Step-by-step explanation:
[tex] {a}^{2} + 7a + 12 = a + 4 \\ {a}^{2} + 7a - a - 4 + 12 = 0 \\ {a}^{2} + 6a + 8 = 0 \\ {a}^{2} + 4a + 2a + 8 = 0 \\ a(a + 4) + 2(a + 4) = 0 \\ (a + 4)(a + 2) = 0 \\ a + 4 = 0 \: or \: a + 2 = 0 \\ a = - 4 \: or \: a = - 2[/tex]
Answer:
a = -4 or a = -2
Step-by-step explanation:
a² + 7a + 12 = a + 4
=> a² + 7a - a + 12 - 4 = 0
=> a² + 6a + 8 = 0
=> a² + 2a + 4a + 8 = 0
=> a(a + 2) + 4(a + 2) = 0
=> (a + 4)(a + 2) = 0
=> a = -4 or a = -2
Tell whether the ordered pairs are a solution of the equation.
y = 6x (8, 48)
5 - x = y (2, 3)
Answer:
Both are true
Step-by-step explanation:
y = 6x and (8, 48)
48 = 6(8)
48 = 48
TRUE
5 - x = y and (2, 3)
5 - 2 = 3
3 = 3
TRUE
Best of Luck!
Find the area of a triangle with legs that are: 6 mm, 4 mm, and 8 mm.
A. 16.4 mm
B. 11.6 mm
C. 14.5 mm?
D. 5.8 mm?
SOMEONE HELP ME PLEASE AND SHOW WORK
Hi! I'm happy to help!
To solve for WX, we have to find the length of the part of the line that isn't XY. Since we know the full length of the line, we subtract the length of XY from WY to get WX:
100-89.6
10.4
The length of WX is 10.4 centimeters.
I hope this was helpful, keep learning :D
Answer: WX = 10.4 cm
Concept:
Here, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
XY = 89.6 cm
WY = 100 cm
Given expression deducted from the segment addition postulate
WX = WY - XY
Substitute values into the expression
WX = 100 - 89.6
Simplify by subtraction
WX = [tex]\boxed{10.4cm}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
express x²+4x-2 in the form of (x+a)²+b
Answer:
(x+2)^2-6
Step-by-step explanation:
(x+2)^2 = x^2 + 4x + 4
x^2 + 4x + 4 -6 = x²+4x-2
Answer:
(x + 2)² - 6
Step-by-step explanation:
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 4x
x² + 2(2)x + 4 - 4 - 2
= (x + 2)² - 6
help plz HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Blank space is -5
Step-by-step explanation:
f/2 + 9 = 4
-9 . -9
f/2 = 4 - 9 = -5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: f/2 = -5
Step-by-step explanation:
Given
f/2 + 9 = 4
Subtract 9 on both sides
f/2 + 9 - 9 = 4 - 9
f/2 = -5
Multiply 2 on both sides
f/2 × 2 = -5 × 2
f = -10
Hope this helps!! :)
Please let me know if you have any questions
If m varies directly with t, and m = 4 when t = 12, what is the value of t when m= 12?
o
O 20
O 24
O 36
Answer:
4
Step-by-step explanation:
k=4÷12=1÷3
t=12×1÷3=4
What is the width of a rectangle with an area of 300 square feet and a length of L feet?
An insurance company sells a homeowner's insurance policy that is $600 per year per policy. The insurance company predicts that the probability of having a home being damaged in the area it sells this policy is about 11,000. If the home is damaged, the insurance company expects to pay $400,000 to the homeowner. If the company were to sell 250 policies, how much money can it expect to gain or lose
Answer:
profit of $140,910
there is a missing number I will assume that the probability is 1 in 11,000
company expected revenue per policy = $600
companies expected expense = 400,000 * (1/11,000) = -36.36
profit per policy = $536.64
$536.64*250 = $140,910
Step-by-step explanation:
A movie ticket costs $12 and it costs an additional p dollars to buy a small popcorn. The total cost for 3 people to go to the Movie theater and each buy a popcorn is $57. How much does it cost for one person to buy a popcorn?
NEED THIS ASAP PLEASE
the price of a discount airline ticket starts at $150 and increases $30 each week.write and algebraic expression that molds this situation?
Answer: 30x + 150
Step-by-step explanation:
explain the answer with briefs steps
Step-by-step explanation:
steps are in picture above.
Note:if you need to ask any question please let me know.
ALGEBRA 1 MATH PLEASE HELP !!!!
Answer:
g(x) = |x-10|
Step-by-step explanation:
In majority of cases, the h in an equation is the movement to the left and right. and if you subtract h, you move to the right, if you add h, you move to the left. So in this case, to move ten units to the right, you would have h=10. Because there are no other changes made to the equation, the new equation, g(x), is simply:
g(x) = |x-10|
Olivia orders 24 cupcakes and a layer cake. The layer cake costs $16, and the total cost of the order is $52. What is the cost of each cupcake?
Answer:
The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
First let us create an equation for this problem
(24 cupcakes)( $ of each cupcake) + ( $16 layer cake ) = $52
Let's say that C will represent the $ of each cupcake to make it easier
Solving it....
24C + 16 = 52
24C = 36
Divide both sides by 24
C = 1.5
Therefore, each cupcake cost $1.5
We can check to see if this works....
24(1.5) + 16 = total cost
36 + 16 = 52, so this is correct
Hope that helped! Best of luck <3
There are 37 carpenters in a crew. On a certain day, 27 were present. What percent showed up for work?
Answer:
73%
Step-by-step explanation:
/ means divide
you divide the total by those who showed up
27/37 = .7297 = around .73 = 73%
Find the midpoint of the following points: (2,3) and (8.-4).
Step-by-step explanation:
Use formula of midpoint
( x1+x2)/2 , (y1+y2)/2
2+8 = 10/2 = 5 (x)
3+ -4 = -1/2 (y)
(5,-1/2) is the final answer
5(x+3)=2x+3 what is x?
Answer:
-4
Step-by-step explanation:
5(x+3)=2x+3
5x+15=2x+3
5x-2x=3-15
3x=-12
3x/3=-12/3
x=-4
2/3=1/2x+2y can someone help
Did all the rectangles with an area of 24 units have the same perimeter? Give a reason for your
answer.
Answer:
so.. it cannot be same
Step-by-step explanation:
. the perimeters may be same but the area cannot.
We've been looking at two rectangles with the same area, and talking about the perimeter of those shapes. We found out that rectangles that have the same area don't necessarily have the same perimeter. owo
x=4/9u + 7
solve for u.
Answer:
Step-by-step explanation:There are two variables which are x and u so it doesn't seem possible to solve.Kindly re-write the question
Determine the product of the binomial 6x−2 and the trinomial 3x2−5x−1.
Answer:
6(x-2)
Step-by-step explanation:
because x and 2 are taken as common by us
Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?
Answer:
希 · 斯杰德布德克克贾克什伊索伊菲夫杰杰德克斯克克沃斯克维约沃沃
Answer:
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
don't know
Differentiate
[tex] \frac{ {x}^{3} + 2x ^{2} }{x} [/tex]
with respect to their variable.
Answer:
2x + 2
Step-by-step explanation:
Given
[tex]\frac{x^3+2x^2}{x}[/tex] ( divide each term on the numerator by x )
= x² + 2x
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , then
[tex]\frac{d}{dx}[/tex] (x² + 2x ) = 2x + 2
-x2 – 3x + 3
Find f(7)
This makes no sense, math, i need help because this is BS and i don’t get it. there must be something i am missing.
Answer:
You are correct! But note the syntax:
the computer wants you to type in the box
2/3 x - 2
because "y =" is already written!
Step-by-step explanation:
Elijah drew a scale drawing of a swimming pool.
The scale of the drawing was
1 centimeter: 3 meters. The pool is 10
centimeters long in the drawing. How long is the
actual pool?
Answer:
30 meters
Step-by-step explanation:
when converting from scale to actual drawing:
find a way of removing the cm by
10cm × (3m/1cm)
look the cm cancels out
10×3m=30m
4y - 7 + 2y = -3 (y - 1 ) -1
Step-by-step explanation:
4y - 7 +2y = -3y + 3 - 1
4y -7 +2y' = -3y + 2
4y+2y+3y = 2+7
9 y = 9
y. = 1
Figure the amount of time worked in 4 weeks by 12 electrical wiring specialists who work 30 hours each week.
Answer:
1440
Step-by-step explanation:
Let's say x = number of hours worked per week for 12 people. Now one worker works 30 hours a week so if you multiply 12 workers by 30 you will get how many hours 12 workers worked. so x = 12 • 30. 12 • 30 is 360. so x = 360 or for 1 week 12 workers worked 360 hours. now we need to find the amount of hours for 4 weeks. so we can do 4x or 4 times the amount of hours per one week. since x = 360. 4 • 360 = 1440.
Find the complex conjugate of the given number.
-4 + 8i
Answer:
-4 - 8i
Step-by-step explanation:
The complex conjugate of -4 + 8i=-4 - 8i
Find the volume of this object.
Use 3 for a.
Volume of a Cone
V=Tr2h
3
Volume of a
Rectangular Prism
V = lwh
cm
5 cm
6 cm
1 cm
V[?]cm
3
12 cm
Answer:
11
Step-by-step explanation:
sjow
FIRST PERSON WILL BE MARKED BRAINLIEST!!!
Answer:
Correct choice is option A. 6a + 8b ≤ 200
7a + 5b ≤ 150
---> cereal A with grams will be multiplied by the sodium available in one gram of cereal A
----> The solution from the above equation would then be added to the cereal B with grams as well as its sodium content per grams.
6a + 8b ≤ 200
---> Cereal A's grams × Cereal A's calories + Cereal B's grams × Cereal B's calories is ≤ 150
so, 7a + 5b ≤ 150