Answer:
[tex] \dfrac{b^2}{4a^2} [/tex]
Step-by-step explanation:
There are some fractions there that are not visible.
Here it is with the fractions in place.
[tex] x^2 + \dfrac{b}{a}x = -\dfrac{c}{a} [/tex]
To complete the square, take half of the x-term coefficient, and square it.
The x-term coefficient is [tex] \dfrac{b}{a} [/tex].
Take half of it, or [tex] \dfrac{b}{2a} [/tex].
Now square it: [tex] \dfrac{b^2}{4a^2} [/tex].
That is what you must add to complete the square.
Answer:
(b/2a)^2
Step-by-step explanation:
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For every five yardsyou run Jill run 6 yards if you run 30 yards then how far has jill run
question a - you run 30 yards (divide by 5 then muliply by 6) so Jill runs 36 yards.
question b - Jill runs 54 yards (divide by 6 then multiply by 5) so you run 45 yards.
-9/10 - 2/5 I NEED HELPPP NOWWWWWW
-9/10 - 2/5 is -13/10... or -1 3/10
A Board Is 3 yards and 1 foot long. How long will the board be if 56 inches are cut from one end?
How to solve part to whole?
35 rounded to the nearest hundred
Answer and Explanation: 35 rounded to the nearest 100 is 0. To round to the nearest hundred, you need to first identify the hundreds that are closest to the number you are rounding. For 35, the closest hundred that is lower than 35 is 0, and the closest 100 that is higher than 35 is 100.
The rounding of 35 to the nearest hundred gives us 0.
To round 35 to the nearest hundred, we need to determine which hundred it's closest to. In this case, we can see that 35 is near to 0 than to 100.
When rounding to the nearest hundred, we look at the number in the knock outs place.
However, we round up, and if it's lower than 5, If it's 5 or lesser.
In the number 35, the knockouts number is 3.
Since 3 is lower than 5, we round down.
When we round down, we keep the hundreds number as is and replace all the integers to the right with bottoms.
Thus, rounding 35 to the nearest hundred gives us 0.
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What is f(–3) for f(x) = 2x2 – x + 5?
Substitute the value of x = -3 to the equation:
[tex]f(x)=2x^2-x+5\\\\f(-3)=2(-3)^2-(-3)+5=2(9)+3+5=18+3+5=26[/tex]
Answer: f(-3) = 26
Suppose f(x)=2x−5. Find the value of f(3)
can someone please help me with this?
f(3) = 1
substitute x = 3 into f(x)
f(3) = (2 × 3) - 5 = 6 - 5 = 1
To find the value of f(3) for the function f(x) = 2x - 5, substitute x = 3 into the function. The value of f(3) is 1.
Explanation:To find the value of f(3) for the function f(x) = 2x - 5, we substitute x = 3 into the function.
So, f(3) = 2(3) - 5.
Simplifying further, we get f(3) = 6 - 5 = 1.
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the volume of a rectanglar box is 15,552 cubic inches. What is the volume of the box in cubic feet?
One (1) foot is equal to twelve (12) inches.
12 inches cubed is 1728.
Divide 15,552 by 1728
The answer is 9 cubic feet.
If you have any further questions feel free to ask.
Hope this helps.
The volume of the box is 9 cubic feet.
What is the volume of the cube?The volume of a cube is equal to the product of the length, width, and height of a cube.
The volume of a cube is length × breadth× height
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions. Operators which let do a basic mathematical calculation
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
Given that,
Volume of a box = 15,552 cubic feet
Since one foot is equal to twelve inches.
We are to convert the dimension to cubic feet.
Using the conversion factor
∵ 1 feet = 12 inches
∴ 1 cubic foot = 1728 cubic inches
Divide 15,552 by 1728
⇒ 15,552/1728
⇒ 9
Hence, the volume of the box is 9 cubic feet.
