The right answer is Option C.
Step-by-step explanation:
Given inequality is
[tex]\frac{n}{7}+3\geq -4[/tex]
We will first subtract three from both sides.
[tex]\frac{n}{7}+3-3\geq -4-3\\\frac{n}{7}\geq -7[/tex]
In the next step we will multiply both sides with 7 to determine n.
Therefore,
Subtract three, then multiply by 7.
The right answer is Option C.
Keywords: inequality, subtraction
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Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Answer:
Second option: On a coordinate plane, rectangle A'B'C'D' prime has points [tex](-4,4),(12,4),(12,-4),(-4,-4)[/tex]
(See the graph attached)
Step-by-step explanation:
For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.
In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image) are the following:
[tex]A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)[/tex]
Therefore, to find the vertices of the rectangle A'B'C'D' (The Image) that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:
[tex]A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)[/tex]
Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.
Answer:
answer A
Step-by-step explanation:
What’s the equivalent of 16 million
Answer:
$16 million (provided that it is in US dollar) is equivalent to 16 orca/killer whales (each costs $1 million)
Explanation:
I'm not sure what equivalent you're looking for, but $16 million is worth a lot of money. You can actually purchase 16 killer whales with that. An orca whale is the largest member of the dolphin family and most of them can be purchased from Russia.
You may also use the money for a sharing program, such as the 16-million-dollar bike sharing program in Los Angeles. It would be a great advancement in the people's mobility. This will give more liberty to public spaces.
Which of the following describes the graph of y = x² - 144?
1) The graph has zeroes at x = 12 and x = -12 and it opens upward.
2) The graph has zeroes at x = 12 and x = 12 and it opens upward.
3) The graph has zeroes at x = -12 and x = -12 and it opens downward.
4) The graph has zeroes at x = 12 and x = -12 and it opens downward.
For what value of x do expressions 2x+3 and 3x-6 have the same value?
Answer:
x = 9
Step-by-step explanation:
To find the value of x to make the 2 expressions equal, then equate them, that is
3x - 6 = 2x + 3 ( subtract 2x from both sides )
x - 6 = 3 ( add 6 to both sides )
x = 9
Then
3x - 6 = 3(9) - 6 = 27 - 6 = 21 and 2x + 3 = 2(9) + 3 = 18 + 3 = 21
7. The chess club plans to sell water bottles to raise $455. They have
$175 already. If they sell water bottles for $8 each, at least how many
bottles do they need to sell in order to raise enough money?
Answer:
35 bottles
Step-by-step explanation:
455
- 175 = 280
280 ÷ 8= 35
Proof
8 x 30= 240
8 × 5= 40
240 + 40= 280
Simplify 8y + 4x - 2y + 5x
Answer:
6y+9x
Step-by-step explanation:
Combine like terms.
8y-2y=6y
4x+5x=9x
6y+9x
Answer:9x+6y
Step-by-step explanation:
8y +4y-2y+5x
=8y+4x+-2y+5x
(4x+5x)+(8y+-2y)
I need help on this!!!
Answer:I would say at least 8:05
Step-by-step explanation:I’m probably doing this wrong but... if you take two away from the seven and add it to 7:58 you get 8:00. But you still have the remaining 5 minutes so you simply add it to the 5:00 and get 5:05.
How do you simplify the problem 6(2x+5)+2
Answer:
12x+32
Step-by-step explanation:
6(2x+5)+2
12x+30+2
12x+32
the temperature rises 15 degrees Fahrenheit (°F) and then drops by 8°F. If the
temperature started at -11°F, what temperature change would be required to bring
the temperature to 0°F?
Answer:
=4
Step-by-step explanation:
-11+15=4
4-8=-4
-4+4=0
Answer:
decrease of 4F since it started at 8 <3
Step-by-step explanation:
please say thanks !
What is the expanded form of 4(7x+3)
Final answer:
The expanded form of 4(7x+3) is achieved by using the distributive property, resulting in the expression 28x + 12.
Explanation:
The expanded form of the algebraic expression 4(7x+3) involves distributing the 4 to both terms inside the parentheses. This is accomplished using the distributive property of multiplication over addition. The steps are as follows:
Multiply 4 by 7x to get 28x.
Multiply 4 by 3 to get 12.
Combine these products to express the expanded form.
Therefore, the expanded form of 4(7x+3) is 28x + 12.
As for evaluating complex expressions such as 2+x(−7+x(2+x(−8+x(−2+3x)))), you would begin by substituting the value of x and simplifying from the innermost parentheses outwards. However, this is a different exercise than simply expanding an algebraic expression.
