Answer:
- (b - 9)(b + 8)
Step-by-step explanation:
72 + b - b² ← factor out - 1 from each term and rearrange into standard form
= - (b² - b - 72) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)
The factors are - 9 and + 8
Use these factors to split the b- term
b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )
b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term
(b - 9)(b + 8)
Then
72 + b - b² = - (b - 9)(b + 8)
Which expression represents the expanded version of the expression below?
4x(3x+7)
Answer:
X is just a variable.
Step-by-step explanation:
In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?
Answer:
x would be equal to 70 grades
Step-by-step explanation:
The angle QRS is equal to 180 - 130 = 50 grades.
We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:
60 + x + 50 = 180
x = 70
Hope this was helpful
The expression below represents the perimeter of a square in centimeters.
4(6+2.5)
What is the square's perimeter?
Answer:
34
Step-by-step explanation:
4(8.5) = 34
Rotation 180 counterclockwise around the origin of the point (-3,-7)
Answer: (3 , 7)
Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.
Which graph represents a function?
Answer: B
Step-by-step explanation:
can someone please help me i need to show the working out too
Answer:
(1) x=15/2
(2) x=1
Step-by-step explanation:
(1) 4x−1 /2 =x+7
2x+ −1 /2 =x+7(Distribute)
2x+ −1 /2 =x+7
Step 2: Subtract x from both sides.
2x+ −1 /2 −x=x+7−x
x+ −1 /2 =7
Step 3: Add 1/2 to both sides.
x+ −1 /2 + 1 /2 =7+ 1 /2
x= 15 /2
(2) 3x+2=( 2x+13)/ 3
3x+2= 2 /3 x+ 13 /3 (Distribute)
3x+2= 2 /3 x+ 13 /3
Step 2: Subtract 2/3x from both sides.
3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x
7 /3 x+2= 13 /3
Step 3: Subtract 2 from both sides.
7 /3 x+2−2= 13 /3 −2
7 /3 x= 7 /3
Step 4: Multiply both sides by 3/7.
( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )
X=1
Write as an equation/inequality: "The product of four and a number is the sum of the number and twelve."
Answer: 4x = x+12
Step-by-step explanation:
solve the equations 3/4x = 21
Therefore, the answer is 28.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
PLSSSS HELPPPP ASAPPPP. REWARDING BRAINLIEST. PLS SHOW WORK
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Answer: B = 90°; C = 60°
Step-by-step explanation:
B is obviously 90° because of the right angle quadrant.
Since it is a right triangle and A is already 30°, just subtract 30 from 90.
90 - 30 = 60
Thus, C is 60°.
Correct me if I am incorrect.
Triangle NLM is reflected over the line segment as
shown, forming triangle ABC. Which congruency
statement is correct?
NLM - CAB
NLM -CBA
NLM - BCA
NLM - BAC
Triangle NLM is reflected over the line segment as shown, forming triangle ABC then the correct congruency statement is NLM ≅ CAB
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Triangle NLM is reflected over the line segment and form the triangle ABC.
Triangle NLM is reflected over the line segment to form triangle ABC. This means that the corresponding sides and angles of the two triangles are congruent.
The reflection over a line segment preserves the orientation of the triangle, so the order of the letters in the names of the triangles should remain the same.
Therefore, triangle NLM is reflected over the line segment as shown, forming triangle ABC then the correct congruency statement is NLM ≅ CAB
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ7
2x- 5 >18 +x
necesito ayuda pliss
necesito con resolución
Answer:
x > 23
Step-by-step explanation:
2x - 5 > 18 + x
x - 5 > 18
x > 23
brainliest pls
Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger
Answer:
4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6
Step-by-step explanation:
Please help me please please please
Answer:
Perpendicular bisector
Step-by-step explanation:
what is the area of a oblong with a base of 7cm and a height of 4 cm
Answer: 7*4 is 28 square centimeters...
Which statement is true about this equation? 3(-y 7) = 3(y 5) 6.
The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;
Statement A; The equation has one solution, y = 0
The given equation is;
3(-y + 7) = 3(y + 5) + 6
Expanding the brackets gives us;
-3y + 21 = 3y + 15 + 6
-3y + 21 = 3y + 21
Using subtraction property of equality, subtract 21 from both sides to give;
-3y = 3y
Using addition property of equality, add 3y to both sides to give;
-3y + 3y = 3y + 3y
6y = 0
Using division property of equality, divide both sides by 6 to get;
y = 0
Read more about factorization at; https://brainly.com/question/11000698
The missing statements are;
A. The equation has one solution, y = 0.
B. The equation has one solution, y = -1.
C. The equation has no solution.
D. The equation has infinitely many solutions.
The two team captains agree to eliminate the halftime interval but one of the players insists on a halftime interval. What decision should the referee make
What the judge should do is adhere strictly to the rules.
This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.
Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.
Learn more about referees in https://brainly.com/question/8186953
The referee will have to allow halftime interval as a result of one of the
players wanting it.
Every sport has rules which guides the game to ensure fair play and prevent
confusion from happening. Referee decisions are based on the rule of the
game but can also be negotiated.
In this scenario, if all the players wanted eliminate the halftime interval, it
could have been honored .But in this case, the referee has to follow the rules
of the game due to the other player disagreeing with the suggestion.
Read more about Sport rules https://brainly.com/question/1862654
plz help answer will mark brainiest
Answer:
4/3 litres of water is enough to water 2/5 of the plants
Assuming the number of plants in the house is an unknown variable, take the value as x.
Thus, 4/3 litres is enough to water 2x plants in the house.
x = 4/3 ÷ 2
= 2/3 litres
Amount of water for all the plants = 5x = 5 × 2/3
= 10/3 litres
Thus, 10/3 litres of water is necessary to water all the plants in the house.
Someone help me out on this math question?
Answer:
A. discrete
B. discrete
C. continuous
D. continuous
Step-by-step explanation:
When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.
__
When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.
A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x + 1,000 represents this situation.
What is f(3), and what does it represent?
900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
900 square feet; , f, (3) represents the total number of square feet the construction crew has paved after 3 hours.
1,900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
1,900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
Answer:
1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
The function of the construction crew is an illustration of a linear function
The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours
The function is given as:
To calculate f(3), we substitute 3 for x
Multiply 300 and 3
Add 900 and 1000
This means that the value of f(3) is 1900.
And it represents the total number of square feet paved after working for 3 hours
1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
i don't know but I think question 1 is 64
given the function f(x)=3x-5, for which value in the domain does f(x)=-38?
[tex]f(x) = -38\\\\\implies 3x -5 = -38\\\\\implies 3x = -38 +5 \\\\\implies 3x = -33\\\\\implies x = -\dfrac{33}{3}\\\\\implies x = -11[/tex]
what is the ration of 8 lions and 4 tigers
Answer:
the ration is 2:1 when simplified
what are 4 quarts in one gallon but in a
fraction form
Answer:
4 Quarts = 1 Gallon
Step-by-step explanation:
1 is an integer and not a fraction. However, it can be expressed as a fraction in rational form as 1/1. So a possible answer is 1/1 gallon. I don't know for sure though its my best guess.
A charity organization is having a fundraiser. The variable P models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets. P = 70n - 1500 How much money does the charity raise by selling a single ticket?
Step-by-step explanation:
the answer is the factor of n : 70.
with every sold ticket the charity raises $70.
add on :
to break even (to have at least 0 or more dollars as profit) they need to sell at least
70n - 1500 = 0
70n = 1500
7n = 150
n = 150/7 = 21.42857143...
that means, since they can't sell parts of tickets, they need to sell at least 22 tickets.
Find the new amount given the original amount and the percent of change.
$7; 10% increase
The new amount is
Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7
Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?
Help please?
Answer:
21.25 feet
Step-by-step explanation:
16.5 feet
+14.75
=21.25 feets
What is th eslope of the graph if it has these coords?
(1,2) and (3,-1)
please help with this
Answer:
v = 32
Step-by step explanation:
Step-1: Subtract 15 both sides
⇒ v/4 + 15 = 23
⇒ v/4 + 15 - 15 = 23 - 15
⇒ v/4 = 8
Step-2: Use cross multiplication
⇒ v/4 = 8
⇒ v = 8 × 4 = 32
Urgent!
18. A tennis ball is launched straight upward with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:
4.9t2 + 24.5t + 117.6 = 0
-4.9t2 - 24.5t + 117.6 = 0
-4.9t2 + 24.5t - 117.6 = 0
4.9t2 + 24.5t - 117.6 = 0
-4.9t2 + 24.5t + 117.6 = 0
19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)
t = 8 seconds
t = 4 seconds
t = 3 seconds
t = -3 seconds
The ball will never reach the ground.
20. Using the same equation, determine when the ball is at a height of 49 meters.
Step-by-step explanation:
18.
the last one.
-4.9t² + 24.5t + 117.6 = 0
the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.
19.
the general solution for a quadratic equation
y = ax² + bx + c
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = t
a = -4.9
b = 24.5
c = 117.6
t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =
= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =
= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8
t1 = (-24.5 + 53.9)/-9.8 = -3
t2 = (-24.5 - 53.9)/-9.8 = 8
a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.
20.
now the equation is
-4.9t² + 24.5t + 117.6 = 49
but this is quickly transformed again into a "= 0" equation :
-4.9t² + 24.5t + 68.6 = 0
t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =
= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =
= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8
t1 = (-24.5 + 44.1)/-9.8 = -2
t2 = (-24.5 - 44.1)/-9.8 = 7
again, negative time does not make sense.
the ball will be at 49 m height after 7 seconds.
Find all x-intercepts of the function. Express your answer as a list of x-values.f(x)=4x^4-64
Answer:
[tex]x=\pm2[/tex]
Step-by-step explanation:
[tex]f(x)=4x^4-64[/tex]
[tex]0=4x^4-64[/tex]
[tex]0=x^4-16[/tex]
[tex]16=x^4[/tex]
[tex]\pm2=x[/tex]