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The number of yellow fish at the aquarium is 5 fewer than 3 times the number of blue fish. The table shows how the number of yellow fish, y, depends on the number of blue fish, b. Choose the equation which represents the rule.
Answer:
If you are on USATestPrep (which you most likely are) the correct answer is C.
Step-by-step explanation:
C) y = 3b − 5
It is “5 fewer than 3 times”
Answer:
y = 3b-5
Step-by-step explanation:
The number of yellow fish is 5 fewer than 3 times the number of blue fish. Using b to represent the number of blue fish, 3 times this is 3b; 5 fewer than this is 3b-5. This gives us the equation
y = 3b-5
Which of the following is a true statement describing the pattern 20, 25, 30, 35,…? The pattern contains only even numbers. The pattern contains only odd numbers. The pattern is decreasing. The pattern contains only factors of 5.
In this pattern all are divisible by 5
20[tex] =4×5[/tex] i.e. divisible by 5
25[tex] = 5×5 [/tex] is divisible by 5
30[tex] =2×3×5[/tex] is divisible by 5
35[tex] =7×5 [/tex] is divisible by 5
Hence the pattern contain factor 5
The statement that correctly describes the pattern 20, 25, 30, 35, ... is that it contains only factors of 5.
The given sequence of numbers is 20, 25, 30, 35,... and the correct statement describing this pattern is that it contains only factors of 5. This is because each number in the sequence is a multiple of 5 and can be divided by 5 without leaving a remainder. The sequence is not exclusively even or odd numbers, as it contains both (20 and 30 are even, while 25 and 35 are odd). Also, the pattern is not decreasing; it is instead increasing by increments of 5.
Please Fill in the Blank with the simplified equation. 5/8g=40
Multiply both sides by 8
5/8g × 8 = 40× 8
5g = 320
Divide both sides by 5
5g/5 = 320/5
G = 64
The fastest that a seahorse can travel is 2,640 feet per hour. What is its top speed in miles per hour? plz i need help
The answer would be 0.5 miles per hour. This is because to get from feet per hour to Miles per hour, you need to divide by 5280. (1 mile = 5,280 feet.)
Harry pays $3.50 sales tax on a $70 item. What is the sales tax rate?
The answer is 5% tax rate for the item. Work shown below.
Harry pays 5% of the cost as sales tax.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Harry who pays $3.50 sales tax on a $70 item.
Assume that the sales tax rate is x%. Then -
x = (3.5/70) x 100
x = 5%
Therefore, Harry pays 5% of the cost as sales tax.
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what is 6 7/8 + 7 5/12
[tex]6 \: \frac{7}{8} \: + 7 \frac{5}{12} [/tex]
Here is your equation:
[tex]6 \frac{7}{8} + 7 \frac{5}{12}[/tex]
As you can see, the denominators, which is the bottom number in the fraction, are different. You need to have the same denominator, so that you can add it. To change the denominators, you need to find the LCM of both denominators, which is 8 and 12. To find the LCM, first list the multiples of both numbers and see what is common.
[tex]8 - 8, 16, 24, 32, 40, 48, 56 \\12-12, 24, 36, 48[/tex]
The only common number is 48. That means you need to change both fractions so that they have a denominator of 48.
[tex]6 \frac{7 \times 6}{8 \times 6} \rightarrow 6 \frac{49}{48}[/tex]
[tex]7 \frac{5 \times 4}{12 \times 4} \rightarrow 7 \frac{20}{48}[/tex]
Here is your new equation:
[tex]6 \frac{49}{56} + 7 \frac{20}{48}[/tex]
Add:
[tex]6 \frac{49}{48} + 7 \frac{20}{48} = 13 \frac{69}{48}[/tex]
Simplify:
[tex]13 \frac{69}{48} \rightarrow 14 \frac{21}{48} \rightarrow 14 \frac{7}{16}[/tex]
Your answer is 14 [tex]\frac{7}{16}[/tex]
If you have any questions, feel free to ask in the comments! :)
Suppose each square on the grid below is 1 cm by 1 cm. Estimate the area of the figure.
