Sum of standard form polynomials means adding the terms of same variable. The sum of the given polynomial in standard form is,
[tex]-x^2+2x-3[/tex]
What is polynomial equation?A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
Here, n is any real number.
In the polynomial equation the the terms are added or subtracted from each other only when the power of the variable is same.
Given information-
The first polynomial equations given in the problem is,
[tex](x^2 - 3x)[/tex]
The second polynomial equations given in the problem is,
[tex](-2x^2+ 5x - 3).[/tex]
To find the sum of these two polynomials, add the two terms together as,
[tex](x^2 - 3x)+(-2x^2+ 5x - 3)[/tex]
Let the result of the sum is [tex]f(x)[/tex]. Thus,
[tex]f(x)=(x^2 - 3x)+(-2x^2+ 5x - 3)\\f(x)=x^2-3x-2x^2+5x-3[/tex]
Separate the similar power variable as,
[tex]f(x)=(x^2-2x^2)+(-3x+5x)-3\\f(x)=-x^2+2x-3[/tex]
Thus the sum of the given polynomial in standard form is,
[tex]-x^2+2x-3[/tex]
Learn more about the polynomial equation here;
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The menendez family paid $45 for a meal at a restaurant.They left a tip that was 20% of the cost of the meal.How much was the tip
Answer:
$9
Step-by-step explanation:
20% is equal to 1/5. Multiply $45 by 1/5 to get $9
Which amount has the greatest value in Canadian dollars?
US$15
€11
£10
Answer:
US$15
Step-by-step explanation:
US$15 = 19.15 (Canadian)
€11 = 15.91 (Canadian)
£10 = 17.35 (Canadian)
______________________
$1 in the US (US) is $1.28 in Canada
$1 in Euros (€) is $1.45 in Canada
$1 in the UK (£) is $1.73 in Canada
What are the solutions of the quadratic equation?
x² – 2x = 8
O x = 1
a) x = 1 or x = -8
b) x = 8 or x = -1
c) x = 2 or x = -4
Od) x = 4 or x = -2
Answer:
d)X=4 or x=-2
Step-by-step explanation:
X²-2x=8
X²-2x-8=0
(x-4)(x+2)=0
X-4=0 or x+2=0
X=4 or x=-2
Answer: D. x = 4 or x = -2
The correct answer is x = 4 or x = -2
Step-by-step explanation:
Hope this helps =)
Describe the vector that translates DEF to D’E’F’.
A. (-4, -3)
B. (3, 4)
C. (4, 3)
D. (-3, -4)
Answer:
(-3 , -4)
Step-by-step explanation:
Vector translation: graph slide without rotation on the coordinate plane
26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61
Question
What is the range of the set of data?
Answer:
range = 39
Step-by-step explanation:
The range is the difference between the largest value in the data set and the smallest value.
range = 65 - 26 = 39
Answer:
35
Step-by-step explanation:
26, 35, 38, 41, 43, 52, 54, 55, 58,61
The biggest number minus the smallest number
61- 26
35
vector a= 2i+ 3j - 5k.what is the value of 3a?
Answer:
The answer is 6î + 9j – 15k
Step-by-step explanation:
Given;A = 2î + 3j – 5kTo Find;Value of 3ASo,
A = 2î + 3j – 5k
Multiply The value of A with 3 we get,
3A = 3(2î + 3j – 5k)
3A = 6î + 9j – 15k
Thus, The value of 3A is 6î + 9j – 15k
-TheUnknownScientist 72
In a certain clothing store, 3 shirts and 5 ties cost $60, and 2 shirts and 3 ties cost $39. What is the cost of each shirt? If s = the cost of a shirt and t = the cost of a tie, which system of equations represents the problem? 3s 5t = 60 and 2s 3t = 39 s t = 60 and 5s 8t = 99 3t 5s = 60 and 2t 3s = 39.
