Answers
x2=36
We move all terms to the left:
x2-(36)=0
We add all the numbers together, and all the variables
x^2-36=0
a = 1; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·1·(-36)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ‾‾√=144‾‾‾‾√=12
x1=−b−Δ√2a=−(0)−122∗1=−122=−6
x2=−b+Δ√2a=−(0)+122∗1=122=6
9514 1404 393
Answer:
x = -6 or +6
Step-by-step explanation:
You know from your multiplication tables that 6×6 = 36, so one answer is ...
x = 6
You also know that the product of two negative numbers is positive, so another answer is ...
x = -6
__
Check
x² = 6² = 6×6 = 36
x² = (-6)² = (-6)×(-6) = 36
_____
Alternate approach
If you like, you can rewrite the equation as ...
x² -36 = 0
This can be factored to ...
(x -6)(x +6) = 0
The zero product rule tells you this product will only be zero if one or the other factors is zero.
x -6 = 0 ⇒ x = 6
x +6 = 0 ⇒ x = -6
The two solutions are x = ±6.
Related Questions
Jane bought 1.25 pounds of turkey. One pound of turkey costs $5.20. Before tax, how much did Jane pay for the turkey?
Answers
Answer:
5.408
Step-by-step explanation:
1=5.20
0.25=408
What is the value ( 1.6 x -0.25) x 4 to the second power
Answers
Answer:
2.56
Step-by-step explanation:
( 1.6 x -0.25) x 4= -1.6
(-1.6)^2 = 2.56
2(3x+4) - 2x = 24
I need help rq on this problem I need to solve it
Answers
6x + 8 - 2x = 24
Combine like terms.
6x - 2x = 4x
4x + 8 = 24
Subtract 8 on both sides.
4x = 16
Divide by 4.
x = 4
Answer: x=4
Step-by-step explanation:
Given
2(3x+4)-2x=24
Expand parenthesis
6x+8-2x=24
Combine like terms
4x+8=24
Subtract 8 on both sides
4x+8-8=24-8
4x=16
Divide 4 on both sides
4x/4=16/4
x=4
Hope this helps!! :)
Please let me know if you have any questions
2)
A liter of water has a mass of 1 kilogram. What is the mass of the water in grams?
A)
1
B)
10
100
D)
1000
Answers
HELP I NEED HELP ASAP
Answers
Answer:
i think its; there all inequalities
Step-by-step explanation:
PLEASE HELP
The table shows values for functions f(x) and g(x)
What is the solution to f(x) = g(x) select each correct answer
Answers
Answer: -3 and 0
Step-by-step explanation: f(x) = g(x) where they intersect. Two lines intersect when they have the same x and y values.
Please help due tonight
Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?
Answers
3b+5d=34
2b+6d=36
This is a simultaneous equation
Times top equation by two and bottom by 3
6b+10d=68
6b+18d=108
Subtract bottom equation by top one
-8d=-40
d=5
substitute this into an equation
3b+25=34
-25 from both sides
3b=9
b=3
drink is $5 burger is $3
What is a decimal that is equivalent to the fraction 8/10
? Enter the answer in the box.
Answers
Answer:
0.8
Step-by-step explanation:
Answer:
.8
Step-by-step explanation:
PLS HELP ILL GIVE BRAINLIEST!!
Answers
Answer:
y = -7/2x - 7
Step-by-step explanation:
let me know if you need the steps . . .
What is the measure of the angle in degrees? (Write number in answer only) help me muhahahah
Answers
Step-by-step explanation:
it is 18 degrees.
I guess
Conjecture: The difference between two negative numbers is always negative. Write a counterexample. *
Answers
On a map of hiking trails, 0.5 inch represents 1 mile. A trail is shown as 1.25 inches long on the map. How long is the actual trạil?
Answers
Answer:
2.5 miles
Step-by-step explanation:
Answer:
The actual trail length is 2.5 miles.
Step-by-step explanation:
Let's solve this. 0.5 inches on the scale = 1 mile. Since the trailer is 1.25 inches long on the scale, let's first multiply 0.5 by 2. You would get 1 inch on the scale, which would be 2 miles.