A. About 40cm2
B. About 30 cm2
C.About 20 cm2
D. About 10 cm2
Answer:
c
Step-by-step explanation:
if u count the whole square , and the half filled then you add calculator will be needed
what is the area of the shaded region ???
z-score fore -1.2 = 0.1151
z-score for 0.85 = 0.8023
Subtract :
0.8023 - 0.1151 =0.6872
The answer is C.
Find three consecutive even integers with a sum of 78
The consecutive numbers are 25,26,27
which point represents the origin?
point c cause its 0 and yeah have goood luck buddy
The body of a person who weighs 50 kilograms contains around 2 × 10^2 grams of sodium chloride. How much sodium chloride is contained in the bodies of 1.8 × 10^3 people who each weigh 50 kilograms? Represent the answer in scientific notation
A. 3.6 × 10^5 gramsB. 1.1 × 10^1 gramsC. 36 × 10^5 gramsD. 11 × 10^1 grams
Answer:
Answer is A.[tex]3.6*10^{5}[/tex]
Step-by-step explanation:
Mass of Sodium Chloride in one 50kg person = [tex]2*10^{2}[/tex] grams
Mass of Sodium Chloride in [tex]1.8*10^{3}[/tex] 50kg people = [tex]2*10^{2}[/tex] * [tex]1.8*10^{3}[/tex]
=[tex](1.8*10^{3})*(2*10^{2})[/tex]
=[tex]3.6*10^{5}[/tex]
So the Answer is A.
if tickets for a amusement park cost $10 for adults and $6 for children.What is the total cost for 2 adults ad 3 children
(10)2 x (6)3 = 38
It will cost $38 for 2 adult's and 3 children's tickets.
what is the square root of 28x to the third power y to the third power
Hello!
√28x³y³ is equal to [tex]2xy\sqrt{7xy}[/tex]
We can find this solution through the following steps.
Rewriting the equation by factoring 4 from 28, factoring out x², and factoring out y²We then can rewrite 4 as 2² in our equation, leaving us with [tex]\sqrt{2^{2}*7*(x^{2}x)*y^{2}y }[/tex]We will then move our x and 7, and rewrite [tex]2^{2}*x^{2}* y^{2}[/tex] as [tex](2xy)^{2}[/tex]We can then pull the terms from the radical leaving us with [tex]2xy\sqrt{7xy}[/tex]Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Three-fourths as many teenagers as children attended. How many adults attended?
Answer: 220
Step-by-step explanation:
Children (x): $2
Teens (y): $3, [tex]\frac{3}{4}x[/tex]
Adults: (z): $5
Quantity: x + y + z = 570 ⇒ x + [tex]\frac{3}{4}x[/tex] + z = 570 ⇒ 1.75x + z = 570
Cost: 2x + 3y + 5z = 1950 ⇒ 2x + 3[tex](\frac{3}{4}x)[/tex] + 5z = 1950 ⇒ 2x + 2.25x + 5z = 1950 ⇒ 4.25x + 5z = 1950
Qty: 1.75x + z = 570 → 5(1.75x + z = 570) → 8.75x + 5z = 2850
Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → -4.25x - 5z = -1950
4.50x = 900
x = 200
Teens (y): [tex]\frac{3}{4}x[/tex]
y = [tex]\frac{3}{4}(200)[/tex]
= [tex]\frac{600}{4}[/tex]
= 150
Quantity: x + y + z = 570
200 + 150 + z = 570
350 + z = 570
z = 220
substitute the value of x back into the equation 3/4x+3-2x=-1/4+1/2x+5 to justify the solution what value of x is the solution ? x=
Answer:
x = -1
Step-by-step explanation:
We can subtract the right side of the equation to get ...