Answer:
ties cost $3
shirts cost $15
Step-by-step explanation:
s=shirts
t = ties
3 shirts and 5 ties cost $60:
3s+5t=60
2 shirts and 3 ties cost $39:
2s+3t=39
−2(3s+5t=60)
3(2s+3t=39)
−6s−10t=−120
6s+9t=117
add equations together:
−t = −3
t = 3
so ties cost $3, use either of the original equations to solve the price of shirts:
2s+3⋅(3)=392
s+9=392s=30
s=15
so shirts cost $15
Answer:
3s + 5t = 60 and 2s + 3t = 39
Step-by-step explanation:
A garden is going to be built in the city park in the shape of a parallelogram, with a rectangular walkway
running through it. The garden region is shown in the following figure. Find the area of the garden region by
finding the areas of the individual shapes shown in the figure.
78 ft
72 ft
30 ft
20 ft
Answer
Answer:
7,456 im only 9 but i think it's right.
Step-by-step explanation:
Answer: The answer is 7,456!
Step-by-step explanation: 78 x 78 + 30 x 30 + 20 times 20 + 72 equals to 7456!
PLEASE ANSWER WILL GIVE BRAINLIEST!!!
Find the length of the three missing sides in the rhombus below.
Answer:
48
Step-by-step explanation:
All of the sides are 48 because a rhombus has equal sides.
The measure of y is 48.
What are Properties of Rhombus?The lengths of all four sides are equal.The two opposite sides are parallel.Angles opposite each other are equal.Diagonals intersect at right angles, or 90 degrees.The diagonals of a rhombus cut through its opposite angles.The total of two neighboring angles, i.e., 180°, is supplementary.Given:
As, we know that Rhombus resemble property of Square which has all sides Equal.
Then, the four sides of Rhombus are also Equal.
Then, x=z and y= 48.
Hence, the measure of y is 48.
Learn more about Rhombus here:
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#SPJ2
help me please thank yo
Answer:
10*g
Step-by-step explanation:
How many golf balls were in each package?
10 packages
g =golf balls
The balls came in the 10 packages, we don't know how many there are so we use g as a substitute. Therefore being 10*g.
Ex:
lets assume there is 5 golf balls in each package and there is a total of 10 packages. 10*5=50 and if you count each ball it would be the same 5,10,15,20,25,30,35,40,45,50 balls in each. 10*5= 10*g. Same thing except I added a number making it a equation.
which of the following points would fall on the line produced by the point-slope form equation y-6=7(x+4)
A (-1,28)
B (0,-34)
C (-3,13)
D (2,20)
Answer:
[tex]a.( - 128)[/tex]
Step-by-step explanation:
#ThanksMeLater
#CarryOnLearning
Help help pls psl someone help
Answer:
i have no idea
Step-by-step explanation:
i actually dont know but thnks for the points BTW
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? 1.Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. 2.Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. 3.No, there are three different values for x when each expression is set equal to 10. 4.No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Sides given by
10x+2x+52x+3Opposite sides must be equal
Let's check once
[tex]\\ \tt\hookrightarrow x+5=2x+3\implies x=2[/tex]
Find sides now
10in2+2=4in2+5=7in2(2)+3=4+3=7inOne pair of opposite sides are equal but others not .
It's a trapezium.Answer:
1. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.Step-by-step explanation:
The opposite pairs are:
1)
10 in with x + 2 inIt makes:x =+2 = 10 ⇒ x = 8 and both sides 10 in2)
x + 5 with 2x - 3
It makes:
2x - 3 = x + 52x - x = 5 + 3x = 8The sides are:
8 + 5 = 13 and2*8 - 5 = 13 inCorrect answer choice is 1)
Please help! There are only 3 choices.
Find the height of the tree in feet if the angle of depression is 31 degrees.
A) 7.2 feet
B) 10.3 feet
C) 6.2 feet
The value is approximate.
========================================================
Explanation:
Check out the diagram below.
The angle of depression being 31 degrees refers to the idea of looking straight horizontal, then looking down 31 degrees. I recommend adding a dashed horizontal line.
That horizontal line is parallel to the ground. This forms a pair of congruent alternate interior angles. Therefore, we have two angles that are 31 degrees as the diagram shows.
