Answer:
Step-by-step explanation:
18/12 = 24/(x-2) Put the similar sides in the propertions.
A football team scored 22 points in game 1 and 30 points in game 2. A basketball team scored 100 points in the first game and 108 points in the second game. Which team had the largest percent increase between game 1 and game 2.
Write the equation of the line (in slope-intercept form) that has an x-intercept at -6 and a y-intercept at 2. Provide a rough sketch of the line indicating the given points. [1 mark]. Exercise 2. For the polynomial f(x) = −3x² + 6x, determine the following: (A) State the degree and leading coefficient and use it to determine the graph's end behavior. [2 marks]. (B) State the zeros. [2 marks]. (C) State the x- and y-intercepts as points [3 marks]. (C) Determine algebraically whether the polynomial is even, odd, or neither.
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.
In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.
For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.
To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.
The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).
To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.
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The sum of 3 times a number and 16 is more than 25. Write an inequality and solve it.
Answer:
3x+16 >= 25 (Greater than or equal to) Solved: x>= 3
Step-by-step explanation:
I dont know how to put the line under the > sign so >= means greather than or equal to
3/4 + x = 2x — x + ?
Answer:
3/4
Step-by-step explanation:
please mark me as brainlest
2
When the denominator of
is rationalized, it becomes
V3
21
3
Answer:
\( \sqrt{3} \)
Step-by-step explanation:
\( \frac{2}{ \sqrt{3} } \)
\( \frac{2}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{2 \sqrt{3} }{3} \)
please answer.........................
The proof of <BED = <BAC is shown below.
What is Similarity?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
AE ⊥ BC
and, CD ⊥ AB
As, AE is perpendicular to BC then BE = EC = 1/2 BC
and, BD = AD = 1/2 AB
Now, In ΔBED and ΔBCA
<EBD = <ABC {common}
BD/AB = BE/ BC = 1/2
By ASA similarity Criteria ΔBED ~ ΔBCA
So, <BED = <BAC
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please help me with this problem
Here were 9/12 gallons of latex paint in storage. William used 2/7 of the paint for the fence. How much paint were left
After William used 2/7 gallons of latex paint for the fence, there would be approximately 4/21 gallons of paint left in storage.
To find out how much paint is left, we need to subtract the amount of paint used by William from the initial amount in storage.
Given that there were 9/12 gallons of latex paint initially in storage, and William used 2/7 gallons for the fence, we can subtract these two quantities.
To subtract fractions, we need a common denominator. In this case, the common denominator of 12 and 7 is 84.
Converting the fractions to have a denominator of 84, we have (9/12) = (63/84) gallons initially in storage and (2/7) = (24/84) gallons used by William.
Subtracting the amount used from the initial amount, we get (63/84) - (24/84) = (39/84) gallons of paint left.
Simplifying the fraction, we find that (39/84) can be reduced to (13/28).
Therefore, after William used 2/7 gallons of latex paint for the fence, approximately 13/28 gallons of paint would be left in storage.
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Which of the following is the logical conclusion to the conditional statements below?
the expression or condition implies that, if the value is "a", then it corresponds with "b".
\(b\rightarrow c\)For the second condition, if "b", then it corresponds with "c".
Therefore, we can say that, "a" also corresponds with "c"
\(a\rightarrow c\)The answer is Choice C.
You can also interpret it as equality :
like, a=b, b=c, then a=c
Simplify the expression:
9(–4 + 4b)
Answer:
-36+36b
hope this helps
Answer:
-36+36b
Step-by-step explanation:
9×-4=-36 and 9×4b is 36b
Show Your Work
The steps a student took to solve an equation are shown below.
2(x+4)= 6(x-2)
Step 1:
Step 2:
Step 3:
Step 4:
-2x-8=6x-12
-8=4x-12
4 = 4x
x = 1
What error did the student make and what is the correct value
of x?
Answer:
x=5
Step-by-step explanation:
step 1 : exapnding 2(x+4) will give you 2x +8 , the student made an error in expanding
so it should then be 2x+8 = 6x-12
and then if you move the letters to one side and the numbers to the other you will get :
-4x = -20
x=5
hope this works :)
x=5
Step-by-step explanation:
the student added a minus in 2x and 8 when it's suppose to be an addition that is the error
2(x+4)=6(x-2)
2x+8=6x-12
2x-6x=-8-12
-4x=-20
x= -20/-4= 5
x=5
7x^2 + 6x - 4 = 5x^2
Write the quadratic equation in standard form.
What is the value of x
Answer:
16
Step-by-step explanation:
(3x +3) + (5x-2) + (3x+3) =180
3x +3 + 5x-2 + 3x+3 =180
11x +4=180
11x =180-4
11x=176
x=176/11
x= 16
Do not be conformed to this world
but be transformed by the renewal of
your mind that by testing you may
discem what is the will of God, what is
pod and acceptable and perfect
Answer:
ok
Step-by-step explanation:
What is 30 percent written as a fraction in lowest terms
A square has an area of 49 cm². Find the length of its sides.
Answer:
A÷4
A÷49
12 cm ans
Step-by-step explanation:
method of taking out side is a simple method so follow this method :
A÷4
Which is the BEST definition for clockwise rotation on the coordinate plane?
rotation to the left in the coordinate plane
rotation to the right in the coordinate plane
notation that shows the degree and direction of rotation in the coordinate plane
the circular movement of an object in the coordinate plane
Answer:
rotation to the right in the coordinate plane
The BEST definition for clockwise rotation on the coordinate plane is "rotation to the right in the coordinate plane." option B is correct.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
"Rotation to the right in the coordinate plane" is the BEST definition for clockwise rotation on the coordinate plane. In the coordinate plane, a rotation that turns a point or object to the right of the origin is referred to as being clockwise.
It follows that if a straight line were to stretch from the origin to the point or item, it would spin as it traveled in a clockwise direction. In comparison, a rotation in the other direction would cause the line to spin to the left.
Although notation can be used to depict the magnitude and direction of rotation in the coordinate plane, this does not always mean that the rotation is clockwise.
Therefore, Rotation to the right in the coordinate plane is the BEST definition for clockwise rotation on the coordinate plane.
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the length l (in centimeters) of a scalloped hammerhead shark can be modeled by the function l = 266-219e -0.05t where t is the age (in years) of
the shark. how old is a shark that is 175 centimeters long? round your answer to the nearest tenth
With the help of equations we can say that the shark is 18 years old.
What are equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value
To determine the value A statement is not an equation if it has no "equal to" sign.
A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.
Hence, the shark is 18 years old.
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Find the unit rate.
$6.80 for 9 muffins
Answer: approx. 75 cents / muffin
Step-by-step explanation: divide 6.8 by 9
Answer:
$0.75
Step-by-step explanation:
6.8 divide by 9=0.755555556 and so its 0.75 cents per muffin
Solve the quadratic F(x)=x^2+10x-1
Please explain.
The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26
To solve the quadratic equation f(x) = x² + 10x - 1
we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, a = 1, b = 10, and c = -1.
Substituting these values into the quadratic formula:
x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))
= (-10 ± √(100 + 4)) / 2
= (-10 ± √104) / 2
Simplifying further:
x = (-10 ± 2√26) / 2
= -5 ± √26
Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:
x = -5 + √26 and x = -5 - √26
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Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate
Answer: £784.08
Step-by-step explanation:
First find 1% of 800, which is 800/100=£8
800-8= £792 after 1 year
find 1% of 792, which is 792/100=£7.92
792-7.92= £784.08
Help-
my tiny brain can’t figure this out
Answer:
3 1/2 is the closest
Step-by-step explanation:
Theres 3 that are full and 2/5
Answer:
its 3 1/2 or c
Step-by-step explanation:
Multiply and write the answer in
proper scientific notation: (1.9 x
10.) x (5.8 x 10)
A) 11.02 x 1011
B) 1.102 x 1012
C) 1.102 x 1010
D) 1.102 x 10-11
E) NOTA
Answer:
e. not answer
Step-by-step explanation:
(1.9 x 10) x (5.8 x 10)
19 x 58
1102 = 1.102 x 10^3
Each electron in an atom has a charge of -1 , and each proton has a charge of +1 . What is the overral charge of an atom that cointains 2 eletrons and 2 protons
Answer:
0
Step-by-step explanation:
It would be the same as adding 2 to 0 then taking the same 2 away.
not every linearly independent set in set of real numbers r superscript ℝn is an orthogonal set. T/F?
The given statement is true.
Consider linearly independent vectors of \(R_{n}\)
Where n = 2
\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)
\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)
Now product of these vectors
UV = 4x5 + 2x6
= 32
Hence these vectors are not orthogonal.
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GIVING BRAINLIEST (DIRECTIONS) Decide which measurement is larger by converting to the same measurement. (QUESTION) Which measurement is larger 10,000 lbs or 4 tons
A truck that is 10 ft. by 12 ft. by 14 ft. carries cube shaped boxes that
have a length of 2.5 ft. How many of these boxes can this truck hold?
Round your answer to the nearest whole number.
*10
Answer:
108
Step-by-step explanation:
The volume of the truck is 10*12*14=1680
So, answer = the volume of the truck / the volume of a cube
answer= 1680/15.625=107.52 = 108.
In a survey of 2,200 people who owned a certain type of car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
*blank*% of the people surveyed were satisfied with the car.
Answer:
40%
Step-by-step explanation:
Given parameters:
Number of people surveyed = 2200
Number of people who said they would buy the car again = 880
Unknown:
The percentage of people satisfied with the car = ?
Solution:
The percentage of people satisfied with the car purchase can be determined using the expression below:
Percentage of people satisfied = \(\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100\)
Percentage of people satisfied = \(\frac{880}{2200}\) x 100 = 40%
Caleb read a total of 30 pager over 2 hours. After a total of 3 hours of reading this week, how many pages will Caleb have read in all? Solve using unit rates
Answer:
45 pages
Step-by-step explanation:
Caleb read a total of 30 pager over 2 hours.
To find the unit rates
2 hours of reading = 30 pages
1 hour of reading = x
Cross Multiply
2× x = 30 × 1
2x = 30
x = 30/1
x = 15 Pages.
Hence, he read 15 pages per hour
After a total of 3 hours of reading this week, how many pages will Caleb have read in all?
If;
1 hour = 15 pages
3 hours = x pages
Cross Multiply
x = 3 × 15 pages
x = 45 pages
Hence, Caleb would have read 45 pages in all
50 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!
Answer:
8. 9.1
9. 12.2
Step-by-step explanation:
8. let x represent the missing side:
Using pythagoras theorem;
13.3² = x² + 9.7²
x² = 13.3² - 9.7²
x² = 82.8 taking the square root of both sides;
x = 9.1
9. let y represent the missing side:
Using pythagoras theorem;
y² = 10² + 7²
y² = 149 taking the square root of both sides;
y = 12.2