Answer:
7 and 3
Step-by-step explanation:
7+3=10. And 7-3=4
Select all equations that are equivalent to (5x+6)2=3−(4x+12) .
a. 5x+6=3−(4x+12)
b. (5x+6)2=−4x−9
c. 52x+3=3−(4x+12)
d. (5x+6)2=−4x+15
e. 5x+6=−8x−18
Answer:
B
Step-by-step explanation:
ita only b .............
The equations that are equivalent to (5x + 6)2 = 3-(4x +12) is (5x+6)2=−4x−9.
Option B is correct.
The very first thing to do is to solve the expression in the given question.
SO,
(5x + 6)2 = 3-(4x +12)
Open brackets
10x + 12 = 3 - 4x - 1210x + 12 = -4x - 9Collect like terms
10x + 4x = -9 - 1214x = -21x = -21/14
Now, we will solve each of the given options to determine which one corresponds to the solution to the expression above.
Starting with Option (a)
5x + 6 = 3 - (4x + 12)
Open brackets
5x + 6 = 3 - 4x - 125x + 6 = -4x - 95x + 4x = -9 - 69x = -15x = -15/9Option (a) is incorrect
b.
(5x + 6 )2 = -4x - 9
Open brackets
10x + 12 = -4x -9Collect like terms10x + 4x = -12 -914x = -21x = -21/14Option (b) is correct
(c.)
52x + 3 = 3 - (4x + 12)
Open brackets
52x + 3 = 3 - 4x - 1252x + 3 = -4x - 952x + 4x = -9 - 356x = - 12x = -12/56x = -3/14Option (c) is incorrect
(d)
(5x + 6)2 = -4x + 15
Open brackets
10x + 12 = -4x + 1510x + 4x = -12 + 1514x = 3x = 3/14Option (d) is incorrect
(e)
5x + 6 = -8x - 18
Collect like terms
5x + 8x = -18 - 613x = - 24x = -24/13Option (e) is incorrect
Therefore, we can conclude that the correct equation equivalent to the given expression in the question can be seen in Option b.
Learn more about algebraic expression here:
https://brainly.com/question/11227332?referrer=searchResults
If 2y+2w=x, then w, in terms of x and y, is equal to
Answer:
w=-y+1/2x
Step-by-step explanation:
Its literal equations, so just solve like any other variable equation. Set your w value to the equal, and isolate the said variable
2(x - 6) + 6 = 4x - 2
What’s the value of X?
Answer:
x = -2
Step-by-step explanation:
Step 1: Write equation
2(x - 6) + 6 = 4x - 2
Step 2: Solve for x
Distribute 2: 2x - 12 + 6 = 4x - 2Combine like terms: 2x - 6 = 4x - 2Subtract 2x on both sides: -6 = 2x - 2Add 2 to both sides: -4 = 2xDivide both sides by 2: -2 = xRewrite: x = -2Step 3: Check
Plug in x to verify it's a solution.
2(-2 - 6) + 6 = 4(-2) - 2
2(-8) + 6 = -8 - 2
-16 + 6 = -10
-10 = -10
Answer:
distribute the 2. add -12+6. add 2 to both sides. decide both sides by 2. x= -2
Pour tout réel x, on pose : f(x) = -2x²+4x+6. Vérifier que (-1) est une racine de ce polynôme f. On sait que l'axe de symétrie de la parabole qui représente f est la droite d'équation : x=1. Déduire de cette information l'autre racine du polynôme f. Factoriser le polynôme f. Aidez-moi svp meci d'avance
Explication étape par étape:
Étant donné la fonction polynomiale f (x) = -2x² + 4x + 6. Pour vérifier si f (-1) est un facteur de l'expression, nous devons montrer que f (-1) est équivalent à zéro. S'il est nul, donc x + 1 est un facteur du polynôme.
Preuve
f (x) = -2x² + 4x + 6
f (-1) = -2 (-1) ² + 4 (-1) +6
f (-1) = -2 (1) -4 + 6
f (-1) = -2-4 + 6
f (-1) = -6 + 6
f (-1) = 0
Puisque f (-1) = 0, donc x + 1 est un facteur du polynôme.
Ensuite, il faut obtenir l'autre racine du polynôme. Pour obtenir cela, nous devons factoriser la fonction polynomiale donnée.
Soit f (x) = 0
-2x² + 4x + 6 = 0
multiplier par -1
2x²-4x-6 = 0
diviser par 2
x²-2x-3 = 0
x²-3x + x-3 = 0
x (x-3) +1 (x-3) = 0
(x + 1) (x-3) = 0
x + 1 = 0 et x-3 = 0
x = 1 et x = 3
Par conséquent, l'autre racine du polynôme en dehors de 1 est x = 3
What is the volume of a cone with a hieght of 27 cm and a radius of 13 cm ? Round your answer to the nearest tenth.
Answer:
4778.36
Step-by-step explanation:
Solve the equation
x + 3x – 7 = 0
Give your answers to 2 decimal places.
Answer:
x = 1.75
Step-by-step explanation:
7 / 4 = 1.75
x + 3x = 4x
is this true the square root of a positive number is always less than the half of the number itself
Step-by-step explanation:
yes ........................................ ..
A father is 30 years elder than his son. after 8 years he will be 4 times as old as his son. find their present ages
Father is 30 years older than the son.
After 8 years , he will be 4 times as old as his son.
Find:their present ages
Solution:Let the son's age be x and age of father be y years
⟹ Father's age = Son's age + 30
⟹ y = x + 30 -- equation (1)
Also,
Son's age after 8 years = (x + 8) years.
Father's age after 8 years = (y + 8) years.
According to the above condition,
⟹ y + 8 = 4(x + 8)
⟹ y + 8 = 4x + 32
Substitute the value of y from equation (1).
⟹ x + 30 + 8 - 32 = 4x
⟹ 6 = 4x - x
⟹ 6 = 3x
⟹ 6/3 = x
⟹ 2 = x
Substitute the value x in equation (1).
⟹ y = 2 + 30
⟹ y = 32
Therefore,
Son's present age = x = 2 years.
Father's present age = y = 30 years.
I hope it will help you.
Regards.
Answer:
→ 11(2 + y) + 11y
→ 22 + 11y + 11y = 154
→ 22y + 22 = 154
→ 22y = 154 - 22
→ 22y = 132
→ y = 132/22
→ y = 6
Step-by-step explanation:
please help this is timed
Answer:
66 degrees
Step-by-step explanation:
I dont remember the name of this law but ik its right
The first four terms of a sequence are show below. 3, 9, 27, 81.. Which function models this sequence?
A) 3^n,
B) 3^n-1
C)3n
D)9(-3)^n-1
Please help
With the equation 3z + 3 = 22 + 6, the value of z is
3x2 + 8x - 10
Please someone help ...
What is cos(3π)?
1
0
-1
-2
Answer:
cos(3π) is 0.986 which rounds to 1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
edge 2020
find the square root of the following number by the long division method for 9801
Answer:
99.
Step-by-step explanation:
99.0
___________
|9801.000000
9 |81
189 | 1701
| 1701
,,,,,
$98.45 − $10.63 + $2.82 − $20.26
Answer:
70.38
Step-by-step exp7lanation:
$98.45 − $10.63 + $2.82 − $20.26 = 70.38
Answer:70.38
Step-by-step explanation:
I REALLY NEED HELPPPPP!! Write a paragraph proof for the following conjecture:
Given: m∠ 1 + m∠ 2 = m∠ 4
Prove: m∠3 + m∠1 + m∠2 = 180
Answer:
Given: measure 1 + measure 2 = measure 4
measure 4 + measure 3 must be 180 degrees because they are supplementary
If measure 4 + measure 3 is 180, and measure 1 + measure 2 = measure 4, we can substitute measure 4 in the first equation for measure 1 + measure 2.
Therefore, we arrive at the answer measure 1 + measure 2 + measure 3 = 180.
I really hoped this helped, and if it did, please consider giving me brainliest.
what do the differences between the points represent
Answer:
The point represent the difference between the two sides that what are different between them.
What’s the answer?????
Answer:i know you it
Step-by-step explanation:
you know it
If a point (x,y) is rotated 90 degrees counterclockwise around the origin, what will the resulting coordinate be?
Answer:
Step-by-step explanation:
90 degrees clockwise will result in a (+,+) answer.
90 degrees counterclockwise will result in a (-,+) answer.
Think of your quadrants.
Quadrant 1 the answer will be (+,+)
Quadrant 2 the answer will be (-,+)
Quadrant 3 the answer will be (-,-)
Quadrant 4 the answer will be (+,-)
It all depends where you are starting, so if you have to go counter clockwise from the third quadrant, your answer will be a coordinate that is (+,-).
I wish you would have shared more information, but I hope this helps.
Answer:
(a) AB
Step-by-step explanation:
Solve: - 4x +3<-9
idk tbh
Answer:
[tex]x > 3[/tex]
Step-by-step explanation:
Luckily for our brains, inequalities work very similar to equations when solving. Let's get on it.
First, we need to subtract 3 from both sides to isolate the -4x (this means we can then divide to get x by itself).
Which leaves us with [tex]-4x<-12[/tex].
Now we need to divide both sides by -4. Here's the thing - with inequalities, when we divide both sides by a negative, the sign flips! So after doing this simplification, our inequality looks like this: [tex]x > 3[/tex]
And there's your answer. :)
Answer:
x>3
Step-by-step explanation:
f(x)+-3x+5 for f(-2)
Answer:
f(-2)=11
Step-by-step explanation:
f(-2)=-3(-2)+5
=6+5
=11
Help me ASAP WILL GIVE BRAINLIEST AND 5 STAR RATE (not a real test)
Answer:
y = -2
Step-by-step explanation:
y-intercept is the point of y at which x is zero
so it is (0,-2) when y= -2
Hope it helps!
Please help with this problem
Answer:
ok its 45
Step-by-step explanation:
No problem
Answer:
the 48 oz becuase it more then the others and its cheaper
Step-by-step explanation:
please help urgent easy 8th grade math
Answer:
No Solution
Step-by-step explanation:
8x-3(1+6x) -2>5(1+2x)
-10x-5>-5-10x
(Add 5 to both sides)
-10>-10x
(Add 10x to both sides)
-10x+10x>-10x+10x
Therefore , this equation has no solutions.
Answer:
-1=x
Step-by-step explanation
8x-3(1+6x)-2> 5(1+2x)
8x-3(7x)-2>5(3x)
8x-21x-2>15x
13x-2>15x
-13 -13
-2 2x
2 2
-1 x
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
a. (−2, −8)
b. (−8, −2)
c. (6, −10)
d. (−10, 6)
Answer:
B: (-8,-2)
you add the equation to solve the first variable, then plug in the values to the other equation to find the last variable
good Luck!!!
Find the next two numbers in the pattern.
−12,60,−300,1500
the pattern is
multiplied by -5
so...
1500 *-5 = -7500
-7500*-5 = 37500
hope this helps
Answer:
-7500,37500 are next two numbers in the pattern
HELP PLEASE!!! I dont get this and its due in 5 minutes
If y varies directly with x and y=−54 when x=−20, then which equation best represents this proportional relationship?
1. ) y = 0.37x
2.) y = 2.7x
3.) y = -0.37x
4.) y = -2.7x
Find the smallest value of p
such that 36p is a perfect cube.
Answer:1
Step-by-step explanation: 36(1)=36 and the square root of 36 is 6
6x6=36
Answer:
1
Step-by-step explanation:
10. Find the coefficient of x term in the expansion of (2x - 5)(x2 – 3x2 + 4).
Answer:coefficient of x term is 8
Step-by-step explanation:I(2x-5)(x2-3x2+4)
(2x-5)(-2x2+4)
-4x3+8x+10x2-20
coefficient of x is 8
Graph the following system of equations. Click on the graph until the correct one appears.
y > x
y ≤ -x + 2
(look at attached pictures)
Answer:
pic 2
Step-by-step explanation: