Answers
9514 1404 393
Answer:
x = ±√13x = ±3√6x = ±√66x = 0 or 8Step-by-step explanation:
As in any "solve for" situation, you "undo" what is done to the variable.
Here, (for 3 of the 4 problems) the variable is ...
squaredmultiplied by a constantadded to a constantWe undo these operations in reverse order. First, we add the opposite of the added constant. Then we divide by the coefficient of x². Finally, we take the square root to "undo" the squaring operation.
1. 4x² -30 = 22 . . . . . . given
4x² = 52 . . . . . . . . . add 30 to both sides
x² = 13 . . . . . . . . . . . divide both sides by 4
x = ±√13 . . . . . . . . . take the square root. Both signs are solutions.
__
2. 3x² +4 = 166 . . . . . given
3x² = 162 . . . . . . . . add -4 to both sides
x² = 54 . . . . . . . . . . divide both sides by 3
x = ±√54 . . . . . . . . take the square root. 54 = 3²·6 has a square factor
x = ±3√6 . . . . . . . simplified result
__
3. (1/3)x² +14 = 36 . . . . given
(1/3)x² = 22 . . . . . . . . add -14 to both sides
x² = 66 . . . . . . . . . . . multiply both sides by 3
x = ±√66 . . . . . . . . take the square root
__
4. The same "undo" idea applies. Here, we can start with the square root.
(x -4)² = 16 . . . . . given
x -4 = ±4 . . . . . . . square root
x = 4 ± 4 . . . . . . add 4 to both sides
This means x = 4-4 = 0, or x = 4+4 = 8.
The solutions are x = 0, x = 8.
Related Questions
Find the measure of
Answers
Answer:
16
Step-by-step explanation:
If u use a protracter it will work
Two sides of a parallelogram are 65 feet and 87 feet. The measure of the angle between these sides is 52°. Find the area of the parallelogram to the nearest square foot.
Answers
Answer:
Area of the parallelogram is approximately 4,456.2 square feet
Step-by-step explanation:
The lengths of the sides of the parallelogram are 65 feet and 87 feet
The measure of the angle between the sides, Y = 52°
The formula for finding the area of a parallelogram is given as follows;
Area of a parallelogram = A·B·sin(Y)
Where;
'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them
Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;
Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²
solve the equation 243×=73, where × is the base of the number.
Answers
x= 73/243
x= 0.300412
The value of × that satisfies the equation 243× = 73 is approximately 0.6691.
To solve the equation 243× = 73, where × represents the base of the number, we need to determine the value of × that satisfies the equation.
We can start by rewriting the equation as an exponential equation:
243ˣ= 73
To solve for ×, we need to isolate × on one side of the equation. We can do this by taking the logarithm of both sides of the equation. Let's take the logarithm with base 10 (log) for simplicity:
log(243ˣ) = log(73)
Applying the logarithmic property, we can bring down the exponent × as a multiplier:
× * log(243) = log(73)
Now, we can solve for × by dividing both sides of the equation by log(243):
× = log(73) / log(243)
× ≈ 0.6691
Therefore, the value of × that satisfies the equation 243× = 73 is approximately 0.6691.
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Which expression is equivalent to 6k? – 7k – 20?
A (3k-4)(2k-5)
B (6k-5)(6k+4)
C (3k+4)(2k-5)
D (3k+4)(3k+5)
Answers
Answer:
Your answer is C, (3k+4)(2k-5)
Step-by-step explanation:
The length of a garden is 25 m. Find the width knowing that the area is between 300 m2 I need it now pls
Answers
Answer: 12m
Step-by-step explanation:
Assuming the garden is a rectangular one, the area can be calculated by the formula:
Area = Length * Width
Given the length, one can find the width by making it the subject of the formula:
300 = 25 * Width
Width = 300 / 25
= 12 m
HELP ME I BEGGGG THANK U PLEASE ITS DUE
Answers
Answer:
y=6x+24
Step-by-step explanation:
y = -2x+ 1 slope what is the answer I need help with it quick please help guys
Answers
Answer:
slope is -2
Step-by-step explanation:
A sweater regularly priced at $135 is on sale at 15% off. How much would you pay
for the sweater, including taxes of 13%?
Answers
you just figure out 15% of 135 which is 20.25 so you subtract that from 135, which gives you $114.75. then you just do 114.75 times the tax % and it totals out to be $129.66
A square has a side length of 2.5 feet if the square is dilated by a factor of 2.5 what is the length of a side of the new square
Answers
Answer:
6.25
Step-by-step explanation:
You would multiply 2.5 by itself since you're dilating your side length.
Jessica and two friends spent $36.93 on dinner. They left a $6.00 tip. How much money did each person spend if they split the bill and tip equally?
Answers
Answer:
14.31
Step-by-step explanation:
Please help I give out brainliest .....Kellie bought 8 towels and spent $39.60. Each towel costs the same amount.
Part A
Use the drop-down menus to create an equation that can be used to determine t, the
price, in dollars, of 1 towel.
+
8
39.60
V
Part B
What is the price, in dollars, of 1 towel?
Enter your answer in the box.
Answers
Answer:
Each Towel is 4.95 each
Step-by-step explanation:
We can use 8t = 39.60 as our equation
8t = 39.60
Divide 8 on both sides.
t = 4.95
Hope this helps! ^^
A type of fish for your aquarium costs $9 each. You can spend at most $63.
Write an inequality to model the problem.
Answers
Answer:
9x>63$
Step-by-step explanation:
nine $ aquarium , at most > 63$
HOW TO DO THIS QUESTION PLEASE
Answers
To find that out you do:
15/10 = 1.5
So they’re dilated by 1.5cm
To find the value for y you do:
6•1.5 = 9
y = 9
Cindy's square-shaped garden has side lengths of x ft. She will plant 5 tulip bulbs per square foot. Write a function g to model the number of bulbs she should plant. How many bulbs will she plant if the garden has a side length of 8 feet? for this problem what is the function we need to write g(x)=?
Answers
Answer:
The total number of bulbs are "320 bulbs".
Step-by-step explanation:
According to the question,
The square garden's side length,
x = 8 feet
Number of tulip bulbs she plant,
= 5
Now,
As per the question, the area of square will be:
⇒ [tex]A=x^2[/tex]
[tex]=(8)^2[/tex]
[tex]=64[/tex]
hence,
The total number of bulbs will be:
⇒ [tex]n=A\times 5[/tex]
[tex]=64\times 5[/tex]
[tex]=320 \ bulbs[/tex]
Thus the above is the correct solution.
Help me please!!:((((
Answers
Answer:
.01*.5ˣ
Step-by-step explanation:
we can see that x=0 y= .01
so in our equation
a*bˣ
a=.01
This is throuhg plugging in 0 for x
a*b⁰=.01
a*1=.01
a=.01
Now it's just a matter of finding b
to do this just plug in a value
we know that when x=1 y=.005
.01*b¹=.005
b= .5
So our final equation is : .01*.5ˣ
Akiko's bill at the restaurant was $14.05. She left a tip of 18% what is the tip amount (no rounding)
Answers
Answer:
$2.52
Step-by-step explanation:
A triangle has sides with length of 11 feet 12 feet and 13 feet. Is it a right triangle
Answers
Answer:
No
Step-by-step explanation:
It will be a right triangle if it follows Pyhthagoras Theorem . Where the sum of squares of two smaller sides is equal to the square of the 3rd side. Let's check ,
→ 11²+ 12² = 13²
→ 121 + 144 = 169
→ 265 ≠ 169
Hence the ∆ is not a right angled trianglex=4/2, y=2
x=8, y=2
x=8, y=4
x=472,y=4
x=4, y=42
Answers
Answer: x = 8 y = 4 or C
Step-by-step explanation:
The money used in Jordan is called the
Dinar. The exchange rate is 1 Dinar for
every $1.40. Find how many dollars you
would receive if you exchanged 32.4
Dinars.
Answers
Answer:
$45.36
Step-by-step explanation:
1 dinar = $1.4
32.4=?
32.4*1.4
$45.36
. The product of two integers is -84. One of them is 4, find the other integer.
Answers
Answer:
Answer :-Product of two integers = - 84
One integer = 4
Other integer = x
[tex]4 \times x = - 84 \\ 4x = - 84 \\ x = \frac{ - 84}{4} \\ x = - 21[/tex]
⎆ The value of the other integer is - 21
Enter the value of 3 over 4
Answers
Answer:
1. Three fourths
2. 3/4
3. 0.75
4. 75%
Step-by-step explanation:
i dont know which one you want
Answer:
.75
Step-by-step explanation:
3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75
Determine the solution to the equation. 2(9x - 6) = 6(3x - 2) + 2
A. Infinite
B. One Solution
C. No Solution
Answers
The triangular face of the given prism has an interior angle with a measure of 55° and an exterior angle with a measure of 95°. What is the measure of the marked interior angle?
Answers
Answer:
40 degrees
Step-by-step explanation:
sum of angles in a triangle = 180 degrees
if the exterior angle measures = 95, the interior angle beside it would measure 180 - 95 = 85
marked interior angle = 180 - (85 + 55) = 40 degrees
Answer:
As ewomazinoade states 40° should be the correct answer.
What is the correct algebraic representation of the transformation displayed on the graph?
A- (y,-x)
B- (-y,x)
C- (-x,y)
D- (-x,-y)
Answers
Answer:
[tex]transformation: (y,-x)[/tex]
----------------------------
hope it helps...
have a great day!!
What is the midpoint of (6,3) and (-3,-7)
Answers
Answer:
(Xm, Ym) = [ x1+x2/2, y1 + y2/2]
Given (6,3) (-3,-7)
x1 y1 x2 y2
Step-by-step explanation:
(Xm,Ym) =[ 6-3/2, 3-7/4]
= [ 3/2, -1]
HELP I NEED HELP QUICKLY PLEASEEEE
Answers
A= 61
B=107
C=12
I hope it’s correct. Please correct me if it’s wrong. I upload a picture of my work.
What is the volume of the pyramid in the diagram?
9 cm
height = 3 cm
5 cm
S cm
OA 25 cm3
OB.
75 cm
O C.
105 cm
OD. 135 cm
E.
225 cm
Answers
Answer:
A. 25 cm^3.
Step-by-step explanation:
Volume = 1/3 * area of base * perpendicular height,
= 1/3 * 5^2 * 3
= 5^3
= 25.
The correct option is A. Volume of the pyramid is 25 cm³ which is option A.
What is the volume of the pyramid?
The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.
The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.
5×5=25 cm²
Now multiply 25 by the height of the pyramid which is 3 cm.
25×3=75 cm³
Divide 75 by 3 to find the volume of the pyramid.
75÷3=25 cm³
Thus, the volume of the pyramid is 25 cm³ which is option A.
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Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answers
Answer:
hi
Step-by-step explanation:
omhg hi
Three yrs hence, a men will be three time his brother age and the sum of present age is 18 find their present age
Answers
Answer:
Step-by-step explanation:
Let the age of a man = x
Age of his brother = y
Three yrs hence, a man will be three time his brother age
This is written as:
x + 3 = 3(y + 3)
x + 3 = 3y + 9 .... Equation 1
The sum of present age is 18
= x + y = 18
x = 18 - y
We substitute 18 - y for x in Equation 1
find their present age
18 - y + 3 = 3y + 9
Collect like terms
21 - 9 = 3y + y
12 = 4y
y = 12/4
y = 3 years
x = 18 - y
x = 18 - 3
x = 15 years
4
How would you tell someone to plot (4,-3)?
pick the two best answers
1
go right 4
go left 4
go up 3
go down 3
What I pic
Answers
Step-by-step explanation:
go right 4
go down 3
it is the answer