Question 6
Step-by-step explanation:
the answer is f(a)=2a²+ 4a+5
Question 7
2a²+4ah+2h²+4a+4h+5
Find the sum of 3√2 and 2√8 in simplest form. Also, determine whether the result
is rational or irrational and explain your answer.
Answer:
7√2
7√2 is irrational since √2 is irrational
Step-by-step explanation:
3√2 + 2√8 = 3√2 + 2 × 2√2 = 3√2 + 4√2 = 7√2
7√2 is irrational since √2 is irrational
I Use the quadratic equation to complete the following sentence
2 - 4x + 10 = 0
The quadratic equation has
Select One
Answer:
your answer is 7/2
Divide 556 by 4 USING LONG DIVISION.
What are the numbers under the 556?
Answer as 1st row under 556
Next row under
Next row under
Next row under
Next row under
Next row under
What is the final answer?
Answer: 139
Step-by-step explanation:
first, 4 can go into 5 once so you would put one down --> 5-5= 1
bring down the one and then put down the 5 from the tens place
4 can go into 15 three times which would be 15-12 = 3
so at the top, you would have 13 so far
then with the 3 left bring down the 6 from the hundreds place from the 556
lastly, since 4 can go into 36 nine times you would put 9 down next to 13 on the top which would make it 139
(Sorry if it doesn't make that much sense)
is 1/8 equivalent to 2/12
Answer:
No
Step-by-step explanation:
Check by changing to a common denominator
Incorrect
7(14+49)
7(2+49)
Question 5
60
0/1 pts
Fabric is sold in stores from bolts that are 45 or 60 inches wide. What is the
width, in inches, of the widest strips of fabric you can cut from either bolt
without wasting any of the fabric if each strip has the same width?
Answer:
15
Step-by-step explanation:
The greatest common factor of 45 and 60 is 15.
On a map the distance between two towns is 2.6 cm to scale of the map is 1 cm 50 km what is the actual distance between two
The answer to this question is:
The actual distance between the two towns = 130 km
Given that according to the map scale,
Distance between two towns = 2.6cm
Given that the scale of map =
1cm = 50km
So, we are asked to find the actual distance between them.
For finding the distance between two towns, we have to multiply the distance from the map by the scale of the map.
Distance between two towns * scale of the map
= 2.6 * 50 km
= 130 km
Therefore, actual distance between the two towns = 130 km
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a boy weighs 90 pounds on earth but 34.5 pounds on mars how much does a 600 pound man weigh on mars
Answer:
230lb
Step-by-step explanation:
The Boy weighs 90 lb on earth and 34.5 on the Moon.
90/34.5= 2.608695652
The boys weight on earth divided by his weight on the moon is equal to the difference in weight
So for a 600 lb guy
600/2.608695652 = 230
The guys Earth weight divided by the difference in weight is equal to his moon weight.
Which equation represents the graph of this function?
_
A ) f(x)= √ x −4
____
B) f(x)= √x + 4
____
C) f(x)= √x - 4
_
D) f(x)= √x + 4
Answer:
USE air math
Step-by-step explanation:
hope that helps
The mean diameter of holes produced by a drilling machine is 4.05mm and the standard deviation of the diameter is 0.0028mm. for 20 holes drilled using this machine. determine , correct to the nearest whole number how many hare likely to have diameters of between
a) 4.048 and 4.0553
assuming they are normaly distributed
The hole having the diameters likely between 4.048 and 4.0553 is 17.
Maximum value of diameter = 4.05 + 0.0028 = 4.0528
Minimum value of diameter = 4.05 - 0.0028 = 4.0472
So, the diameters of the holes are in AP with common difference
= (2 × 0.0028) / 20 = 0.00028
So, the AP is:
4.0472, 4.04748, 4.04776, 4.04804, …, 0.0.0528
So, the first 3 terms are not included between 4.048 and 4.0553
Hence, the answer is 20 - 3 = 17
Therefore, the hole having the diameters likely between 4.048 and 4.0553 is 17.
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|1/4 x +2| -3 =5 solve for x and graph on number line
The value of x on the number line is 24 and - 40
A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.
The given equation is
[tex]|\frac{1}{4}x+2 | -3=5[/tex]
Solving the equation:
[tex]or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32[/tex]
Now we take the two separate values of x:
either x=-8+32 or x=-8-32
or,x=24 or x=-40
The value of x is 24 and - 40.
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4x^2-7; x= -2
4x^2-7x =
Step-by-step explanation:
f(x) = 4x² - 7 , x = -2
= 4x² - 7
= 4.(-2)² - 7
= 4.4 - 7
= 16 - 7
= 9
Would like help with this?
The largest interval in which the function is continuous is given by:
(-∞, -3).
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
A function is also not continuous for the values of x which are outside the domain of the function, hence a fraction is not continuous at the zeroes of the denominator.
In this problem, the zeroes of the denominator of the function are:
x = -3, x = 4.
Hence the continuity intervals are:
(-∞, -3).(3,4).(4,∞).The largest one is the first, as |-3| < |4|, meaning that it is a larger distance from infinity.
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Simplify the expression.
(4 × 6)y=
Answer:
24y^2
Step-by-step explanation:
4y x 6y =
24y ^2
24y to the second power
Write a subtraction expression using integers that equals -6
A quadratic function has A) straight lines that do both increase, decrease or stay constant on the same graph. B) curved lines that only increase or decrease. C) curved lines that do both increase and decrease on the same graph. D) straight lines that only increase or decrease. E) straight lines that do both increase and decrease on the same graph
Fill the table below using the function f(x) = -2x^2 +5x-3
x | f(x)
-1.4 |
-0.7 |
0 |
0.7 |
1.4 |
+ Explain?
The complete table of values is
x | f(x)
-1.4 | -13.92
-0.7 | -7.48
0 | -3
0.7 | -0.48
1.4 | 0.08
How to fill the table using the function?The function is given as:
f(x) = -2x^2 +5x - 3
Next, we calculate the values of the functions at the given x values
So, we have:
f(-1.4) = -2(-1.4)^2 + 5(-1.4) - 3 = -13.92
f(-0.7) = -2(-0.7)^2 + 5(-0.7) - 3 = -7.48
f(0) = -2(0)^2 + 5(0) - 3 = -3
f(0.7) = -2(0.7)^2 + 5(0.7) - 3 = -0.48
f(1.4) = -2(1.4)^2 + 5(1.4) - 3 = 0.08
Hence, the complete table of values is
x | f(x)
-1.4 | -13.92
-0.7 | -7.48
0 | -3
0.7 | -0.48
1.4 | 0.08
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HELP ME AGINS SNDJJEJEJE
Answer: 0
Step-by-step explanation:
-2+-1 = -3
-3+0 = -3
-3+1 = -2
-2+2 = 0
What is an equation of the line that passes through the point ( − 3 , − 1 ) (−3,−1) and is perpendicular to the line x − 2 y = 6 x−2y=6?
The equation of the line passing through given points (-3, -10) and perpendicular to other is y + 2x + 7 = 0.
When the equation of line in point-slope form?A line's equation in point slope form is (y - y₁) = m. (x – x₁). As a result, the equation of a line with slope m passing through the origin is: y - 0 = m(x = 0), i.e. y = mx.where m is the line's slope and (x₁, y₁) are the coordinates of a provided point on the line .The equation of the perpendicular line is given as;
x − 2y = 6
Write the equation in standard form;
y = x/2 - 3
Where, slope of the line m₁ is (1/2) and y -intercept is (-3).
The other line passing perpendicular on this line has a slope: m₂.
The relation between slopes of perpendicular lines are-
m₁ × m₂ = -1
m₂ = -1/m₁
m₂ = -1/(1/2)
m₂ = -2
Now, the coordinates of the line are: (-3, -1)
The equation of the line will be;
(y - y₁) = m₂ (x – x₁)
Put the values;
(y - (-1)) = -2(x - (-3))
y + 1 = -2x - 6
y + 2x + 7 = 0
Thus, the equation of line is y + 2x + 7 = 0.
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Translate the sentence into an equation.
Five times the sum of a number and 3 equals 7.
Use the variable x for the unknown number.
Answer:
(5x) + 3 = 7
Step-by-step explanation:
Times means 'The answer when you multiply' So we are working in multiplication. ( x )
5x is the multiplication.
It says 'and' which can also mean addition. So we add 3. So far our equation is: (5x) + 3 (Brackets are needed as we are multiplying 5 by x and not multiplying 5 by x+3)
Lastly it says the answer must be 7 so we add that at the end. So the answer is:
(5x) + 3 = 7
Please this question correctly if you answer right I’ll give u brainlest
Answer:
Subtraction
Step-by-step explanation: Your subtracting 4 to the equation
The difference between two numbers is 2811.
The bigger number is 4200.
What is the smaller number?
The smaller number is 1389. We get this by using the technique of subtracting the bigger from the smaller number and equate it to the difference product.
Given the difference between two numbers is 2811.
The bigger number is 4200.
The smaller number is = ?
let the smaller number be 'x'
as the statement says difference between two numbers = 2811
Subtract the largest number from the smallest number to determine the difference between two integers. This sum is a product, and the difference between the two values is the product.
⇒ bigger number ₋ smaller number = 2811
⇒ 4200 ₋ x = 2811
⇒ ₋ x = 2811 ₋ 4200
⇒ ₋ x = ₋ 1389
cancel the negative sign from both sides.
x = 1389
hence we get the smaller number as 1389.
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HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What percentage of the original price was the discount?
Answer: 80%. Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
To find the percentage, divide the sale cost by the original cost:
27.60/34.50
Let's multiply both sides by 10 to make the operation easier:
27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->
276/345, now solve:
276/345 = 0.8
0.8 = 80%
The percentage is 80%.
find the distance between the two points in simplest radical form. (-2,1) and (-8,-7)
Answer:
10
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
*Please help*
Xavier bought a new boat for $24,000 in the year 2009. He knows that the value of the boat has depreciated linearly. If the value of the boat in 2010 was $18,500, what was the annual rate of change of the boat's value? Round your answer to the nearest hundredth if necessary.
Answer:
5500 is correct Answer.
Please mark me as brainlist answer.
determine the values of the missing entries. reduce all fractions to the lowest terms
9x-6y= 18
By evaluating the given linear relation, we conclude that the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
How to determine the values of the missing entries?Here we have the linear relation:
9x - 6y = 18
And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.
For example, the first pair has y = 0.
Evaluating that we get:
9x - 6*0 = 18
9x = 18
x = 18/9 = 2
Then we have the pair (2, 0).
The second has x = 0, replacing that we get:
9*0 - 6*y = 18
y = 18/-6 = -3
So we have the pair (0, -3)
The third has x = 1, replacing that:
9*1 - 6y = 18
-6y = 18 - 9 = 9
y = 9/-6 = -3/2
So we have the pair (1, -3/2)
The last value on the table is y = 4, replacing that:
9x - 6*4 = 18
9x - 24 = 18
9x = 18 + 24 = 42
x = 42/9 = 14/3
Then the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
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How many solutions does the following system of equations have? 5x−2y=10 y=5/2x-5
Answer:
Infinite number of solutions
No unique solution
Step-by-step explanation:
5x - 2y = 10 (1)
y = 5/2x - 5 (2)
Multiply (2) by 2 to get
2y = 5x - 10
Rewrite the above equation as 5x - 2y = 10 (3)
Since both equations are the same, we are provided with a single equation in 2 variables there are infinite solutions
Please solve this! I need it asap!
The differentiation of the given function is expressed as; 2x - √3(y) = 0
How to carry out Differentiation?
We want to differentiate the function;
x² - √3(xy) + 2y² = 12
To differentiate this means to express as;
x²(dy/dx) - √3(xy)(dy/dx) + 2y²(dy/dx) = 12(dy/dx)
This gives us;
2x - √3(y) + 0 = 0
2x - √3(y) = 0
Thus, the differentiation of the given function is expressed as;
2x - √3(y) = 0
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mr drew wants to build a square sandbox with an area of 100 square feet. What is the length of wood Mr.Drew needs to.make the sides of the sandbox
(13) Determine if the following equation has one solution, no solution, or infinite
solutions: 15y + 14 = 7(2y + 2).
Answer:
y = 0, one solution
Step-by-step explanation:
15y + 14 = 14 y + 14
-14y -14y
y + 14 = 14
-14 -14
y = 0
so one solution
Solve for f can somebody help
Answer: f < 9
Step-by-step explanation:
first, cross multiply 2 and 2:
f - 5 < 4
f < 9
Answer:
f < 9
Step-by-step explanation:
=> (f-5)/2 < 2
multiplying both sides by 2
=> 2(f-5)/2 < 2×2
=> f-5 < 4
adding 5 to both sides
=> f-5+5 < 4+5
=> f < 9
