Answer:
Step-by-step explanation:
In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:
[tex]x^2-2x=3[/tex]
Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2. Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:
[tex]x^2-2x+1=3+1[/tex]
Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is
[tex](x-1)^2=4[/tex] (set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y:
[tex]y=(x-1)^2-4[/tex]
From this it's apparent what the vertex is: (1, -4),
the axis of symmetry is x = 1, and
the y-intercept is found by setting the x's equal to 0 in the original equation and solving for y. So the y-intercept is (0, -3).
Your choice for the correct answer is the very last one there.
note: enter your answer and show all the steps that you use to solve this problem in the space provided. write and solve an equation that represents the following situation: 35 people paid a total of $245 for admission to a local soccer game. what is the price of admission?
The price of each admission is 7
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total amount paid for admission = $245
Total number of people=35
So,
let the price of admission be x
So, 35x= 245
Now dividing both side by 35
35x/35=245/35
x= 7
Hence, price of each admission is 7.
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What is the simplified value of
(a-3-2(a - 3)(a + 3) + (a + 3)??
help pls
i will be friend
Answer:
brainliest pls
Step-by-step explanation:
Zero Slope: its graph is a ____________ line. When the ____ is on the top (numerator) when using the slope formula. When the ___ values are the same when looking at a table.
Answer:
Horizontal, 0, y
Step-by-step explanation:
PLEASE HELP ITS DUE TMR
Answer:
it's 42 my bad...
Step-by-step explanation:
Answer:
Choice C 42 in^2
Step-by-step explanation:
Area of a triangle= 1/2(b)(h)
= 1/2(3)(6)
= 9
Since there is two triangles we can do:
9(2) = 18
Area of a rectangle = (b)(h)
= (4)(6)
= 24
24+18 = 42 in^2
can someone help? exams are tomorrow and i have no clue how to do this problem?
The angle measures of triangle ABC are given:
The measure of angle A is (2x−10)°.
The measure of angle B is 70°.
The measure of angle C is (4x)°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x=20
Step-by-step explanation:
By the Triangle Sum Theorem, the angles of a triangle add up to 180. So we can set up the equation like this:
2x-10+70+4x=180
Combine Like terms
6x+60=180
Subtract 60 from both sides
6x=120
Divide by 6 to isolate the variable
x=20
Answer:x= 20
Step-by-step explanation:
As the equation of three angles of a triangle is 180°,
Then, 2x-10+70+4x=180
6x=120
So,x= 20
please help asapp!!!?!!?!?!?
Step-by-step explanation:
the sum of interior angles in a triangle is 180°
so
2x+2+12x-8+6x+6=180
20x=180
x=180/20=9
so
m<A =6x+6=6*9+6=54+6=60
m<M=12x-8=12*9-8=100
m<N=2x+2=2*9+2=18+2=20
MAN is an obtuse triangle
because of 100° angle
question 4
isosceles
Can someone help me plz I will mark brainliest
Answer:
the answer its C i hope i Helped you
Step-by-step explanation:
Answer:
C. infinitely many solutions
Step-by-step explanation:
._. kan someone help?
Answer:
The third one
Step-by-step explanation:
it number 3 one no prob
Step-by-step explanation:
The sum of three consecutive numbers is 36. What are the numbers?
Answer:
11, 12, and 13
Step-by-step explanation:
Answer:
Step-by-step explanation:
11, 12, and 13
is 4(5c + 3) and 9c + 7 equivalent?
Answer:
No sir
Step-by-step explanation:
when you see Parentheses beside a number it means your mutiplying
your answer would be: 20c + 12
Answer:
Find the exact value using trigonometric identities.
20
c
+
12
Step-by-step explanation: 20 c + 12 c will give you your answer.
distance between (-4,0) and (2,2)
Which equation describes the lines passing through (4,-2) with a slope of 1/2?
A. y = 1/2x + 5
B. y = 1/2x + 4
C. y = 1/2x - 2
D. y = 1/2x - 4
Answer:
y = 1/2x +4
Step-by-step explanation:
Write in y = mx + b form.
Is 2xy=-8 a function ?
g(x)=x^2-4
f(x) = -2x-3
Find g(-6) – f(-6)
someone help and please show steps!! <3 10 points !!!
