Answer:
Step-by-step explanation:
eight ten a.m.
Follow the steps to solve the equation. Solve 3 sqrt x^2-7= 3 sqrt 2x+1
To solve the given equation,________ both sides.
100 points
Answer:
x = -2,4
(disclaimer plugging in -2 will give an imaginary number)
Step-by-step explanation:
3[tex]\sqrt{x^2-7}[/tex]=3[tex]\sqrt{2x+1}[/tex]
Divide both sides by 3
[tex]\sqrt{x^2-7}[/tex]=[tex]\sqrt{2x+1}[/tex]
Square both sides to cancel square roots
[tex]x^2-7=2x+1[/tex]
Move all the terms to the left side
[tex]x^2-2x-8=0[/tex]
Use the quadratic formula
[tex]x=\frac{2 +/- \sqrt{(-2)^2-4(1)(-8)}}{2(1)}[/tex]
which gives x= -2,4
OR factor the quadratic
(x-4)(x+2)=0
x= -2,4
The solution of the equation 3 sqrt x^2-7= 3 sqrt 2x+1 is, x = -2,4
(disclaimer plugging in -2 will give an imaginary number)
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
3√x²-7=3√2x+1
Divide both sides by 3
√x²-7=√2x+1
Square both sides to cancel square roots
x²-7=2x+1
Move all the terms to the left side
x^2-2x-8=0
Use the quadratic formula
x=2±√2-4(-8)/2
solving we get,
which gives x= -2,4
OR factor the quadratic
(x-4)(x+2)=0
x= -2,4
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Question 3 of 15
Parvati goes to the movies with $16 in her wallet. She buys
a ticket for $6.25 and two snacks for $2.25 each. How
much money does she have left?
No links plsss remember no links pls
'D'
本题已由中国数学会官方解答(现有会员:3人)
D.
[tex]16 - (6.25 + 2 \times 2.25)[/tex]
Ally is given three different sums of the same sequence to calculate. If she completes the three problems in order do the sums increase or decrease in value. Why? A) The sums decrease in value because you are subtracting. B) The sums increase in value because even though you are multiplying and adding. There is no subtraction or division. C) The sums increase in value because even though you subtract 7 from each term you are still increasing the positive number that is being multplied so they will increase. D) The sums decrease in value because even though you are increasing the positive number that is being multplied you have to subtract 7 from each answer so they will decrease.
If Ally is given three different sums of the same sequence to calculate, and she completes the three problems in order C) The sums increase in value because even though you subtract 7 from each term you are still increasing the positive number that is being multiplied so they will increase.
The sums will not decrease in value because there is no subtraction. They will not increase in value because of multiplication or addition. The sums will not decrease in value because of the subtraction of 7 from each answer.
Thus, the sums will increase in value because of the increasing positive number that is being multiplied.
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HELP HELP HELP
Which statement about proportional relationships is false?
A proportional relationship must graph as a line.
A graph of a proportional relationship must pass through (0, 0).
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.
Answer:
here you go
Step-by-step explanation:
the last one is "Each point (or pair) in a proportional relationship must share the same difference."
Answer:
Step-by-step explanation:
Given : Statement about proportional relationships
To Find : Which statement is False
Solution:
proportional relationships
y ∝ x
=> y = kx
Comparing with line line of equation
y = mx + c
m = k , c = 0
Hence A proportional relationship must graph as a line
TRUE
at x = 0 , y = 0
Hence graph of a proportional relationship must pass through (0, 0).
TRUE
y = kx
=> y/x = k hence
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.
Find the value of
n
(
√
5
)
5
=
5
n
Answer:
n = 26
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable
n.
-2*(-4)*9 what's the proper order
If sine
= 3/5 then tane =
According to the question
sinA =
Method : 1( By Theorem )
sinA =
Let,
Height from angle A = 3 x
Hypotenuse of triangle = 5 x
By Pythagoras Theorem
Hypotenuse^2 = height^2 + base^2
( 5 x )^2 = ( 3 x )^2 + ( base )^2
25x^2 - 3x^2 = ( base )^2
16x^2 = base^2
( 4x )^2 = ( base )^2
4x = base
Therefore, cosA =
=
=
And, tanA =
=
=
Method : 2 ( Identities )
We know, sin^2 A + cos^2 A = 1
Substituting value,
( 3 / 5 )^2 + cos^2 A = 1
cos^2 A = 1 - 9 / 25
cos^2 A = ( 25 - 9 ) / 25
cos^2 A = 16 / 25
cos^2 A = ( 4 / 5 )^2
cos A = 4 / 5
tanA = sinA / cosA
= ( 3 / 5 ) / ( 4 / 5 )
=3/4
Please explain how to solve. Will give brainly if you actually answer the question question
Answer:
C. 3y/4x²
Step-by-step explanation:
12x/2y*3y²/24x³=12/2*3y/24x²
=6*y/8x²
=6y/8x²
=3y/4x²
Tolong bantu saya nanti saya bantu kamu kalo bisa
Answer:
C. -8
Step-by-step explanation:
x≥-48/5; ⇔ x≥-8.8, then
the smallest integer is -8.
I have 12 seats on a rollers coaster. 4 green, 4 red, 4 blue. What is the probability a rider will sit in a green seat
Answer:
1/3 probability
4 + 4 + 4 = 12
4/12 = 1/3
Step-by-step explanation:
can anyone help me please
Step-by-step explanation:
Realize that:
speed = distance / time and thus
time = distance / speed
Then the whole journey of 40/60 hours is the sum of (let's call them t1 and t2)
cycling: t1 = 2/y hours
running: t2 = 4/(y-4) hours
so we must simplify t1+t2=40 minutes (a.k.a. 4/6 hours):
2/y + 4/(y-4) = 4/6
let's multiply the first term by (y-4)/(y-4) and the second term by (y/y):
[tex]\frac{2(y-4)}{y(y-4)} + \frac{4y}{y(y-4)} = \frac46[/tex]
since they now share a common denominator:
[tex]\frac{2(y-4) + 4y}{y(y-4)} = \frac46[/tex]
[tex]\frac{6y-8}{y(y-4)} = \frac46[/tex]
cross-products:
[tex]6 (6y-8) = 4y(y-4)[/tex]
further simplification:
[tex]36y - 48 = 4y^2 - 16y[/tex]
[tex]4y^2 - 52y + 48 = 0[/tex]
[tex]y^2 - 13y + 12 = 0[/tex]
q.e.d.
The division problem below is being solved using long division. Use what you know about division to figure out the mystery divisor, then describe how you found it.
The mystery divisor to the question based on the information given is 18.
How to determine the divisor?Dividing the first dividend 4 by the unknown divisor x and getting the first number 2 in the quotient and when the quotient 2 is multiplied by the divisor gives 36, so definitely, 4 cannot be used
Using 40 as the dividend, 40 divided by the divisor x gives 2 as the first quotient. And the first quotient 2 multiplied by the divisor x gives 36.
And to interpret this, 2x=36
Dividing through by 2x=36
x = 36/2
x = 18
So, the divisor is 18
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x/20 - 2/5 = 3/4
Plz help :)
Answer:
x = 23
Step-by-step explanation:
simplify both sides of the equation then isolate the variable.
Answer:
x = 23
Step-by-step explanation:
x/20 + 20 ( -2/5 )/20 = 3/4
combine fractions with common denominator
x - 8/20 = 3/4
Multiply all terms by the same value to eliminate fraction denominators
20 . x - 8/20 = 3/4 = 20. 3/4
Cancel multiplied terms that are in the denominator
x - 8 = 20 . 3/4
Multiply the numbers
x - 8 = 15
Add 8 to both sides of the equation
x - 8 + 8 = 15 + 8
simplify
add the numbers
x = 23
Slope of the line that passes through (5,7) and (7,8)
Answer:
0.5
Step-by-step explanation:
To find the slope, you just have to do (y-y₁) / (x-x₁) where x and y are from the same point and x₁ and y₁ are from the same point. So just substitute in the values to get (7 - 8) / (5 - 7) which is -1 / -2 which is 1/2 or 0.5.
One side of a triangle is half the longest side. The third side is 10 feet less than the longest side. The perimeter is 75. Find all three sides
Answer:One side of a triangle is half the longest side. The third side is 13 feet less than the longest side. The perimeter is 62 feet.
Step-by-step explanation:
Step-by-step explanation:
l-longest
l + l/2 + l-10 =75
2l -10 + l/2 =75
2l + l/2 =75+10=85
(5/2)l =85
l=85×2/5 =34
first side=34ft
second side=l/2=34/2=17ft
third side = 34-10=24ft
if you need any more help
my whats app number
+2348134440903
given a=(a1,a2,a3)
b= (b1, b2,b3)
c=( c1, c2, c3) )
solve : a×(b×c)
We are given three vectors each one has its own coordinates. We need to be careful when we multiply two vectors.
For example, b × c = (b1,b2,b3)×(c1,c2,c3) = (b1c1,b2c2,b3c3)
Finally a×(b×c) = (a1b1c1,a2b2c2,a3b3c3)
Good Luck
PLEASE HELP a telegraph pole 7.5 metres high is held firm by a wire attached to its top and fixed to the ground 6.4 metres from the foot of the pole. how long is the wire? what is the angle of deviation?
Answer:
The flagpole is
4
meters tall.
Explanation:
The wire, the flagpole, and the ground make up the three sides of a triangle.
One angle of this triangle is given as
45
o
.
The angle of the flagpole with the ground must be
90
o
.
So the last angle must be
45
o
.
Because of the right angle
(
90
o
)
of the flagpole and the ground, this is a
right triangle
. The wire forms the hypotenuse.
Because both of the other angles are the same (both are
45
o
), this is an
isosceles
right triangle (the legs are equal.)
This particular kind of right triangle is called a
45
−
45
−
90
triangle, named for the degrees in its angles.
...
...
...
...
...
...
...
.
. . . . . . . . . . . . . . .
The measurements of these triangles are known by memorization:
The
45
−
45
−
90
isosceles right triangle has these properties:
It forms half a square, cut in half along the diagonal, so it is a
right triangle
.
This diagonal line forms the
hypotenuse
of the triangle.
The sides
s
(the legs) are the same as each other, so
it is an
isosceles right triangle.
The length of the hypotenuse is always
s
√
2
Here is a diagram of the
45
−
45
−
90
isosceles right triangle:
Step-by-step explanation:
find the distance between G point a and point H
Answer:
i dont know
Step-by-step explanation:
What is the largest expense an individual will have?
1) hourly wage
2) tips
3) taxes
4) net income
Answer:
Answer
4)net income
Step-by-step explanation:
answer
George bought 30 packs of football card store 14 cars in each pack how many cross the gorge by
Answer:420
Step-by-step explanation:
Brainlest if it correct
Harold is a delivery truck driver. He put 578.25 miles on his truck during the first week of the month. He drove only 412.79 miles in the second week. How many more miles did he drive the first week than the second week?
Answer: Harold drove 165.46 more miles in the first week, then he did in the second.
Step-by-step explanation:
This is simple elementary school subtraction. In the first week of the month, he drove 578.25 miles while in the second he only drove 412.79.
You can look up how to do subtraction by hand online, but after calculating the equation:
[tex]578.25-412.79[/tex], we end up with 165.46.
25. Steve's family traveled 3/4 the distance that Mike's family traveled. If Steve's family traveled 18 miles, how far
did Mike's family travel?
Answer:
13.5 miles
Step-by-step explanation:
For this problem you need to find 3/4 of 18. 18x3/4 = 54/4, or 13.5
The total number of miles Steve's family traveled is 24 miles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Steve's family traveled 3/4 the distance that Mike's family traveled.
Let the total number of miles Steve's family traveled be x.
Now, 3/4 ×x=18
3x=72
x=72/3
x=24 miles
Therefore, the total number of miles Steve's family traveled is 24 miles.
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Help help math please help help help
Answer:
no
Step-by-step explanation:
As all angles are 60∘ each and given all sides are equal then it can be said as congruent.
Provide the reason. for 100 pts
Answer:
Substitution property of equality
Step-by-step explanation:
m<5=90°[tex]\\ \sf\longmapsto m<2+m<5=180[/tex]
Substitute m<5[tex]\\ \sf\longmapsto m<2+90°=180°[/tex]
Answer:
Substitution property of equality
Step-by-step explanation:
I don’t understand this
Answer:
there is no answer without picture
Step-by-step explanation:
sorry cant answer
3t - 17 if t = 100
HELPPPPP
Answer:
283
Step-by-step explanation:
Plug in 100 for t in the equation.
First multiply 3 by 100 to get 300.
Then do 300-17 to get 283
Answer:
The Answer is 283
Step-by-step explanation:
Substitute t for 100
100*3=300
300-17=283
final Answer: 283
Gordon won the lottery and distributed the prize among his children. Peter received
22% of the prize, Amy received 23% and John and Mary split the rest remaining in
equal parts. If Mary received $14,000, what was the lottery prize worth? Solve the
problem by first formulating an equation(s)/inequality.
Answer:
x= 14000/0.55
Step-by-step explanation:
X×(1-0.22-0.23)= 14000
X-0.22-0.23x= 14000
0.55=14000
X= 14000/0.55
sorry if it doesn't help and I'm not sure if it's right
Mohan opened a Recurring deposit Account in a bank for five year and deposite 100 RS every month. If the rate of interest 6% per annum them how much money will he get after 5 years.
Answer:
☼︎Information Provided:
Mohan opened a Recurring deposit Account in a bank for five yearsHe deposited Rs.100 every monthRate of interest is 6% per annum☼︎What we have to calculate :
How much money will he get after 5 years?☼︎Using Formulas :☼︎Maturity value:-
[tex]\boxed{\sf{\longmapsto \: M.V. \: = \: P \times \: n \: + \: I }}[/tex]
☼︎Interest:-[tex]\boxed{\sf{\longmapsto \: I\: = \: P \times \: \frac{n(n + 1)}{2 \times 12} \: + \: \dfrac{r}{100} }}[/tex]
☼︎In both the formulas,
P is Principaln is number of monthsr is rate of interest☼︎Performing Calculations :
Finding out the interest by substituting the values in the given formula of calculating the interest~
☼︎Number of months :
☼︎We know that,1 year = 12 months5 years = 12 × 5 months5 years = 60 months☼︎We have :
P is 100r is 6%n is 60☼︎Putting the values :
[tex] \: \tt { \longmapsto \: I \ \: = \: 100 \times \dfrac{60(60 + 1)}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]
[tex]\: \sf{I \: = \:100 \times \dfrac{60(61)}{2 \times 12} \: \times \: \dfrac{6}{100} } [/tex]
[tex]\: \sf{I \: = \:100 \times \dfrac{60 \times 61}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]
[tex] \: \sf{I \: = \: 100 \times \dfrac{3660}{24} \: \times \: \dfrac{6}{100} }[/tex]
[tex] \: \sf{I \: = \: \dfrac{3660}{ \cancel{24}} \: \times \: \cancel {6}}:⟼I=243660×6[/tex]
[tex]: \longmapsto \: \sf{I \: = \: \dfrac{3660}{4}}[/tex]
[tex]: \longmapsto \: \sf{I \: = \: \cancel\dfrac{3660}{4}}[/tex]
[tex]: \longmapsto \: \boxed{ \mathfrak \green{{I \: = \: 915} }}[/tex]
☼︎Now, putting the values in formula of M.V. :
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
[tex]... \: \sf{\longmapsto \: M.V. \: = \: 100 \: \times \: 60 + \: 915}[/tex]
[tex] ... \sf{ \longmapsto\: M.V. \: = \: 6000 + \: 915}:[/tex]
[tex]... \longmapsto \: \boxed{\pink{\sf{M.V. \: = \mathfrak {6915}}}}:[/tex]
[tex]\underline{\bf{Hence \: he \: would \: get \: Rs.6915 \: after \: 5 \: years}}[/tex]
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
☼︎Additional InformationInterest (I) received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is
[tex]\bold{ \red{\boxed{\text{I} = \text{P} \times \dfrac{ \text{n(n + 1)}}{24} \times \dfrac{ \text{r}}{100} }}}[/tex]
Maturity Value (MV)
Received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is also given by
[tex]\begin{gathered} \pink{\boxed{\rm{ MV \: = \: \text{P} \: + \: I \: }}} \\ \end{gathered}[/tex]
[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]
Answer
Rs.6915after5yearsMaggie has $40 to buy a new dress and hair accessory for her school dance the dress she wants cost $35.75 the cost of her hair accessory is $2.80 does Maggie have enough money to purchase for the dress in the hair accessory Explain how can you use estimation to answer this question
Answer:
Yes Maggie has enough money to purchase the dress and hair accessory.
Step-by-step explanation:
Dress = $35.75
Hair accessory = $2.80
Total amount of money = $40
Does her have enough money?
Total Money in pocket - (Dress cost + hair accessory)
$40.00 - ($35.75 + 2.80)
$40.00 - ($36.00 + $3.00) Round to the nearest dollar
$40.00 - $39.00 = $1.00
Yes
Consider 3x=y . Complete the table for the equation
Answer:
x | y
0 | 3
1 | 6
2 | 9
Step-by-step explanation: