Answer:
[tex]\tt{} x_{1} = 4 \\ \tt{} x_{2} = 5 \\ [/tex]
Step-by-step explanation:
[tex]\tt{} \sqrt{ {x}^{2} - 16 } - 3 \sqrt{x - 4} = 0[/tex]
[tex]\tt{} \sqrt{ {x}^{2} - 16 } = 3 \sqrt{x - 4} [/tex]
[tex]\tt{}{x}^{2} - 16 = 9(x - 4)[/tex]
[tex]\tt{}(x - 4).(x + 4) = 9(x - 4)[/tex]
[tex]\tt{}(x - 4) \times (x + 4 - 9) = 0[/tex]
[tex]\tt{}( x - 4) \times (x - 5) = 0[/tex]
[tex]\tt{}x - 4 = 0 \\ \tt{}x - 5 = 0[/tex]
[tex]\tt{}x = 4 \\ \tt{}x = 5 \\ \\ [/tex]
[tex]\tt{} x_{1} = 4 \\ \tt{} x_{2} = 5 [/tex]
Answer:
x = 4, 5.
Step-by-step explanation:
√(x^2 - 16) - 3√(x - 4) = 0
√(x^2 - 16) = 3√(x - 4)
Square both sides of the equation:
x^2 - 16 = 9(x - 4)
x^2 - 9x - 16 + 36 = 0
x^2 - 9x + 20 = 0
(x - 4)(x - 5) = 0
x = 4, 5.
As the original equation contained square roots:
We test for extraneous solutions:
x = 4:
√(4^2 - 16) - 3√(4 - 4) = 0 - 3*0 = 0 so x = 4 is OK.
x = 5:
√(5^2 - 16) - 3√(5 - 4) = √9 - 3√1 = 0 so x = 5 is also OK.
Several years ago, Winston invested in some gold. Gold is currently valued at $546 per ounce, which is 30% more than Winston originally paid for it. What was the purchase price of the gold?
Answer:
420
Step-by-step explanation:
130/100x = 546
x=54600/130
x=5460/13
x=420
0.297 x 7.1 = 297 + 20790 / 21.087 is it true or false
Hey there!
0.297 * 7.1 = 297 + 20,790/21.087
Well….
0.297 * 7.1
= 2.1087
297 + 20,790/21.087
= 2.97 + 985.915493
= 1282.915493
2.1087 ≠ 1282.915493
Thus, your answer is false
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
what is 5+8+*2-0/0+39284
Answer:39310
Step-by-step explanation:
Last week, Makayla took 8 express bus rides, which cost her $34. Which equation models the cost in dollars, c, per express bus ride, b.
Based on the cost of the bus rides in total and the number of buses taken, the relevant equation would be c = 34/b.
Makayla took 8 express bus rides and this cost her $34 in total. The cost of each bus ride is therefore:
= Total cost of rides / Number of rides taken
With the cost per ride being c and the bus ride being b, the equation would be:
c = 34/b
In conclusion, to find the cost of each bus ride, use the equation c = 34/b.
Find out more at https://brainly.com/question/17689601.
simplify the expression -8(-w - 2) =
Answer:
-16(-8w) i think
Step-by-step explanation:
Step-by-step explanation:
-8(-w - 2) = 8w+16.
hope this helps you.
Can someone Please Help
Answer:
4
Step-by-step explanation:
2 to the power of 4 is the same as 2×2×2×2.
That is also the same as 4×4, which equals 16.
Answer:
4
Step-by-step explanation:
Plz help!!!
henrik is shopping at a store. The store is having a sale on all items henrik also has a coupon for an additional amount off the sale price.
The expression 0.7p-15 represents the final price, In dollars, of items with a regular price of p dollars. Complete the table by filling in the value of the coupon and the percent discount of the store's sale
The amount of the coupon is $30 which gives a discount of 60%.
Regular price of item = p
Final price paid by the buyer = 0.7p - 15
Discount = Regular price - Price paid by the buyer
Discount = p - (0.7p - 15)
Discount = p - 0.7p - 15.
p - 0.7p = 15
0.3p = 15.
Price = 15/0.3
Price = $50
Therefore, the amount paid by the person will be:
= 0.7p - 15
= 0.7(50) - 15
= 35 - 15
= 20
Therefore, the discount will be:
= 50 - 20 = 30
Discount percentage = 30/50 × 100 = 60%
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PLEASE SHOW ALL OF YOUR WORK
Solve for p
3(2p−1)−2(3p+4)=11p
Answer:
P = -1
Step-by-step explanation:
3(2p-1)-2(3p+4)=11p
Distribute:
6p-3-6p-8=11p
Combine like terms:
-11 = 11p
Solve for p by dividing by 11:
-11/11 = 11p/11
Simplify:
-1 = p
Step-by-step explanation:
6p - 3 - 6p - 8 = 11p
-11 = 11p
p = -1
Giving me brainiest will be appreciated
10-24
Which graph represents the solution to this system of inequalities?
-
3х — 5у < 15
y> - x +1
Answer:
Like this...
Step-by-step explanation:
The best represented graph should look something like this :)
(program used is Desmos)
1/4÷3/8 i need helpp tyy
8/12 is your answer hope i could help
answer po plss plss plsss plss
Answer:
Step-by-step explanation:
16.) (3/5)+(-13/5) = (3-13)/5
(3-13)/5 = -10/5, or -2
17.) -1 3/20 - (-3/4)
-(20/20+3/20) + (3/4)
-23/20 + 3/4
-23/20 + 15/20
-8/20
-2/5
18.) (-8/15)/(-1+1/3)
(-8/15)/(-3/3+1/3)
(-8/15)/(-2/3)
(-8/15)*(-3/2)
24/30
4/5
Peter baked 18 cookies. He gave 2/3 of the cookies to his friend. How many cookies did Peter give to his friend
Answer:
12
thStep-by-step explanation:
On October 23, 2011, one U.S. dollar was worth 49.84 Indian rupees.
(a) On that date, how many rupees was 77.65 dollars worth?
Round your answer to the nearest hundredth of a rupee.
rupees
(b) On that date, how many dollars was 82.12 rupees worth?
Round your answer to the nearest hundredth of a dollar.
dollars
On that date, 77.65 dollars is worth 3,870.08 rupees.
On that date, 82.12 rupees is worth $1.65.
What is the worth of the currencies?Exchange rate is the rate at which one currency is exchanged for another currency.
In order to convert rupees to dollars, multiply the value of the rupees by the exchange rate:
value of the rupees x exchange rate
77.65 to rupees = 77.65 x 49.84 = 3,870.08 rupees
In order to convert dollars to rupees, divide the value o the dollars by the exchange rate:
value of the dollars / exchange rate
82.12 to dollars = 82.12 / 49.84 = $1.65
To learn more about exchange rate, please check: https://brainly.com/question/25780725
#SPJ1
s=c=xc we are looking for x
Answer:
X=1
Step-by-step explanation:
If s=c=xc, x must equal one. This is because this rule allows us to say c=(1)c. with any other number, this is not true.
Find the value of x
Answer:
x = 8
Step-by-step explanation:
16x - 4 = 9x - 6 + 58
16x = 9x + 52 + 4
7x = 56
x = 8
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
The answer is B) 2/3x=5 and E) 6x-3+8=11.
Step-by-step explanation:
Basically, all we have to do is see which of the answer options contains an equal sign. So lets go from there:
Does A have an equal sign? We can see the plus sign, a coefficient, and a variable, but we don't have an equal sign, so A is not an equation.
What about B? Well, we can see an equal sign that is showing that two values of an expression equal each other, so yes, B is an equation.
What about C? Well, we can see the minus sign, a variable, and a coefficient, but there is no equal sign. Therefore C is not an equation.
What about D? Well, D has parenthesis, variables, coefficients, and a plus sign, but no equal sign. So no, D is not an equation.
Finally, is E and equation? Well, we can see that there are two values that are equal to each other as is shown by an equals sign. So yes, E is an equation.
*Had to replace so I could submit the answer
which ordered pair is a solution of the equation
Answer:
a
Step-by-step explanation:
2x+3y where it is 2,2 become 4 plus 6 which is 10
Answer:
A
Step-by-step explanation:
Step 1:
Make your equation into y=mx+b format
2x+3y=10 is the same as y=-2/3x+10/3 (10/3 is about 3.33)
Step 2:
Graph your equation
Step 3:
Plot your points and you will see that the only one that works is (2,2)
Hope that helps
what number is represented by each point on the number line
Answer:
Every point of a number line is assumed to correspond to a real number, and every real number to a point. The integers are often shown as specially-marked points evenly spaced on the line.
The measure of an angle is 15.8°. What is the measure of its complementary angle?
Answer:
x = 74.2°
Step-by-step explanation:
Complementary angles are two angles whose sum is 90°.
Let x = the second angle
15.8° + x = 90°
x = 90 - 15.8°
x = 74.2°
Plz help
A)40
B)30
C)24
Answer:
I think its 30 hope this helps and sorry if I get it wrong
Answer:
B) 30
Ok now that you have the answer......
If you have me, you want to share me.
If you share me, you no longer have me.
WHAT AM I???????
need help with this one too
Answer:
Line P
Step-by-step explanation:
Right know, we only care about the "alternate" part, or which line the two angles are opposite off. We can see that Line P is between Angle 9 and 3, making it the transversal line and causing 9 and 3 to be alternating.
-Chetan K
Transpose for p
w = p + cg
Make h the subject
m = r - h + 4d
The result of making the required variable the subject in both equation are :
p = w - cgh = - (m - r - 4d)Making p the subject in w = p + cg :
w = p + cg
Subtract cg from bith sides
w - cg = p + cg - cg
p = w - cg
2.)
Make h the subject m = r - h + 4d
m = r - h + 4d
Subtract r from both sides
m - r = r - h + 4d - r
m - r = - h + 4d
Subtract 4d from both sides
m - r - 4d = - h
Divide both sides by - 1
h = - (m - r - 4d)
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helppp
what is the slope
The slope is [tex]-\frac{3}{7}[/tex]
Equation of a line passing through the point ( -2 ,-4 ) is:
Answer:
Step-by-step explanation:
its a linear line so using the equation y=mx+c it can be determined that y=-4 when x=-2.
gradient (m) is -2 and c is -4
so that means y=-2x-4
If x2 + y2 = 14 and xy = 5, find the value of (1/2 x + 1/2 y)2.
Answer:
(½x+½y)²=6
Step-by-step explanation:
x^2 + y^2 = 14, xy=5
(A+B)^2=A^2 +2AB+B^2... (*)
(1/2x+1/2y)^2 =(*)
(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =
1/4x^2 +1/2xy+1/4y^2=
1/4(x^2 +y^2) +1/2(xy)=
1/4*14+1/2*5=
14/4+5/2=
14/4+10/4=
24/4=6
let me know if I'm wrong.
( 1/2x +1/2y)²
= { ( x + y )/ 2xy }²
= ( x² + 2xy + y² )/4(xy)² —(1)
As we know that x² + y² = 14 — (2)
and xy = 5 —(3)
So, substitute the value of equation 2 and 3 in equation 1,
= ( x² + 2xy + y²)/4(xy)²
=( 14 + 2*5)/(4*5²)
= 24/(4*25)
= 6/25.
Help me with this question (will mark brainliest)
Answer:
What's the question?
100 points
The average temperature of the earth's stratosphere is -70 degrees. The average temperature on the earth's surface is 57 degree. How much warmer is the average surface of the earth than the stratosphere?
Answer:127
all you do is subtract -70 by 57 and it will give you a negative but get rid of it and you get 127 or just take the - away from -70 and add 57
What is the equation of the line in the slope-intercept form?
Answer:
y = [5/2]x + [5]
Step-by-step explanation:
y= mx+b
m=rise/run
m=5/2
b=y intercept
b=5
y = 5/2x + 5
If someone answers this you getting 25 points and brainliest :D
the answer Is 0.24
Step-by-step explanation:
2.1 times 4.4 is
9.24
3.6 divided by 0.4 is
9
9.24 - 9
= 0.24
Remeber guys, we need to use pemdos. In this case we need to do 1. Multiplication
2. Division
3. Subtraction
We cannot do subtraction or division first. We need to go by order.
Maha keeps chickens. She estimates that the weight of one chicken egg is 75 g. Is this a reasonable estimate? Give a reason for your answer.
Step-by-step explanation:
Yes this is not reasonable estimate because we count dozens of eggs not its mass