Answer:
23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x² - 4
f(x) = -2x - 3
g(-6) is x = -6 for function g(x)
f(-6) is x = -6 for function f(x)
Step 2: Evaluate
g(-6)
Substitute in x: g(-6) = (-6)² - 4Exponents: g(-6) = 36 - 4Subtract: g(-6) = 32f(-6)
Substitute in x: f(-6) = -2(-6) - 3Multiply: f(-6) = 12 - 3Subtract: f(-6) = 9g(-6) - f(-6)
Substitute: 32 - 9Subtract: 23Using the diagram below and with reference to the angle θ, state the length of the opposite side.
The diagram is not drawn to scale.
cm
Answer:
given,
θ is the angle of the opposite side
cm=θ
4 1/3 minus - 2/3
Please hurry!
Answer: 11/3
Step-by-step explanation:
(4 1/3) - (2/3) = (13/3) - (2/3) = 11/3
Answer: 5
Step-by-step explanation:
[tex]\displaystyle\\4\frac{1}{3} -(-\frac{2}{3})=\\\\ \frac{(4)(3)+1}{3} +\frac{2}{3}=\\\\ \frac{12+1+2}{3}=\\\\ \frac{15}{3}= \\\\5[/tex]
At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What was the original price?
Answer: $134.40
Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.
HELPPPPPP PLEASEEEEE !!!!!
Answer:
m∠DBC is 43°
Step-by-step explanation:
Let us solve the question
∵ D is in the interior of ∠ABC
→ That means D divides ∠ABC into two angles ABD and DBC
∴ m∠ABD + m∠DBC = m∠ABC
∵ m∠ABD = (3x + 5)°
∵ m∠DBC = (5x - 7)°
∵ m∠ABC = 78°
→ Substitute them in the equation above
∴ 3x + 5 + 5x - 7 = 78
→ Add the like terms in the left side
∵ (3x + 5x) + (5 + -7) = 78
∴ 8x + -2 = 78
∴ 8x - 2 = 78
→ Add 2 to both sides
∴ 8x -2 + 2 = 78 + 2
∴ 8x = 80
→ Divide both sides by 8
∴ x = 10
→ To find m∠DBC, substitute x by 10 in its measure
∵ m∠DBC = 5(10) - 7
∴ m∠DBC = 50 - 7
∴ m∠DBC = 43°
What is 1% of 75? explain how
Answer:
0.75
hope it helps
plz mark brainliest
Answer:
0.75
Step-by-step explanation:
1%×75
=1/100×75
=0.01×75
=0.75
Answer the following question and will mark Brainliest
Answer:
[0, ∞)
Step-by-step explanation:
The domain is the x values in a function. As you can see from the graph, the function touches zero (touching meaning the value zero is bracketed) and goes to infinity (infinity is parenthesis).
If a value is included it is bracketed. If it is not included it is used with parenthesis (infinity cannot be reached to it is used with parenthesis).
The senior class plans a school trip to Washington DC. Students should bring money for meals and
souvenirs. They are told to bring at least $60 but no more than $135. Write a compound inequality that
represents the amounts of money a student can bring.
Answer:
$65 ≤ x ≤ $135
Step-by-step explanation:
Now, one should know the meaning of compound inequality. A compound inequality is an inequality that simply combines the two simple inequalities.
Now, in an inequality, three relations are performed, equal to, less than, and greater than. You can combine 'equal to' with 'less than' or 'greater than' according to the situation given.
Notice that in the given sign
≤
the value on the left side of the pointed side will be small or lesser than the value on the right side. Also notify that if inverted, like this ≥
The value of the left side will be greater. This means the value at the pointed side will always be smaller. The lower bar is a sign of equal to
if this is written
x ≤ 3
It means that x can be equal to three or any value less than 3 means 2,1,0,-1, etc.
Now in the question given, it is stated that money should be not less than $65 means it can either be $65 or more but not less than it. Let's assume 'x' as the amount required,
So one inequality is
$65 ≤ x
The second condition which is amount should be no more than $135, means it can be $135 or less, so inequality is
x ≤ $135
Remember that we use AND in the answer because both statements of inequality need to be fulfilled or satisfied.