[tex]\dfrac{3}{4}x+3-2x-\left(-\dfrac{1}{4}+\dfrac{1}{2}x+5\right)=0\\\\x\left(\dfrac{3}{4}-2-\dfrac{1}{2}\right)+\left(3+\dfrac{1}{4}-5\right)=0\quad\text{collect terms}\\\\-\dfrac{7}{4}x-\dfrac{7}{4}=0\quad\text{simplify}\\\\x+1=0\quad\text{multiply by $-\frac{4}{7}$}\\\\x=-1[/tex]
Checking by subsitution, we have ...
... (3/4)(-1) +3 -2(-1) = -1/4 +(1/2)(-1) +5
... -3/4 +3 +2 = -1/4 -1/2 +5
... 4 1/4 = 4 1/4 . . . . . answer checks OK
Answer:x=-1 or D
Step-by-step explanation: hope I can help!
Can someone please help me with this?
They are looking for the percentage.
Female (pass): [tex]\frac{42}{42 + 14} = \frac{42}{56}= 0.75[/tex]
Male (pass): [tex]\frac{14}{42 + 14} = \frac{14}{56}= 0.25[/tex]
Female (fail): [tex]\frac{15}{15 + 5} = \frac{15}{20}= 0.75[/tex]
Male (fail): [tex]\frac{5}{15 + 5} = \frac{5}{20}= 0.25[/tex]
Answer: Pass Fail
Female 0.75 0.75
Male 0.25 0.25
Total 1.00 1.00
Mr. Hodges wants to build a fence around his entire rectangular garden. What is the total distance around the garden?
30 feet with 6 yards
Answer:
The total distance around the garden is 96 feet.
Step-by-step explanation:
We are given a rectangular garden which is 30 feet by 6 yards.
In order to solve this problem, first we have get our units right. We decide to work with feet.
1 yard = 3 feet.
Therefore,
6 yard = 18 feet.
Thus, in feet we have a rectangular garden which is 30 feet by 18 feet.
Therefore the total distance around the garden—i.e its perimeter—is:
[tex](30*2)feet+(18*2)feet = 96feet[/tex]Answer:
96 is the answer
Step-by-step explanation:
I did it and got it right on my quiz
Given: ABC is similar to XYC. If BY = 4, YC = 7, XC = 10. Which of the following proportions could be used to solve for AC? 4/7 = 10/AC 7/4 = 10/AC 4/11 = 10/AC 7/11 = 10/AC
Answer: The correct option is 4th, i.e., [tex]\frac{7}{11}= \frac{10}{AC}[/tex].
Explanation:
It is given that ABC is similar to XYC. If BY = 4, YC = 7, XC = 10.
Draw a diagram by using the given information.
From the figure,
[tex]BC=BY+YC[/tex]
[tex]BC=4+7[/tex]
[tex]BC=11[/tex]
If the two triangles are similar then their corresponding sides are is in proportion and the corresponding angle are same.
[tex]\frac{YC}{BC}=\frac{XC}{AC}[/tex]
[tex]\frac{7}{11}=\frac{10}{AC}[/tex]
Therefore, the correct option is 4th.
Answer:
The answer is D :)
Step-by-step explanation:
solve for equation or formula for the variable specified.
3y + z = am - 4y (solve for y)
a bank offers an interest rate of 4% on a savings account . Write 4% as a decimal.
0.04
Hope this helps & good luck. :)
78 = -2(m + 3) + m. 0.6(y + 3) = 4.8
All tests for the first six chapters of a textbook had 20–30 questions. The chapter 7 test will be given tomorrow. What reasonable conclusion can you make?
The chapter 7 test will have 20-30 questions on it. Novanet!
Answer:
We can conclude that the chapter 7 test will also have 20-30 questions on it.
Step-by-step explanation:
All tests for the first six chapters of a textbook had 20–30 questions.
The chapter 7 test will be given tomorrow.
Hence, based on reasoning, we can say that the chapter 7 test can also have 20-30 questions in it.
The probability is also high as all the 6 previous tests had 20 to 30 questions. Hence, it is very likely that the 7th test will also have same number of questions.