Answer:
B; one solution
Step-by-step explanation:
Here, we want to get the number of solutions the system of linear equations has
From what we have in the diagram, we can see that the two lines cross at a point
The point at which these two lines meet is the solution to the system
What we are saying is that the (x,y) of the point at which the two equations meet represent the solution
Choose the expression that shows P(X) = x3 + 5x2 + 11x + 10 as a product of two factors.
A. 2x(x2 + 3x + 3)
B. (x + 1)(2x2 + 3x + 6)
C. (2x + 3)(x2 + x + 2)
OD. (X + 2)(x2 + 3x + 5)
Answer:
D
Step-by-step explanation:
X3+3x2+5x+2x2+6x+10
Collect like terms
X3+5x2+11x+10
The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Now,
Solve the expression for the factors as;
The expression is,
⇒ P(X) = x³ + 5x² + 11x + 10
Since, -2 is the solution of the expression.
Hence, (x + 2) is one of the factor of the expression.
So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)
by (x + 2), we get;
x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5
x³ + 2x²
--------------
3x² + 11x
3x² + 6x
------------------
5x + 10
5x + 10
--------------------
0
Thus, The second factor = (x² + 3x + 5)
Therefore,
x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)
Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;
⇒ (x + 2) (x² + 3x + 5)
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PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?
Answer:
C
Step-by-step explanation:
Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅
We come up to the conclusion of C
Factor 60y - 90 - 20x to identify equivalent expressions
Answer:
10(6y−9−2x) and 5(12y−18−4x)
Answer: 10(60y/10 - 90/10 +-20x/10)
I need help I am lost please help me
Answer:
6
Step-by-step explanation:
Because 6 is 6 times as 1, 12 is 6 times as 2, 18 is 6 times as 3 and so on.
Can y’all help me out please
Answer:
D. the function approches 1 as x approches -∞ and ∞
Cuánto tiempo debe transcurrir para que un capital de $3,000.00 alcance un monto de $7,000.00, si la inversión se hizo con 5% de interés simple mensual?
Answer:
27 years approx
Step-by-step explanation:
Given data
Principal P= $ 3,000
Final amount A= $ 7000
Rate r= 5%
The simple interest expression is
A=P(1+rt)
substitute and solve for t
7000=3000(1+0.05t)
7000=3000+150r
7000-3000=150r
4000=150t
t= 4000/150
t= 26.66
Hence, the time is 27 years approx
How to find mean absolute deviation
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
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hope it helps
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
SQ
Step-by-step explanation:
NL:SQ = MN:SR = ML:RQ (corr.side, similar triangles)
what is the distance between the points (-5,-4) and (3,-3) on a coordinate plane
Answer:
18
Step-by-step explanation:
if you were to plug the coordinates into a graph, (-5,-4) would be 16 blocks to the right and two blocks up making it a total of 18
Hope this helps!
The distance between the points P ( -5 , 4 ) and Q ( 3 , -3 ) on the plane is given by D = 8.06 units
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the first point be P = P ( -5 , -4 )
Let the second point be Q = Q ( 3 , -3 )
Now , distance between P and Q is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
D = √ ( -5 - 3 )² + ( -4 - ( -3 ) )²
D = √ ( 64 + 1 )
D = √65 units
D = 8.06 units
Hence , the distance is 8.06 units
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Michael needs at least $200 to buy airpods. He already has $50. If he saves $15 each week, how many weeks will it take for Michael to reach his goal? Write and solve an inequality.
Answer:
it will take him 3 weeks to reach is goal.
Step-by-step explanation:
if michael needs $200 and he already has 50 then 200-50 is 150. then you divide 150 divided by 15 to get 3
hopethis helped.
I will mark branliest!
Find the area of the circle below, rounding your answer to the nearest tenth.
Answer:
sorry it blurry the answer is 154cm²
hope that helps
The net of a rectangular prism as shown in the diagram below what is the total surface area of the rectangle prism in square inches. HELP PLZZZZZ
Answer:
b. 278 sq. in.
Step-by-step explanation:
i passed pre-algebra ik what i'm talking about
The school band gets $5 for each T-Shirt they sell at a fundraiser. They have a goal of raising $150. If $45 has been raised do far, how many more T-Shirts do they have to sell to reach or exceed the goal?
What is the probability of NOT landing on a 7?
Answers:
1/7
2/7
6/7
3/7
Answer:
6 out of 7 6/7
Step-by-step explanation:
Mmm statistics at its best, okay lets go.
So I’m assuming this is a 7 sided die or something along those lines.
So, if you could land on any other value EXCEPT for seven, since six values are before, it would be a 6 out of 7 chance to not land on a 7.
The length of a rectangular courtyard can be represented by (4x +3) and the width by (3x– 7). What is
the area of the courtyard?
A rectangle has a perimeter of 24 ft. Following a dilation, the new perimeter of the
rectangle is 36 ft.
Determine the scale factor of the dilation.
Answer:
it has increased by 1/2 so the scale factor would either be 3/2 or 1.5 or something
Step-by-step explanation:
What is the product of 8x²y² and 9xy³ ?
Answer:
72x^3y^5
Step-by-step explanation:
8x²y² x 9xy³
72x^3y^5
Which one of the following expression is binomial?
A. 2x+3y+z
B. 2x+3
C. 2x
D. x+y+z
Answer:
2x+3
good luck
nice day
gg
Answer:
B. 2x+3
Step-by-step explanation:
Have a great day
6th grade math easy helpp
Answer: 18 degrees
Step-by-step explanation:
If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is
10hours:12 degrees
to find hours divide both sides by 2 and multiply by 3 to get
15hours: 18 degrees
solve for x. please help asap we have a test on these tomorrow and i have no idea what’s going on.
Answer:
x = 20°
Step-by-step explanation:
You know the horizontal line is 180°. If the left side of the horizontal line is 90° (right angle), then the right side of the horizontal line should be 90° too. (180° - 90° = 90°)
Thus, 90° = 43° + 2x + 7°
2x = 90° - 43° - 7°
= 40°
x = 40° ÷ 2
x = 20°
Answer:
X = 2
Step-by-step explanation:
As the lines are perpendicular...
90 = 43 + 2x + 7
Solve for x by making x the subject.
90 - 43 - 7 = 2x
40 = 2x
40/2 = x
20 = x
therefore, x = 2
(WILL GIVE BRAINLIST) The number of phone calls received by the complaint department of a small company over a five day period is as follows:
28, 26, 33, 41, 47
Find the mean deviation for this data.
Select one:
8.9
7.2
7.9
62.8
Answer:
im not shure which one it is
Step-by-step explanation:
A researcher is interested in the effect of alcohol consumption on reaction times. Participants are assigned to one of three possible conditions: nonalcoholic beer group, 1 beer group, 2 beer group. After drinking, each participant is run through a driving simulator that measures their reaction time to unexpected obstacles (e.g., a child running into the street after a ball) that randomly appear during the simulation. In this example, what is the independent variable
Answer:
The three different possible conditions ;
nonalcoholic beer group, 1 beer group, 2 beer group
Step-by-step explanation:
The Independent variable, also known as the predictor variable are variables used to influence and check changes in the dependent or predicted variable as subjects are exposed to the different types or levels of independent variable used in the study.
In the scenario described above, the predictor or independent variables which are used to measure the reaction times of participants to unexpected variables is the independent variable, beacuse these different variables ; nonalcoholic beer, 2 beer will probably affect the response time of the participants which is the dependent variable.
help! parallel, perpendicular, or neither?
Answer:
parallel
Step-by-step explanation:
Because a is pependicular to k
Your parents are buying a new car for $15,000. They pay 6.25% sales tax . How much do they pay for the car including tax
Answer:
$15,937.50
Step-by-step explanation:
15000 × 1.0625 = 15937.5
Joseph flew home from vacation with a heavy bag. With the first airline he flew, Joseph had to pay $27 to check his bag, plus $24 for every kilogram that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Joseph had to pay $25 per kilogram that his bag was over the weight limit, in addition to the checked bag fee of $16. By coincidence, the fees ended up being the same with both airlines. How far over the weight limit was the bag
Answer:
Step-by-step explanation:
Flight A :
Checked bag fee = $27
Additional fee per overweight limit = $24
Flight B:
Checked bag fee = $16
Additional fee per overweight limit = $25
Since, the total amount paid for the package on both flights are the same ;
Let x = mass of bag above the weight limit.
Hence, Mathematically ;
27 + 24x = 16 + 25x
24x - 25x = 16 - 27
-x = -11
x = 11
Hence. The bag was s 11kg over the weight limit.
50 points!
-]Kala’s fish tank has 16 liters of water in it. She plans to add 4 liters per minute until the tank has more than 36 liters. What are the possible numbers of minutes Kala could add water?
-]Use t for the number of minutes.
-]Write your answer as an inequality solved for t.
Answer:
I will ask a freind if they know
Step-by-step explanation:
Answer:
t > 5
Step-by-step explanation:
Time : liters
[tex]\left[\begin{array}{ccc}0&16\\1&20\\2&24\\3&28\\4&32\\5&36\\6&40\end{array}\right][/tex]
We can see using the table that at 5 minutes, there would be 36 liters of water in the tank. Since Kala is going to keep filling the tank until there is more than 36 liters, the inequality would be t > 5.
hii please help i’ll give brainliest!!
Answer:
B
Step-by-step explanation:
Newton's third law states that for every force in nature there is an equal and opposite reaction.
just help me again for 2 times
Answer:
A. 86.7
first, the base. length x width.
it's square, so
5.1 x 5.1= 26.01
then the sides. formula for a triangle is base times height divided by 2.
5.1 x 5.95= 30.345 divided by 2 is 15.1725
there are 4 sides, so multiply times 4
4 x 15.1725= 60.69
now, add the base to the sides
26.01 + 60.69= 86.7
A spotlight is mounted on a wall 9.8 feet above a security desk in an office building. It is used to light an entrance door 14.5 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
to be honest i think your answer is 51°
Find the percentage change from
75 to 50.
Step-by-step explanation:
50÷75 is .6667. that means that 50 is 66.7 percent of 75.
100 minus 66.7 is 33.3. It is a 33.3 percent change
Answer:
-25%
Step-by-step explanation:
hope this helps!! please mark brainliest.