Answer:
(x + 3)² - 12
Step-by-step explanation:
x²+6x-3
= x²+ 6x + 9 - 12
= (x + 3)² - 12
The form of x² - 6x + 3 can be written as (x-3)² - 6.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that;
Equation= x² - 6x + 3
Now,
To write x² - 6x + 3 in the form (x-a)²+ b, we can use the method of completing the square. This involves adding and subtracting a constant term to make the expression a perfect square trinomial. Here are the steps:
Write x² - 6x + 3 as x² - 6x + ___ - ___ + 3, leaving two blanks for the constant term.
To find the constant term, divide the coefficient of x by 2 and square it. In this case, -6/2 = -3 and (-3)² = 9. So we fill in the blanks with 9 and get x² - 6x + 9 - 9 + 3.
Factor the first three terms as a perfect square: (x - 3)² - 9 + 3.
Simplify the last two terms: (x - 3)² - 6.
Compare with the form (x-a)²+ b and identify a and b. In this case, a = 3 and b = -6.
Therefore, by the given equation the answer will be (x-3)² - 6.
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Refer to the Exhibit Student Grades. The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A
This question is incomplete, the complete question is;
Refer to the Exhibit Student Grades. A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.
The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A
Answer:
the minimum score needed to receive a grade of A is 88.51
Step-by-step explanation:
Given the data in the question;
Let x represent the grades of the students that were normally distributed with mean μ = 73 and standard deviation σ = 11.
so, The professor has informed the class that 7.93 percent of her students received grades of A
the minimum score needed to receive a grade of A will be:
P( X > x ) = 7.93 %
P( X > x ) = 0.0793
1 - P( X ≤ x ) = 0.0793
- P( X ≤ x ) = 0.0793 - 1
- P( X ≤ x ) = - 0.9207
P( X ≤ x ) = 0.9207
⇒ P( X-μ/σ ≤ x-μ/σ ) = 0.9207
so, x-μ/σ = InvNormal( 0.9207 )
x-μ/σ = 1.41
(x - 73) / 11 = 1.41
(x - 73) = 1.41 × 11
(x - 73) = 15.51
x = 15.51 + 73
x = 88.51
Therefore, the minimum score needed to receive a grade of A is 88.51
Preston drove 115 miles and used up 6
gallons of gas. How many milea can he
drive with 14 gallons of gas?
Hurrry please
Answer:
269gallons
Step-by-step explanation:
115/6=19.16
19.16*14=268.33 or round up to 269
Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?
Answer:
The sweater cost 30 dollars.
Step-by-step explanation:
Set up a proportion
x/510 = 250/4250 Multiply both sides by 510
x = 250 * 510/4250 multiply 250 * 510
x = 127500 / 4250 Divide by 4250
x = 30
try filling out the table.
4250 250 dollars
425 25 dollars
425/25 1 dollar
17 1 dollar
17*3 3 dollars
51 3 dollars
51*10 30 dollars
510 30 dollars.
make a graph on f(x)=−3/2(x+1)(x−5)
Answer:
explanation below
Step-by-step explanation:
f(x) = −3/2(x+1)(x−5) = -3/2 (x²-4x-5) = -3/2 (x²-4x+4-9) = -3/2 ((x-2)² - 9)
f(x) = -3/2 (x-2)² + (-3/2)*(-9) = -3/2 (x-2)² + 13.5
There are points to be referenced for the graph:
vertex (2 , 13.5) axis of symmetry: x = 2
roots: (-1 , 0) (5 , 0)
-3/2 : curve downward
a line passes through the point (-8,5) and has a slope of 5/4 write an equation in slope intercept form
What is the measure of XYZ?
Answer:
a. An inscribed angle is 1/2 the intercepted arc. The intercepted arc is 68°. The measure of angle xyz is therefore 34°.
Answer:
34 degrees
Step-by-step explanation:
I arrive at 5:52 and play for 1 hour and 12 mins. What time do I stop playing?
Answer:
7:04 p.m.
Step-by-step explanation:
Answer:
7:04
Step-by-step explanation
12-8 + 4
5:52 + 0:08 = 6:00
6:00 + 1:00 + 7:00
7:00 + 0.04 = 7:04
whoever answers it gets 5 staars
Answer:
the line crosses the y-axis below the origin
Step-by-step explanation:
charlotte has 3 yards of fabric she needs to cut the fabric into 7 equal peices. how many yards long should each peice of fabric be?
Answer:21
Step-by-step explanation:
the sum of present ages of Anil and Sunil is 22 years. if anils present age is one-half of sunils present Age plus 4 years .find their present age
Answer:
A+S=22
A=S/2+4
Multiply second equation by 2 and rearrange.
2A-S=8
Add equations 1 and 3.
3A=30
A=10
Substitute for A in either of the first 2 equations to get
S=12
Step-by-step explanation:
Andrew had a balance of $263.72 in his checking account. He had deposits to his account of $24.85, $131.63, and $58.29. He had withdrawals to his account of $74.25 and $25.00. What is the new balance in Andrew’s account? WHOEVER ANSWERS FIRST GETS BRAINLIESt
Answer:
$379.24
Step-by-step explanation:
263.72+24.85+131.63+58.29=478.49
478.49-74.25-25=379.24
Hope this helped :)
Plz mark as Brainliest :)
can somebody help? :(
Answer:
What is the question??????????
Hi can anyone help me? :)
Answer:
[tex]d(n) = - ( {7}^{n - 1} )[/tex]
How can we get system B for system A?
And
Are the systems equivalent?
Answer: Subtract the equations in system A.
=============================================================
Explanation:
The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.
There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.
For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y
So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.
Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.
Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.
can you relate this lesson to your real-life situation
Answer:
This is nothing related to real life. The only thing is it helps with trigometry, programming shapes, and so on
Step-by-step explanation:
agenthammerx Please help me on this I beg you
Answer:
48°∠Y ≅ ∠XStep-by-step explanation:
Question 1Prove that The two triangles are congruent
∠ABD ≅ ∠BDC - givenBD ≅ DB - reflexive property∠ADB ≅ ∠CBD - givenΔABD ≅ ΔCDB - ASA postulateFind the measure of angle C
∠A ≅ ∠C - Corresponding parts of congruent trianglesm∠C = m∠A = 180° - (62° + 70°) = 180° - 132° = 48°Question 2Given
ΔXYZ with XZ ≅ YZOpposite angles are corresponding to the sides.
Therefore the angles opposite to congruent sides are also congruent:
∠Y ≅ ∠XA disc has a radius of 31 cm. What is the circumference of
the disc, rounded to the nearest whole number? (Convert the
fraction to a decimal)
A.38 cm.
B.154 cm
C.22 cm
D.11 cm
Answer:
22 cm
Step-by-step explanation:
radius is 3 1/2 cm, which is 3.5 in decimal form
the circumference comes out to be 21.99, which is rounded to 22.
A can of dog food is on sale for 20% off the original price. If the original price is 1.35, what is the discount?
Answer:
You will pay $1.08 for a item with original price of $1.35 when discounted 20%
Step-by-step explanation:
I'm supposed to write out an algebraic equation, and then solve the equation. If you can help me, with work shown, you'll get voted Brainliest.
Find three consecutive even integers such that four times
the first minus the third is six more than twice the second.
Answer:
simple just follow me and mark it brainliest
Step-by-step explanation:
LET THE THREE CONSECUTIVE EVEN INTEGERS BE
(x+2) ,(x+4) ,(x+6)
then
according to the question
4(x+2) – (x+6) = 2(x+4) + 6
4x + 8 – x – 6= 2x + 8+6
3x +2 = 2x + 14
3x – 2x= 14 –2
x= 12
the numbers are
14
16
18
Answer:
The three numbers are 14, 16, 18.
Step-by-step explanation:
Consecutive even integers differ by 2.
You can let the smallest of the three numbers equal x. Then the other two numbers are x + 2 and x + 4.
Now use x, x + 2,and x + 4 to represent the 3 numbers and follow the directions to write an equation. The equation will have only one variable, x, so you can solve for x.
"four times the first" -----> 4x
"minus the third" -------> -(x + 4)
"is" -----> =
"six more than twice the second" ------> 2(x + 2) + 6
Put all the pieces in boldface together to arrive at your equation.
4x - (x + 4) = 2(x + 2) + 6
Simplify the parentheses on both sides by distributing.
4x - x - 4 = 2x + 4 + 6
Combine like terms on both sides.
3x - 4 = 2x + 10
Subtract 2x from both sides.
x - 4 = 10
Add 4 to both sides.
x = 14
The smallest number is 14.
x + 2 = 14 + 2 = 16
x + 4 = 14 + 4 = 18
Answer: The three numbers are 14, 16, 18.
A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+3t^0.4, where t is the time in seconds and S(t) is the distance in feet from the top of the building.
Answer:)
Step-by-step explanation:
Cumulative Frequency (C.F)
a- The fraction or percentage of
observation below the upper
boundary of each successive
interval.
b- The absolute frequency divided
by the total number of observation.
C-Its obtained by adding relative
Frequency
d-b and c
e-a and c
f-all of the above.
Answer:
number 2 + 4i is one of the root to the quadratic equation x 2 + bx + c = 0, where b and c are real numbers. a) Find b and c b)
Step-by-step explanation:
1/2a - 6 = 3 + a solve for a plssss
A rectangular room is 14 feet by 20 feet. A rectangular rug is placed in the room so that a 2-foot border of floor around the edge of the room is not covered by the rug. What is the area of the rug?
Answer:
the rug should be 10 feet by 16 feet
this makes the area 160 foot squared
Step-by-step explanation:
there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.
160
top correct lolssssss
  Please help this is due today please i really need help it’s due in 5 hours!!!
Given parallelogram FGHI determine the missing information
Don’t answer with one answer, blank or ridiculous answer please this is serious
Answer:
y = 3 cm and x = 2.5 cm
Step-by-step explanation:
As we can see it is a parallelogram so
y = 3 cm (being opposite sides of parallelogram)
Now while calculating the diagonal we can use the Pythagoras relation. i.e
perpendicular (p) = 4 cm (IH)
Base (b) = 3 cm (FI)
Hypotenuse (h) = FH = ?
We know by using Pythagoras theorem
h = √ p² + b²
= √ 4² + 3²
= √ 25
= 5 cm
Here we got FH = 5 cm
so the value of x will be 2.5 cm as the diagonal bisects.
Hope it will help :)
The rectangle shown below has a diagonal of 15 cm and a width of 7 cm. To the nearest centimeter, what is the length, x, of the rectangle? Round your answer to the nearest tenth. 15 7 X
how do you solve 3x-7 over 3
Answer: x - 7/3
Step-by-step explanation:
I think thats the farthest you can go with this problem
Answer:
Let's simplify step-by-step.
3x−7^3
=3x−343
Step-by-step explanation:
Pls help this is my last points
Answer:
520 - 10x = 380
Step-by-step explanation:
x= 14
Answer:
520-10x=380
x = 14
Step-by-step explanation:
Please help will give brainleist
Answer:
[tex]7\frac{1}{2}[/tex] square feet
Step-by-step explanation:
2 * [tex]3\frac{3}{4}[/tex] = 2 * 15/4 = 15/2 = [tex]7\frac{1}{2}[/tex] square feet
Plz help its a riddle
Answer:
30
Step-by-step explanation:
the shoe=20
the person=5
the glasses=2
20+5×2
PEMDAS
5×2=10
10+20
=30
Answer:
The ans is 30
Step-by-step explanation:
the is shoe=20
the is person=5
the is glasses=2
20 shoes +5 people×2 glasses
5×2=10
10+20
=30
(hope this helps can i plz have brainlist :D hehe)
a biologist analyzes 15 bacteria samples each day a. complete the table
Answer:
Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15
Step-by-step explanation:
The complete table:
Days 1 2 3 4 5
Total samples 15 30 45 60 75
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of bacteria samples analyze each day = 15
The equation for the number of bacteria analyzes after x days.
B = 15x
Now,
x = 1, B = 15
x = 2, B = 30
x = 3, B = 45
x = 4, B = 60
x = 5, B = 75
Thus,
Days 1 2 3 4 5
Total samples 15 30 45 60 75
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