Answer:
[tex]36[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 12x = 21[/tex]
Required
Make a perfect square
First, get the coefficient (k) of x
[tex]k = -12[/tex]
Divide by 2
[tex]\frac{k}{2} = \frac{-12}{2}[/tex]
[tex]\frac{k}{2} = -6[/tex]
Square this result:
[tex](\frac{k}{2})^2 = (-6)^2[/tex]
[tex](\frac{k}{2})^2 = 36[/tex]
Hence, 36 when added to the left-hand side makes it a perfect square trinomial
Evaluate the expression 6^2 + x - x^26
2
+x−x
2
6, squared, plus, x, minus, x, squared for x=3x=3x, equals, 3.
Answer:
The answer is 30 :)
Step-by-step explanation:
I had this question on khan academy
have a good day and stay safe!
The value of expression at x = 3 is,
⇒ 30
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 6² + x - x²
Now, We can simplify as;
⇒ 6² + x - x²
⇒ 36 + x - x²
Put x = 3;
⇒ 36 + 3 - 3²
⇒ 36 + 3 - 9
⇒ 36 - 6
⇒ 30
Thus, The value of expression at x = 3 is,
⇒ 30
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
PLEASE HELP!! ILL MAEK BRAINLIEST IF RIGHT THANKS!!
Which inequality represents the sentence below?
The difference of –3.2 and the sum of a number and 19.1 is at most 14.2.
Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2
Negative 3.2 minus x + 19.1 less-than-or-equal-to 14.2
Negative 3.2 minus (x + 19.1) greater-than-or-equal-to 14.2
Negative 3.2 minus x + 19.1 greater-than-or-equal-to 14.2
Answer:
Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2
Step-by-step explanation:
Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2
The sporting goods store has a pair of soccer cleats on sale for $52. Without the sale they are $75. What is the percent of decrease? (Round to the nearest percent.)
Answer:
nl i can't give sorry again
Please helpppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
JP = 36
Step-by-step explanation:
Since JN is the entire line, then just divide 54 by 3 which equals to 18, then add 18 + 18 which equals to 36. You want to do this because an entire line segment is in 3 units (JN) , so which mean (JP) is 2/3 or 2 units of 3.
for valentines day miranda is bringing cards to class. the number of cards she brings in is based on the number of students in her class
c= the number of cards
s= the number of students
which of the variables is independent and which is dependent
Answer:
c dependent on s
Step-by-step explanation:
c is dependent on s and s can be any value
Yeah I need some help, I'm kinda confused on this entire test.
Answer:
Answer would be D
Step-by-step explanation:
Please Help Me!!!!!!!
Answer:
D
Step-by-step explanation:
(6, 24) this ordered pair has an x-value of 6 and a y-value of 24
The only equation, if you substitute those values into it, which works is D.
24 = 4(6)
24 = 24
6x + 3y = 12 solve for y
Answer:
Y= -2x+4
Step-by-step explanation:
Put it in slope intercept form
y=mx+b
Now subtract 6x on both sides to get y isolated
3y=12-6x
Now divide 3 on both sides to get y by itself
y=4-2x
Now in slope intercept form is
y= -2x+4
mandy flips a quater 360 times .how many time should she expect to see heads
Answer:
180
Step-by-step explanation:
Which of the following is the slope intercept form of the equation
3x - 8y = 16
A- y = 3/8x + 2
B- y = 3/8x - 2
C- y = -3/8x + 2
D- y = -3/8x - 2
Answer:
y = 3/8 x - 2
Step-by-step explanation:
Put 8y on the other side to get
8y + 16 = 3x
8y = 3x - 16 and thus
y = 3/8 x - 2
Solve, using a proportion.
If there are 75 pepperoni on
5 large pizzas, how many pepperoni
are there on 3 large pizzas?
Answer:
There are 45 pepperoni on 3 large pizzas
Step-by-step explanation:
Here, we want to use proportional relationship to solve this;
75 pepperoni to 5 large pizzas
x pepperoni to 3 large pizzas
75 * 3 = x * 5
x = (75 * 3)/5
x = 15 * 3 = 45
How to classify triangles by its sides and by its angles help pls
Step-by-step explanation:
triangle with 2 sides of equal lengths= isoceles
triangle with 3 sides of equal lengths= equilateral
Answer:
if the two sides are congruent, then it's an isosceles triangle.
all angles congruent and it's an equilateral.
all angles unequal and it's a scalene.
if all the angle measures are less than 90 degrees, then it's acute, but more than 90 degrees would be obtuse.
Please help me with this homework
Step-by-step explanation:
Negative slope
Its going from left to right.
Someone please help me I will give brainliest! IT SOOOO HARD FOR ME!
Answer:
Step-by-step explanation:
We can do this by cross multiplying.
14/6=x/21
=49/21
please any one knows the answer I only have 2 minutes left
What five-letter word becomes shorter when you add two letters to it?
Answer:
short .
short becomes shorter when you add er .
Step-by-step explanation:
Answer:
shorter
Step-by-step explanation:
short
shorter
Order the following fractions from least to greatest 2/8 2/3 2/9
Answer:
2/9, 2/8, 2/3
Step-by-step explanation:
2/9= 0.22 (to 2 decimal point)
2/8= 0.25
2/3 = 0.67
Convert 40.64 centimeters to inches.
1 Inch = 2.54 centimeters
PLS HELP!!!
Morristown City Cafe recently introduced a new flavor of coffee. They served 24 grande cups and 51 jumbo cups of the new coffee today, which equaled a total of 1,506 ounces. The day before, 26 grande cups and 66 jumbo cups were served, which used a total of 1,868 ounces. How much coffee is required to make each size?
Please help! I am so confused on this, I've probably been stuck on it for at least an hour.
9514 1404 393
Answer:
see attached for the drawing
slope = -1/2
Step-by-step explanation:
For the rise of -1 and the run of 2, the slope is ...
m = rise/run = -1/2 . . . . slope in simplest form
__
Additional comments
It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.
On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.
We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.
Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.
I will mark brainliest for the best answer!!!! Please show FULL SOLUTIONS. THANK YOU.
Question: Determine The Value Of X.
9514 1404 393
Answer:
x = 78
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so the sum of angles is ...
x° +x° +24° = 180°
2x +24 = 180 . . . . . collect terms
x + 12 = 90 . . . . . . . divide by 2
x = 90 -12 . . . . . . . . subtract 12
x = 78
_____
Additional comment
The base angle of an isosceles triangle is always the complement of half the third angle. That angle's bisector is an altitude, so divides the isosceles triangle into two congruent right triangles.
Which expression is equivalent to this one?
Answer:
The answer is 1
plz help im confused on how this works. If a triangle has side lengths of 7.5 and 4.8, what is the range of lengths for the third side
Answer:
it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.
Step-by-step explanation:
Mrs. Goerlich deposited $2,000 into a savings account to save for her son's college tuition. • The account earns simple interest. • She did not make any additional deposits or withdrawals. • At the end of 6 years, the account has a balance of $2,780. What is the annual interest rate on this account?
Answer: 6.5%
Step-by-step explanation:
In 6 years the interest earned is:
= 2,780 - 2,000
= $780
The account earns simple interest which means that it increased by the same rate yearly. Yearly increase is:
= 780/6
= $130
Simple interest rate = Interest payment/ Deposit
= 130/2,000
= 6.5%
i need help 42/18 simplified.
Answer:
The simplest form of 42/18 is 7/3 or 2 1/3
Step-by-step explanation:
Answer:
7/3 or 2 and 1/3
Step-by-step explanation:
So first you have to find what is GCF of 42 and 18, which is 6 so divide 42 and 18 by 6 and you get 7/3 which is your simplified fraction but you can make this into a mixed number which would be 2 and 1/3
choose the definition for the function y={x+1 x≤2 x+2 x>2 y={x+1 x>2 x+2 x≤2 y={x+1 x
Answer:
D
Step-by-step explanation:
Yuto solved the equation below.
Negative 2 (x + 5) = negative 2 (x minus 2) + 5
What is the solution to Yuto’s equation?
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
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-2(x + 5) = -2(x - 2) + 5
Step 2: Solve for x
Distribute -2: -2x - 10 = -2x + 4 + 5Add: -2x - 10 = -2x + 9Add 2x on both sides: -10 ≠ 9Here we see that -10 does not equal 9.
∴ x = no solutions.
Answer:
no solution
Step-by-step explanation:
:)
Mariah purchases three hair barrettes by using a gift card, which starts with a balance of $35.79. Which expression models her purchase? 3 b minus 35.79 35.79 + 3 b 35.79 b minus 3 35.79 minus 3 b
Answer:
35.79 minus 3 b
Step-by-step explanation:
Mariah purchases three hair barrettes by using a gift card, which starts with a balance of $35.79.
Let the number of barrettes be represented by b
She purchases 3 barrettes
Hence = 3 × b = 3b
Hence, the expression that models her purchase is given as:
$35.79 - 3b
Answer:
35.79-3b
Step-by-step explanation:
The value of the gift card 35.75 minus the cost of 3 barrettes (3b).
so 3b stands for 3 barrettes.
In the diagram below, RS and ST are perpendicular.
Which equation represents ST ?
А.
-x+ 3y = 9
В.
3x + y = 13
C
-3x+y=-13
D
3x + y=23
Answer:
A==−x+3y=9
Step 1: Add -3y to both sides.
−x+3y+−3y=9+−3y
−x=−3y+9
Step 2: Divide both sides by -1.
−x
−1
=
−3y+9
−1
x=3y−9
Answer:
x=3y−9
Evaluate −4(1/4)6x for x=1/3.
Enter your answer as a fraction in simplest form in the box.
Your friend claims that she has a bag of 30 coins containing nickels, dimes,
and quarters. The total value of the 30 coins is $3. There are twice as many
nickels as there are dimes. Is your friend correct?
9514 1404 393
Answer:
No
Step-by-step explanation:
If all 30 coins were nickels and dimes, there would be 10 dimes and 20 nickels, for a total value of $2.00. Trading a dime and 2 nickels for an equal number of quarters raises the value to $2.00 -0.10 -2(0.05) +3(0.25) = $2.55.
That is, each such trade adds $0.55 in value to the total amount. Since the original difference of $3.00 -$2.00 = $1.00 is not evenly divisible by $0.55, there cannot be twice as many nickels as dimes.
__
For 30 coins, possible numbers of {nickels, dimes, quarters} are ...
{21,2,7}, {18,6,6}, {15,10,5}, {12,14,4}, {9,18,3}, {6,22,2}, {3,26,1}, {30 dimes}
Note that we can have 1.5, 3, or 10.5 times as many nickels as dimes, but not 2 times as many.