Example:
x^2 + 5x + 6 = 0
(x+3)(x+2) = 0 .... factor
x+3 = 0 or x+2 = 0 ... zero product property used here
x = -3 or x = -2 .... solve each equation for x
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In general, the zero product property is that if A*B = 0, then either A = 0 or B = 0.
The Allied Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth? 1.95x + 2.50 = 27.46; Isaac traveled 15.4 miles. 1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles. 2.50x + 1.95 = 27.46; Isaac traveled 11.8 miles. 2.50x + 1.95 = 27.46; Isaac traveled 10.2 miles.
Answer:
B. 1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.
Step-by-step explanation:
If x represents the number of miles driven by the taxi
Then, amount charged= $ (2.50+1.95x)
Isaac was charged $27.46
2.50+1.95x = 27.46
Subtracting both sides by 2.50, we get
1.95x= 24.96
Dividing both sides by 1.95, we get
x=12.8
The linear equation will be 1.95x + 2.50 = 27.46
Amount charged to pick up passenger = $2.50 to pick up a passenger
Amount charged per mile = $1.95 per mile
Since Isaac was charged $27.46, then the equation will be:
2.50 + 1.95(x) = 27.46
2.50 + 1.95x = 27.46
Therefore, the linear equation will be 1.95x + 2.50 = 27.46
Read related link on:
https://brainly.com/question/24446296
The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. The four points shown on the graph are ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars.
Write an equation to represent the relationship between the total cost (y) and the number of bags of peanuts (x).
y = 4x
y = one-fourth x
y = 3x
y = one-third x
Answer:
dive the cost by the number of bags for each dot:
4 / 1 = 4
8 / 2 = 4
12 / 3 = 4
This means each bag cost $4
The equation would be Y = 4X, because you would multiply each bag bought (X) by $4 to get the total cost (Y).
Step-by-step explanation:
BRAINLYIS TPLS
Write an equation of a line that has a slope of 1/2 and has a point at (2, 5).
Solve the inequality. 1/2 (8x − 2) − 2/3 (9x + 3) ≤ 8
Answer:
x ≥ -11/2
Step-by-step explanation:
Step 1: Write inequality
1/2(8x - 2) - 2/3(9x + 3) ≤ 8
Step 2: Solve for x
Distribute: 4x - 1 - 6x - 2 ≤ 8Combine like terms: -2x - 3 ≤ 8Add 3 to both sides: -2x ≤ 11Divide both sides by -2: x ≥ -11/2Point V is the midpoint of line MP.
If VP = 4x – 6, and MP = 6x + 2.
Find the length of line MP.
Answer:
44
Step-by-step explanation:
1. Since point V is the midpoint of line MP, VP is half of MP.
2. Since VP is half of MP, 2(4x-6) = 6x+2
3. [tex]\frac{2(4x-6)}{2} =\frac{6x+2}{2}[/tex]
4. 4x-6 = 3x+1
5. x = 7
6. Substitute x with 7 on equation 6x+2. 6(7)+2
7. Answer 44.
Add:
-4 + 2 =
Submit
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
If you take 4 and 2 and then subtract them you will get 2.
Now, look at the problem and see which number is bigger.
4 is bigger and it has a negative in front of it.
So it will be -2.
3. Evaluate x: y for x = 3 and y = 12. a. 0.25 b. 4 c. 9 d. 36
Answer:
4
Step-by-step explanation:
plug it in and 3 divided by 12 is 4
what is equivalent to sq root -27
[tex]\sqrt{-27}=\sqrt{27}\sqrt{-1}=\boxed{3\sqrt{3}i}[/tex].
Result is a complex irrational number.
Hope this helps.
What is the slope of the line represented by the equation 3x+4y= 1/2? –4/3 –3/4 3/4 4/3.
Answer:
-3/4 is the slope
Step-by-step explanation:
3x + 4y = 1/2
4y = -3x + 1/2
y = -3/4x + 0.125
m = -3/4
whhy was this guy wrong????
Answer:
Step-by-step explanation:it should have been like the above question.
4+4+4+4+4+4
Pls need help been struggling hard
Answer:
10. X = 2.75
11. X = 1.61
Hey there, I have the steps listed below but what is the problem asking, I cannot solve it unless it explains the problem. Thank you!
Step-by-step explanation:
10. 5x + 10 + 11x + 2 = 56
16x + 12 = 56
16/16x = 44/16
X = 2.75
11. -1 + 8x + 18x + 5 = 46
26x + 4 = 46
26/26x = 42/26
X = 1.61
~I hope I helped you! :)~
Problem 10
Answers:x = 11angle UTS = 65angle AUT = 123-----------------------
Explanation:
The remote interior angles UTS and TSU add to the exterior angle AUT. This is because of the remote interior angle theorem. The interior angles you add cannot be adjacent to the exterior angle.
(angle UTS) + (angle TSU) = angle AUT
(5x+10) + (58) = 11x+2
5x+10+58 = 11x+2
5x+68 = 11x+2
68-2 = 11x-5x
66 = 6x
6x = 66
x = 66/6
x = 11
Use this x value to find that...
angle UTS = 5x+10 = 5*11+10 = 65
angle AUT = 11x+2 = 11*11+2 = 123
==========================================
Problem 11
Answers:x = 4angle CDB = 31angle WBC = 77-----------------------
Explanation:
We'll use the same theorem as before
(angle BCD) + (angle CDB) = angle WBC
(46) + (-1+8x) = 18x+5
46-1+8x = 18x+5
8x+45 = 18x+5
45-5 = 18x-8
40 = 10x
10x = 40
x = 40/10
x = 4
angle CDB = -1+8x = -1+8*4 = 31
angle WBC = 18x+5 = 18*4+5 = 77
how would I graph this I will give brainliest
A) Antoine's family is taking a summer vacation through the northern united states on day one of the trips the family will be travelling 85 miles on day two of the trip they will travel 125 miles on the third day they will travel 176 miles how many kilometres will Antoine and his family travel each day? (calculate to the nearest kilometres.) b) How many miles and kilometres will they travel in total?
Answer:
621.207kmStep-by-step explanation:
We are expected to convert from miles to kilometer
first day 85 miles =136.794km
Second day 125 mile=201.168km
third day 176 miles =283.245km
Total distance covered is
136.794km+201.168km+283.245km=621.207km
Therefore the total distance in kilometer is 621.207km
one more than three times a number is the same as twice the same number increased by 5. what is the number?
Answer:
3x+1=2x+5
Sometimes I might be wrong.
<3, Red
Answer:
4
Step-by-step explanation:
3x+1=2x+5
3x-2x=5-1
x=4
Which is the graph of the line LaTeX: y-2=3\left(x-1\right)y − 2 = 3 ( x − 1 )?
Answer:
D.
Step-by-step explanation:
The equation given takes the point-slope form which is, [tex] y - b = m(x - a) [/tex]. Where,
(a, b) = (x, y) coordinates of a point on the line.
m = slope of the line .
To find which graph has a line equation of [tex] y - 2 = 3(x - 1) [/tex], look for the points which will give you something almost exactly as the equation if you substitute their values into [tex] y - b = m(x - a) [/tex].
Let's consider option D.
We have a given point (1, 2). a = 1, b = 2.
Substitute these into [tex] y - b = m(x - a) [/tex]
We have:
[tex] y - (2) = m(x - (1)) [/tex]
[tex] y - 2 = m(x - 1) [/tex]
As you can see, this looks almost exactly as
[tex] y - 2 = 3(x - 1) [/tex].
If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into [tex] y - 2 = m(x - 1) [/tex] to find m:
In graph D, let's take the points (0, -1)
[tex] -1 - 2 = m(0 - 1) [/tex]
[tex] -3 = m(-1) [/tex]
[tex] -3 = -m [/tex]
Divide both sides by -1
3 = m
m = 3.
Therefore, option D is the graph of the line [tex] y - 2 = 3(x - 1) [/tex].
76+-90-(-48)
Help!!!!!!!!!!!!!!!! Pls
Answer:
Answer
If we add 76+(-90)-(-48)=34
Find the variables.
(x - 10)
104°
X=I
Answer: 114 Degrees
Step-by-step explanation: Add 10 to 104 and there is X and I is equivalent to X.
If a change of adding 5 to a set of data. How the range will be affected?
1. will be added by 5
2. will be subtracted by 5
3. will be multiplied by 5
4. will not be affected
Charles scored 75% on a test and got six questions wrong. How many questions were on the test?
Answer:
24 question total
Step-by-step explanation:
[tex]\frac{0.25}{6}=\frac{1}{x}[/tex]
im here to help :)
Red
Answer:
24 problems were on the test
Step-by-step explanation:
6/24 =1/4 =25%
18/24=3/4=75%
If (fail) test were 25% were6 problems wrong, and 25% is 3 times less than 75%, then 18 is 3x6=18 problems correct
What is 3.4550 rounded to 1 decimal place? *
3
3.4
3.46
3.5
Answer:
3.5 (D)
Step-by-step explanation:
focusing on the right side of the decimal, 5 rounds 5 to 6. 6 rounds 4 to 5. Anything 5 or above rounds up! So the .5 rounds 4 to 5, making the answer 3.5. So sorry if this doesn't make sense, its kind of hard to explain.
HELP!! This is for my math, Picture added.
Answer:
x=3, x=[tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
2x^2-x-15=0
2 times -15 equals -30, so plug in 5x and -6x for -x
2x^2-6x+5x-15 factor,
2x(x-3) 5(x-3)
x-3=0 2x-5=0
x=3 x= -5/2
PLEASE HELPPPPPPBobby took out a single loan for $500 and paid a $50 fee. His loan is due in 1 week. Find the effective interest rate on the loan Bobby took out. Round the answer to one decimal place.
Answer:
He took a loan of $500 and paid a fee of $50 on the loan. This means that #500 divided by $50 =10%
A number and its additive inverse, or opposite are considered what
additive inverse. and additive inverse of a number “a” is the number that, when added to “a”, yields 0. this number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.
What is 3n² = 243
I NEED THIS ANSWER QUICKLY!!!!
Answer:
n=9
Step-by-step explanation:
You use reverse PEMDAS.
First you would divide by 3 on both sides. This should give you:
n²=81
Then you would find [tex]\sqrt{81}[/tex]. Which is 9.
A dealer paid kshs 240,000 to an agent as commission for sale of a car .The commission was 3 percent of the car price how much money did the dealer remain with from the sale of the car if he also had to pay the government v.A.T at 16 percent of the total car
Answer:
kshs 6,480,000
Step-by-step explanation:
Since, kshs 240,000 represent the 3% of the car price, you can use a rule of three to calculate the amount that represents 100%:
240,000 → 3%
x → 100%
x=(240,000*100)/3
x=8,000,000
So, the price of the car is kshs 8,000,000 and you can calculate the 16% of this, to find the amount that the dealer had to pay as government V.A.T:
8,000,000*16%=1.280.000
Now, you can subtract the comission and the government VAT from the car price:
8,000,000-240,000-1,280,000=6,480,000
According to this, the answer is that the dealer remained with kshs 6,480,000 from the sale of the car.
Is the square root of 9 less than 3.54
Answer:
yes
Step-by-step explanation:
the square root of 9 is 3 so 3.54>3
Select all statements that are true of polynomials:
Answer:
All of them are true except the 5th from the top
Step-by-step explanation:
What is the angle relationship ?
Answer:
x and y are Vertical angles
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips, c, that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?
Answer:76$
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
1.99 x chips + 59 game must cost less than 75
1: Ten baseballs weigh 1,417.4 grams. About how much does 1 baseball weigh? 2: Round your answer to the nearest tenth of a gram. 3:Round your answer to the nearest gram. 4: Which answer would you give if someone asked, "About how much does a baseball weigh?" Explain your choice.
Answer:
141.74 grams
Step-by-step explanation:
According to the given situation, the computation of each baseball weighs is shown below:-
Each baseball weighs = Total weight of all ten baseballs ÷ Total amount
= 1,417.4 ÷ 10
= 141.74 grams
Therefore for determining the each baseball weighs we simply applied the above formula.
The same is to be considered