Answer:
A) w^2 +17w -308 = 0
B) (w -11)(w +28) = 0
C) length: 28 ft; width: 11 ft.
Step-by-step explanation:
A)If w is used to represent the width of the garden, then its length is w+17, and the relation to area is ...
w(w +17) = 308
w^2 +17w -308 = 0 . . . . the desired quadratic equation
__
B)The equation can be factored as ...
(w -11)(w +28) = 0 . . . . . the factored equation
__
C)The positive solution for w in the factored equation is w = 11. Then the length of the garden is ...
w +17 = 11 +17 = 28
The length and width of the garden are 28 feet and 11 feet, respectively.
Which equation has a solution of r = 1/3
Answer:
Step-by-step explanation:
Any equation, for example 2r =2/3
If f(x) = x2 + 5, find f(-9).
Answer:
f(-9) = 86
Step-by-step explanation:
Hi there!
f(x) = x² + 5
To find f(-9), replace x with -9:
f(-9) = (-9)² + 5
f(-9) = 81 + 5
f(-9) = 86
I hope this helps!
Who answer this right gets 10 pts!
Answer: 45 degrees angle
What is the measure
. of ZBAC?
**
(x + 10)
с
E
(2x - 10)
fo
D
Answer:
The measure of ∠BAC is 30°
Step-by-step explanation:
Given:BAC = (x + 10)°
DAE = (2x - 10)°
Here, BAC and DAE are vertical angles, So they are equal
BAC = DAE
(x + 10)° = (2x - 10)°
x + 10° = 2x - 10°
Subtract 10° and 2x from both side we get,
x + 10° - 10° - 2x = 2x - 2x - 10° - 10°
-x = -20°
x = 20°
Here, The value of x is 20°
Now, We want to find ∠BAC
So,
∠BAC = (x + 10)° = 20° + 10° = 30°
Thus, The measure of ∠BAC is 30°
-TheUnknownScientist 72
Find the missing angle
Answer:
x=33
Step-by-step explanation:
The sum of the angles of a triangle is 180
23+124+x = 180
147+x =180
x = 180-147
x =33
Answer: 33
Step-by-step explanation:
A triangle is equal to 180 degrees. So you add 124 and 23 to get 147. You would then subtract 180-147=33 and then you have your answer. Hope this helps!
Hey everyone! This questions is tricky for me so can anybody help me out?
I would be very grateful if you can!
g(x) = 2x^2
for g(- 4), you just plug in - 4 for x
g(- 4) = 2(- 4)^2
g(- 4) = 2(16)
g(- 4) = 32
Answer:
g(-4) = 32
Step-by-step explanation:
Given the quadratic function, g(x) = 2x², finding the output value given g(-4) involves substituting the value of the input, x = -4, into the function.
Solution:g(x) = 2x²
g(-4) = 2(-4)² = 2(-4)(-4)
g(-4) = 2(16)
g(-4) = 32
Therefore, g(-4) = 32.
Marking anybody who got it the brainliest
Answer:
c = sqrt 13.4689 rounded to sqrt 13.5 = 3.5
Step-by-step explanation:
maybe A+ B totals sqrt 13 = 3.60555128 if so they have rounded down for c to = 9 then 6 + 8 added on ay = sqrt 6+ 8 = sqrt 14 = sq rt 3.74165739 in all effect if triangular = average of a= b = 3.67^2 = 13.4689 then through Pythagoras c = sqrt 13.4689 rounded to sqrt 13.5 = 3.5
you make an invesment of 1,000 that you are not allowed to cash in for 10 years. the value decreases by 10% each year. how much money will be left at the end of the 10 year term
Answer:
0
Hope I helped
The United States Department of Agriculture reports that 14% of Americans are now on food stamps. If there are 340,000,000 Americans, how many are on food stamps?
Answer: 47600000
Step-by-step explanation:
340000000 * 0.14
= 47600000
1. 63 is 90% of what number?
70
with double number lines-Super confused, please help!!
Answer:
70.
Step-by-step explanation:
Let x be the required number.
We are asked to find the number whose 90% equals to 63.
We can represent our given information in an equation as:
Now, we need to solve for x.
Therefore, 90% of 70 is 63.
graph F(x)= -3/4X + 6 plotting point
Answer:
I'm not entirely sure whether is X is with 4 under the fraction or not, so I put up both graphs results.
