Answers
Answer:
x=7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
Equating the expression for area to the given area
2x² - 7x - 4 = 45 ( subtract 45 from both sides )
2x² - 7x - 49 = 0 ← in standard form
To factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 49 = - 98 and sum = - 7
The factors are - 14 and + 7
Use these factors to split the middle term
2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )
2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)
(x - 7)(2x + 7) = 0
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -
Thus the positive value for x is x = 7
(also, this answer isn't mine, and love the fire by bts armyyy)
Related Questions
Is this a function or not
Answers
Answer:
it is a function
Step-by-step explanation:
I’ll mark you brainlist I’ll mark you brainlist
Answers
Answer:
Step-by-step explanation:
Slope of the line =3\2
Answer:
its -0.67
Step-by-step explanation:
i typed it into my algevra calc
une entreprise a dépensé en tout 14 400e en 2001 pour l'entretien de ses voitures a. recopier et compléter le tableau ci-dessous. b. calculer la dépense moyenne pour l'entretien d'une voiture. c. les dépense d'entretien ont été représentées dans le diagramme circulaire ci-contre, mais la légende a été effacée. rétablir cette légende.
Answers
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:
Step-by-step explanation:
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.
Your parents took your family out to dinner Your parents wanted to give the waiter a 20% tip. If the total amount of the dinner was $42.00, What is the total price of your dinner, including the tip?
Answers
Answer:
50.4
Step-by-step explanation:
42 * 0.02 = 8.4
42 + 8.4 = 50.4
The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75.
Answers
Answer:
profit 40 dollars
Step-by-step explanation:
The equation d=11t models the distance a mouse can travel when it runs at top speed. In the equation,d is the distance in feet and t is the time in second. Complete the table WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answers
Answer:
t = 0 , d = 0
t = 2, d = 22
t= 4, d = 44
t = 6, d = 66
Step-by-step explanation:
Here, given the equation that relates the time in seconds to the distance in feet, we want to complete the given table
From the equation, we have that d = 11t
This mean that by multiplying the time by 11, we get the distance
Thus, we have that ;
when t = 0
d = 11 * 0 = 0
when t = 2
d = 11 * 2 = 22 ft
when t = 4
d = 11 * 4 = 44 ft
when t = 6
d = 11 * 6 = 66 ft
Given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.
Equation of a Proportional RelationshipEquation that models a proportional relationship between two variables, "t" and "d" can be expressed as: d = kt.k is the constant of proportionality.Given:
d = 11t
Find the corresponding values of d by plugging in the given values of t:
When t = 0,
d = 11(0) = 0
When t = 2,
d = 11(2) = 22
When t = 4,
d = 11(4) = 44
When t = 6,
d = 11(4) = 66.
Therefore, given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.
Learn more about proportional relationship on:
https://brainly.com/question/15618632
PLEASE HELP! If I add five to a mystery number and then multiply the result by two, I get twenty four. Write an equation to solve for the mystery number, solve the equation and then check your answer.
Answers
Answer:
The mystery number is 7
Step-by-step explanation:
This is a very easy problem.
let the mystery number=x
2(x+5)=24
2x+10=24
2x=24-10
2x=14
x=7
To check the answer,
Add 5 to 7=12, multiply by 2=24
A mayor estimates that 4,000 people will attend the first day of the county fair. A total of 8,400 people actually attend the first day of the fair. What is the percent error of the mayor’s estimate? Round the answer to the nearest tenth percent, if necessary.
Answers
Answer:
110%
Step-by-step explanation:
4000 100
8400 ?
8400x100
4000
210% of the expected people showed up
2/3x = 27
Solve for x
Answers
Answer:
Step-by-step explanation:
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
81
2
Decimal Form:
x
=
40.5
Mixed Number Form:
x
=
40
1
2
Answer:
x = 81/2
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
2/3x = 27
Step 2: Solve for x
Divide 2/3 on both sides: x = 81/2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2/3(81/2) = 27Multiply: 27 = 27Here we see that 27 does indeed equal 27.
