Answers
Answer:
x=±√7
Step-by-step explanation:
Hi there!
We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).
So we need to isolate x onto one side.
We can start by adding 42 to both sides
6x²=42
divide both sides by 6
x²=7
Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).
x=√7 and x=-√7 (can be rewritten as x=±√7)
Hope this helps! :)
Answer:
Step-by-step explanation:
6x the ''2'' is supposed to be a exponent all the time -42=0
6x2 -42 + 42=0 +42 {add 42 to both sides}
6x2=42
6x2 42
------fraction brackets = ------- {divide by 6}
6 6
x2 =7
Related Questions
Surf Shack rents boards to beach goers. Each boogie board, b, rents for $5 per day and each surfboard, s, rents for $10 per day. On Tuesday, they rent out a total of 14 boards and have an income of $80. Write two equations relating boogie boards, b, and surfboards, s.
Answers
Answer:
b + s = 14
5b + 10s = 80
Step-by-step explanation:
Answer:
b + s = 14
$5b + $10s = $80
Step-by-step explanation:
the sum of boogie board and surfboard rented is 14
boogie board rented + surfboard rented = 14
b + s = 14 equation 1
total income derived from renting the two types of boards is $80
total income derived = total income derived from renting boogie boards + total income derived from renting surfboards
total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented
= $5 x b = 5b
total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented
= $10 x s = 10s
80 = 5b + 10s equation 2
Lateral area=
A)96 pie square units
B)24 pie square units
C)48 pie square units
Answers
Answer:
C)48 pi square units
Step-by-step explanation:
The lateral area is the area around the sides ( does not include the top or bottom)
LSA = 2pirh
= 2 pi(4) (6)
= 48 pi
Help help help need to bring my f up in math
Answers
Answer:
(4,20)
Step-by-step explanation:
The table shows the ordered pair (4, 16), meaning that (4, 20) wouldn't fit.
What portion of shared $6000 security costs should be apportioned to store B?
Answers
Answer:
$600
Step-by-step explanation:
2500+625+625+2500=6,250
625/6,250=.10 or 10%
6000x.10=600
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
97 muffins
100 muffins
101 muffins
120 muffins
Answers
1 hr = 24 muffins
So basically you have to multiply 24 times 5 to get you the answer. 24 x 5 = 120
The answer is 120 muffins.
The theoretical probability of choosing Event A is 2
—
7
. What is the
theoretical probability of not choosing Event A?
Answers
Answer: [tex]\dfrac{5}{7}[/tex]
Step-by-step explanation:
Given
The theoretical probability of choosing an event A is [tex]\dfrac{2}{7}[/tex]
The sum of the probability of occuring and non-occuring of an event is always equal to 1.
So, the probability of non choosing Event A is
[tex]\Rightarrow 1-\dfrac{2}{7}\\\\\Rightarrow \dfrac{7-2}{7}\\\\\Rightarrow \dfrac{5}{7}[/tex]
2,737 ÷ 305
4,516 ÷ 22
8,911 ÷ 45
9,473 ÷ 5
876 ÷ 2
Answers
Answer: 1: 8.973770492
2: 205.2727273
3: 198.0222222
4: 1894.6
5: 438
Answer:
1: 8.973770492
2: 205.2727273
3: 198.0222222
4: 1894.6
5: 438
Step-by-step explanation: Just use a caculator
Si el velocimetro de un auto marca un 25% mas que la verdadera velocidad y en este momento marca 100km/h entonces la velocidad verdadera es?
Answers
Answer:
True speed of the car is 87 km/h.
Step-by-step explanation:
Speed = 100 km/h
hike in speed = 25 %
Let the true speed is v.
[tex]v + 15% of v = 100 \\\\v + 0.15 v = 100 \\\\1.5 v = 100\\\\ v = 87 km/h[/tex]
A man was paid basic wage of 2.50. dollars a day.if he worked every day in the month, calculate his basic wage for February
Answers
Which graph represents the solution of the system?
Answers
Answer:
We can determine which image is correct by the second equation, only in one of the images the line is correct.
X-y=1
So x = 1+ y
If y is one x should be two.
Only in one image that is true, the third image.
A member was charged 260$usd and then applied for financial aid and received a 30% discount . They reach out and ask for the 30% to be refunded from their recent charge . How much would the total charge be with the discount? How much would the refund be ?
Answers
Answer:
The total charge with the discount is $182
The refund is $78
Step-by-step explanation:
Given data
Charge= $260
Discount=30%
Let us find the amount of the 30%
=30/100*260
=0.3*260
=$78
The new charge after the discount is
=260-78
=$182
The total charge with the discount is $182
The refund is $78
pls help me solve pls show how you got the answer
Answers
Step-by-step explanation:
(-13) + 7 – (-2) + (-6) + ( ) = 0
Let the unknown be "y"
-13 + 7 + 2 - 6 + y = 0
-10 + y = 0
y=10.
The missing Number is 10.
Verify
-13 +7 + 2 -6 + 10 = 0.
Answer:
10
Step-by-step explanation:
A vine is 3 inches long.The vine will grow 0.5 inches a week. Which function represents the length of the vine after n weeks
Answers
Answer: [tex]3+0.5n[/tex]
Step-by-step explanation:
Given
Vine is 3 inches long
It grows 0.5 inches a week
So, after n weeks it is given by the sum of initial length and the growth in n weeks
[tex]\Rightarrow 3+0.5n[/tex]
A radius of a circle is 8 centimeters long.
One centimeter is about 0.4 inches. About
how long is the radius of the circle in
inches?
Answers
Answer:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
Abdul baked 300 cookies ,480 muffins and 240 cupcakes.Each container should be similar in terms of the numberof cookies, muffins and cupcake . A. What is the greatest number of containers he can pack? B. How many cookies ,muffins and cupcakes will there be in each container
Answers
Answer:
(a) 60 cups
(b) 5 cookies, 8 muffins and 4 cupcakes in each container
Step-by-step explanation:
Given
Let:
[tex]C \to Cookies; M \to Muffins; K \to Cupcakes[/tex]
So:
[tex]C : M : K = 300 : 480 : 240[/tex]
Solving (a): The greatest number of containers to be used;
To do this, we first reduce the ratio to the lowest
C : M : K = 300 : 480 : 240
Divide by 60
[tex]C : M : K = 5 : 8 : 4[/tex]
The ratio cannot be further reduced. Hence, he will use 60 cups
Solving (b): The number in each cup
In (a), we have:
[tex]C : M : K = 5 : 8 : 4[/tex]
This means that;
[tex]C = 5[/tex] --- Cookies
[tex]M = 8[/tex] --- Muffins
[tex]K = 4[/tex] -- - Cupcakes
39.341 × 0.72 = _____
Answers
Answer:
28.32552
Step-by-step explanation:
39.331×0.72=28.32552
Gavyn was thinking of a number. Gavyn subtracts 8.3 from the number and gets an answer of 52.7. Form an equation with x from the information.
Answers
x = 61
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
Answers
Step-by-step explanation:
many things are possible.
the only thing we must not do is mixing the addition elements with the multiplication elements.
but we could change the expression to
3×(3×8) + 5
or
5 + (3×3)×8
or
5 + (3×8)×3
and so on, and it would always be the same result.
The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.
The given expression is 5+3 ×(3×8).
We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.
What is the commutative property of addition?The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.
Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.
The new expression=3×(3×8)+5
Therefore, option B is the correct answer.
#SPJ2
Your question is incomplete, probably the complete question/missing part is:
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)
A. (3*3)*8+8
B. 3*(3*8)+5
C. 5+3*(24)
D. 3*(8*3)+5
Through (1,0) slope = -1
Answers
Answer:
y = -1x+1
Step-by-step explanation:
The equation for a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1x+b
Substitute in the point
0 = -1(1) +b
0 = -1+b
1 = b
The equation is
y = -1x+1
For homework, Anya had to find the width of a bedroom after the scale changed from 1 inch : 4 feet to 1 inch : 7 feet. Her work is shown below.
1 inch = 4 feet. 1 inches = 7 feet. A rectangle with length of 4 inches and width of 2 inches. StartFraction 1 over 7 EndFraction = StartFraction x over 2 EndFraction. 7 x = 2. x = StartFraction 2 over 7 EndFraction feet.
1
7
= x
2
7x = 2x = 2
7
feet
What error did Anya make?
Answers
Answer:
she set up the proportion incorrectly; the second ratio should be 2/x
Step-by-step explanation:
To obtain the width :
Scale drawing :
Initial = 1 inch = 4 feet
New = 1 inch = 7 feet
Width of rectangle = 2 inches
New width should be in the form :
new scale = width of rectangle / width of drawing
If width of drawing = x
1 / 7 = 2 / x
Cross multiply
x = 7*2
x = 14
Answer:
its A
Step-by-step explanation:
can someone help me with this please
Answers
Answer:
(3) is the right answer because 360° - 308° = 52°
Please help and thank you
a. Label another angle whose measure is 76º.
b. Explain how you know this angle has the same measure.
Answers
Answer:
Angle QRS
Step-by-step explanation:
because PQ is parallel to RS, angles PQR and QRS are alternate interior angles so theyre equal
On the coordinate plane, MNO has vertices M(4,4), N(5,-7) and O(-6,-6). What is the perimeter of MNO? If necessary, round your answer to the nearest tenth
Answers
Answer:
The perimeter is 36.2 units.
Step-by-step explanation:
M (4,4), N (5,-7) and O (-6,-6)
The distance formula is
[tex]d =\sqrt{(x''-x')^2 + (y''-y')^2}\\\\MN =\sqrt{(5 -4)^2 + (- 7 - 4)^2}\\\\MN = 11.05 \\\\MO =\sqrt{(-6 -4)^2 + (- 6 - 4)^2}\\\\MO = 14.14\\\\ON =\sqrt{(-6-5)^2 + (- 6 + 7)^2}\\\\ON = 11.05[/tex]
The perimeter is given by
P = MN + NO + MO
P = 11.05 + 14.14 + 11.05 = 36.24 units
help help me please!!
Sebutkan sepuluh bilangan genap?
Answers
Answer:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20Step-by-step explanation:
➡️ Pembahasan:
Bilangan Genap adalah bilangan yang dapat di bagi 2.
➡️ Penyelesaian Soal:
10 bilangan genap adalah
2468101214161820[tex]HAVE \: \ \: A \: \: \: \: NICE \: \: \: \: DAY![/tex]
Find the sum of the sequelle
Σ (k3 - 6)
k= 1
3
Σ (3-6) =
Answers
Answer:
[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]
Step-by-step explanation:
Given
[tex]\sum\limits^3_{k=1}(k^3 - 6)[/tex]
Required
Evaluate
This means that we substitute 1 to 3 for k.
So, we have:
[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1^3 - 6)+(2^3 - 6)+(3^3 - 6)[/tex]
[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1 - 6)+(8 - 6)+(27 - 6)[/tex]
[tex]\sum\limits^3_{k=1}(k^3 - 6) = -5+2+21[/tex]
[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]
A roll of nickels is worth $2.00. Write and
solve an equation to determine the number
of nickels in a roll.
Answers
Answer: 20 nickels to make $2.00
Step-by-step explanation:
Answer:
5x = 200
x=40
Step-by-step explanation:
Translate the equation into a sentence: 4(x - 3) = 6 + x
Answers
Answer:
Four times 3 less than the number is 6 more than the number.
Step-by-step explanation:
4(x - 3 ) => four times 3 less than the number
x + 6 => 6 more than the number.
4(x - 3 ) = 6 + x => four times 3 less than the is 6 more
than the number.
Find the distance between the pair of points: (3,-4) and (5,1).
Answers
please help!! I'm really confused
Answers
Answer:
(0,-4)
Point B is on (0,-4)
Hope this helped :)
Math help please show work thanks
Answers
Answer:
600.4 cm^2
Step-by-step explanation:
first we should find the base of samller triangle
hypotenuse = 35 cm
one side = 30 cm whereas other has be be find
using pythagoras theorem
a^2 + b^2 = c^2
30^2 + b^2 = 35^2
900 + b^2 = 1225
b^2 = 1225 - 900
b^2 = 325
b = [tex]\sqrt{325}[/tex]
b = [tex]5\sqrt{13}[/tex]
area of big triangle
base = 22 + [tex]5\sqrt{13}[/tex]
area of a triangle = base * height / 2
= 30 (22 + [tex]5\sqrt{13}[/tex] ) /2
=30*22 + 30*[tex]5\sqrt{13}[/tex] / 2
=660 + 540.83 / 2
=1200.83 / 2
=600.415
=600.4 cm^2
9514 1404 393
Answer:
330 cm²
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
where b is the base length and h is the height measured perpendicular to the base.
Here, the base length is 22 cm, and the height is 30 cm. The area is ...
A = 1/2(22 cm)(30 cm) = 330 cm²
__
Additional comment
As is often the case with "overspecified" geometrical figures, the given dimensions are inconsistent. If the side lengths are taken as true, the height is closer to 33.1 cm, and the area is about 364.1 cm².
We assume the intended solution method is the one used above, as all it requires is to make use of a simple formula, and the calculation can be done mentally.