1/4 of the original price is marked down if the sales price is 128.00 what is the original price DONT not round your answer to the nearest hundredth
Answer:
Ipguifiyfohvlbouviyfiyfyivojviyc itcitditcyivuy if it go
Please help its math...I will give brainliest!
For a holiday sale, all items at Marty’s Electronics are discounted by 25%. Paula bought a laptop that had an original list price of $1,700. If 8% tax was applied to the sale after the discount was taken off, how much did Paula pay for her new computer? SHOW YOUR WORK! Thank you
Answer:
$1,377
Step-by-step explanation:
the way that I did it-
100-25=75
1700x0.75=1275
8%=0.08, just add a 1 to the sales tax whenever you are calculating that.
1275x1.08=1377
therefore it is $1,377
brainliest would be appreciated :)
What is the volume of this pyramid???????
Answer:
Step-by-step explanation:
A of base: l ×w =5×4=20cmsquared
Missing length of c=a+b=c
C=6+2
C=8cm
A of side 1= b×h÷2 ×2
= 5×8÷2×2
= 40 ÷2×2
=20 ×2
= 40 cm squared
A of side 2= b×h÷2×2
= 4×8÷2×2
= 32 ÷ 2 ×2
= 16 ×2
= 32cm squared
Total of pyramid is = area of base + A
off side 1 + A if side 2
=92 cm cubed
In the following expression, 7x +15, what is the 7?
A. coefficient
B. term
C. constant
D. variable
Answer:
A. coefficient
Step-by-step explanation:
A constant is the number that isn't with any variable, which in this case, the constant would be 15.
A variable is a unknown value, which in this case, the variable would be x.
The term are the numbers in the equation, which in this case, the terms would be 7x and 15.
The 7 in the expression 7x + 15 is the coefficient.
The correct option is A.
What is an expression?A term is composed of one mathematical expression. A single variable (a letter), a single integer (positive or negative), or a number of variables that have been multiplied but never added or subtracted are all examples of single variables. There is a number in front of certain words that are variables. A word or phrase is preceded by a coefficient.
In general, a coefficient is the numerical factor of a term that contains a variable. In this case, the term containing the variable x is 7x, and the coefficient of this term is 7. The term 15 is a constant term, which is a term that does not contain any variables.
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Solve for linear equations by substitution
x + 2y = 6
X-y=3
Answer:
Let's solve your system by substitution.
x+2y=6;x−y=3
Step: Solvex+2y=6for x:
x+2y=6
x+2y+−2y=6+−2y(Add -2y to both sides)
x=−2y+6
Step: Substitute−2y+6forxinx−y=3:
x−y=3
−2y+6−y=3
−3y+6=3(Simplify both sides of the equation)
−3y+6+−6=3+−6(Add -6 to both sides)
−3y=−3
−3y
−3
=
−3
−3
(Divide both sides by -3)
y=1
Step: Substitute1foryinx=−2y+6:
x=−2y+6
x=(−2)(1)+6
x=4(Simplify both sides of the equation)
Answer:
x=4 and y=1
Step-by-step explanation:
Answer:
x=4 and y=1
Help please. Thanks!!!!!
Answer:
slope: 20/3 parallel
Step-by-step explanation:
y1-y2/x1-x2 gives you slope(30--10/12-6). Plot the points, create line segments, you'll find that they are parallel.
Answer:
1. 6[tex]\frac{2}{3}[/tex]
2. Parallel
Step-by-step explanation:
To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{30-(-10)}{12-6}[/tex]
= [tex]\frac{40}{6}[/tex]
= 6[tex]\frac{2}{3}[/tex]
If a graph has more than a point on the y-axis even though the x-axis remains the same, it means that it is a vertical line. Since Graph 1 has (-1) on the x-axis but there are two points on the y-axis, 4 & (-9), it is a vertical graph. Since Graph 2 has (11) on the x-axis but there are two points on the y-axis, (-2) & 6, it is also a vertical graph. Thus, both graphs are parallel.
help if you can please !!
Answer:
i think 160 or somewhere close to that
Step-by-step explanation:
Answer:
the answer is 120ft
Step-by-step explanation:
all you need to do is length times width so 15×8 and you'd get 120 don't forget the ft hope this helps you.