∴ x = 81/2 is the solution to the equation.
whats the y intercept in x + y = –3
Answers
Answer:
the y-intercept is -3
Step-by-step explanation:
x+y=3
-x -x
y=-x-3
b=-3
Answer: Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
y-intercept = -3/1 = -3.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x+y-(-3)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve x+y+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+y+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000
y-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000
x-intercept = -3/1 = -3.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -2.000/2.000 = -1.000
Geometric figure: Straight Line
Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
y-intercept = -3/1 = -3.00000
1/2x+y = 3
y = 3x + 10
Solve using substitution
Answers
Answer:
(-2,4)
x = -2 y = 4
I hope this helps
"Nine less than four times a number is greater than seventeen." Which inequality is a correct translation of this statement?
Answers
Hi, you didn’t post answer choices but this should be it:
4x - 9 > 17
How many adult tickets were sold if each adult ticket sold was $6 and each student ticket was $4.50 and 260 tickets were sold for a total of $1404?
Answers
Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
________________
add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
Which algebraic expression is a polynomial?
4x2 – 3x + 2
х
-6x3 + x2 - 15
* 8x2 + 7
-2x4 +
3
2x
2 3 4
Answers
Answer:
Its [tex]-6x^(3)+ x^(2) - \sqrt(5)[/tex]
Step-by-step explanation:
The algebraic expression that is a polynomial is -6x³ + x² - √5
What is a polynomial function?A polynomial function is an expression that consists of different types of variables. They include non-zero coefficients, positive exponents, and constants.
Types of polynomals include:
Linear function Quadratic polynomial function Cubic polynomial functionTo learn more about linear functions, please check: https://brainly.com/question/26434260
plz help in to cool bro
Answers
i can't do this, can someone explain
Answers
Answer:
i think its m=4 too
Step-by-step explanation:
mhhhh
The sum of two numbers is 60. The larger number is 20 more than the smaller number. What are the numbers? Larger number: Smaller number:
Answers
3(23−2v)+3v=48
what is v?
Answers
Answer:
v=7
Step-by-step explanation:
my previous answer was incorrect, my bad
Answer: v=-7
Step-by-step explanation:
3(23−2v)+3v=48
Distribute:
69-6v+3v=48
Combine like terms:
-6v+3v=-3v
69-3v=48
Subtract 69 on both sides:
69-69-3v=48-69
-3v=-21
Divide 3 on both sides:
-3v/3=-21/3
v=-7
What is the range of the function f(x)=2x−4 when the domain is {-3, 0, 4}?
Answers
I found: Domain: all real x ; Range: all real y
whats the missing number?
Answers
Answer: -0
The absolute value of any number is positive so you can say the absolute value of -0 is 0 and it’ll be true. You can also say the absolute value of 0 is 0.
Circle D was dilated to form circle D prime. The diameter of circle D is 5 units and the diameter of circle D prime is 15 units. What is the relationship between the areas of circle D and circle D prime?
Answers
Answer:
A' = 9AStep-by-step explanation:
Area formula:
A = πd²/4Area of circle D:
A = π(5²)/4= 25/4πArea of circle D'
A' = π(15²)/4 = 9*25/4π = 9ARequired relationship:
A' = 9AAdding two negative numbers together always results in a negative number." Is this statement True or False?
Answers
Answer:
true because when you add negatives it's the same as subtracting, so, you're just going further negative
If α and β are zeroes of a polynomial x² + 6x + 9, then form a polynomial whose zeroes are -α and -β
Answers
Answer:
x² - 6x + 9
General Formulas and Concepts:
Algebra I
FactoringExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
x² + 6x + 9
Step 2: Find Roots α and β
Factor quadratic: (x + 3)²Find roots: α = -3, β = -3Step 3: Solve
Apply negatives: -α = -(-3), -β = -(-3)Multiply: -α = 3, -β = 3Write binomial factor: (x - 3)²Expand [FOIL]: x² - 6x + 9Find the slope of 6x – 3y = 5
Answers
Answer:
slope is 2
Step-by-step explanation:
simplify this equation so that you can get to "y ="
your equation is: 6x - 3y = 5
start by subtracting 6x from both sides: -3y = -6x - 5
then divide both sides by -3 to isolate y: y = 2x - 5/3
so now we can clearly see that the slope is 2, since that is what is right next to x
X^3 = 1,000
algebratic equations
Answers
Answer:
10
Step-by-step explanation:
x³=1000
x=3√1000
x=10
Answer:
x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)
Step-by-step explanation:
x^3 = 1000
x^3 - 1000 = 0
(x - 10)(x^2 + 10x + 100) = 0
x = 10 or x^2 + 10x + 100 = 0
x = 10 or x^2 + 10x + 25 = -100 + 25
x = 10 or (x + 5)^2 = -75
x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)
x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation 5 grams. How many mice must be weighed so that a 95% confidence interval will have margin of error of 0.6 grams?
Answers
Answer: n = 267
Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.
It can be calculated as
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
in which
z is z-score related to the confidence interval, which is this case is 1.96;
s is standard deviation;
n is the number in a sample;
So, the number of mice must be:
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]
[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]
[tex]\sqrt{n}=16.33[/tex]
n = 267
For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.
The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.
Given :
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with a standard deviation of 5 grams.95% confidence interval.The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:
[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]
where z is the z-score, s is the standard deviation, and n is the sample size.
Now, substitute the known values in the above formula.
[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]
Simplify the above expression in order to determine the value of 'n'.
[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]
n = 267
Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.
For more information, refer to the link given below:
https://brainly.com/question/20982963
Giving brainlest plz help me fast!!! I know this is physics but its also math (Look its math in science ok)
Interpreting Velocity vs Time Graphs
A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line has 3 straight segments. Line segment A runs from 0 seconds 0 meters per second to 4 seconds 40 meters per second. Then segment B runs to 9 seconds 40 meters per second. Then segment C runs to 10 seconds 10 meters per second.
Use the graph to determine acceleration and velocity.
Which segments show acceleration?
What is the velocity of segment B?
Choices for the first question:
A. A and B
B. A and C
C. B and C
Choices for the second question:
A. 8 m/s
B. 10 m/s
C. 40 m/s
D. - 40 m/s
Answers
Answer:
The velocity is being plotted. The velocity value indicates how fast the object is moving.
Step-by-step
C on the first one and C on the second one lol
Give brainlest PLZZZ
Answer:
its b to 9 seconds 40 meters per second
Step-by-step explanation:
the test was right
I need the measure of angle 6
Answers
Answer:
125°
Step-by-step explanation:
x + 24 is equal to 1.
6 is equal to 4x + 1
1 and 4x + 1 = 180°
x + 24 + 4x + 1 = 180
4x + x + 24 + 1 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
5x/5 = 155/5
x = 31
(angle) 6 = 4x + 1
(angle) 6 = 4(31) + 1
(angle) 6 = 124 + 1
(angle) 6 = 125°
Denise lives in a two-story house with a basement. The first story of the house is at ground level. The basement floor is at an elevation of −10.5 feet and the second story floor has an elevation of 12 1/4 feet. Use the absolute value of each elevation to find the distance between the basement floor and the second story floor.
Answers
Answer:
22.75 ftStep-by-step explanation:
Given
Elevation of basement = -10.5 ftElevation of first story = 0Elevation of second story = 12 1/4 ftThe distance between basement and second story floors:
|-10.5| + |12 1/4| = 10.5 + 12.25 = 22.75 ftThe equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 2/9x
Answers
====================================================
Explanation:
The equation y = (2/9)x is in the form y = kx
In this case, k = 2/9.
The value of k is the constant of proportionality.
All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.