Keshawn is asked to compare and contrast the domain and
range for the two functions.
which statements could he include in his explanation?
Select two options.
f(x) = 5x
g(x) = 5
The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of f(x) is y> 0.
The range of g(x) is y > 0.
Answer:
First and Last Option.
Step-by-step explanation:
Took the test!
Keshawn could include the following statements in his explanation:
The domain of both functions is all real numbers.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
Options A, D, and E are the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 5x
g(x) = 5
The domain of a function is the set of all possible input values.
The range of a function is the set of all possible output values.
Now,
For both of these functions, the domain is all real numbers.
This is because we can plug in any value for x and get a valid output.
For example:
If we plug in x = 0, we get.
f(0) = 5(0) = 0
g(0) = 5
For both functions, we get a valid output, even though they are different. We can do this for any real number value of x.
Now,
For f(x) = 5x, the range is y > 0.
This is because the function produces positive output values for any positive input value of x, and negative output values for any negative input value of x.
The only value for which f(x) produces a zero output is x = 0, but this is not included in the range since it is not greater than zero.
For g(x) = 5,
The range is also y > 0.
This is because the function produces a constant output of 5 for any value of x. Since 5 is greater than zero, the range of g(x) is also y > 0.
Thus,
The domain of both functions is all real numbers.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
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f(2/9) if f(x)=3x+1/3 x=2/9
Answer:
[tex]f(\frac{2}{9})=1[/tex]
Step-by-step explanation:
we have
[tex]f(x)=3x+\frac{1}{3}[/tex]
we know that
f(2/9) is the value of the function f(x) when the value of x is equal to 2/9
so
For x=2/9
substitute the value of x in the function and solve for f(x)
[tex]f(x)=3(\frac{2}{9})+\frac{1}{3}[/tex]
[tex]f(x)=\frac{2}{3}+\frac{1}{3}[/tex]
[tex]f(x)=\frac{3}{3}[/tex]
[tex]f(x)=1[/tex]
therefore
[tex]f(\frac{2}{9})=1[/tex]
a wooden dowel has a diameter of 1.20 cm it floats in water with 0.400 cm its diameter above water determine the density of the dowel?
Final answer:
The density of the wooden dowel can be determined using the principle of buoyancy to calculate the volume of the submerged part and the total volume of the dowel which, when combined with the mass of the displaced water, provides the density of the dowel.
Explanation:
To determine the density of the wooden dowel based on its flotation characteristics, you can use the principle of buoyancy, which states that the buoyant force exerted on a submerged object equals the weight of the fluid displaced by that object. Since the dowel floats in water, the weight of the displaced water equals the weight of the dowel.
First, calculate the volume of the submerged part of the dowel: The dowel has a diameter of 1.20 cm, and the submerged height is the total diameter minus the portion above water, which is 1.20 cm - 0.400 cm = 0.800 cm. The volume (V) of the submerged cylinder is V = πr^2h, where r is the radius (half the diameter) and h is the submerged height. Plugging in values, V = π(0.6 cm)^2(0.8 cm).
Second, calculate the mass (m) of the dowel using the density (ρ) of water (1 g/cm^3) and the volume of water displaced which equals the volume of the submerged part of the dowel: m = ρ_water * V_submerged.
Finally, to find the density of the dowel, divide the mass of the dowel by the total volume of the dowel. The total volume is the same formula V = πr^2h, but with h being the full diameter of the dowel since it's cylindrical. The density of the dowel is ρ_dowel = m / V_total.
Using these steps, you can calculate the density of the dowel.
What is the y-intercept of the line given by the equation below? Enter your answer as an ordered pair.
y = 2x + 10
Final answer:
The y-intercept of the equation y = 2x + 10 is 10, which means the ordered pair for the y-intercept is (0, 10).
Explanation:
The y-intercept of the line given by the equation y = 2x + 10 can be found by looking at the equation in its slope-intercept form, which is y = mx + b. Here m represents the slope of the line, and b represents the y-intercept. Since the y-intercept is the value of y when x is zero, we can determine that the y-intercept for this line is the constant term in the equation, 10. Therefore, the y-intercept as an ordered pair is (0, 10).
find the value of x and the measure of the exterior angle
The measure of the angle x is 70 degrees because the sum of the two interior angles is equal to the exterior angle.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
As we know,
The sum of the two interior angles is equal to the exterior angle.