2 miles = 1 inch on the scale. But it says 1.25, so since 0.5 inches is 1 mile, then 0.25 inches is 0.5 miles. Add 2 miles and 0.25 miles, and you will get 2.5 miles.
The trailer length is 2.5 miles.
FINDING SLOPE given GRAPHS, TABLES, POINTS and EQUATIONS!! Thank youu
Answers
The formula for slope is vertical change ÷ horizontal change, which means choose two points, (x1,y1) and (x2,y2), then do (y2-y1) ÷ (x2-x1).
For the graph, just pick two random points that you like. For the table, pick two sets of numbers (for example -10,-47 and 4,9). For the equation, create two sets of coordinates. For example, if you have f(x) = x + 3, then if x = 1, y = 4 and if x = 2, y = 5.
Evaluate each expression for the given value(s) of the variable(s). 2b + 9 when b = 3
Answers
Answer:
15
Step-by-step explanation:
substitute the value of the variable into the equation and simply
9-x<-11
(**hint** x cannot be negative. IF x is negative, that is like having a coefficient of -1...how would you "cancel out" that coefficient? )
Solve
Answers
Answer:
Bueno, sí y no. Si está multiplicando dos términos como (x - 2) y (x - 2), usaría el método FOIL: primero, adentro, afuera, último. Vea el diagrama adjunto. Los dos signos negativos se cancelarían entre sí solo al multiplicar los últimos valores. Avísame si necesitas más explicaciones.
-cjhunter.26
there are 21 colored balls sindhu took 4/7 rosey took 1/7 and ritesh took 2/7 who took the least numbers of balls
Answers
Answer in the photo
Jeremy makes a drawing of a walkway shaped like three rectangles. The total area of the walkway is 24 square meters. What is the area of the smallest rectangle in the walkway?
Answers
Answer:
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
have a nice dayyy!! thx for points
Which equation can be used to solve for x in the following diagram?
(4x - 85)
Choose 1 answer:
x- (4x – 85) = 180
x+ (4x – 85) = 180
x + 4x = 85
x+(4x – 85) = 90
Answers
Step by step explanation: ...
plz help plz I am already failing I dont want to fail more
Answers
Answer:
B is the closet to pi hsiebfjwjgsbe9fbe
A new tv costs 1500, a salesperson makes 3.25% commision for every sale, how much would the salesperson make for 1 tv sold.
Answers
Answer:
48.75
Step-by-step explanation:
The salesmen makes a commission of 3.25%. So to get the percent into a usable form for this take 3.25 and divided by 100. You get 0.0325.
Now you take the 0.0325 and mutliply it by the 1500. This gives you 48.75
can u help me plss i’ll give u brainliest
Answers
Answer:
The answer is
Step-by-step explanation:
Which rule describes the pattern for the table's Input and Output values?
A. add 2
B. add 10
C. subtract 7
D. divide by 2
PLEASE HELP I WILL MARK YOU BRAINLIEST!
Answers
answer:
a.add 2
Step-by-step explanation:
A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3. A function table is another name for an input-output table, a table that shows how a value changes according to a rule.
10 cm
8 cm
2.5 cm
8 cm
6 cm
2.5 cm
what’s the surface area
Answers
Answer:
10+8+2.5+8+6+2.5=37 .
ok you are understand or bot
find the volume and the total surface area of a cuboide whose dimension 2m, 80cm and 60cm
Answers
Answer:
Volume= 0.96m^3
TSA= 6.56m^2
Step-by-step explanation:
Given data
Length = 2m
Width= 80cm= 0.8m
Height= 60cm= 0.6m
Volume= L*W*H
Volume= 2*0.8*0.6
Volume= 0.96m^3
TSA=2lw+2lh+2hw
TSA= 2*2*0.8+2*2*0.6+2*0.6*0.8
TSA= 3.2+ 2.4+ 0.96
TSA= 6.56m^2
A new bank customer with $4,000 wants to open a money market account. The bank is offering a simple interest rate of 1.2%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Answers
Answer:
Interest: $1440
Total Account Balance: $5440
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.2%/100 = 0.012 per year,
then, solving our equation
I = 4000 × 0.012 × 30 = 1440
I = $ 1,440.00
The simple interest accumulated
on a principal of $ 4,000.00
at a rate of 1.2% per year
for 30 years is $ 1,440.00.
The simple Interest is $1440 and the total Account Balance: $5440.
What is simple interest?Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.
First, converting R percent to r a decimal,
r = R/100 = 1.2%/100 = 0.012 per year,
Then, solving our equation,
I = 4000 × 0.012 × 30 = 1440
I = $ 1,440.00
The simple interest accumulated,
on a principal of $ 4,000.00
at a rate of 1.2% per year
for 30 years is $ 1,440.00.
Therefore, the simple Interest is $1440, and the total Account Balance: $5440.
To know more about simple interests follow
https://brainly.com/question/2294792
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Use the graph below to answer the following question.
find the slope.
A. 2
B. –one-half
C. –2
D. one-half
Answers
a) Complete the table of values for y = x2 + x - 4
х
-3
-2
-1
0
1
2
3
y
Answers
Answer:
The values of y for each value of x are:
[tex]x = -3, y =2[/tex]
[tex]x = -2\: , y =-2[/tex]
[tex]x = -1\: , y =-4[/tex].
[tex]x = 0\: , y =-4[/tex]
[tex]x = 1\: , y = -2[/tex].
[tex]x = 2\: , y =2[/tex]
[tex]x = 3\: , y = 8[/tex]
Step-by-step explanation:
We have all the values of x, they are from -3 to 3 passing for 0.
Now, we know that y is a quadratic function (y=x²+x+4)
Therefore, we just need to put each value of x into the quadratic equation to find each y value.
When:
[tex]x = -3, y = (-3)^2+(-3)-4=2[/tex]
[tex]x = -3\: , y = 2[/tex]
We can do this for all values of x, so we will have:
[tex]x = -2\: , y = (-2)^2+(-2)-4=-2[/tex]
[tex]x = -1\: , y = (-1)^2+(-1)-4=-4[/tex].
[tex]x = 0\: , y = (0)^2+(0)-4=-4[/tex]
[tex]x = 1\: , y = (1)^2+(1)-4=-2[/tex].
[tex]x = 2\: , y = (2)^2+(2)-4=2[/tex]
[tex]x = 3\: , y = (3)^2+(3)-4=8[/tex]
I hope it helps you!
The dots in the diagram are 1 unit apart. What is the longest segment that can be drawn between two of the dots without
intersecting another dot in the diagram?
A)
1
B)
2
Vs
D)
2/2
Answers
Answer:
the correct answer is C) √5
Step-by-step explanation:
Find the point where the two lines intersect (both problems, please. I don't understand it ;-; )
Answers
Answer:
point a to point b is only one lkine.
If you're looking for it's length then (11,-7), or 13.04
Step-by-step explanation:
PLEASE HELP ME!!!!
Match each radical expression with the equivalent exponential expression.
Answers
3^1/2
2^1/3
3^1/4
2^1/5
Radicals can be written as exponential expression as following:
[tex]\sqrt{3} = 3^{\frac{1}{2}}[/tex]
[tex]\sqrt[3]{2} = 2^{\frac{1}{3} }[/tex]
[tex]\sqrt[4]{3} = 3^{\frac{1}{4}}[/tex]
[tex]\sqrt[5]{2} = 2^{\frac{1}{5} }[/tex]
What is radical?The radical of a number is the same as the root of a number. The root can be a square root, cube root, or in general, nth root.
[tex]\sqrt[n]{x} = x^{\frac{1}{n} }[/tex]
Given radicals,
[tex]\sqrt{3} = 3^{\frac{1}{2}}[/tex]
[tex]\sqrt[3]{2} = 2^{\frac{1}{3} }[/tex]
[tex]\sqrt[4]{3} = 3^{\frac{1}{4}}[/tex]
[tex]\sqrt[5]{2} = 2^{\frac{1}{5} }[/tex]
Hence, Exponential expression for the given radicals are [tex]3^{\frac{1}{2} }, 2^{\frac{1}{3} }, 3^{\frac{1}{4} }, 2^{\frac{1}{5} }[/tex] .
Learn more about radical here:
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