Answer:
Given,
p (x)=2x-3
g (x)=6x+4
p (x)×g (x)=?
Step-by-step explanation:
p (x)×g (x)=(2x-3)(6x+4)
=2x (6x+4)-3 (6x+4)
=12x^2+8x-18x-12
=12x^2-10x-12
what is the area , in square feet , of the shaded part of the rectangle below?
Answer:
208 square feet
Step-by-step explanation:
Area (shaded) = Area (rectangle) - Area(triangle)
= (17 x 16) - 1/2(16 x 8)
= 16 (17 - 4)
= 16 (13)
= 208 square feet
Find the length of the rectangle.
The area of the rectangle is fifty-six square miles. The width of the rectangle is seven miles. The length of the rectangle is L.
A. 21 mi
B. 8 mi
C. 30 mi
D. 4 mi
Answer:
B
Step-by-step explanation:
If the area of the whole rectangle is 56 square miles then just divide that by the width (7). 56 / 7 = 8. Hope this helps!
the lager of two numbers is 10 less than twice the smaller number if te sum of the two is 38 find the largest number
Answer:
22
Step-by-step explanation:
a=larger number b= smaller number
a=2b-10, a+b=38
2b-10+b=38
3b=48
3b/3=48/3
b=16
a+16=38
a=38-16
a=22
Rewrite 6/5 as a mixed number.
Answer:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 6 by 5 and keep only what is to the left of the decimal point:
6 / 5 = 1.2000 = 1
Step 2 - Find New Numerator
the answer from Step 1 by the denominator and deduct that from the original numerator.
6 - (5 x 1) = 1
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 6/5 as a mixed number is:
1 1/5
Step-by-step explanation:
Finally, it's the weekend! While out with friends, you return a pair of shoes and get $52.95 then you and your 2 friends go out for tacos, and you pay $35.86 for everyone's meals. How much money do you have in your account now?
Evaluate the expression when x = 4
-4x + 1.5x - 2.5 - 2x -6.5
A simple algebra equation!
You have to replace each x with 4, so the equation would look like this:
-4·4+1.5·4-2.5-2·4-6.5
Evaluate the terms, you get:
-16+6-2.5-8-6.5
Then you add and subtract where needed:
-10-16 = -27
And that's the final answer!
ANSWER: 27
I’m working on a fireworks portfolio and I need someone to check my work. Does this look good or am I way off. Thank you best answer gets brainliest
1) Height of local building = 10 feet
2) Intial velocity of a fireworks = 100 ft/sec
3) h(t) = -16t^2 + h
Answer: everything looks correct from my side
Step-by-step explanation:
Write an equation that can be used to find the value of x
Answer:
(180-110)/7
Step-by-step explanation:
angles on a straight line add up to 180
49 7 because (-7) (-7) = -49
Answer:
nope ummm a negative number times another negative is positive. whats your question tho?
can someone pls explain how to answer this?
Answer:
HOPE THIS HELPS
Step-by-step explanation:
You need to first plot the points on the graph.
Since, it says you need to reflect across x axis, you need same number of square units.
For example, P has the coordinates( -2,3 ). -2 lies on the x axis, so the point doesn't go neither left nor right. It is 3 squares above the x axis, so the reflected point should be 3 squares below the x axis. Likewise, you can do the other points.
Hope it helps :)
help plz! which one is it
Answer:
A
Step-by-step explanation:
We have the graph of the function f(x).
We want to determine which of the given is true of the graph from [tex]x=g[/tex] to [tex]x=\infty[/tex].
So, essentially, we are focusing on the last curve (see image below).
First, since the curve is above the x-axis, the curve is positive.
Second, since the curve is curving upwards, this means that it must be increasing. Another way to think about this is to think about the slope of our curve. While we can't calculate the exact slope, the average slope will be positive, so our function is increasing.
So, our answer is A.
And we're done!
10x+3 and 3+10x *
A: Yes, they are equivalent
B: No, they're not equivalent
Answer:
Yes because of the commutative property
Answer:
A
Step-by-step explanation:
the order does not matter just the numbers and signs
which of the following is not a prime number answe quickly please !
Answer:
1,6,14,21, and 42 are not prime numbers of 42.
Step-by-step explanation:
42
21x2(done)
7(done)x3(done)
2, 3, and 7 are prime numbers of 42
Answer:
6
Step-by-step explanation:
because prime numbers are numbers with two factors one and the number itself and 6 is having more than two factors.
pls give me the correct answer and solution thank you
Answer:
C 13
Step-by-step explanation:
2 right-angled triangles. so, Pythagoras applies for both.
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
starting with the small triangle we have
5² = 3² + x-part²
x-part² = 5² - 3² = 25 - 9 = 16
x-part = 4 cm
the markers indicate that x-part as the third side of the small triangle is exactly as long as the other part of x.
that means
x = 2 × x-part = 2 × 4 = 8 cm
for the large triangle we then get
y² = x² + 15² = 8² + 225 = 64 + 225 = 289
y = 17 cm
and so,
y - x = 17 - 8 = 9
but that is not an answer option.
and now it dawned on me : x was not meant to be the whole third side of the large triangle. x is supposed to be only the upper part of that side, above the small triangle.
in essence, x is what I originally called "x-part".
so, the Pythagoras calculations remain basically the same, but we should name things differently like
5² = 3² + small-side²
small-side = 4 cm
x = small-side = 4 cm
long-side = 2 × small-side = 2 × 4 = 8 cm
y² = long-side² + 15² = 8² + 15² = 64 + 225 = 289
y = 17 cm
and the actual y - x = 17 - 4 = 13 cm
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
Answer:
Step-by-step explanation:
The first probability of it being red = 5/11
The key to the question is that you replace the red marble you took out. So there are still 5 red marbles.
You still have a 5/11 chance of getting a red marble.
P(red + red) = 5/11 * 5/11
Answer
P(red + red) = 25 / 121
Write an equation in slope intercept form that passes through the point (-4,2) and is perpendicular to y=2x+2.
Answer:
Step-by-step explanation
Perpendicular lines have slopes that are negative reciprocals of one another.
so, in this case, the given slope is 2.
The negative reciprocal of that would be -1/2.
so far, our equation looks like: y=-1/2x+b
now, take the point given to us, (-4,2) and plug it into the y and x values.
2= -1/2(-4) +b
2= b+2
b=0
Our y intercept is zero, so our final answer will be:
[tex]y=-\frac{1}{2} x[/tex]
PLSSS HELPPPP ASAP
Keiko stopped and bought 13.9 gallons of gas at a cost of $3.85 per gallon. How much did Keiko pay for the gas?
A. $53.52
B: $59.77
C. $535.15
D. 597.70
Answer:
A
Step-by-step explanation:
Multiply 13.9 and 3.85
Answer:
IS A
Step-by-step explanation:
youre welcome
PLEASE GIVE ANSWER STEP BY STEP
Answer:
Refer to the above attachments....
Hope it helps you....
Answer:
Thanks for the free points.......xd
Monica has $20. she needs to buy a gallon of milk that costs $2.50. she also wants to buy yogurt, which costs $1.20 a cup. which inequality can you use to find the number of cups of yogurt monica can buy? 1.20x 2.5 greater-than-or-equal-to 20 1.20x 2.5 less-than-or-equal-to 20 1.20x 2.5 < 20 1.20x 2.5 > 20
The inequality which is used to find the number of cups of yogurt Monica can buy is,
[tex]1.20x+2.5\leq20[/tex]
What is the inequality equation?Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
Monica needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Let suppose the number of cups of yogurt bought by Monica is x.
As she has only $20. Thus, the inequality expression which can be used for this condition is,
[tex]1.20x+2.5\leq20[/tex]
Solve the above equation and find the value of x,
[tex]1.20x\leq20-2.5\\1.20x\leq17.5[/tex]
Divide both side with 1.20,
[tex]x\leq\dfrac{17.5}{1.20}\\x\leq14.58\overline3[/tex]
Hence, the number of cups she can Monica is 14.
Thus, the inequality which is used to find the number of cups of yogurt Monica can buy is,
[tex]1.20x+2.5\leq20[/tex]
Learn more about the inequality equation here:
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Answer:
b
Step-by-step explanation:
this and one more question
f(x) = 2(x - 3) + 4
For finding f(-8) just substitute the value of x as -8
f(-8) = 2{(-8) - 3} + 4
= 2{-11} + 4
= -22 + 4
= -18
Answer:
-18
Step-by-step explanation:
substitute x with -8
solve normally
A student made the table to find 40% of 130.
Which expression can be used find 40% of 130?
26x5
26x4
26x3
26x2
Its timed plssss help!!!
Answer:
26 x 2
Step-by-step explanation:
40% of 130 = 52
26 x 2 = 52
Answer: 26x2
Step-by-step explanation:
what is the range of this piecewise function
Answer as a compound inequality: [tex]-4 \le y < 2[/tex]
Answer in interval notation: [-4, 2)
=============================================
Explanation:
The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.
The lowest point occurs when y = -4. We include this value. So far we have [tex]y \ge -4[/tex] which is the same as [tex]-4 \le y[/tex]
The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that [tex]y < 2[/tex]
Combine [tex]-4 \le y[/tex] and [tex]y < 2[/tex] to get the compound inequality [tex]-4 \le y < 2[/tex]
This says y is between -4 and 2, including -4 but excluding 2.
To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.
HELPPPP
find value of x and y
i will give you brianliest!
Carlos took seven years to pay off his loan by making identical quarterly payments. the loan had a principal of $22,375 and 5.49% interest, compounded quarterly. carlos paid a total of $28,821.67. how much did carlos pay in service charges? round all dollar values to the nearest cent. a. $1,721.31 b. $4,725.36 c. $1,670.98 d. $6,446.67
The Carlos pay in service charges is $1721.3
We have given that the Carlos took seven years to pay off his loan by making identical quarterly payments.
The loan had a principal of $22,375 and 5.49% interest, compounded quarterly.
P=22375 and interest rate =5.49%
Carlos paid a total of $28,821.67.
We have to find how much did Carlos pay in service charges
First we find the monthly payment of the loan
What is the formula of monthly payment?The formula for monthly payment is,
[tex]M=\frac{amount}{discount}[/tex]
Discount factor
[tex]P=\frac{1-(1+i)^{-n}}{i} \\[/tex]
Where, Amount = $22,375 and r=0.0549 and compounded quarterly therefore n=4
[tex]i=r/n=0.0599/4[/tex]
i=0.0137
Time =7 years
[tex]n=4\times 7=28[/tex]
Now put all the values in above formula we get
[tex]P=\frac{1-(1+0.01372)^{-28}}{0.01372}\\\\P=\frac{1-(1+0.1372)^{-28}}{0.01372}\\\\P=\frac{1-0.6827}{0.01372}\\\\P=\frac{0.3172}{0.01372}\\\\P=23.11[/tex]
Monthly payment,
Use the value in the formula of monthly payment
[tex]M=\frac{22375}{23.1177}[/tex]
[tex]M=967.871[/tex]
The payment he has for for 7 years compounded quarterly that is for 28
Therefore the payment,
[tex]Payment= 967.871 \times 28 = $27100.39[/tex]
[tex]Service charges = Total payment - payment[/tex]
[tex]= $28,821.67 - $27100.39[/tex]
[tex]= $1721.27[/tex]
Therefore, Carlos pay in service charges is $1721.3
To learn more about the monthly payment visit:
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Answer:
a
Step-by-step explanation:
just took test on edge
11. Which of the following is the measure of ZQRS?
Calculate the perimeter of the semi-circle shown below. Use 3.14 to approximate n.
========================================================
Explanation:
A full circle of radius r has the circumference of
C = 2*pi*r
A semicircle will have us divide this value in half
2pi*r turns into pi*r
The curved distance along the top is roughly pi*r = pi*5 = 3.14*5 = 15.7 cm.
Add this onto the straight line distance along the bottom to arrive at 15.7+10 = 25.7 cm
1. Find the difference.
982.2 - 95.32
Answer: 886.88
Explanation: 982.2-95.32=886.88 you take one from the hundreds place and add it to the tens, then you take from the tens place then add it to the ones. Then you take the ones place and add one to the tenths place
How far is the
crab from the
sea level?
very far, but it can come to beaches as well
You work with a carpenter who asks you to cut trim board in the following lengths: 71/2 inches,
101/2 inches, 9 inches, and 51/2 inches. To do this using only one piece of trim board, how long
must the board be?
Length of board will be 32 1/2 inch.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
Length of board after cutting are;
7 1/2 inches, 10 1/2 inches, 9 inches, and 5 1/2 inches.
Now, Total length of board is calculated as sum of all cut lengths.
So, Total length of board = 7 1/2 +10 1/2 + 9 + 5 1/2
= 15/2 + 21/2 + 9 + 11/2
= 47/2 + 9
= 65/2
= 32 1/2
Thus, Length of board will be 32 1/2 inch.
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