15 + 35 = x
x = 70 degrees
Thus, the measure of the angle x is 70 degrees because the sum of the two interior angles is equal to the exterior angle.
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Provide three examples of how the purpose of investing is different than the purpose of saving.
Answer:
Investing vs. Saving
Step-by-step explanation:
SAVING
Your "savings" are usually put into the safest places or products that allow you access to your money at any time.Examples: savings accounts, checking accounts, and certificates of deposit.Investing
When you "invest," you have a greater chance of losing your money than when you "saveThe money you invest in securities, mutual funds, and other similar investments is not federally insured. You could lose your "principal," which is the amount you've investedExamples: stocks, bonds, mutual funds, interest-bearing accounts, land, derivatives, real estate, artwork, old comic books, jewelry -- anythingLearn more about saving and investing here :
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The circumference of a circle is 314 units. What is the area?
Answer:
7850 square units
Step-by-step explanation:
According to the question;
Circumference of a circle is 314 units;We are required to find the area of the circle;
First, we need to ask ourselves how we get the perimeter of a circle;Perimeter of a circle = pi × D or 2 pi r
Therefore;
Rearranging the formula;
D = Perimeter ÷ pi
Taking pi to be 3.14
Then;
Diameter = 314 units ÷ 3.14
= 100 units
But, radius = Diameter ÷ 2
= 100 units ÷ 2
= 50 units
We also need to know how we calculate the area of a circle;
Area of a circle = pi×r²
Therefore;
Taking pi as 3.14
Then, Area = 3.14 × 50²
= 7850 square units
Thus, the area of the circle is 7850 square units
Haley read five more than half as many books as her brother did last summer. Haley read seven books
Which equation could you use to find how many books (b) her brother read?
A. 2b-5 = 7
B. 1/2b+7=5
C. 1/2b+5=7
D. 1/2(7)+5=b
Answer:
C
Step-by-step explanation:
Haley read five more than half as many books as her brother did last summer.
1/2b + 5 = 7 (the amount Haley read)
b = the amount Haley's brother read
what are the quadratic equations for x=-14
Answer:
[tex]x^{2} +14x=0[/tex]
Step-by-step explanation:
Given:
Given root is
[tex]x=-14,\ 0[/tex]
Now we need to find the quadratic equation for given roots.
Solution:
The given roots are -14 and 0.
So, the sum of the roots.
[tex]\alpha +\beta = -14 + 0[/tex]
[tex]\alpha +\beta = -14[/tex]
Product of the given roots
[tex]\alpha\times \beta = -14\times 0[/tex]
[tex]\alpha\times \beta = 0[/tex]
Therefore, the required quadratic equation is.
[tex]x^{2} -(\alpha +\beta )x+\alpha\times \beta=0[/tex] -------------------(1)
Now we substitute [tex](\alpha +\beta )[/tex] and [tex](\alpha\times \beta)[/tex] in equation 1.
[tex]x^{2} -(-14)x+0=0[/tex]
[tex]x^{2} +14x=0[/tex]
Therefore, the quadratic equation for the given root is. [tex]x^{2} +14x=0[/tex]
Angelica is a sales representative for appliance. She needs to make at least $5,000 in weekly sales of a particular TV model to qualify for a sales competition to win a trip to the Bahamas. If T represents TVs and the TV cell for 250 each how many TVs will she have to sell to qualify.
Answer:
20 TV need to be sold to qualify for the trip.
Step-by-step explanation:
Given: Sale price of each TV is $250
Sales target to qualify for trip is $5000.
As given, T represent TV sold.
Now, finding the number of TV sold to qualify for the trip.
Forming an inequality for the number of TV sold to qualify for trip.
We know, Total amount of TV sold= [tex]Selling\ price\ of\ each\ TV \times Number\ of\ TV\ sold[/tex]
∴ To qualify for trip: [tex]250T\geq 5000[/tex]
solving it by dividing both side by 250
∴[tex]T\geq \frac{5000}{250}[/tex]
[tex]T\geq 20\ TV[/tex]
Hence, Angelica need to sell minimum 20 TV to qualify for the trip.
What is the answers and steps to solve
7=|3x+9|+7
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given the equation
[tex]7=|3x+9|+7[/tex]
1. Use Addition property of equality, add -7 to both sides:
[tex]7-7=|3x+9|+7-7\\ \\0=|3x+9|[/tex]
2. The absolute value of the number is 0 if and only if the number is 0, so
[tex]3x+9=0[/tex]
3. Use Addition property of equality, add -9 to both sides:
[tex]3x+9-9=0-9\\ \\3x=-9[/tex]
4. Use Division property of equality, divide both sides by 3:
[tex]\dfrac{3x}{3}=\dfrac{-9}{3}\\ \\x=-3[/tex]
The solution is x = -3.
To solve the equation 7 = |3x + 9| + 7, let us follow these steps:
First, we simplify absolute value expression:
7 = |3x + 9| + 7
0 = |3x + 9|
The absolute value of a number is zero only when the number itself is zero. So, we set the expression inside the absolute value equal to zero:
3x + 9 = 0
3x = -9
x = -3
The solution to the equation is x = -3.
Compute the area of the triangle.
h=8 cm
b = 16 cm
a
=
cm2
Answer:
Area of triangle = 64 cm²
Step-by-step explanation:
Base, b = 16 cm
Height, h = 12 cm
Formula of area of triangle:-
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
[tex]A=\dfrac{1}{2}\times 16\times 8[/tex]
[tex]A=64[/tex]
Hence, the area of triangle is 64 cm²
Answer:
Area of triangle = 64 cm²
Step-by-step explanation:
Let f(x)=8x+8 find and simply f(x+1)
Answer:
Step-by-step explanation:
f(x) = 8x + 8
f(x+1) = 8(x+1) + 8
= 8x + 8 + 8
= 8x + 16
Answer:
f(x+1) = 8x + 16
Step-by-step explanation:
f(x+1) = 8(x + 1) + 8 = 8x + 8 + 8 = 8x + 16
Which two operations are needed to write the expression that represents “five less than the quotient of a number and three”?
Answer:
'<' (lessthan symbol) and '/' (division symbol) are the two operations needed here to represent the given expression
In the expression [tex]5<(\frac{x}{3})[/tex] we are using the '<' (lessthan symbol) and '/' (division symbol)
The expression that represents “five less than the quotient of a number and three” is [tex]5<(\frac{x}{3})[/tex]
Step-by-step explanation:
Given that “five less than the quotient of a number and three”
To find the two operations that are needed to write the given expression :
Let x be the number
“five less than the quotient of a number and three”
can be written as below
[tex]5<(\frac{x}{3})[/tex]
Therefore “five less than the quotient of a number and three”=[tex]5<(\frac{x}{3})[/tex]
The expression that represents “five less than the quotient of a number and three” is [tex]5<(\frac{x}{3})[/tex]
In the expression [tex]5<(\frac{x}{3})[/tex] we are using the '<' (lessthan symbol) and '/' (division symbol)
'<' (lessthan symbol) and '/' (division symbol) are the two operations needed here to represent the given expression
Answer:
Step-by-step explanation:
division and subtraction
If Johnny had 4 apple and Keisha had 6 apple how many did they have all together?
Answer:
10 apple
Step-by-step explanation:
4 + 6 = 10
Jason signed up to receive Internet service for $13 per month, plus a $30 start-up
fee. If
he has $134, how many months of internet can he receive?
Answer:
With $134 he can receive 8 moths of internet. Hope this helps
What is 90.69 rounded to the nearest tenth
Answer:
90.7
Step-by-step explanation:
90.69
where 6 is tenth place
and 9 is hundredth place to the right of the decimal
the rule for decimals is that we look for the hundredth digit, if it is equal to or greater than 5 then 1 is added to the tenth place digit. and remove all the digits to the right
here 9>5
so 6+1=7
we write
90.7 ANSWER
1) –10x – y = 0
10x – 4y = 0
Answer:
The solution is (0 ,0)
Step-by-step explanation:
–10x – y = 0 (1)
10x – 4y = 0 (2)
solving by elimination:
(1)+(2)⇒ -5y=0 ⇒ y=0
if we replace y by 0 in the first equation we will get :
–10x – 0 = 0 ⇒ x=0
WILL MARK BRAINLIEST AND THANK YOU!! PLEASE HELP!!
Which basic construction if shown here?
A) bisect an angle
B) bisect a like segment
C) construct a parallel line
D) copy a line segment
Answer:
Step-by-step explanation:
A) bisect an angle
A bag has 2 red marbles, 1 blue marble and 4 gold marbles. What is the probability of
drawing two gold marbles, if the first marble is replaced after it is drawn?
A. 2/7
B. 16/49
C. 4/7
D. 7/13
Answer:
A bag has 2 red marbles, 1 blue marble and 4 gold marbles. What is the probability of drawing two gold marbles, if the first marble is replaced after it is drawn? The answer is 16/49
Step-by-step explanation: