Answer:
(x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
x² + 5x
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 5x
= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] - [tex]\frac{25}{4}[/tex]
= (x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
What is the solution to
−(6m+8) =4(17−m)
Answer:
[tex]\boxed{m = -38}[/tex]
Step-by-step explanation:
[tex]-(6m+8) =4(17-m)[/tex]
→ Expand brackets
[tex]-6m-8=68-4m[/tex]
→ Add 8 to both sides to collect the whole numbers
[tex]-6m = 76-4m[/tex]
→ Add -4m to both sides to collect the m terms
[tex]-2m=76[/tex]
→ Divide both sides by -10 to isolate m
[tex]m=-38[/tex]
us
How many milliliters are in
12 teaspoons?
1 tsp = 5 mL
12 tsp = [?] mL
Enter
The formula for the perimeter of a rectangle is P=2(l+w). Solve for w.
Answer:
w = p/2 - l
Step-by-step explanation:
Hope this helps!!
Answer:
W=(P-2L)/2
Step-by-step explanation:
W=(P-2L)
Then what ever number you get divide by 2
To get the width
715,000___7.15 x 10^5
>
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=
If 225 widgets were produced in 2.2 hours what is the hourly production rate
Answer: The hourly production rate is about 102.3 widgets per hour
Step-by-step explanation:
1.) divide 225 by 2.2, which gives you 102.2727
2.) round to the nearest tenth
Solve for a
3a +1=4. With a 7 under it
Answer:
a=9
Step-by-step explanation:
(3a+1)/7=4
This deals with linear equations with one unknown.
Overview
Steps
Terms and topics
1 result(s) found
a=9
See steps
Step by Step Solution:
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3*a+1)/7-(4)=0
Step by step solution :
STEP
1
:
3a + 1
Simplify ——————
7
Equation at the end of step
1
:
(3a + 1)
———————— - 4 = 0
7
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 7 as the denominator :
4 4 • 7
4 = — = —————
1 7
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(3a+1) - (4 • 7) 3a - 27
———————————————— = ———————
7 7
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3a - 27 = 3 • (a - 9)
Equation at the end of step
3
:
3 • (a - 9)
——————————— = 0
7
STEP
4
:
When a fraction equals zero
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(a-9)
——————— • 7 = 0 • 7
7
Now, on the left hand side, the 7 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (a-9) = 0
Equations which are never true:
4.2 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.3 Solve : a-9 = 0
Add 9 to both sides of the equation :
a = 9
One solution was found :
a = 9
Hope this helps! Please mark Brainliest!
You start at (-3,0). You move down 2 units and left 1 unit. Where do you end?
Answer: should end up on (-4 , -2)
Step-by-step explanation:
3(x-5) = 5x - (3 - x)
Answer:
X=-4
Step-by-step explanation:
Answer: Isolate the variable by dividing each side by factors that don't contain the variable.
X= -4
Step-by-step explanation:
Are rational numbers closed under squaring?
Answer:
The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication
Step-by-step explanation:
674
x 38
Multiply by the ones.
Multiply by the tens.
+ Add the partial products.
+
Answer:
25612
Step-by-Step Explanation:
Simple multiplication
A science test is worth 100 points and has 25 questions. There are multiple choice questions worth 3 points each and short essay questions worth 8 points each. How many short essay questions are on the test?
Answer:
There can be up to 12 short essay questions
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answer:
x= 14
y=5
Step-by-step explanation:
AOC and BOD are vertical angles so they are equal
AOC = BOD = 25
MOD = 90
MOD = MOB+ BOD
90 = 3x+23 + 25
Combine like terms
90 = 3x +48
Subtract 48 from each side
90-48 = 3x
42 = 3x
Divide by 3
42/3 = 3x/3
14 =x
We know that 5y+ 3x +23+90 = 180 since AB is a straight line
5y+ 3x +113 = 180
subtract 113 from each side
5y+3x =67
5y+ 3*14 =67
5y +42 = 67
5y = 67-42
5y = 25
Divide by 5
y = 25/5
y =5
Answer:
Step-by-step explanation:
x=14
what is 2 days to 12 hours in a ratio
Answer:
1:4 ? not really sure entirely what this question is asking. more context pls ?
Step-by-step explanation:
Answer:
2 to 12?
Step-by-step explanation:
Solve this equation. Enter your answer in the box.
3.5z – 2.7z = –6
z= ?
Answer:
z= -7.5
Step-by-step explanation:
subtract 3.5 from 2.7 = .8
.8z = -6
divide .8 from each side
z= -7.5
Answer:
-7.5
Step-by-step explanation:
What is the answer I don’t understand how to do it
Answer:
= -22
Step-by-step explanation:
In a simple way to say it, all you have to do is add.
Remember that two negatives being added together will remain a negative.
Think of a number line, -11 would be on the left side of the 0. If you subtract another 11, you move 11 spaces more to the left. This gives you -22.
Or simply add the 11 and then add the negative sign next to it.
-(11+11)= -22
Hope this helps! :)
How many tens do you see?4.There are 4 tens and how many ones?0.4 tens = 0 ones
place the items in order from lowest to highest degree of internal organization
stomach
digestive system
epithelial stomach cell
stomach lining tissue
Answer:
Simplest
1)Epithelial stomach cell
2)Stomach lining tissue
3)Stomach
4)Digestive system
Most complex
Answer:
1)Epithelial stomach cell
2)Stomach lining tissue
3)Stomach
4)Digestive system
I hope this helps
solve this please!!!!!!!!!!
Answer:
x= 3/a
Step-by-step explanation:
check the attachment for a walkthrough!
The value of 30 - (2 - 4) ÷ (-2) is _____.
-16
31
-14
29
Answer:
29.
Step-by-step explanation:
10. 2x =3 - 4y
Contains the point (-4,3)
Answer:
I don’t know what you’re trying to find but that equation does not contain the point.
Step-by-step explanation:
explain and give an example of how "power to a power" rule is different from "Multiplying powers" rule.
Respond to the following question with either a TRUE or FALSE: "The following parabola opens down: f (x) = -x2 + 5"
O TRUE because the leading coefficient is negative.
O TRUE because the linear function is negative.
O FALSE because the 5 is.positive.
O FALSE because this function is actually linear and not a parabola.
O I'm not sure how to approach this problem...yet.
Answer: A) True because the leading coefficient is negative
Explanation:
The leading term is -x^2 since this term has the largest exponent.
The leading coefficient is -1 as it's the coefficient of the leading term.
It might help to write -x^2 as -1x^2
The negative leading coefficient makes the parabola open downward, so each endpoint goes off to negative infinity. The graph looks like a frowny face. You can think of a negative emotion going with a frowny face, so that negative emotion matches with the negative leading coefficient. There are probably other ways to remember but that's the trick I use.
Which error did Mathieu make?
He factored incorrectly.
He did not use the constant as the x-intercept.
He set the factored expressions equal to each other.
He incorrectly solved the equation x + 3 = x + 1.
Answer:
C
Step-by-step explanation:
Plz mark brainliest
The error is he set the factored expressions equal to each other(option3).
What is X-intercepts?In a graph, the point where the line or curve crosses the axis is called the intercept. If a point crosses the x-axis it is x-intercepts. If a point crosses y-axis it is y-intercepts.
For finding x-intercepts of the given function,
First we have to factorize the given equation and then find the x values .
In [tex]f(x)=x^{2} +4x+3[/tex]
When we factorize we get , (x+3) and (x+1)
i.e., x+3=0⇒x=-3, x+1=0⇒x=-1.
That is x- intercept is -1 and -3.
Instead of this step Mathieu equated x+3=x+1.
This makes an error.
Hence, the error is he set the factored expressions equal to each other.
Learn more about x-intercepts here:
https://brainly.com/question/12648810
#SPJ6
If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie? Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at 0, 2, D at negative 1, 1. (−4, 1) (1, −1) (1, 1) (−4, −1)
Answer:
(-4, 1)
Step-by-step explanation:
Answer:
(-4,1)
Step-by-step explanation:
I took the quiz and got it right
0
What is the value of 12?
Answer:
1
Step-by-step explanation:
[remember: any number raised to the power of 0 is 1]
∴ 12^0 = 1
hope it helps you!!
Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of -36.14 degrees Celsius and a boiling point of 324.84 degrees Celsius . What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid state?
Answer:
i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.
ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.
Step-by-step explanation:
Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.
Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:
F = [tex]\frac{9}{5}[/tex] θ + 32
where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.
Given that: melting point of the substance = [tex]-36.14^{o}[/tex]C
⇒ F = [tex]\frac{9}{5}[/tex] x [tex]-36.14^{o}[/tex] + 32
= [tex]-33.052^{o}[/tex]F
The boiling point = [tex]324.84^{o}[/tex]C
F = [tex]\frac{9}{5}[/tex] x [tex]324.84^{o}[/tex] + 32
= [tex]616.712^{o}[/tex]F
The melting point of the substance is [tex]-33.052^{o}[/tex]F, and boiling point is [tex]616.712^{o}[/tex]F.
Therefore, the range of temperatures for which the substance is not in a liquid state are:
i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.
ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.
I need this today and in a few minutes not hours!!!
Answer: I think its D if not its C im sorry if its wrong!
Step-by-step explanation:
Answer:
[tex]the \: \: answer \: \: of \: \: this \: \: question \: \: is \: \:1 \frac{17}{25} [/tex]
A. 1 17/25 is the correct answer of this question.Thank you ☺️☺️
John took all his money from his savings account. He spent 198 on a radio and 4/12 of what was left on presents for his friends. Of the money remaining, John put 2/9 into a checking account and the last remaining 980 was left to charity. How much money did John originally have in his savings account?
Answer:
John had $2088 originally in his savings accounts.
Step-by-step explanation:
Let John had $x originally in his saving account
He spent $198 on a radio. The remaining money = x - $198
4/12 of what was left, he spent on presents for his friends. Remainig money = x - 198 - 4/12*(x-198)
= (1 - 4/12) of (x-198)
= 2/3 of (x-198)
John then put 2/9 if his remaining money into a checking account.
Now, the remaining money = 2/3*(x-198) - 2/9 of (x-198)
= (1 - 2/9) * 2/3*(x-198)
= 7/9 * 2/3*(x-198)
= 14/27(x-198)
Money left with him = $980
14/27(x-198) = $980
x - 198 = $980 * 27 / 14
x - 198 = 1890
x = 1890 + 198
x = 2088
Hence, John had $2088 originally in his savings accounts.
What is the equation of this graph?
A. y = 2x + 7
B. y = -2x + 7
C. y = -2/7x + 7
D. y = -7/2x + 7
E. y = -7/2x + 2
(-9.5) to the power of 0