Answer: 4x³-19x+15
Step-by-step explanation:
We are given f(x) and g(x). Since we need to find f(x)·g(x), we multiply f(x) and g(x).
[tex](2x+5)(2x^2-5x+3)[/tex] [distribute by FOIL]
[tex]4x^3-10x^2+6x+10x^2-25x+15[/tex] [combine like terms]
[tex]4x^3-19x+15[/tex]
Now we know [tex]4x^3-19x+15[/tex] is the correct answer.
The costs of 1 kg apples and 1 kg grapes are in the ratio of 9:7. The cost of 1 kg apples is Rs 20 more than the cost of 1kg grapes. Find the cost of 1 kg apples and 1 kg of grapes.
Answer:
Apple = Rs90
Grape = Rs70
Step-by-step explanation:
Given
Represent Apples with A and Grapes with G
Such that:
The ratio is
[tex]A : G =9:7[/tex]
And the price is
[tex]A = 20 + G[/tex]
Required
Determine the cost of 1 kg of each fruit
[tex]A : G =9:7[/tex]
Convert to fraction
[tex]\frac{A}{G} = \frac{9}{7}[/tex]
Cross Multiply
[tex]7A = 9G[/tex]
Make A the subject
[tex]A = \frac{9}{7}G[/tex]
Substitute [tex]\frac{9}{7}G[/tex] for A in [tex]A = 20 + G[/tex]
[tex]\frac{9}{7}G = 20 + G[/tex]
Collect Like Terms
[tex]\frac{9}{7}G - G = 20[/tex]
Take LCM
[tex]\frac{9G - 7G}{7}= 20[/tex]
[tex]\frac{2G}{7}= 20[/tex]
Multiply through by 7
[tex]7 * \frac{2G}{7}= 20 * 7[/tex]
[tex]2G= 20 * 7[/tex]
Divide through by 2
[tex]\frac{2G}{2} = \frac{20 * 7}{2}[/tex]
[tex]G = \frac{20 * 7}{2}[/tex]
[tex]G = 10 * 7[/tex]
[tex]G = 70[/tex]
Substitute 70 for G in [tex]A = \frac{9}{7}G[/tex]
[tex]A = \frac{9}{7} * 70[/tex]
[tex]A = 9 * 10[/tex]
[tex]A = 90[/tex]
Use your knowledge of similar triangles to solve for x
9514 1404 393
Answer:
x = 10 2/3
Step-by-step explanation:
The ratios of corresponding sides are the same, so we have ...
x/8 = 8/6
x = 8·(8/6) = 64/6
x = 10 2/3
Write an inequality for the graph below
Answer:
y ≤ -4x - 3
Step-by-step explanation:
First identify the line itself by using point slope [y - y1 = m(x - x1) ] given two points or find the slope by finding the rise of the line over the run [m = ∆y/∆x ] [∆ = change/difference]. Because you are already given the y-intercept, using the form y = mx + b, the y-intercept is -3 because that is where the line intersects the y axis or where x = 0 so b = -3.
Now from -3, you can tell that when you go 1 across, the line goes down 4 units so the slope or m must be -4. Because it goes from -3 to -7, that is a change of -4. This means the line is y = -4x - 3.
Because there is a solid line, and a shade (thought of as the y value) under the line, you will replace = [equal sign] with the ≤ [less than or equal sign]. Therefore the answer is y ≤ -4x - 3
What is the inequality? Will give brainliest.
Answer:
-8
Step-by-step explanation:
Create an expression that would represent the area of the triangle
Answer:
96cm
Step-by-step explanation:
A=1/2bxh (Area=BasexHeight) is the formula to find it.
A=1/2x192
A=96
Help needed! Will mark brainliest!!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?
Answer:
3
Step-by-step explanation:
let the other number be x
3x-x=6
2x=6
x=6÷2
x=3
therefore the numbers are 9&3
answer:
3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3
i hope this helps!! ♡
helpp me asapppppppp
Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?
Answer:
Total possibilities = 16
Probability of a dime of the first draw is 10/16 = 5/8
Probability of a penny on the second draw = 1/15
Probability of both = 5/8 * 1/15 = 1/24
If point A is located at (-12, 6) on a coordinate plane, and point B is located at (4, 6), what is the distance between the two points? *
Answer:
the answer is (7,5) (5,5)
What is the approximate circumference of a circle with the diameter of 9
Answer:
9pi
Step-by-step explanation:
circumference is 2(pi)(r) or diameter(pi)
please help this is 95% of my grade
Answer:
Part 1:
Domain= {2,3,8,9}
Range = {7,9,14}
Part 2: Yes it is not a function
Step-by-step explanation:
Domain is the first number
Range is the second.
Domain= {2,3,8,9}
Range = {7,9,14} ( Notice that 14 is noted twice so just put it as once and this is not part of the answer)
Function: Is any of the domain numbers the same: Answer Yes it's a function.
What is the solution to the following inequality?
-82 ≤ 5v + 3
Answer:
v ≥ -17
Step-by-step explanation:
-82 ≤ 5v + 3
-82 - 3 ≤ 5v
5v ≥ -85
v ≥ -17
This question is worth 100 points please answer now. Algebra 2. I will mark you brainliest.
Show all work to identify the asymptotes and zero of the function f of x equals 4 x over quantity x squared minus 16.
Answer:
The vertical asymptotes occur at x = 4 and x = -4
The zero of the function is (0, 0)
Step-by-step explanation:
The given function is [tex]f(x) = \dfrac{4\cdot x}{x^2 - 16}[/tex]
Therefore, we have;
[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = \dfrac{4\cdot x}{(x - 4) \cdot (x + 4)}[/tex]
The asymptote is given at the value of x for which the denominator = 0, therefore, the asymptote are the values of x that make the denominator of the equation equal to zero, which are given as follows
For the asymptote, the denominator = x² - 16 = (x - 4)·(x + 4) = 0
Therefore, the vertical asymptotes are the lines x = 4 and x = -4.
The zero of the function is given as follows;
[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = 0[/tex]
Therefore, 4·x = (x - 4)·(x + 4) × 0 = 0
x = 0/4 = 0
Therefore, when f(x) = 0, x = 0 and the zero of the function = (0, 0).
Select all of the symbols that would make the comparison true.
-7_4
The histogram shows the duration, in minutes, of movies in theaters. A graph shows number of minutes labeled 84 to 147 on the horizontal axis and number of movies on the vertical axis. 2 moves are 84 to 91 minutes. 4 moves are 91 to 98 minutes. 5 movies are 98 to 105 minutes. 4 movies are 105 to 112 minutes. 3 movies are 112 to 119 minutes. 3 movies are 119 to 126 minutes. 2 movies are 126 to 133 minutes. 2 movies are 133 to 140 minutes. What relationship between the median and mean is shown by the histogram? The mean is less than the median. The median is less than the mean. The mean is equal to the median. The median and mean cannot be compared from a histogram.
The relationship between the median and mean shown by the histogram is; The median is less than the mean.
How to Interpret Histograms?From the given histogram, we see that it has a lot of its data on the left side.
Now, since the histogram has a lot of its' data to the right side, then we can say that it's skewed to the right. However, when the histogram is skewed to the right, it denotes that the mean will be more than the median.
Thus, we can conclude that the median is less than the mean.
Read more about Histograms at; https://brainly.com/question/2962546
#SPJ2
Answer:
b
Step-by-step explanation:
Convert 6.1x10^4 into standard form ASAP!
Answer:
= 61000
Step-by-step explanation:
Move the decimal place 4 places to the right
61000
Answer:
61,000
Step-by-step explanation: Ive studied this in middle school
Can someone explain to me how to get the answer:
-3 |2d| = 12
-3×2d=12
-6d=12
d=12÷(-6)
then d= -2Hope this helps.
Mr. Jacobs wants to save over $3,400 for a car. He has a savings account balance of $800 and will make equal weekly deposits for the next 25 weeks.
How much money should Mr. Jacobs deposit each week?
Answer:
64$
Step-by-step explanation:
The number of students increased by 25% between last year and this year. Last year there were 280 students.
Answer:
11.2
Step-by-step explanation:
What is the equation, in point-slope form, for the line with a SLOPE of -2 that passes through the point of (1,-4)?
Answer:
y=-2x+4
Step-by-step explanation:
Miguel Cabrera had a batting average of 0.33 last season.Mike trout had a batting average of 0.326 during the same season. Who had the higher batting average
Answer:
Miguel cabrera
Step-by-step explanation:
Given that :
Miguel cabrera's batting average = 0.33
Mike trout's batting average = 0.326
The average for both players was obtained during the same season:
Hence. Comparing their respective averages,
0.33 = 0.330
0.330 > 0.326
Hence, Miguel Cabrera's batting average is higher than that of Mike trout
An order is written for 1200 adult weight 164 pounds and is 5/9 all with a BSA of 1.9 m to the physician ordered o n c o v i n 2 mg / M2 for chemotherapy treatment of a malignant tumor. Oncovin is supplied as 1 mg/ml. What volume should the patient receive per dose?
Answer:
The volume per dose that the patient should receive is 3.8 ml
Step-by-step explanation:
The physician ordered oncovin 2 mg/m² for chemotherapy treatment of a malignant tumor.
The adult's BSA (Body surface area) = 1.9m²
Hence, the amount of oncovin needed based on his body weight is:
2mg/1 m² = x mg/1.9m²
Cross Multiply
x mg = 2mg × 1.9
x = 3.8mg
We are told , oncovin is supplied:1 mg/ml
Hence:
This means
1 mg = 1 ml
3.8 mg = x ml
Cross Multiply
x ml = 3.8 ml
The volume per dose that the patient should receive is 3.8 ml
How are Ratios,rates and unit rates used to solve problems?
Answer:
hope u understand
Step-by-step explanation:
Unit rates can conveniently be multiplied by any desired number in order to answer questions about differently scaled questions. E.g. If three marbles cost 30 cents, how much will eleven marbles cost?
A unit rate is a ratio such as 30 cents : 3 marbles = 10 cents per (1) marble, after doing the division.
Answer:
ratios, rates, and unit rates can be used to solve how much of something there is compared to another thing. Ex: There are 3 times the amount of apples compared to oranges. How many apples are there if you have 2 oranges? For a ratio, you would make it 3:1. Then substitute the 1 for 2. For a rate, you would make it 3 apples per oranges. Then do the same thing you would do for the ratio. Unit rates work the same way.
Step-by-step explanation:
sorry if this isn't the answer you were hoping for, but I tried
The price of Stock A at 9 A.M. was $12.98. Since then the price has been increasing at the rate of $0.07 each hour. At noon the price of Stock B rates continue, in how many hours will the prices of the two stocks be that same?
If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?
Answer:
D: AT = OG
Step-by-step explanation:
I just took this quiz so that's how I know
A manufacturer needs to pay $300 to start making a certain new product. Besides the initial costs of $300, this product will also cost $18 per unit. The manufacturer wants to write an inequality to determine when the average cost per unit will be $24 or less.
Which inequality determines how many units (x) of the product need to be produced for the average cost to be $24 or less?
Answer:
[tex]\displaystyle \frac{300+18x}{x}\le 24[/tex]
Step-by-step explanation:
Average Cost
Making a certain new product costs $300 plus $18 per product.
The total cost for x products is given by:
300 + 18x
To get the average cost, we divide the total cost by the number of products manufactured:
[tex]\displaystyle A=\frac{300+18x}{x}[/tex]
If the manufacturer wants to keep the average cost at $24 or less:
[tex]\mathbf{\displaystyle \frac{300+18x}{x}\le 24}[/tex]
This is the required inequality
Help me plz!!!!!!!!!!!!!!!!!!
Answer:
17.3 repeating
Step-by-step explanation:
let me know if you need the steps
Answer:
52/3 or 17 whole number 1/3
Hellppppp plzzz I’m bad at math-
A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $75 per hour. Write a linear model that represents the total cost C of recording an album as a function of studio time(in hours). Use the variable t to represent the number of hours the recording studio is used
Answer:
C=$50+$75×T
Step-by-step explanation:
$50 is the amount charged to record an album + 75 amount charged per hour ×T which is how much hours you are going to record an audio.
Plz help
Simplify 6(x + 4)
Step-by-step explanation:
Given
6( x + 4)
= 6x + 24
Hope it helps :)❤
Final Answer: [tex]6x + 24[/tex]
Steps/Reasons:
Question: Simplify [tex]6(x + 4)[/tex]
Step 1: Expand by distributing the terms.
[tex]6x+ 6[/tex] × [tex]4[/tex]
Step 2: Simplify [tex]6[/tex] × [tex]4[/tex] to [tex]24[/tex].
[tex]6x + 24[/tex]
~I hope I helped you :)~