=5.5[/tex]
If the dice is rolled twice the probability that the same number is obtained is [tex]\frac{1}{10}*\frac{1}{10}=\frac{1}{100}=0.01[/tex]
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5 = 2m − 5
How do you solve for M
Both pyramids in the figure have the same base area as the prisme
The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is 1/3.
How to calculate the ratio?The volume of a pyramid is (1/3) (base area) (height)
Volume of the lower pyramid = (1/3) (base area) (height) Volume of the upper pyramid = (1/3) (basearea × height)
The combined volume of both pyramids = (2/3) × (base area) (height) .
Their base area is (length x width) of the prism, and their height is (1/2 the height) of the prism.
From here, we'll work with the dimensions of the prism ... L, W, and H .
Combined volume of the pyramids = (2/3) (L x W) (1/2 H)
= (1/3) (L x W x H) .
Volume of the prism = (L x W x H)
The pyramids occupy 1/3 the volume of the prism.
The ratio is 1/3 .
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Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is
Several friends compared their bank account balances. Current Account Balance Name Checking account balance Zöe $10.98 Yvette –$11.32 Xavier –$11.71 Wyatt $11.75 Vern $10.89 Which list shows the people in order of the least bank balance to the greatest bank balance? Vern, Zöe, Yvette, Xavier, Wyatt Xavier, Yvette, Vern, Zöe, Wyatt Yvette, Xavier, Vern, Zöe, Wyatt Wyatt, Zöe, Vern, Yvette, Xavier
Answer:
A. Vern, Zöe, Yvette, Xavier, Wyatt
Step-by-step explanation:
Zöe $10.98
Yvette –$11.32
Xavier –$11.71
Wyatt $11.75
Vern $10.89
Arrange from the least bank balance to the greatest bank balance
Vern $10.89
Zöe $10.98
Yvette –$11.32
Xavier –$11.71
Wyatt $11.75
Which list shows the people in order of the least bank balance to the greatest bank balance?
A. Vern, Zöe, Yvette, Xavier, Wyatt
B. Xavier, Yvette, Vern, Zöe, Wyatt
C. Yvette, Xavier, Vern, Zöe, Wyatt
D. Wyatt, Zöe, Vern, Yvette, Xavier
Answer:
Vern, Zöe, Yvette, Xavier, Wyatt A
Step-by-step explanation:
I took the test :)
The total cost of gas and the price paid per gallon have a proportional relationship. Five gallons of gas cost $13.35.
How many gallons of gas is purchased for $34.71?
Answer:
thank you for the free points
Step-by-step explanation:
Answer:
13 gallons
Step-by-step explanation:
13.35 = 5 gallons of gas
1 gallon = 2.67
y = 2.67x
34.71 = 2.67x
[tex]\frac{34.71}{2.67} = \frac{2.67x}{2.67}[/tex]
x = 13
Plssssss help me I don’t understand this!!!
Answer:
D. 375
Step-by-step explanation:
this is the answer because the distance you need to travel doesn't change based off the amount of gas you have
I need help with this, plz help
Answer:
<AFB
Step-by-step explanation:
Question 9 PLZ HELP FAST ILL GOVE BRAINLIST AND EXTRA MALE SURE TOU EXPLAIN YOURSELF
Answer:
C
Step-by-step explanation:
the unit right below yards is ft so we can mark out A
we also know that there are 3 feet in 1 yard and that in order for the unit yard to cancel out, the 1 yard needs to be the denominator to 3 feet, so we can mark out D
the unit right below feet is inches and we know that there are 12 inches in one foot, so we can mark out B
this leaves us with C
help me please........
Step-by-step explanation:
a : (-6 , -8)
b: (6 , 8)
I used desmos for the problems
There are 2.54 centimeters in 1 inch. If a pencil is 18 cm long, how many inches is it? Round to the nearest whole number.
Answer:
7 Inches
Explanation:
2.54 Cm. In One Inch.Pencil Is 18 Cm LongDivide:
18 ÷ 2.54 = 7.08661417323
Round:
7
- PNW
9x(10-10x) simplify
i put 90x-90x^2 but it's wrong so i kinda need help
Answer:
Step-by-step explanation:
I hope this helps:)
what is the solution for a^3+3a^2b-4b-11b+7
The expression a³ + 3 a² b - 4 a b - 11 b + 7 will have 5 terms in it.
We are given the expression:
a³ + 3 a² b - 4 a b - 11 b + 7
We need to find the number of terms this expression has.
We can see that, this expression has 5 terms.
The first term will be a³.
The second one will be 3 a² b.
The third one will be 4 a b.
The fourth one will be 11 b.
And the fifth one will be 7.
Therefore, we get that, the expression a³ + 3 a² b - 4 a b - 11 b + 7 will have 5 terms in it.
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Your question was incomplete, Please refer the content below:
How many terms are in the expression a³ + 3 a² b - 4 a b - 11 b + 7?
5 cupcakes cost $8.75. At this rate, how much would 3 cupcakes cost
Answer:
$5.25
Step-by-step explanation:
8.75/5=1.75
1.75 x 3=5.25
Answer:
$5.25
Step-by-step explanation:
8.75 devided by 5 is 1.75 so for 1 cupcake it is $1.75. $1.75 X 3= $5.25
4x-5=x-1+3x I need help
Answer:
x = no solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
4x - 5 = x - 1 + 3x
Step 2: Solve for x
Combine like terms: 4x - 5 = 4x - 1Subtract 4x on both sides: -5 ≠ -1Here we see that -5 does not equal -1.
∴ This equation has no solutions.
15 points!
identify the slope of the line given in the table: __ identify the slope of the line given in the graph: __ which linear function has a negative slope? ___ which linear function has the steeper slope? ___
Are you sure you didn't have an image to go along with this? Cause this is very unclear...
Answer:
a) -3/2
b) 2/3
c) table
d) table
Step-by-step explanation:
Mrs. Drew wants to build a square sandbox with an area of 49 square feet. What is the total length of wood Mrs. Drew needs to make the sides of the sandbox?
Answer:
52 feet of wood is required to make the sides of the square sandbox.
Step-by-step explanation:
Answer:
get one side of the square by getting the square root of 49.
Step-by-step explanation:
S*S=area.
[tex] \sqrt{49} [/tex]
=7. 7*4=28feet
What is the slope of the line ?
O 1/4
O 8/17
O 4
O 6
a dozen cookies shared among 15 children. If each child receives the same amount of pizza, how much will each child get?
A mathematics teacher wanted to see the correlation between test scores and
homework. The homework grade (x) and test grade (y) are given in the accompanying
table. Write the linear regression equation that represents this set of data, rounding
all coefficients to the nearest hundredth. Using this equation, find the projected test
grade, to the nearest integer, for a student with a homework grade of 49.
The linear regression equation that represents this set of data is Y = -12.41 + 1.15x and the projected test grade for a student with a homework grade of 49 is 44 and this can be determined by using the generalized equation of regression.
Given :
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table.The generalized regression equation is given below:
Y = a + bX --- (1)
where b is given by the formula:
[tex]\rm b = \dfrac{N\sum XY-\sum X \sum Y}{N\sum X^2-(\sum X)^2}[/tex]
Now, substitute the values of the known terms in the above formula in order to determine the value of 'b'.
b = 1.15
and the formula of a is given below:
[tex]\rm a = \dfrac{\sum Y - b \sum X}{N}[/tex]
Now, substitute the values of the known terms in the above formula in order to determine the value of 'a'.
a = -12.41
Now, substitute the values of a and b in the equation (1).
Y = -12.41 + 1.15x
Now, at x = 49 the value of Y becomes:
Y = -12.41 + 1.15(49)
Y = 43.94
Y [tex]\approx[/tex] 44
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Im not sure what to do
Answer:
[tex]h(-1)=\frac{-2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
[tex]h(x)=\frac{2x-6}{4x^2+8}[/tex]
h(-1) is x = -1
Step 2: Evaluate
Substitute: [tex]h(-1)=\frac{2(-1)-6}{4(-1)^2+8}[/tex]Exponents: [tex]h(-1)=\frac{2(-1)-6}{4(1)+8}[/tex]Multiply: [tex]h(-1)=\frac{-2-6}{4+8}[/tex]Subtract: [tex]h(-1)=\frac{-8}{4+8}[/tex]Add: [tex]h(-1)=\frac{-8}{12}[/tex]Simplify: [tex]h(-1)=\frac{-2}{3}[/tex]How do I solve and respond to this question?
Answer:
i think its 6 and 8
Step-by-step explanation:
sorry if i get it wrong
can you tell me if it is right or wrong
Carson invested $850 in an account paying an interest rate of 5.7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 6 years?
Answer:
$850×5.7/100=48.45
850+48.45=898.45
898
Answer: 1197
Step-by-step explanation:
which equation represents the line shown on the
Answer:
A
Step-by-step explanation:
y-int = -2
so the line should cross (0, -2)
Rise over run is 2/5 so go up 2, over 5 and put your dot etc...