If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
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Select the correct answer.
Which statement is true about the slope of the graphed line?
A.
The slope is negative.
B.
The slope is positive.
C.
The slope is zero.
D.
The slope is undefined.
Answer:
negative
Step-by-step explanation:it goes down
Answer:
A-the slope is negative
Step-by-step explanation:
right on plato/edmentum
A restaurant bill is $20. Find the 15% tip.
Answer:
You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.
Step-by-step explanation:
Answer $3.00
Step-by-step explanation:
Write the equation in point-slope form of the line that passes through (7, -6) and has the slope of 1/2.
PLS HELP
Answer:
y=1/2x-6
Step-by-step explanation:
use the equation y=mx+b
m=slope and b=y-intercept.
we know that the slope is 1/2 and the point is in (x,y) form so for b we can insert the b as -6 , the point that intercepts the y-axis. hope this helps!!
zia can make 12 batches of cookies in 6 hours. How long does it take her to make 2 batches of cookies? Show (visual representation) or explain (explanation using academic vocabulary) your reasoning.
Answer:
1hour
Step-by-step explanation:
1 hour because twelve divided by 6 is 2
Solve for x. Perimeter = 126 meters
Answer:
image or context?????
Step-by-step explanation:
−8x+9y=-21 -3x+9y=−36
Answer:
x=-3 y=-5
Step-by-step explanation:
big brain
Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =
Answer:
25
Step-by-step explanation:
Answer:
it is 25 :)
Step-by-step explanation:
A parabola has its axis of symmetry at x = -2 and passes through the point (-5, 6). Find another point that passes through the parabola.
Answer:
(1,6)
Step-by-step explanation:
Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)
Solve for x and y, please help!
Answer:
x = 37, y = 9
Step-by-step explanation:
3x + 11 and x + 21 are same- side interior angles and are supplementary, thus
3x + 11 + x + 21 = 189 , that is
4x + 32 = 180 ( subtract 32 from both sides )
4x = 148 ( divide both sides by 4 )
x = 37
--------------------------------
3x + 11 = 3(37) + 11 = 111 + 11 = 122
14y - 4 and 3x + 11 are vertical angles and congruent, thus
14y - 4 = 122 ( add 4 to both sides )
14y = 126 ( divide both sides by 14 )
y = 9
There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?
Answer: proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
Step-by-step explanation:
When y is directly proportional to y , then the equation for this relationship is given by :-
[tex]y=mx[/tex], (i)
where m is the proportionality constant.
here, it is given that number of months a person has had a streaming movie subscription is proportional to the total amount of money they have paid for the subscription.
If cost for 6 months is $47.94.
Put x= 6 and y= 47.94 in (i), we get
47.94 =6m
Divide both sides by 6 , we get
7.99 =m
So proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.
Recall:
A proportional relationship is modelled with the equation, y = kx.
k is the constant of proportionality between y and x.
k = y/x
Given:
x = number of months (6)
y = total amount paid for subscription (47.94)
If 6 months subscription costs $47.94, therefore,
k = 47.94/6
k = 7.99
Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.
Learn more here:
https://brainly.com/question/11703625
Question 7 (Essay Worth 5 points) (02.03) Part A: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea. Part B: Determine the unit rate in your example.
Answer:
Kindly check explanation
Step-by-step explanation:
For every 3 hours of weeding performed, I consume 5 litres of water.
This means that, I drink 5 litres of water whenever I weed for a total of 3 hours.
The unit rate :
The liters of water consumed per hour :
3 hours = 5 litres
1 hour = x
3x = 5
x = 5 /3
x = 1.67 litres
1.67 litres of water per hour of weeding performed
.
Answer:
an intruder is coming close brainly for a little please!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Account
Does this equation have a single solution, Inhnite solutions, or no solution?
Dashboard
2x + 2x + 2 = 4x + 2
Courses
teolition
Calendar
Inhnite solutions
ne solution
Inbox
Next
Hele
No new data to save Last checked at 5: Sopm
Submit Quie
Answer: Not sure why you copied the text of the website as well, but it has infinite solutions. You get 4x + 2 = 4x + 2, or 0 = 0.
Step-by-step explanation:
At a basketball game, a vender sold a combined total of 222 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
Probably 169
Step-by-step explanation:
I divided 222 by 2 and got 111 so i added 58 and got 169
111+58=169
If im incorrect please correct me so i can learn as well :D
Multiply. (2/5)(−5/4) Enter your answer as a fraction, in simplest form, in the box.
Answer:
[tex]\frac{2}{5}[/tex]×[tex]-\frac{5}{4}[/tex]=[tex]-\frac{10}{20}[/tex]=[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
2×5=10
5×4=20
add "-"
simplest
10÷10=1
20÷10=2
add "-"
Ans: -1/2 ([tex]-\frac{1}{2}[/tex])
Answer:
it is -1/2
Step-by-step explanation:you can trust me i did the quiz.
A jar contains only nickels, dimes and quarters. There is at least one of each type of coin in the jar. If the total value of the coins in the jar equals 60 cents, how many quarters are in the jar?
Answer: There is 1 quarter in the jar
Step-by-step explanation:
First, we see that there needs to be at least one coin of each; a nickel, a dime, and a quarter.
5+10+25=40 (cents)
A quarter is worth 25 cents, and the total value is only 60, so it is impossible for the quarter value to be more than one, otherwise breaking the total value of 60 cents.
Answer:
1
Explanation:
I did that questions in a Mathcounts competition
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer: Reflect across the Y and and move it 7 down
Step-by-step explanation: Reflecting across the Y will turn the (X,Y) into (-X,Y) then you just count how many places the image is away from the preimage.
what does -11/2 - 7/3 equal
Answer: - 47/6 or in mixed number form - 7 5/6
Step-by-step explanation:
Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)
Answer:
y=-8x+3
Step-by-step explanation:
Slope-intercept form means
[tex]y=mx+c[/tex]
To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.
Since the line is parallel to [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,
[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]
so, the equation becomes,
[tex]y=-8x+3[/tex]
What are the zeros of the following polynomial? 0=(x+5)(x-2)(x-3)
What percent of 25 is 20?
A) 40%
B) 50%
C) 60%
D) 80%
Help me please :>>>>>
Answer:
B, D
Step-by-step explanation:
NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!
2+2
Answer:
2+2=4
Step-by-step explanation:
You've got this man.
Answer:
4
Step-by-step explanation:
Help please it's a simple question I think but answer it please
Answer:
D. 36
Step-by-step explanation:
because to find volume we should multiply all the side
Answer:
d.36in
Step-by-step explanation:
Mr. Chavez spent $199.99 for a new smart phone, $39.99 on a carrying case, and $59.99 on accessories. The expression |-199.99| + |-39.99| + |-59.99| represents the total amount that Mr. Chavez spent. How much did Mr. Chavez spend altogether? Check your answer using estimation.
Answer:
$299.97
Step-by-step explanation:
Given that :
Total Amount spent :
New smart phone = $199.99
Carrying case = $39.99
Accessories = $59.99
Total amount spent is represented by the expression :
The expression |-199.99| + |-39.99| + |-59.99|
Since it is denoted using absolute value :
$(199.99 + 39.99 + 59.99) = $299.97
|-299.97|
What is the product of 70 and 1.8 x 10^3 expressed in scientific notation?
Answer:
70 x 1800 = 126000=1.26 x 16^5
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
70 and 1.8 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be
⇒ 70 × 1.8 × 10³
⇒ 126 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
HELP PLS
BRAINLIEST IF CORRECT
Answer:
I think it would be 1 and 3
Step-by-step explanation:
The correct answer is the first, second, and third.
1st Option-
This is pretty simple if you understand how a number line works. All the numbers on the right side are greater no matter what.
2nd Option -
All numbers on all sides could be rational, as we don't know what kind of number line this is.
3rd Option-
This is also correct because like the previous statement, the number line is unknown. We could have repeating numbers as long as the ones on the left side are less than the ones on the right.
4th Option -
This is incorrect because no matter what number line you have, the numbers on the left side are ALWAYS less than the ones on the right.
10.) Fishermen have been studying how the number of dead sea turtles in the local bay is related to the pollution index of the bay. The number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118. Which value represents the slope and what does it mean in the context of the scenario?
Answer:
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the form:
f (x) = m*x + b or y=m*x + b
where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.
The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis. According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.
You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118. Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.
Please Help ASAP! 8 POINTS!!
Ashley spends ⅙ hours of a day online. Ashley spends 3/8 of that time writing a blog. How long does Ashley spend writing a blog?
Answer:
It should be 1/16
Step-by-step explanation:
The word of in a word problem means multiplication so if you multiply you get 1/16
Answer:
Step-by-step explanation:
Time spend on online = 1/6 of 24 hours
= [tex]\frac{1}{6}*24[/tex]
= 4 hours
Time spend on writing a blog = 3/8 of 4
= [tex]\frac{3}{8}*4[/tex]
= [tex]\frac{3}{2}= 1\frac{1}{2}[/tex]
= 1 hour 30 minutes