What is the solution to the equation-3(+5)+2 = 4(h+6)-9?h= -4h=-2h = 2h = 4What does h equal ?
Answers
You have the following equation:
-3(h + 5) + 2 = 4(h + 6) - 9
In order to find the solution of the previous equation you proceed as follow:
-3(h + 5) + 2 = 4(h + 6) - 9 apply distribution property both sides
-3(h) - 3(5) + 2 = 4(h) + 4(6) - 9
-3h - 15 + 2 = 4h + 24 - 9 simplify like terms both sides
-3h - 13 = 4h + 15 subtract 4h both sides
-3h - 4h - 13 = 15 add 13 both sides
-3h - 4h = 15 + 13 simplify like terms both sides
-7h = 28 divide by -7 both sides
h = 28/(-7)
h = -4
Hence, the solution to the given equation is h = -4
Related Questions
John has $200 in his bank account he made a purchase at the grocery store that was $1.50 more than he had in his bank account select the point on the number line that represents the balance of his bank account after buying groceries.
Answers
Answer: You are right
Step-by-step explanation:
Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x² - 4x = -2 has.
O two real solutions
Ono real or complex solutions
O two complex (nonreal) solutions
one real solution
Answers
The discriminant of the given quadratic equation is zero, which means that it has two real solutions.
What is a quadratic equation?
The polynomial equations of degree two in one variable of type
f(x) = ax² + bx + c = 0 and with a, b, c, ∈ R and a ≠ 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x).
The discriminant's value reveals how many roots f(x) has:
- The quadratic function has two unique real roots if b² - 4ac > 0, otherwise it does not.
The quadratic function has one repeating real root if b² - 4ac = 0.
- The quadratic function has no true roots if b² - 4ac < 0.
The given quadratic equation is:
2x² - 4x = -2
2x² - 4x + 2 = 0
The general equation is :
ax² + bx + c = o
where discriminant is found using the formula b² - 4ac
Comparing the equations, we can write
a = 2
b = -4
c = 2
b² - 4ac = (-4)² - 4*2*2 = 16 - 16 = 0
Since the discriminant is equal to zero, it suggests that the quadratic equation has two equal real and rational roots.
Therefore the discriminant of the given quadratic equation is zero, which means that it has two real solutions.
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whoever gets this correct first gets brainlest!!
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D. f(x)=4 (5/2)^x
Are really good tool for graphing problems is Demos.com
3 problems for 1 final answer. fairly easy 8th grade math.
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When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)
How do i determine the value of A/5 + √(B - C)?
First, we shall determine the value of A. Details below:
A = Product of roots in x² - 11x + 30Value of A =?Quadratic equation is expressed as:
x² - (sum of root)x + product of root
Comparing the above with x² - 11x + 30, we have
x² - 11x + 30 = x² - (sumof root)x + product of root
Product of roots = 30
Thus,
A = 30
Next, we shall determine the value of B. details below:
f(x) = x² + 5Value of B = f(2) =?f(x) = x² + 5
f(2) = 2² + 5
f(2) = 9
Thus,
B = 9
Next, we shall determine the value of C. Details below:
(x² - 2x - 24) / (x + 4)Value of C = Remainder =?Let
x + 4 = 0
Thus,
x = -4
Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:
Remainder = x² - 2x - 24
Remainder = (-4)² - 2(-4) - 24
Remainder = 0
Thus,
C = 0
Finally, we shall determine value of A/5 + √(B - C). Details below:
A = 30B = 9C = 0Value of A/5 + √(B - C) =?A/5 + √(B - C) = 30/5 + √(9 - 0)
A/5 + √(B - C) = 6 + √(9
A/5 + √(B - C) = 6 + 3
A/5 + √(B - C) = 9
Thus, the value of A/5 + √(B - C) is 9 (option B)
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Answer each part. If necessary round to the nearest hundredth
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If 85 pounds of seed are needed to plant a 10-acre field, then each pound can cover
\(\frac{10}{85}\text{acres per pound.}\)Computing the above division, we get:
\(0.12\text{ acres per pound.}\)Now, in the second problem, the rent for 3 hours is $10, therefore, the cost per hour is:
\(\frac{10}{3}\text{dollars per hour.}\)The decimal form of the above solution is:
\(3.33\text{ dollars per hour.}\)Answer:
a)
\(0.12\text{ acres.}\)b)
\(3.33\text{ dollars per hour.}\)3.33 dollars per hour
- 3X + 6Y = 0 and x+7y=9
Answers
Y = 1
-3(2) + 6(1) = 0
(2) + 7(1) = 9
A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if: only men(3 Points)
Answers
Answer:
There are six possible committees if only men are chosen
Step-by-step explanation:
Here, we want to find the number of possible committees if only men are chosen
In this case, what will happen is that we shall be selecting the 5 people from the available 6 men
Mathematically, we can have this in 6C5 ways
which is read as 6 combination 5 ways
And that will be 6 ways
So there are six possible committees if only men are selected
Two cars leave the same point at the same time travelling in opposite directions. one car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
Answers
It will take 3.5 hours for the two cars to be 280 miles apart.
To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.
Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:
Relative velocity = Velocity of car traveling east + Velocity of car traveling west
Relative velocity = 60 mph + 20 mph
Relative velocity = 80 mph
The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.
To find the time it takes for them to be 280 miles apart, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 280 miles / 80 mph
Time = 3.5 hours
Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.
During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.
The sum of these distances is indeed 280 miles, confirming the result.
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help fast please.........................
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The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)
What are angles on parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;
They can be;
supplementary
alternate exterior
alternate interior
vertically opposite
and corresponding
The property between angle 3 and angle 6 is that they are alternate interior to each other.
Therefore angle 3 and angle 6 are alternate interior angles.
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Students in a math class will be randomly assigned a polygon for
a class project. The only types of polygons being assigned are
quadrilaterals. pentagons, hexagons, octagons nonagons, and
decagons. If there is an equal type of polygons, what is the
probability that the first polygon assigned will be a nonagon?
Express your answer as a fraction
Answers
Answer:
There are 6 different shapes
You want the outcome to be a Nonagon
You put the outcome as a ratio 1/6
1/6=0.1666667
0.1666667*100=16.6667%
Chance of pulling out a nonagon
what is One fourth of the sum of a number and two in standard form
Answers
Answer:
It would be one fourth of the sum of a number and two is the same as 40--> (1/4)(x+2)=40
Step-by-step explanation:
x+2= 160
x=158
A student will be taking a quiz he is underprepared for and will guess every answer. The quiz consists of 10 true/false questions. Find the probability that he guesses:
Answers
Answer:
i say the answer is either 1/2 because true or false or 5/10 because you have a 50/50 chance but im more on the 1/2
Step-by-step explanation:
mark brainlest please
HELP WILL GIVE BRAINLYEST AND 60 POINTS EACH
Answers
Answer: It was a reflection. We can see it's not a translation because it's flipped. We can see it is not rotated because it isn't flipped upside down and it isn't a dilation because they are all the same size.
Reflection.
Question Which is closest to the surface area of the figure below? 1463.8 m squared 578.1 m squared 923.2 m squared 3692.6 m2
Answers
The closest option to the cone area is 923.2 m².
What is a cone?A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.
To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:
A = \(\pi\)r² + \(\pi\)rℓ
where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.
First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.
h² = ℓ² - r²
h² = 19.3² - 14²
h ≈ 11.48 feet
Now we can compute the surface.
A = \(\pi\)(14)² + \(\pi\)(14)(19.3)
A ≈ 923.2 square feet
So the closest option to the cone area is 923.2 m².
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If you are surveying people about whether they like to swim, where are you more likely to get a random sample?
A) at a local supermarket
B) at a local beach
C) at a swimsuit store
D) outside a local swimming pool
Answers
Answer:
B) a local beach.
At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.
Step-by-step explanation:
Hope it helps! =D
Can someone show an example of Inverses of Functions
Because I do not understand that subject
Answers
Answer:
I believe you mean algebra and inverses when you change it to solve inequalities.
Step-by-step explanation:
Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")
At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.
So, -3 + 4 is the same thing as 3 - -4.
3 - 4 = -1
-3 + 4 = 1
Tip: When subtracting a negative number, the answer is likely to go up instead of down.
I hope this helps! I did my best :)
Fill in the blanks to complete the rule
Answers
uh i could never, sorry
divide 405 in the ratio 4:11
Answers
Step-by-step explanation:
Answer is in the photo
Hope it helllps
Good luck
The division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio is 4:11. the number is 405 which has to be divided by the ratio.
Let the common ratio between the numbers is x. Form an equation and solve for x.
4x + 11x = 405
15x = 405
x = 405 / 15
x = 27
The numbers are,
4x = ( 4 x 27 ) = 108
11x = ( 11 x 27 ) = 297
Therefore, the division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
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8,382 ÷ 7 divides enter you're answering by filling in these boxes
Answers
Answer:
1197.43 (rounded)
Step-by-step explanation:
HELPPPPP SOMEONE HELP AND I WILL MARK BRAINLIST!!!
Answers
Answer:
Angle B and Angle D are both 101 degrees
Step-by-step explanation:
Consecutive Angles in a parallelogram are supplementary (add up to 180 degrees).
Given that fact, we can deduce the measure of angle B.
180-79=101.
Angle D has the same setup since Angle D and C are consecutive along with Angle C and B.
180-79=101.
Therefore, both Angle B and D are 101 degrees.
Is the function even, odd, or neither?
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Answer:
A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd
Step-by-step explanation:
Please help!!!!!!
Find each unit rate and express your answer as a decimal:
72 miles in 6 hours is
6
miles per hour.
427 miles in 8 hours is
miles per hour.
Answers
Answer:
53.4 mph rounded to 3 SF
Step-by-step explanation:
427/8
A standard deck of cards has 52 cards of four different suits (diamonds, spades, hearts, clubs). Each suit consists of numbered cards 1 (Ace) to 10, followed by Jack, Queen and King (face cards). Express all your answers as a percent rounded to the nearest tenth of a percent, if necessary.
(a) If one card is drawn randomly from a deck, what is the probability that it is a spade?
(b) If one card is drawn randomly from a deck, what is the probability that it is not a face card?
(c) If one card is drawn randomly from a deck, what is the probability that it is a 5 of hearts or 7 of hearts?
(d) A card is drawn and then put back into the deck and reshuffled. Then a next card is drawn. What is the probability that both cards are clubs?
Answers
Answer:
Step-by-step explanation:
Brianna, the first 3 questions are just one choice type of probability questions, just figure out how many of the thing they are grouping
spades is a suit, there are 13 cards of one suit.
A) = 13/52 = 1/4
three face cards per suit 3*4 = 12
B) 12/52 = 6/26 = 3/13
C) 2/52 = 1 / 26
D) the tricky one
you draw once for 1/4 but then you draw again for 1/4
so it's 1/4 * 1/4 = 1/16
Given the side lengths, determine whether
the triangle is acute, right, obtuse, or not a triangle
1. ( 15,16,21 )
A. not a triangle
B. Acute
C. Right
D. Obtuse
2. ( 20,23,41 )
A. Not a triangle
B. Acute
C. Right
D. Obtuse
3. ( 10,24,26 )
A. Not a triangle
B. Acute
C. Right
D. Obtuse
4. ( 6,13,20 )
A. Not a triangle
B. Acute
C. Right
D. Obtuse
Answers
Answer: For 1. ( 15,16,21 ), the answer is not a triangle, for 2. ( 20,23,41 ), this is an acute triangle, for 3. ( 10,24,26 ), this is an obtuse triangle, and for 4. (6, 13, 20), the answer is not a triangle, I hoped all of your answers is very helpful, Brainliest back please, and have a happy holidays! :D
Step-by-step explanation:
Nyoko is having a pizza party. 2 large pizzas serve 9 people. How many large pizzas should she order to serve 36 people at the party? *
Answers
Answer:
8 pizzas are needed to feed 36 people.
Step-by-step explanation:
If 2 large pizzas serve 9 people, if you divide the number your trying to find by your like term (people) (36/9) you will get 4. You then multiply your other value (2) by your answer to the last step (4) (2*4) you should get 8.
Please help Solve 3(x+3)=39
Answers
Answer:
x=10
Step-by-step explanation:
Answer:
Step-by-step explanation:
3(x+3)=39 first you distribute the the then you get 3x+9=39 then you subtract so then you have 3x=30 then divide 30 by 3 and you have 10! hoped it helped some. ( the answer is x=10)
13) The pet shop has 6,157 dog treats. They packed the treats into bags with 7 pieces in each bag. Any treats
that did not fit into a bag of 7 were given to the groomer to use to reward animals getting bathed. How many
bags of treats did they fill? How many treats were given to the groomer?
bags of treats and gave
left over treats to the groomer.
Answer: The pet shop filled___bags of treats and gave ____left over treats to the groomer.
Answers
The number of bags filled by the pet shop is 879 and the number of treats they gave to the groomer is 4.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the data given in the question,
Total number of dog treats in the shop = 6157
Number of treats per bag = 7
Extra treats will be given to the groomer.
Then, the number of bags will be,
6157/7 = 879.57
This means that a total of 879 bags are there, with 7 pieces of treats per bag.
So, the total number of treats in 879 bags will be,
879 × 7 = 6153
So, the amount of treats left for the groomer is,
6157 - 6153 = 4 treats.
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please help!! I'm really confused
Answers
Answer:
Point a is correct.
Step-by-step explanation:
hope I helped.
HELP AS SOON AS POSSIBLE
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The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
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5 2/5 divided by 3/2
Answers
Answer:
5 2/5 ÷ 3/2 = 3.6
I hope this is right