Answer:
b = 2 or b = 7
Step-by-step explanation:
b/(b-7) - 2/b = 7/ (b-7)
b * b - 2(b - 7) = 7 * b
b^2 - 2b + 14 = 7b
b^2 - 9b + 14 = 0
(b - 2)(b - 7) = 0
b - 2 = 0; b = 2
b - 7 = 0; b = 7
Answer
b = 2 or b = 7
URGENT: Can someone help me solve these problems?
Answer:
12
Step-by-step explanation:
21=31
31=7+2-3+0=12
This is correct because linear equations mean add subtract divide and multiply instead of finding roots and squares
It is asking for the standard form for the quadratic function.
well factored would be f(x)= (x+4)(x+2) and standard for would be
f(x)= x^2+6x+8
Why did most Americans reject Marxism in the early 1900s? They believed that a government-run economy was best for all. They believed in a system owned and run by the individual. They believed that factory workers should make more than factory owners. They believed that the proletariat should control the means of pr
Answer:
They believed in a system owned and run by the individual
Step-by-step explanation:
In the early 1900's the majority of the Americans rejected the Marxist ideology, and they saw it as usurpation of their country and its foundations. The majority of the Americans favored the capitalism, and they saw their country as the country of opportunities where everyone can achieve everything if the person is smart enough and works hard enough. The Marxism suggested the total opposite of it, that everyone should be equal, have the same earnings, there's no prosper on a career level, so for the Americans was not attractive, and we can comfortably say that they made the right choice considering what happened in the countries that adopted this ideology.
Answer:
B They believed in a system owned and run by the individual
Step-by-step explanation: B
What is the factored form of x2 − 4x − 5?
Answer:
[tex]\large\boxed{x^2-4x-5=(x+1)(x-5)}[/tex]
Step-by-step explanation:
[tex]\text{The factored form:}\\\\ax^2+bx+c=a(x-x_1)(x-x_2)\\\\x_1,\ x_2-the\ zeros\\==============================\\\\\text{We have}\ x^2-4x-5:\\\\x^2-4x-5=x^2+x-5x-5=x(x+1)-5(x+1)\\\\x^2-4x-5=(x+1)(x-5)[/tex]
The table below represents the height of a bird above the ground during flight, with p(t) representing height in feet and t representing time in seconds
calculate the average rate of change from 3 to 9 seconds
Answer:
calculate the difference height (P) is -6 and (t) is 2.85
Δy divided by Δx = rate of change
3-9 = -6
6.23-3.41 = 2.85
then divide
2.85 / -6 = .475
Your answer will be - .475
Step-by-step explanation:
Using the table, the average rate of change from 3 to 9 seconds is of -0.475 feet per second.
The average rate of change of a function P(x) over an interval [a,b] is given by:
[tex]A = \frac{P(b) - P(a)}{b - a}[/tex]
In this problem, we want the rate from 3 to 9 seconds, hence [tex]a = 3, b = 9[/tex].
From the table, [tex]P(3) = 6.26, P(9) = 3.41[/tex], hence:[tex]A = \frac{3.41 - 6.26}{9 - 3} = -0.475[/tex]
Considering the units, the average rate of change from 3 to 9 seconds is of -0.475 feet per second.
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An online company lets you download songs for 0.99 cents after you have paid a 5 dollar membership fee. Which domain would be most appropriate to calculate the cost to download songs?
1, rational numbers greater than zero
2, whole numbers greater than or equal to one
3, integers less than or equal to zero
4, whole numbers less than or equal to zero
The most appropriate domain to calculate the cost of downloading songs is whole number greater than or equal to one.
What are whole number?Whole numbers include all natural numbers and 0. They are real numbers that do not include fractions, decimals, and negative integers.
It is most appropriate since numbers of songs downloaded cannot be a negative or part quantity.
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The most appropriate domain for calculating the cost to download songs after paying a membership fee is whole numbers greater than or equal to one, as you cannot download fractional or negative numbers of songs.
Explanation:The most appropriate domain for calculating the cost to download songs, given the information that an online company charges a $5 membership fee and then $0.99 for each song, would be option 2, which is whole numbers greater than or equal to one. The domain is referring to the number of songs you can download after the initial membership fee. Since you cannot download a fraction of a song or a negative number of songs, whole numbers make the most sense in this context. The cost for downloading songs would be the membership fee plus the cost per song times the number of songs downloaded, which is a linear relationship.
Please help! Need to confirm my answers.
Match the exponential functions f(x) and g(x) with their key features.
Answer:
Step-by-step explanation:
Average rate of change is Δy / Δx.
For f(x):
[ f(1) - f(0) ] / (1 - 0)
(1 - 3) / (1 - 0)
-2
For g(x):
[ g(1) - g(0) ] / (1 - 0)
(4 - 3) / (1 - 0)
1
Students were surveyed to find out the most popular pizza topping. According to the bar graph, how many students were surveyed?
A) 42
B) 44
C) 46
D) 48
The total number of students surveyed = 44 students
The answer is option D.
What is a bar graph?
A bar graph is a graph that presents categorical data with rectangular bars. The heights are proportional to the values that they represent. The bars can be plotted vertically or horizontally.A bar graph shows comparisons among different categories.
According to the given graph, the total number of students is equal to the sum of all the students in each vertical column.
∴tota students surveyed=12+8+9+15=44 students answer.
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What is the solution of square root x^2 + 49=x+5
Answer:
-44
Step-by-step explanation:
√x²+49=x+5
X+49=x+5
x-x=5-49
=-44
Answer:
x = 12/5
Step-by-step explanation:
[tex]\sqrt{x^{2}+49 } = x +5[/tex]
Square both sides: ([tex]\sqrt{x^{2} +49}[/tex])[tex]^{2}[/tex] = (x+5)[tex]^{2}[/tex]
[tex]x^{2} + 49 = (x+5)(x+5)\\[/tex]
[tex]x^{2} +49[/tex] = [tex]x^{2} + 10x + 25\\[/tex]
49 = 10x + 25
24 = 10x
[tex]\frac{12}{5}[/tex] = x
4708.06 rounded to nearest thousand
Answer
5,000
Explanation
1. Examine the number next to the thousands value (hundreds place)
2. Should that number be greater than 5, round the thousands value up one.
To round 4708.06 to the nearest thousand, we look at the hundreds place value which is '7'. Since it's higher than 5, we round up the thousands of places and the number becomes 5000.
Explanation:The process of rounding involves deciding which multiple of a certain number is closest to the number you're trying to round. If to round the number 4708.06 to the nearest thousand, we look at the hundreds place. In our case, it's '7', a digit that is 5 or higher.
Thus, we increase the digit at the thousands place by '1' and change all the subsequent digits to '0'. Therefore, 4708.06 rounds to 5000 when rounded to the nearest thousand.
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How will you write 7^5 as a multiplication expression?
A.
7 * 5
B.
7*7*777
C.
5 x 5 x 5 x 5 x 5 x 5 x 5
Answer:
The answer is 7*7*7*7*7
Step-by-step explanation:
The correct way to write 7^5 as a multiplication expression is by writing it as 7 multiplied by itself 5 times, which is 7 x 7 x 7 x 7 x 7.
The question asks how to write 7^5 as a multiplication expression. To correctly express 7^5, we represent it as 7 being multiplied by itself 5 times. So, the correct way to write 7^5 as a multiplication expression is 7 \u00d7 7 \u00d7 7 \u00d7 7 \u00d7 7. This clearly demonstrates the concept of an exponent, where the base (7) is multiplied by itself a certain number of times (5 times in this case), which is fundamentally different from just multiplying 7 by 5.
Given the function rule f(x) = x2 – 3x + 2, what is the output of f(-2)?
.
A. -8
B. 0
C. 4
D. 12
Answer:
C
Step-by-step explanation:
what are expressions are equivalent to 6x-18y
Answer:
Step-by-step explanation:
6 is common to both terms, so 6x - 18y is equivalent to 6(x - 3y).
What does |a|=|b| mean?
Answer:
a = ±b
Step-by-step explanation:
The vertical bars are the symbol for "absolute value", so the equation is saying, "the absolute value of 'a' is equal to the absolute value of 'b'." The absolute value is the magnitude of a number, so, for example, |-3| = 3.
If the magnitudes of two numbers are the same, they may be the same value, or they may differ in sign.
Answer:
See below.
Step-by-step explanation:
The 2 vertical lines about the letters mean ' the absolute value of' . That is if a or b have negative values then the absolute value will be the positive . For example if a = -4 then |a| = 4. The absolute value is always positive.
Therefore, for example, if a is 2 and b = -2 then |a| will be equal to |b|, because they both have a value of 2.
what is the value of the expression 2 squared + 4 squared divided by 2 squared
Answer:
5
Step-by-step explanation:
2² + 4² = 4 + 16 = 20
20 ÷ 2² = 20/4 = 5
Draw a triangles with sides of 9 cm, 7 cm, and 5 cm. Find its perimeter
The perimeter is 21 cm.
thanks
Answer:
12 + √74 cm
Step-by-step explanation:
The perimeter (literally meaning "around measure") is the length around an area, shape, or boundary. Here, we have a right triangle, and the legs of that right triangle measure 5 cm and 7 cm. Using the Pythagorean theorem, we can find the hypotenuse (we'll call it h):
[tex]5^2+7^2=h^2\\25 + 49=h^2\\74=h^2\\\sqrt{74}=h\\[/tex]
Adding all the lengths together, we find a perimeter of
5 + 7 + √74 = 12 + √74 cm
Explain how you drew and used a tape diagram to model and solve problem 1.
Answer:
800
Step-by-step explanation:
you follow the draeing above so you know that 4+5= 9 so u do 1800÷9 which equals 200 so u do 200×4=800
Answer:
Step-by-step explanation:
you follow the draeing above so you know that 4+5= 9 so u do 1800÷9 which equals 200 so u do 200×4=800
What is the reciprocal of 3 ?
What is the reciprocal of 11/8
Answer:
1 / 3 and 8 / 11
Step-by-step explanation:
When you find the reciprocal of something you flip the number over e.g
Find the reciprocal of 1 /2,
You ' flip it ' and it becomes 2 / 1 or 2
Answer: 1/3 and 8/11
Step-by-step explanation:
Please answer correctly thank you!
If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.
Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.
The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.
X = 180 - 61 - 61 = 58 degrees.
Determine which statements are true regarding the given solid. Check all that apply.
The three-dimensional solid is a hexagonal pyramid.
The three-dimensional solid is a hexagonal prism.
The solid can be created by stacking the same-size hexagons vertically.
The solid can be created by stacking dilated hexagons vertically.
Point D is the apex of the pyramid.
option A, D, and E
I just took it on edge
The true statement regarding the shape are:
The three-dimensional solid is a hexagonal pyramid.The solid can be created by stacking dilated hexagons vertically.Point D is the apex of the pyramid.Base: The bottom surface of a pyramid is a polygonal shape, such as a square, rectangle, triangle, or any other polygon. The base is typically larger in area compared to the other faces.
Faces: Pyramids have triangular faces that slope inward from the edges of the base to a single point at the apex. The number of faces depends on the number of sides of the base polygon.
Vertices: A pyramid has several vertices where the edges of the base meet the triangular faces, and one vertex where all the triangular faces converge at the apex.
Edges: The edges of a pyramid are the lines where the faces intersect. For example, a square pyramid has 8 edges (4 from the base and 4 connecting the base to the apex).
The width of a rectangle is y feet long. The rectangle is 4 feet longer than it is wide. What is the area of the rectangle? Which expression represents the area?
Answer:
y²+4y
Step-by-step explanation:
y multiplies with (y+4)
y times y is y²
y times 4 is 4y
That leaves you with y²+4y
Answer: [tex]y^2+4y[/tex] expresses the area.
Step-by-step explanation:
Let the width of a rectangle be 'y' feet.
Let the length of a rectangle be 'y+4' feet.
As we know the area of rectangle :
Area of rectangle is given by
[tex]Length\times breadth\\\\=y\times (y+4)\\\\=y^2+4y[/tex]
Hence, [tex]y^2+4y[/tex] expresses the area.
If 90 students were surveyed and 50 said they would buy a wristband, how many wristbands should Monty order for the school of 1800 students?
He should buy 1000 wristbands.
Since 50/90 students said they would buy a wristband, we can set up this proportion.
[tex]\frac{50}{90}[/tex] [tex]\frac{x}{1800}[/tex]
multiply 50 * 1800 divided by 90 = 1000
What is the point slope form of a line with slope 3/2 that contains the point (-1,2) ?
The options are in the picture ... please help !
y-2=3/2 (x+1) must be first
Lawrence got a car loan from a bank, with the car as collateral. What kind of loan did he get?
A. a secured loan
B. an unsecured loan
C. a fixed-rate loan
The answer is A. A secured loan, hope this helps!
Answer:A, a secured loan
Step-by-step explanation:
A cup of cereal can contain 480
480
milligrams of salt, which is 20%
20
%
of the recommended daily amount.
What is the recommended daily amount of salt?
480 x 5 = 2400. 2400 milligrams of salt is the recommended daily amount.
Answer:
2400 milligrams because 480 is 20% of the recommended amount
Step-by-step explanation:
20*5 = 100% so 480* 5 = 100% or recommended amount
Hope this helps!
which number has the greatest value 4 1/2 4 1/6 or 4.85
Final answer:
Among 4 1/2, 4 1/6, and 4.85, the number 4.85 has the greatest value as it has the highest decimal portion when all numbers are expressed in decimal form.
Explanation:
To find which number has the greatest value among 4 1/2, 4 1/6, or 4.85, we need to compare them directly. The number 4 1/2 converts to 4.5 in decimal form, 4 1/6 converts to approximately 4.17, and 4.85 is already in decimal form. Comparing these three numbers, it's clear that 4.85 has the greatest value because it has the highest decimal portion.
2-(-8c)+24-7c simplified
Answer:
26+c
Step-by-step explanation:
The given expression 2-(-8c)+24-7c simplifies to 26 + c by removing the parenthesis, changing the sign of -8c to +8c, combining like terms, and adding the constants.
The equation 2-(-8c)+24-7c simplifies by applying the distributive property and combining like terms. We first remove the parentheses and change the sign of the term inside, which is -8c, to a positive. Then we combine the like terms, -8c and -7c. The equation simplifies to:
2 + 8c + 24 - 7c = 2 + 24 + (8c - 7c) = 26 + c
So, the given expression simplifies to 26 + c.
Solve 2p = 18
Help!!!!!!
Answer:
9
Step-by-step explanation:
2p= 18
p = 18 ÷ 2
p = 9 hope it helps u
Answer:
p=9
Step-by-step explanation:
pls help me i really need it
Look at the prism and its net.
What is the surface area of this rectangular prism?
a. 112 m²
b. 140 m²
c. 280 m²
d. 292 m²
Answer:
The answer would be C
Step-by-step explanation:
have a wonderful day, please mark brainlest and thank me.... I do flvs as well
Answer:
Step-by-step explanation: SA= Arec1*2+Arec2*2+Arec3*2
SA=l*w*2+l*w*2+l*w*2
SA=4*14*2+4*5*2+5*14*2
and you do the math
Which of the following numbers can be expressed as repeating decimals? 3/7, 2/5, 3/4, and 2/9.
Answer:
Step-by-step explanation:
2/9 when you divide it is 0.22222222222222
Answer:
First option: [tex]\frac{3}{7}[/tex]
Fourth option: [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Repeating decimals are also known as "Recurring decimals", are those decimal numbers whose digit or group of digits repeats indefinitely.
To know which of the given fractions can be expressed as Repeating decimals, you need to divide the numerator by the denominator in each option. Then:
First option: [tex]\frac{3}{7}=0.428571428571[/tex] (It can be expressed as repeating decimal)
Second option: [tex]\frac{2}{5}=0.4[/tex]
Third option: [tex]\frac{3}{4}=0.75[/tex]
Fourth option: [tex]\frac{2}{9}=0.2222222222[/tex] (It can be expressed as repeating decimal)