Answer:
x = - 2 ± [tex]\sqrt{11}[/tex]
Step-by-step explanation:
To solve the equation using the method of completing the square.
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
add ( half the coefficient of the x- term )² to both sides
x² + 2(2) x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex] ← exact solution
Which of the following statements is true?
Answer:
Weight depends on the amount of gravity.
Step-by-step explanation:
Unlike mass, which remains constant, weight depends on the force of gravity that is exerted on it.
Order of Operations
P
E
M
D
A
S
Answer:
D
Step-by-step explanation:
3/5 + 1/5 is 4/5
4/5 x 4/3 is 16/15
16/15 = 1 1/15
Answer:
I believe the answer is D
Step-by-step explanation:
Find the geometric mean 9 and 25
Answer:
Geometric mean = 15
Step-by-step explanation:
Geometric mean is square root of both numbers product.
9×25=225
√225=15
If x2+x=20, which of the following is true?
A x2−x<10x2−x<10
B 10
C 11
D 31
Answer:
Answer is A probably
Step-by-step explanation:
X2-x=20-2x
On comparison we can figure that out
Still I'm a 8th grader so my answer can be wrong
A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?
Answer:
1.1 * 10 ^ -3
Step-by-step explanation:
Given the value of the thivkness of a dollar bill to be 0.0011metre
The standard scientific notation is expressed as A * 10^n
A is any value between 1 and 10 where n is any integer
0.0011 = 11/10000
0.0011 = 11 *1/1000
0.0011 = 11 * 0.0001
0.0011 = 1.1 * 0.001
0.011 = 1.1 * 10 ^ -3 (Note that the decimal point is shifted forward three times and the power is negative because the value is less than 1)
Answer:
1.1x10^-4
Step-by-step explanation:
What is the value of 3x^2 + 5x + 25, when x = 3
(3x^2 means 3x squared)
Mike made 5/6 of his free throw attempts and Lisa made 7/9 of her free throw attempts. Choose two fractions that show 5/6 and 7/9 written with a common denominator.
A. 10/18
B. 14/18
C. 15/18
D. 27/36
E. 30/36
(This is multiple choice)
Answer:
B and C
Step-by-step explanation:
First you have to find a common denominator which would be 18. Then you need to multiply the denominators to get to 18. 6x3 and 9x2. Now whatever you do to the bottom you have to do to the top. So you would mutiply 5x3 and 7x2. The fractions you are left with are, 14/18 and 15/18.
To solve the problem we need to know about fractions.
What is Fraction?A fraction is a way to describe a part of a whole. such as the fraction [tex]\frac{1}{4}[/tex]can be described as 0.25.
Given to us
Mike made 5/6 of his free throw attempts Lisa made 7/9 of her free throw attemptsLCM of DenominatorTo bring the denominator, we need to take the LCM of the denominator, therefore,
[tex]\dfrac{5}{6},\ \dfrac{7}{9}[/tex]
we know that the LCM of 6 and 9 is 18. therefore,
[tex]=\dfrac{(5\times 3)}{(6\times 3)},\ \dfrac{(7\times 2)}{(9\times 2)}\\\\=\dfrac{15}{18},\ \dfrac{14}{18}[/tex]
Thus,
Mike made [tex]\dfrac{15}{18}[/tex] of his free throw attempts Lisa made [tex]\dfrac{14}{18}[/tex] of her free throw attemptsLearn more about Fraction:
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A car that Sophia wants to buy costs $21,000. She does research and finds that after 14 years the car depreciates to a value of zero. If the car depreciates in straight line form, write the straight line depreciation equation.
Answer:
y=-1500x + 21000
Step-by-step explanation:
I =PRT
I = interest
P = principal
R = interest rate%
T = time
The straight-line depreciation equation would be; y=-1500x + 21000
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that car that Sophia wants to buy costs $21,000. She does research that after 14 years the car depreciates to a value of zero.
The standard exponential equation is [tex]y = a(1-r)^t[/tex]
r is the rate
t is the time
a is the initial value
Given the following;
r = 12% = 0.12
t = 14 years
a = $21000
Substitute;
y = 21000(1 -0.12)^14
y = $1500
Therefore, the straight-line depreciation equation would be;
y=-1500x + 21000
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77 is 56% of what number Show your work for brainliest
I WILL MARK BRAINLYEST PLZ HELP IM BEING TIMED!!!!!
Triangle 1 is transformed onto triangle 2 in the graph below.
On a coordinate plane, triangle 1 is rotated to form triangle 2.
Which statement about the transformation is true?
The transformation is a reflection because triangle 2 is a flip of triangle 1.
The transformation is a dilation because triangle 2 is a different size than triangle 1.
The transformation is a vertical translation because triangle 1 slid vertically.
The transformation is a rotation because triangle 2 is a quarter-turn of triangle 1.
Answer:
c or d
Step-by-step explanation:
what is a polynomial
Answer: Polynomials are algebraic expressions that consist of variables and coefficients.
Step-by-step explanation:
Answer:
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Step-by-step explanation:Find the following in the figure
Did you ever get the answers ?
Answer:
of what??????????????????
Answer:
what do you mean???
False
True
or
3.
Circle:
2'-
2'
Answer:
true
Step-by-step explanation:
tan30° + Cos30°/ tan30° . cos30°
Answer:
tan30° + Cos30°/ tan30° . cos30°
1/√3+√3/2/(1/√3)×√3/2
1/√3+3√3/4
which expression is equivalent to (4") - 3?
A(4 + 4 + 4) - 3
B(4.4.4) - 3
C(3.3.3.3) - 3
D (3+3+3 + 3) - 3
The value is 48 points
Answer:
3+3+3+3
Step-by-step explanation:
it's ans is 3+3+3
Answer:
I think the answer is D.
sorry if I'm wrong..
someone wanna heelpp!!!!!
Answer:
95
Step-by-step explanation: is the answer
what is "18 less than the quotient of a number and -5 is at most -2" translated
Answer:
[tex]x\le -80[/tex]
Step-by-step explanation:
The given statement is "18 less than the quotient of a number and -5 is at most -2",
Let the number be x.
At most means, a ≤ b
So,
[tex]\dfrac{x}{-5}-18\le-2[/tex]
Adding 18 to both sides.
[tex]\dfrac{x}{-5}-18+18\le-2+18\\\\\dfrac{x}{-5}\le16[/tex]
Multiply both sides by -5
[tex]\dfrac{x}{-5}\times -5\le 16\times -5\\\\x\le -80[/tex]
So, the solution of the given statement is x is less than equal to -80.
What is the slope of the equation 4x-5y=0?
Answer:
45
Step-by-step explanation:
To be able to go on a trip to South America, Salma decides to save for 2 years. She opens a savings account with $700 . The account pays simple interest at an annual rate of 5% . She doesn't make any more deposits.
(a) How much total interest will Salma earn?
(b) What will the total amount in the account be (including interest)?
Answer:
(a) I'm pretty sure it's $71.75
(b) the total would be $771.75 if i calculated it right...
the measure of AOC is 90 find the value of x, A 30 B 10 C 11
10
Step-by-step explanation:
3x° + 46° +14°
3*10° + 46 + 14° =90
therefore the value of x is 10
The value of x on the given figure is 10.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the figure,
3x + 46 + 14 = 90
Now,
Simplifying.
3x + 60 = 90
Subtracting 60 on both sides.
3x = 90 - 60
3x = 30
Dividing 3 into both sides.
x = 10
Thus,
The value of x on the given figure is 10.
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The complete question is given on the attach image.
Which is the word in English
that has nine letters and
remains a word at each step
even when you remove one
letter from it, right up to a
single letter remaining. List
each letter as you remove
them, along with the resulting
word at each step.
Answer:
startling
Step by step:
remove the l, and the word becomes: starting
remove one t, and the word becomes: staring
remove the a, and the word becomes: string
remove the r, and the word becomes: sting
remove the other t, and the word becomes: sing
remove the g, and the word becomes: sin
remove the s, and the word becomes: in
remove the n, and the word becomes: I
What are the zeroes of f(x)=(2x+3)(x-5)?
Answer:
[tex]-\frac{3}{2} , 5[/tex]
Step-by-step explanation:
The zeroes of a function are the x values of the points at which the graph intersects the x-axis. All points on the x-axis have a y-value of 0, therefore, we need to find out which values of x can be plugged in to have the result be 0. This function is already factored out. So, for each expression, find which input of x makes the result equal 0.
1) So, start with 2x + 3. Set it equal to 0 and solve for x:
[tex]2x + 3 = 0\\2x = -3\\x = -\frac{3}{2} \\[/tex]
Therefore, [tex]-\frac{3}{2}[/tex] is one of the zeroes.
2) Next, set x-5 equal to 0 and solve, too:
[tex]x - 5 = 0 \\x = 5 \\[/tex]
Therefore, 5 is one of the zeroes.
3) Thus, the zeroes are [tex]-\frac{3}{2}[/tex] and 5.
PLS HELP ITS TIMED..
Answer:
1. The judge should set a reasonable bail
2. All women
Step-by-step explanation:
Answer:
11. C. Maria should be allowed to call witnesses to support her innocence.
12. C. All women
Step-by-step explanation:
11. If she's pleading not guilty then she should have the right to get a witness.
12. This is the 19th amendment that granted women the right to vote.
Please help me out with this one
Answer:
The slope of the line = m = 3
Step-by-step explanation:
Given the table
x 3 6 8 12
y 7 16 22 34
Taking any two points let say (3, 7) and (6, 16)
(x₁, y₁) = (3, 7) (x₂, y₂) = (6, 16)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [16 - 7] / [6 - 3]
= 9 / 3
= 3
Therefore, the slope of the line = m = 3
Please help! I have to factor this equation but I don't understand it. Will you please help me solve it? 27a2 + 4b2
When graphing and using the slope-intercept equation, the slope top number tells us to do what? and the bottom number tells us to do what?
Answer:
Rise over Run
Step-by-step explanation:
The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.
The slope of the line below is -3. Use the coordinates of the labeled point to
find a point-slope equation of the line.
Answer: y+7= 3(x-5) C
Step-by-step explanation:
ella and eric are determining how many apps to purchase on their devices. Eric’s plan $4.00 monthly fee plus $0.25 per app Ella’s plan $0.50 per app
Answer:
So what is the question trying to find out because it seems like an incomplete question.
URGENT WILL GIVE BRAINLIEST. Simplify 2x . 1/x^-3 . x^-2
Answer:
2x^2 is your answer
Step-by-step explanation:
Answer:
0.2x^2
Step-by-step explanation: