Answer:
x=-2,-4 is your answer
x²+6x+8=0
doing middle term factorization
x²+4x+2x+8=0
x(x+4)+2(x+4)=0
(x+4)(x+2)=0
either
x=-4
or
x=-2
Step-by-step explanation:
❁ [tex] \underline{ \underline{ \large{\tt{T \: O \: \: F \: A \: C \: T \: O \: R \: I\: Z \: E \: }}}} : [/tex]
[tex] \large{ \tt{ {x}^{2} + 6x + 8}}[/tex]❁ [tex] \underline{ \underline{ \large { \tt{S \: O \: L \: U \: T \: I \: O \: N}} }} : [/tex]
Firstly find two numbers which when multiplied results to 8 and when added,it results to 6. The two numbers must be 4 and 2.
⟶ [tex] \large{ \tt{ {x}^{2} + (4 + 2)x + 8}}[/tex]
⟶ [tex] \large{ \tt{ \underbrace{{x}^{2} + 4x} + \underbrace{2x + 8}}}[/tex]
Now, Take common from first two terms :
⟶ [tex] \large {\tt{x(x + 4) + 2x + 8}}[/tex]
Take common from last two terms :
⟶ [tex] \large{ \tt{x(x + 4) + 2(x + 4)}}[/tex]
⟶ [tex] \large{ \tt{(x + 4)(x + 2)}}[/tex]
⟿ [tex] \boxed{ \boxed{ \underline{ \text{Our \: Final \: Answer : \boxed{ \bold{ \text{(x + 4)(x + 2)}}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
✧ [tex] \underline{ \underline{ \mathfrak{Carry \: on \: learning}}} [/tex] !! ✎
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Luke is 5 years older than twice his younger brother Thomas. If Luke is 19, how old is Thomas?
Answer:
Thomas is 14 because 19-5=14
Step-by-step explanation:
brailiest please
Answer:
7
Step-by-step explanation:
19-5=14
14/2=7
Two Step Equation's and Inequalities -8=2-4y
With a slope of m = -2 and a point being (5,-2) what’s the Y-intercept?
Answer:
c = 8
Step-by-step explanation:
Given the following data;
Slope, m = -2
Points (x, y) = (5, -2)
To find the intercept, c;
Equation of a straight line is given by the formula: y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
-2 = -2(5) + c
-2 = -10 + c
c = 10 - 2
c = 8
Therefore, the y-intercept is 8.
pls help meeeee its easy but i cant think rn lol
Answer:
It is -3/4
Step-by-step explanation:
Coefficient : the number multiplied by d² in the equation
so it's ans is -3/4
What is the slope of line help please pleaseeee
Answer:
3/2
Step-by-step explanation:
Slope = rise / run
Rise: 3
Run: 2
Slope = 3/2
Answer:
Awnser: the slope is y=-3/1
The spray from a spinning lawn sprinkler creates a circle with a radius of 50 feet. What is the area of the circle covered by the lawn sprinkler, in square feet?
A. 625π square feet
B. 50π square feet
C. 2500π square feet
D. 100π square feet
Answer:
b
Step-by-step explanation:
Someone know this? 50 pts
Answer:
Know what? You need to add more to your question (:
Step-by-step explanation:
I really need some heeeeeeeeeeeeeeeeeeeeeeelp 50 points
based on the smallest dragonboy
are we suppose to make a story or something
Answer:
This question makes 0 sense! how do i even answer?
There are 50 pennies in a roll. If you have 130 rolls of pennies, how many pennies do you have?
Answer:
6,500 pennies or $65
Step-by-step explanation:
What ratio is an equal ratio of 1:3?
Answer:
Any ratio that can be simplified to 1:3
Step-by-step explanation:
Any ratio would work for this answer, but the ratio would have to simplify back to 1 to 3.
Here are some examples you could use:
2:6 = 1:3
3:9 = 1:3
4:12 = 1:3
6:18 = 1:3
7:21 = 1:3
10:30 = 1:3
please helppp Which ordered pairs lie on the line shown in the graph?
864
28
CLEAR
SUBMIT
(-2,- 6.5), (0, -0.5), (1, 2.5), (2, 5.5)
(-6.5, -2), (-0.5, 0), (2.5, 1), (5.5, 2)
(2,6,5), (0, 0.5), (-1, -2.5), (-2, -5.5)
(6.5, 2), (0.5, 0), (-2.5, -1), (-5.5, -2)
0
Answer:
I think a option is correct
Step-by-step explanation:
because they are point on the graph
what is the answer of4 ( 2x + 3) -2x
Answer:
x= 2
Step-by-step explanation:
Divide each term in
6
x
=
12
by
6
.
6
x
6
=
12
6
Cancel the common factor of
6
.
Tap for more steps...
x
=
12
6
Divide
12
by
6
.
x
=
2
Calculus: dy/dx= ?
(d^2y)/(dx^2)= ?
d^2y/dx^2= 0 at point (x,y)=?
ln(5y) = 4xy
Differentiate both sides with respect to x, taking y = y(x) :
d/dx [ln(5y)] = d/dx [4xy]
1/(5y) d/dx [5y] = 4y + 4x dy/dx
5/(5y) dy/dx = 4y + 4x dy/dx
1/y dy/dx = 4y + 4x dy/dx
(1/y - 4x) dy/dx = 4y
dy/dx = 4y / (1/y - 4x)
Since y = 0 is outside the domain (ln(0) is undefined), we can multiply the right side by y/y :
dy/dx = 4y ² / (1 - 4xy)
To compute the second derivative, differentiate both sides again:
d/dx [dy/dx] = d/dx [4y ² / (1 - 4xy)]
d²y/dx ² = ((1 - 4xy) d/dx [4y ²] - 4y ² d/dx [1 - 4xy]) / (1 - 4xy)²
d²y/dx ² = ((1 - 4xy) 8y dy/dx - 4y ² (0 - 4y - 4x dy/dx)) / (1 - 4xy)²
d²y/dx ² = ((8y - 32xy ²) dy/dx + 16y ³ + 16xy ² dy/dx) / (1 - 4xy)²
d²y/dx ² = ((8y - 16xy ²) dy/dx + 16y ³) / (1 - 4xy)²
Substitute the first derivative founder earlier:
d²y/dx ² = ((8y - 16xy ²) (4y ² / (1 - 4xy)) + 16y ³) / (1 - 4xy)²
d²y/dx ² = ((8y - 16xy ²) 4y ² + 16y ³ (1 - 4xy)) / (1 - 4xy)³
d²y/dx ² = (16y ³ (3 - 8xy)) / (1 - 4xy)³
The second derivative vanishes wherever the numerator vanishes (so long as 4xy ≠ 1) :
16y ³ (3 - 8xy) = 0
16y ³ = 0 or 3 - 8xy = 0
y = 0 or 8xy = 3
As pointed out earlier, y = 0 is outside this function's domain, so we're left with points on the curve
y = 3/(8x)
Substituting this into the original function gives
ln(5 (3/(8x))) = 4x (3/(8x))
ln(15 / (8x)) = 12/8
ln(15) - ln(8x) = 3/2
ln(8x) = ln(15) - 3/2
8x = exp(ln(15) - 3/2)
8x = 15 exp(-3/2)
x = 15/8 exp(-3/2) → y = 1/5 exp(3/2)
or approximately (0.4184, 0.8963).
(where exp(x) = e ˣ)
The figure above shows a square inscribed in a rectangle.
What is the area of the orange colored part of the figure? (Include only numbers, not words or labels, in your answer.)
Answer:
31 units ²
Step-by-step explanation:
Area of a rectangle = length × width
Length = 8 units
Width = 5 units
Area of a rectangle = length × width
= 8 units × 5 units
= 40 units ²
Area of of the blue square = length ²
Length = 3 units
Area of of the blue square = length ²
= (3 units) ²
= 9 units ²
Area of the orange colored part of the figure = Area of a rectangle - Area of of the blue square
= 40 units ² - 9 units ²
= 31 units ²
Area of the orange colored part of the figure = 31 units ²
Identify the graph and describe the solution set of this system
of inequalities.
y<-3x-2
y> -3x+ 8
Answer:
We have the system:
y < -3*x - 2
y > -3*x + 8
The solution set of this system will be the intersection between the solution sets of both inequalities.
First, to find each set of solutions, we need to find the line:
y = -3*x - 2
Because we have the symbol <, the solution set will be all the points below this line, and the line will be a dashed line (meaning that the points on the line are not solutions).
For the other line we have the same approach.
First we need to find the line:
y = -3*x + 8
Now because we used the symbol >, we need to shade the region above the line, and again the line must be a shaded line.
The graph of this system can be seen below.
Where we can see that there is no intersection of the two solution sets, meaning that the system of inequalities has no solutions.
The formula for the volume of a pyramid is V=1/3 Bh. What is h expressed in in terms of B and V?
V = 1/3 * B * h /*3
V * 3 = B * h /B
V * 3 / B = h
h = V * 3 / B
The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor
Answer:
10 feet
Step-by-step explanation:
Find the hypotenuse
a^2 + b^2 = c^2
6^2 + 8^2 =c^2
36+ 64 = c^2
100=c^2
(square root) 100 = 10
c=10
Of the students in the college, 60% of the students reside in the hostel and 40% of the students are day scholars. Previous year result reports that 30% of all students who stay in the hostel scored A Grade and 20% of day scholars scored A grade. At the end of the year, one student is chosen at random and found that he/she has an A grade. What is the probability that the student is a hostlier?
Answer:
the probability that the student is a hostlier is 0.6923
Step-by-step explanation:
The computation of the probability that the student is a hostlier is shown below
= (0.60 × 0.30) ÷ (0.60 × 0.30) + (0.40 × 0.20)
= (0.18) ÷ (0.18 + 0.8)
= (0.18) ÷ (0.26)
= 0.6923
Hence the probability that the student is a hostlier is 0.6923
Answer:
Step-by-step explanation:
If you are starting with what you know about a large population and coming to a conclusion about a specific scenario, then which type of reasoning are you using?
Answer:
In this lesson we learned that inductive reasoning takes information known about a specific scenario and applies it to a large population, while deductive reasoning takes information known about a population and applies it to a specific scenario.
Deductive reasoning
To answer this question, we must understand the clear distinction that exists between inductive and deductive reasoning.
Inductive reasoning is the process of reasoning that involves making specific observations and drawing a general conclusion from those observations
That is, the observations are narrower than the conclusion.
Deductive reasoning is the process of reasoning that applies the observations made from a general population to a specific case. That is, making specific conclusions from general observations
Therefore, the illustration given in this exercise is an example of a deductive reasoning.
Learn more here: https://brainly.com/question/4163182
Dos campanas suenan a intervalos de 18 y 30 minutos respectivamente. ¿A qué hora
sonarán juntas otra vez si empiezan simultaneamente a las doce del medio día?
Distance and midpoint formulas
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuseAnswer:
Step-by-step explanation:
Solve the equation. Chec)
5m - l = 4m + 5
Answer:
m = 6
Step-by-step explanation:
5m - 1 = 4m + 5
5m - 4m = 5 + 1 = 6
m = 6
Answer:
m = 6
Step-by-step explanation:
5 x 6 = 30
30 - 1 = 29
4 x 6 = 24
24 + 5 = 29
29 = 29
I WILL MARK BRAINLIEST!! What is the value of x in this triangle?
Answer:
x = 2
Step-by-step explanation:
=============================================================
Explanation:
The tickmarks tell us which sides are the same length. This in turn tells us that points N and O are midpoints of LJ and LK respectively (since midpoints cut a segment in half). We consider segment NO to be a midsegment.
Recall that midsegments are half as long as the side they are parallel to. That means segment NO is half as long as JK. This reverses to segment JK being twice as long as segment NO.
-------------
JK = 2*(NO)
2x+8 = 2*(12)
2x+8 = 24
2x+8-8 = 24-8 .... subtract 8 from both sides
2x = 16
2x/2 = 16/2 ...... divide both sides by 2
x = 8
If x = 8, then 2x+8 = 2*8+8 = 16+8 = 24. This shows that segment JK is 24 units long which is double that of midsegment NO being 12 units long. This confirms we have the correct x value.
Ariana invests $2,000 at a rate of 6% annual interest
compounded quarterly. Approximately how much is Ariana's
investment worth in 3 years?
I
Step-by-step explanation:
Compounded quarterly means n=4
A bakery used 35% more butter this month than last month. If the bakery used 240 kilograms of butter last
month, how much did it use this month?
You must show your work for full credit. Remember to include units.
Answer:
25%
Step-by-step explanation:
the bakery used 25% of butter.
Answer:
240 X 35% = 84
240 + 84 = 324
Step-by-step explanation:
The percentage increase on an item is 9 %. The old price is R455.00 Calculate the new
price.
What is the volume of a sphere with a radius of 21 units?
O A. 9261 7 units
O B. 12,348 units3
O C. 5887 units
D. 37,04477 units3
Answer: D
Step-by-step explanation:
The volume of the sphere is 12,348 cubic units.
Option B is the correct answer.
What is a sphere?It is a three-dimensional figure.
The formula for the volume of a sphere is given by V = (4/3)πr³,
We have,
The formula for the volume of a sphere is given by V = (4/3)πr³,
where r is the radius of the sphere and π is a constant approximately equal to 3.14.
Substituting the value of r = 21 units, we get:
V = (4/3)π(21)³
V = (4/3)π(9261)
V = 154(3)(7²)
V = 22,562π cubic units (using 22/7 as an approximation of π)
Rounding to the nearest whole number, the volume of the sphere is approximately 12,348 cubic units.
Thus,
The volume of the sphere is 12,348 cubic units.
Learn more about Sphere here:
https://brainly.com/question/12390313
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9. Solve for x in the parallelogram below.
D
E
16x+2
50
с
F
Oo
10
O
3
05
Answer:
3
Step-by-step explanation:
50=16x+2
50-2=16x+2-2
48=16x
48/16=16x/16
3=x
The table shows the running speeds of 10 randomly
selected roadrunners.
Speed (miles per hour)
| 12 | 13 | 14 | 18 | 14 | 13 | 14 | 17 | 12 | 13
Based on the data, select the most reasonable prediction about the speed of
roadrunners
A. The typical roadrunner runs at a speed of about 14 miles per hour.
B. The typical roadrunner runs at speeds greater than 17 miles per
hour
C. The typical roadrunner runs at a speed of about 10 miles per hour.
D. The top speed of a roadrunner is 17 miles per hour.
Answer:
the answer is A
Step-by-step explanation:
Answer:
Correct answer is A
Step-by-step explanation:
Pls help me ASAP thank you
Answer:
6. 8 mi³
7. 72 cm³
Step-by-step explanation:
6. Volume of triangular pyramid = ⅓*A*H
Where,
A = area of triangular base = ½*b*h = ½*3*4 = 6 mi
H = height of pyramid 4 mi
Volume = ⅓*6*4 = 8 mi³
7. Volume of triangular prism = ½*bhl
Where,
b = 3 cm
h = 6 cm
l = 8 cm
Volume = ½*3*6*8 = 72 cm³