First one: F(x) = -(3/4)X +6
Second graph: F(x) = -(3/4X) + 6
ma trận nghich đoa rlaf gì
Step-by-step explanation:
??? I don't understand pls? type on English
Amy graphed a point to represent the absolute value of a number on a number line. If the original number is less than −10, describe all the possible values for the point Amy graphed on the number line.
Answer:
x>= 11 or x>10
Step-by-step explanation:
Absolute value can be used to represent the positive counterpart of a negative number. In this case, we are asked to find a number that is less than -10, meaning from -11 to negative infinity. Since we are asked to take absolute value, we would take |-11| which equals 11, and |-∞| = ∞.
So Amy graphed a value on the number line that is greater than or equal to 11, or any value greater than 10.
*Infinity is not a real number, it represents the largest number possible, which doesn't exist since numbers can continue on forever, so it can be disregarded.*
Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Find the total number of each coin.
Answer:
Sophie Has 7 Dimes, And 14 Quarters
Step-by-step explanation:
Sophie Had 7 Dimes, 7 Dimes, 7 Dimes!
Sophie Had 14 Quarters, 14 Quarters, 14 Quarters!
Sophie is Bill Nye's Daughter.
Mr. Hansen baked 1,692 chocolate cookies he
package them into boxes of 36 cookies each how many boxes did he fill
Answer:
47 boxes
Step-by-step explanation:
Since each box has 36 cookies, we can divide the total number of cookies by 36 to find out how many boxes he could fill.
1692/36=47
calculate: [ -26 (-26) ] + [ (7) x -0.89 ] = ????
Answer:
669.77
Step-by-step explanation:
x + 3
if f(x) =
=
9
Х
Find f"(x).
Answer:
-3/1-x
Step-by-step explanation:
the answer is up look at it
write an equation of the line below?
Last year, the school library had a total of x books. Over the summer, the library acquired another 36 books and now has a total of 2,284 books. Which
equation could be used to find x, the number of books the library had last year
Answer:
the last year the eschool has 2248 books
Step-by-step explanation:
2284-36=2248
Answer:
2,248=2,284-36b
Step-by-step explanation:
since the library acquired(added) 36 books the library now has a total of 2,284 books.
To find out how many books the library had before they added 36 books you need to set up a simple equation.
2,284-36=2248
since you now know that before summer the library had 2,248 books you would write an equation and when you solve it you should get 2,248. The equation should be 2,248=2,284-36b. b representing the total number of books that were added.
Hope this helped you!
Rafael is building a fence around his garden. For every 3 feet of fencing, the cost is $18.
Complete the table below showing the length of the fence and the cost.
Answer:
4 = 30
7 = 42
8 = 48
10 = 60
Step-by-step explanation:
The first thing you'll want to do is find the price for 1 foot of fencing.
18/3 = 6, which means that 1 foot of fencing costs $6. Then, either multiply or divide the number given by 6 to find the blank number. Hope this helps!
Answer:
30/18 = 1.666666667 x 3
1. 5/30
7/5 = 1.4 x 30 = 42
2. 7/42
48/42 = 1.4285714286 x 7 = 8
3. 8/48
10/8 = 1.25 x 48 = 60
4. 10/60
Step-by-step explanation:
you can use a equavilent fractions or ratios calculator to make sure this is 100% correct.
Anna went to the playground at 4:05 P.M. She played on the slide for 30 minutes and the swings for 55 minutes, then went home. What time was it when Anna left the playground?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer:
5:30 P.M.
Step-by-step explanation:
30 (slide) minutes and 55 (swings) minutes. These numbers (time-wise) total up to an hour and 25 minutes. Adding this to 4:05 P.M. would mean that she left the playground at 5:30 P.M.
Hope this helps.
1. Using what you know about similar triangles, find an equation for the line in the diagram. Find m (slope) and b (y-intercept) in the equation of the line: y = mx + b. Label your answers in decimal form if needed. m = b = 2. What is the slope of this line? Slope = 3. Is the point (9, 11) also on the line? (Type "YES" or "NO") 4. Is the point (100, 193) also on the line? (Type "YES" or "NO") 5. Is the point (20, 33) also on the line? (Type "YES" or "NO")
Answer: WHERE IS THE DIAGRAM
Need help with 9 only
9514 1404 393
Answer:
0, 4, 8
Step-by-step explanation:
As you have noticed, the difference between the end values of x is 20-4 = 16, and the differences in each interval are 4.