The 31 degrees at the bottom is the angle of elevation.
Use this angle of elevation to say...
tan(angle) = opposite/adjacent
tan(31) = x/12
x = 12*tan(31)
x = 7.210327 approximately
This rounds to 7.2 feet
I need help in this question
Answer:
1a) a= -10
b) b= -5
c) c= -1068
d) d= -1000
2a) a and c
b) b and b
c) c and a
d) d and a
Step-by-step explanation:
Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0. 85t. Local taxes are an additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1. 08p. Using this information, which of the following represents the final price of a tablet, with the discount and taxes applied, based on its original price? c[p(t)] = 0. 918t t[c(p)] = 0. 918t c[p(t)] = 1. 93p t[c(p)] = 1. 93p.
Taxation is done on the discounted price. The equation representing the final price of a tablet for this condition is : Option A: c[p(t)] = 0. 918t
What are composite functions?Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.
For given case, it is given that
Discounted price for original 't' price of a tablet is
[tex]p(t) = 0.85t[/tex]
This discounted price is then passed as input to the tax calculating function as taxation is specified to be done on the discounted price and not on the original price.
The total cost calculating function is [tex]c(p) = 1. 08p[/tex]
Thus, for original price t, the total cost is given as:
[tex]c(p(t)) = 1.08(p(t)) = 1.08 \times 0.85t = 0.918t[/tex]
We composed the two available function to get the direct final cost from value of t.
Thus,
The equation representing the final price of a tablet for this condition is Option A: c[p(t)] = 0. 918t
Learn more about composite functions here:
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4. In one week, Latrina received 18 snickers and 8 butterfingers
What is the ratio of butterfingers to snickers?
I need help!
f(x)=-3x+6/4x-8
Answer:
same
Step-by-step explanation:
What is the constant of proportionality for the relationship shown in this table? PLEAAASE I WILL MAKE U BRAINLIEST
Answer: 3
Step-by-step explanation:
Divide the x numbers by 3 to then get the y numbers
Example: 3 divided by 1 is 3, 6 divided by 2 is 3, and it goes on!
once again the final answer is 3
hope this helps!
Please Helppppppppppp
Answer:
The width of the actual pool is 12 meters
Step-by-step explanation:
You can put Kiara's scale into a ratio or fraction to help visualize it better: 13/6. Now, let's put what we do know for the other ratio into a fraction. we know that the pool is 26 centimeters wide, and since the 26 matches with the 13, that goes in the numerater. since we don't know the denominator, we can just put 26/x (you can use whatever letter you like but I'll use x here)
So in order to get 13/6 to 26/x, we need to find how to figure out what we are doing to the original fraction. Since 13 x 2= 26, it looks like we are multiplying the ratios by 2. Now that we know that, we can multiply the denominator (6) by 2 to equal 12, our answer.
Hope this helps :)
Which expression is equivalent to (7x+9y)2
Answer:
[tex]49x^2+126xy+81y^2[/tex]
Step-by-step explanation:
Use the square of a binomial theorem
[tex](a+b)^2[/tex]= [tex]a^2+2ab+b^2[/tex]
Now expand the given equation:
[tex](7x+9y)^2=49x^2+126xy+81y^2[/tex]
Hope this helps :)
Have a great day!
Find the inverse of f(x)=2x+7
help asap!
nonsense-report
answer-brainly
Hello there !
I will be glad to help you since I already studied this!
So, the angles that will always be equal to each other formed by a transversal even in solving equations are, corresponding angles, alternative interior, and alternative exterior. Refer to the attachment for visual understanding
Vocabularies: Transversal - transversal is a line that intersects two or more other (often parallel ) lines.
Include to this there are consecutive interior angles and for a tip, for example, you see an equation with consecutive angles add the two angles and make them equal to 180 degrees in most cases.
Depending on your question they may give you angles with same lines on them so which means in most cases they are equal even if they don't seem equal
I forgot to inform you about vertical angles!
they are also congruent..refer to the attachment too
Supplementary angles are on a straight line.... AND equal to a sum of 180 degrees.. refer to the attachment as well
Answers:
1. Yes - because they are vertical angles
2. No because none of the rules apply so it's not congruent
3. Yes- they are congruent
4. No because none of the rules apply...
5. No-No because they aren't adjacent and adjacent angles add up to 180 degrees(Tip: adjacent angles are close to each other almost on the same side)
6. No- they are corresponding... they do now add up to 180 degrees
7. No
Next page
Answer:
Refer to the other answer attachment please study the rules!
I Hope i helped!
If i made a mistake tell me cause no one is perfect but i think most of them are correct!
....................................................................................................................
Please help me solve this problem ASAP
Answer:
Quadrant 2
Step-by-step explanation:
A 90 °counterclockwise rotation, rotates the triangle left one quadrant. Currently the triangle is in quadrant 3.
Answer:
Question 9 right? Well then it would be in quadrant IV
Step-by-step explanation:
Since it is just 90 degrees counterclockwise it would go to the fouth quadrant.
A rectangle has an area of 63 square yards and a width of 3. 5 yards. What is the length, l, of this rectangle? l = 9 yd l = 18 yd l = 28 yd l = 45 yd.
Answer:
18 yards
Step-by-step explanation:
Rectangle area = Length (L) x Width (W)
63 yd^2 = L*W
63 yd^2 = L*(3.5 yd)
L = 18 yards
Answer:
/ = 18 yd
Step-by-step explanation:
I took the quiz and this was the correct answer.
3.2x + 7.9 + 8.2 + 6.7x
Simplify the expressions. (not equations!)
Please help ASAP.
Answer:
9.9x + 16.1
Step-by-step explanation:
SImplify using like terms
Simplify:
3.2x + 7.9 + 8.2 + 6.7x3.2x + 6.7x + 7.9 + 8.29.9x + 16.1-Chetan K
Please help me with this please actually help me please and thank you
Answer:
y=3x-1
y=3x+4
this has no solutions from looking at this we can see that the slope is the same so thats means that these are parell and will never cross and will never intersecet
another way to look at this is if we look at these equation
so we now that y=y so
3x-1=3x+4
+1
3x=3x+5
-3x
0=5
wait at minute this makes no sense 0 doesn't equal 5 so
no solution
Hope This Helps!!!
The climate in which Jonah lives is mild all year long except during the hotter summer months. For 3 months out of the year, Jonah needs to use 4 portable fans to cool his home. If the electricity to use one fan costs 1 cent per hour and each fan is on for about 96 hours per month, what is his total electricity cost for the fans during one year? a. $6. 72 b. $3. 84 c. $11. 52 d. $2. 88 Please select the best answer from the choices provided A B C D.
Using proportions, it is found that his total electricity cost for the fans during one year is given by:
b. $3.84
What is a proportion?A proportion is a fraction of a total amount.
In this problem, for 3 months, he uses 4 portable fans, and each fan is on for about 96 hours per month, hence the total number of hours he uses it is:
4 x 96 = 384 hours.
The cost is one one cent per hour, hence:
$0.01 x 384 = $3.84.
Which means that the total cost is of $3.84, and option b is correct.
More can be learned about proportions at https://brainly.com/question/24372153
explain how to get the variable alone in the equation. 4x = 32
Step-by-step explanation:
since 4 is being multiplied with x we can take 4 to left hand side where it will be divided
4x = 32
x = 32/4
x = 8
Two trains are 500 miles apart and traveling toward each other one train travels 20 mph than the other and after two hours the trains are 300 miles apart find the speed of the faster train
pls help!
Answer:
60 mph
Step-by-step explanation:
We calculate the combined distance travelled by the two trains in two hours.
As they were 500 miles apart at first, and 300 miles apart after, they have travelled 200 miles together.
I think the question means "one train travels 20 mph faster than the other".
Say the faster train has speed x mph. Then the slower has speed x - 20 mph.
Now, the combined distance travelled in 2 hrs is 2 * (x + x - 20) = 200
2x - 20 = 100
2x = 120
x = 60 mph