Answer:
x = 1 ,or x = -7
Obviously, the true answer is not in the options given.
Step-by-step explanation:
x² + 6x - 6 = 10
The above equation can not be factorized, hence the use of Almighty Formula.
x = [-b +- √b² - 4ac] / 2a
Where a = 1, b = 6, c = -6
x = [-6 +- √6² - (4*1*-6)] / 2*1
x = [-6 +- √36 - (-24)] / 2
x = [-6 +- √36 + 24] / 2
x = [-6 +- √60] / 2
x = [-6 +- 7.75] / 2
x = [-6 + 7.75] / 2 ,or x = [-6 - 7.75] / 2
x = 1.75/2 ,or x = -13.75/2
x = 0.875 ,or x = -6.875
Approximately
x = 1 ,or x = -7
Answer:
x=In2+1
Step-by-step explanation:
3+4ex+1-3=11-3
0+4ex+1=8
4ex+1=8
What is the height of a rectangular prism with a volume of 60 cubic feet, a length of 3 ft and width 4 ft?
Answer:
5 feet
Step-by-step explanation:
100 points and reward brainliest!
(28-b)xb=187
b = ?
Answer:
[tex]b=11, b=17[/tex]
Step-by-step explanation:
To get rid of the parenthesis, distribute:
[tex]b(28-b)=187,\\28b-b^2=187[/tex]
Move all terms to one side and factor:
[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]
Answer:
b = 11, 17
Step-by-step explanation:
=> (28 - b) × b = 187
=> 28b - b² = 187
subtracting 187 from both sides=> 28b - b² - 187 = 0
dividing the equation by (-1) and rearranging=> b² - 28b + 187 = 0
breaking -28b into 2 variables such that the variable multiply to form 187b²=> b² - 11b- 17b + 187 = 0
{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }
=> b (b - 11) - 17(b - 11) = 0
=> (b- 11)(b - 17) = 0
either(b - 11) = 0
=> b = 11
or(b - 17) = 0
=> b = 17
therfore,
b = 11, 17What is the inverse of the function g(x) = 1/2x + 1/2?
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .
Replace f(x)f(x) with yy.
y=12xy=12x
Interchange the variables.
x=12yx=12y
Solve for yy.
Rewrite the equation as 12y=x12y=x.
12y=x12y=x
Multiply both sides of the equation by 22.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Simplify 2⋅12⋅y2⋅12⋅y.
Cancel the common factor of 22.
Cancel the common factor.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Rewrite the expression.
1⋅y=2⋅x1⋅y=2⋅x
Multiply yy by 11.
y=2⋅xy=2⋅x
Solve for yy and replace with f−1(x)f-1(x).
Replace the yy with f−1(x)f-1(x) to show the final answer.
f−1(x)=2xf-1(x)=2x
Set up the composite result function.
g(f(x))
Suzie bought 17.75 lbs of flour. If the price for 1lb is $19.68, calculate the total amount she paid to the shopkeeper
A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
What is the shape of the cross-section?
square
rectangle that is not a square
triangle
parallelogram that is not a rectangle
Answer:
B
Step-by-step explanation:
a rectangle that is not a square
The plane will be rectangular which is not a square. Then the correct option is B.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.
Let a be the side length of the cube.
The length of the rectangular plane will be
L² = a² + a²
L = a√2
Then the dimension of the plane is 'a' and 'a√2' units.
The plane will be rectangular which is not a square. Then the correct option is B.
More about the rectangle link is given below.
https://brainly.com/question/10046743
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The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie
Answer: a. 13120
b. 4100
c. 1025
d. 3280
Step-by-step explanation:
(a) find the costs price of the fridge
Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:
= (100% - 20%) × 16400
= 80% × 16400
= 0.8 × 16400
= 13120
(b) calculate the deposit
Since 25% is paid as deposit, the deposit will be:
= 25% × 16400
= 0.25 × 16400
= 4100
(c) what is the monthly installments
Monthly installments will be:
= (16400 - 4100)/12
= 12300/12
= 1025
(d) what is the differences between the cash price and the hire purchase price.
This will be:
Hire purchase price = 16400
Cash price = 13120
= 16400 - 13120
= 3280
23, 24, 25, 20, 25, 29, 24, 25, 30
Mean?
Median?
Mode?
Range?
Please help?
Answer:
median = 25. that's the answer
Answer:
Mean - 25
median - 25
range - 10
mode - 25
Find the length of AB.
A
O 140°
8 m
B
Round your answer to the nearest hundredth.
ÁB = [ ? ]m
:)
Answer:
19.55m
Step-by-step explanation:
We solve the above question using the formula for Arc Length
The formula of Arc length when central angle is given in degrees = Length of AB
= θ/360 × 2πr
Central angle = θ = 140°
Radius = r = 8m
Hence,
Length AB = 140/360 × 2 × π × 8
= 19.547687622 m
Approximately to the nearest hundredth, the length of AB = 19.55m
Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml
Answer:
volume left in A is 80ml
Step-by-step explanation:
let original volume in both be x ml
after pouring from A to B
vol in A = x - 120
vol in B = x + 120
now it is given that
vol in B = 4 times vol in A
implies
[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]
hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml
I need to know what this is? Can someone tell me… Honestly. What is the value of x?
Answer:
98º
Step-by-step explanation:
The sum of angles in a triangle is 180
---------------------
The missing angle in the triangle
180 - 45 - 53 = 82º
-------------------------
x is supplementary to 82º
x = 180 - 82
x = 98º
please help me i am in need of serious help or ill flunk :(
co.op
interest = principle * rate * time in years
8000*0.09*1= 720$
total owed =
principle + interest
8000+720= 8720$
bank
interest = principle * rate * time in years
interest = principle * rate * time in years8000*0.06*1= 480$
principle + interest
8000+480= 8480$
......
6)
Bank A
interest = 1500*2*0.18= 540$
total owed = 1500+540= 2040$
Bank B
compound interest =
1500(1+0.12)^2
compound interest= 1881.6
total owed = 1500+1881.6= 3381.6$
she should choose Bank A less total owed
she'll have to pay the bank 2040$
George has a spinner with three equal sections colored orange, blue, and white. He spins the spinner 100 times. What is the experimental probability of landing on the orange section?
Answer:
1/3
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Experimental probability is based on the result of an experiment that has been carried out multiples times
probability of landing on the orange section = proportion of the orange section / total proportions of all the colours
= 1/3
Which expression is equivalent to
Hey there!
(a^8)^4
= a^(8)(4)
8(4) = 32
= a^32
Answer: a^32
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please Help me. I get so confused doing these questions.
Answer:
It should be -24
Step-by-step explanation:
I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)
Your purchase a T-shirt with a label pre-tax price of $17 the local sale price rate is 5% what is your final cost including tax
Answer: $17.85
Step-by-step explanation:
The tax on the T-shirt is 5% and the price is $17.
To find the after-tax cost, first find the tax amount:
= 5% * 17
= $0.85
Then add this tax amount to the price to find the after-tax amount:
= 17 + 0.85
= $17.85
9. Leonard made a deposit of $4,500 into a
savings account which earns 7% annual
compound interest. Assuming he makes no other
deposits or withdrawals, which of the following
shows the amount of interest his account should
earn after 15 years?
A. $12,415.64
B. $7, 915.64
C. $16,915.64
D. $8,115.64
(please help, it’s urgent) :)
Answer:
id say a
Step-by-step explanation:
The amount of interest his account should earn after 15 years is:
$7, 915.64.
Here, we have,
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days
Let, A= x
Now, x =$4,500(1+7/100×365)^(365×15)
x=$12415.64
i.e. final amount = $12415.64
so, the amount of interest his account should earn after 15 years is:
$12415.64 - 4500 = $7, 915.64
Hence, the amount of interest his account should earn after 15 years is: $7, 915.64
To learn more on Compound interest click:
brainly.com/question/29335425
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pls help me this is due in 30 minnutes
Answer:
The surface area is 88ft.
Just to let you know just in case if you have the same question is that the formula of finding the surface area of a rectangular prism is A = 2(wl + hl + hw)
URGENT PLEASE HELP ME !!!!
Answer:
CO
Step-by-step explanation:
Conditional: If p, then q.
Converse: If q, then p.
Conditional: If the measure of an angle is 90 degrees, then it is a right angle.
If p, then q.
p = the measure of an angle is 90 degrees
q = it is a right angle
Converse:
If q, then p.
If it is a right angle, then the measure of the angle is 90 degrees.
Answer: CO
please help with this !!!!
Answer:
0
Step-by-step explanation:
this is just to confuse us.
"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.
and 3 different functional definitions have been given based on the value of the argument "t".
we need the functional value for t=2.
is 2 = 8 ? no. therefore the first definition does not apply.
is 2 = 10 ? no. therefore the second definition does not apply either.
is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.
so, the third definition applies :
f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0
How many families in Oats Township have two or more cars?
100
4
1
2
400
200
Answer:
200
Step-by-step explanation:
Good luck <3
Answer:
200
Step-by-step explanation:
hope it helps
The bakery manager at the grocery store decides to have a 18% off sale on all bread. You decide to purchase 3 loaves of bread. Let b be the original price of a loaf of bread. Expand the expression 3(b − 0.18b). What do the terms of the expansion represent?
Analyze the diagram below and complete the instructions that follow.
Find the exact value of tan(M).
Explanation:
Recall that tangent = opposite/adjacent.
For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.
Answer:
C or 5/12
Step-by-step explanation:
It takes Amir 30 minutes to walk to work. If he drives, it takes him 1/3 of that time. What is the latest time that Amir can leave to drive to work and arrive by 9:00 am
The values a,b and c.
Answer:
a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4
Step-by-step explanation:
Given
x - [tex]\frac{1}{8}[/tex] y + 4 ← in the form ax + by + c
with a = 1, b = - [tex]\frac{1}{8}[/tex], c = 4
A pattern starts at 3 and follows the rule 5
What point on each number on the number line that is in the pattern
need help?
Step-by-step explanation:
just try plotting on a number line
Sometimes you can use the distributive property to expand an expression.
You can expand - 3(5 - x) into the equivalent expression -15 + 3x. Show
you can use the distributive property to expand -4(-a+2) to get an
equivalent expression.
how
Given:
After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].
The given expression is [tex]-4(-a+2)[/tex].
To find:
The equivalent expression by using distributive property.
Solution:
According to the distributive property of multiplication over addition, if a, b, c are real values, then
[tex]a(b+c)=ab+ac[/tex]
We have,
[tex]-4(-a+2)[/tex]
Using distributive property of multiplication over addition, we get
[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]
[tex]-4(-a+2)=4a+(-8)[/tex]
[tex]-4(-a+2)=4a-8[/tex]
Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].
I need the answer for the problem that’s above done can someone help? please.
which function is graphed?
Step-by-step explanation:
hello it's B)
v ::::: ok
.
.
.
.
.v:
if 1 cm = 10 km then how much is 8 km? And how much is 5 km? i will give brainly
Answer:
0.8 cm = 8km
0.5cm = 5km
hope this helps
2. Which relations are functions? Explain. For each graph, state the domain and range.
Answer:
A. and C. neither of them have a repeating y value if you input a vertical line on the graph