The difference between the end values of y is 12 -(-4) = 16, so the differences in each interval will also be 4.
The missing table values are 0, 4, 8. The completed table is ...
[tex]\begin{array}{cccccc}x&4&8&12&16&20\\y&-4&0&4&8&12\end{array}\right][/tex]
Examine the equation that follows. Fill in the missing pieces to create an
equation with no solution. Prove your reasoning.
-9y+ 7 = ?y + ?
Answer:
-9y + 7 = -9y + 6
Step-by-step explanation:
-9y + 7 = -9y + 6
Has no solution
add 9y to both sides
7 = 6 which is false
therefor no y exists that can result in a solution
10^6 standard form
10^2 standard form
10^5 standard form
10^4 standard form
10^1 standard form
The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 188 feet. Find the width of the garden.
Answer:
44 Feet
Step-by-step explanation:
Trust me
Answer:
Width = 43 feet
Step-by-step explanation:
Given the 188-feet perimeter of a rectangular garden, for which its length is 8 feet longer than its width:
We can express the length of the rectangular garden as: 8 + W.
Hence, in order to solve for the length and the width of the rectangular garden, use the following formula for the perimeter of a rectangle:
Perimeter (P) = 2(L + W) or 2L + 2W = 188 feet
Length (L) = 8 + W
Width (W) = W
Substitute these values into the perimeter formula to solve for the value of the rectangular garden's dimensions:
P = 2L + 2W
188 feet = 2(8 + W) + 2W
Distribute 2 into the parenthesis, (8 + W):
188 = 16 + 2W + 2W
Combine like terms:
188 = 16 + 4W
Subtract 16 from both sides:
188 - 16 = 16 - 16 + 4W
172 = 4W
Divide both sides by 4 to solve for W:
[tex]\LARGE\mathsf{\frac{172}{4}\:=\:\frac{4W}{4}}[/tex]
W = 43
Therefore, the width of a rectangular garden is 43 feet.
Since we determined that the length is 8 + W, then it means that the length of the rectangular garden is 51 feet.
Verify the dimensions:Double-check whether we have the correct dimensions for the rectangular garden by substituting the length (L) = 51 feet, and the width (W) = 43 feet, into the perimeter formula:
P = 2L + 2W
188 feet = 2(51) + 2(43)
188 feet = 102 + 86
188 feet = 188 feet (True statement). This means that we have the correct dimensions for the rectangular garden.
Answers:Therefore, the width of a rectangular garden is 43 feet.
Jonah earns $3 an hour working after school and $4 an hour working on Saturdays. Last week he earned $43, working a total of 13 hours. How many hours did he work on Saturday?
Answer:x = amount of hours worked after school
y = amount of hours worked on saturday
x+%2B+y+=+13 or x+=+13+-+y
and
3x+%2B+4y+=+43
plug:
3%2813+-+y%29+%2B+4y+=+43
39+-+3y+%2B+4y+=+43
y+=+4
plug:
x+=+13+-+y
x+=+13+-+4+=+9
9 hours worked after school and 4 hours worked on saturday
Step-by-step explanation:
Help me pleaseeeeeee
Answer:
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Please help hurry hurry hurry fast
Find the rate if a principal of $1,800 earned $378 interest in 6 years
Answer:
Interest rate (r ) = 0.035 or 3.5%
Step-by-step explanation:
Given the principal amount of $1,800, and an interest payment of $378 earned in 6 years:
Use the simple interest formula and algebraically solve for variable, interest rate, r :
I = P × r × t
Where:
I = interest payment = $378
P = principal amount = $1,800
t = time (in years) = 6
r = interest rate
Divide both sides by P × t to isolate r :
[tex]\displaytext\sf{\frac{I}{P\:\times\:t}\:=\:\frac{P\:\times\:r\:\times\:t}{P\:\times\:t}}[/tex]
[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{I}{P\:\times\:t}}[/tex]
Substitute the given values into the formula for the interest rate:
[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{378}{1800\:\times\:6}\:=\:\frac{378}{10800}}[/tex]
Interest rate (r ) = 0.035 or 3.5%
Therefore, the interest rate is 3.5%.
