The product of (7x - 5)(6x - 4) is 42x^2 - 58x + 20.
First, distribute the first term of the first polynomial (7x) to each term in the second polynomial (6x - 4):
7x × 6x = 42x²
7x × (-4) = -28x
Next, distribute the second term of the first polynomial (-5) to each term in the second polynomial (6x - 4):
-5 × 6x = -30x
-5 × (-4) = 20
Now, combine the like terms:
42x² - 28x - 30x + 20
Simplify the expression:
42x² - 58x + 20
Therefore, the product of (7x - 5)(6x - 4) is 42x^2 - 58x + 20.
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What is the 24th term of -21, -14,-7,0,7,…
Answer:
140
If that's wrong, try 147
Step-by-step explanation:
With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):
\(y=7x-28\\\),
where our m (slope) is 7, and our b (y-intercept) is -28.
If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.
Hope this helps!
A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
Help please. Anyone good at math?
Answer:
m∠x = 47°
Step-by-step explanation:
The given shape is a triangle.
Sum of interior angles of the triangle is 180,
x + 102 + 31 = 180
x + 133 = 180
x = 180 - 133
m∠x = 47°
Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
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The sum of two numbers is 14 one number is two less than three times the other. find the numbers
Answer:
The two numbers are 4 and 10
Step-by-step explanation:
give me a thanks bro
What integer value does point D represents
Answer
Step-by-step explanation:
its 3
Explain why it is important to have a good credit history.
Answer:
A good credit score is used for more than just getting a credit card or a loan. Credit scores demonstrate your history of paying your debts to entities that loan you money. Due to extending themselves beyond their means, many people are not able to pay their debts
PLS I NEED HELP!!! What is the equivalent Celsius temperature to 120 degrees Fahrenheit? Rearrange and use the formula F = (9/5)C + 32. ( AND PLS PUT THE WORK U DID HERE)
Answer:
49.8 degrees celcius
Step-by-step explanation:
help me .................
Answer:
The answer is 6 and 1/12 yards :]
multipy (2c-1) (7c-5)
Answer:
2.8 or 2 4/5
Step-by-step explanation:
2c*7c= 14c
1*5= 5
14c/5=
Answer:
14c^2 - 17c + 5
Step-by-step explanation:
hope to get a brainliest hope you the bsat on it have a good day:)
Here is a balanced hangar. A circle has a mass of 3 grams and a square has a mass of 2 grams. Which is the mass of a triangle? 3 grams. 7/5grams 9/6 11 grams
Answer:
Step-by-step explanation:
Givens
Circle: 3 grams Number: 1 right hand side Number LHS: 2
Square: 2 grams Number: 2 Number LHS: 5
Triangle: x Number: 5 Number LHS: 2
Formula
Mass RHS = Mass LHS
Solution
3*1 + 2*2 + 5x = 3*2 + 5*2 + 2*x Combine
3 + 2 + 5x = 6 + 10 + 2x
5 + 5x = 16 + 2x Subtract 5 from both sides
5-5+5x = 16-5 + 2x Combine
5x = 11 + 2x Subtract 2x from both sides
3x = 11 Divide by 3
x = 11/3
As you can see, I'm not getting any of the answers that you have provided. Ask your teacher how it was done. (The method used is correct).
Write the equation of the line graphed below in Slope-Intercept and Point-Slope Form. Do not use the y-intercept in Point-Slope Form.
Graph below. Will give brainliest
Answer:
Point-slope form: y-3=-1(x-2)
Slope-intercept form: y=-x+5
The equation of the line will be y = - x + 5
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
The slope and the equation of the line will be given as:-
Point-slope form:
y - 2 = - 1 ( x - 3 )
Slope-intercept form:
y = - x + 5
Therefore the equation of the line will be y = - x + 5
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Fill in the missing value:
Answer:
it's answer is C. 13
we can get the answer by using Pythagoras theorem.
Answer:
The answer is A
Step-by-step explanation:
Solve the equation.
y + 3 = -y + 9
y= 1
y=3
y = 6
y = 9
Answer: y=3
Step-by-step explanation:
To solve the equation, we want to get the same terms onto the same side and solve.
y+3=-y+9 [add y on both sides]
2y+3=9 [subtract 3 on both sides]
2y=6 [divide 2 on both sides]
y=3
Answer:
y=3
Step-by-step explanation:
Eliminate the parameter in the equations x = t^1/3 and y = t – 4. How can the rectangular equation be described?
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.
Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.
If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.
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Jessica bought 18 packs of cola. Each pack had 8 cans. She drank 6 of the cans. How many cans are left?
Answer:
multiple 18 x 8, then minus 6 from your answer
Answer:
1pack=6cans
18packs=x
=108canspacks=1xpack
Dividing both sides by 1 pack
X=108cans
Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions.
Answer:
Given two linearly independent vectors w and z
We want -w-z
Hence apply a negative gradient to w
w=-<-5,3> =<5,-3>
So <5,-3>-<1,4> = (<5-1>,<-3-4>)
The answer is <4,-7>
Can someone please help me with this question? Thanks.
Answer:
f(x) = 3 + 5x
Step-by-step explanation:
For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.
This means that f(0) = 3.
And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.
Hence, we will create the function equation:
f(x) = 3 + 5x
Cheers.
(HELP!! GEOMETRY)
Graph the image of this triangle after a dilation with a scale factor of 3 centered at the origin
use the polygon tool to graph the triangle
Graph of the new triangle is attached.
What is Dilation?Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors. For Example: A circle with radius 10 unit is reduced to a circle of radius 5 unit.
Given, triangle whose vertices are
(0,0), (3,3), and (3,-1)
If the scale factor is 3, then every coordinate point of the original triangle is multiplied by the scale factor 3.
Vertices of triangle after dilation with scale factor of 3:
(0,0), (9,9) and (9,-3)
Hence, the new coordinates for the triangle after dilation are
(0,0), (9,9) and (9,-3).
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HELP ASAP
50 POINTS.......
+BRAINLIEST
Answer:
The answer is $12 and Jackie washed 15 cars.
what is the perimeter of the following shapes
(a) 1.4 cm 0.7 cm 0.7 cm
The perimeter of each shape is obtained adding all of their outer side lengths.
How to obtain the perimeter of the polygon?The perimeter of a polygon is composed by the sum of the lengths of the outer edges of the figure.
Hence, for each polygon, you must identify the outer side lengths, and then add them.
Missing InformationThe problem is incomplete, hence the standard procedure to find the polygon of a shape was presented.
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The amount of cashews in a mixture of nuts is 3 times the amount of almonds. Let C represent the amount of cashews in the mixture. If there are 1 1/2 lb. of almonds in the number mixture, how many pounds of cashews are there?
Answer:
4.5 lb
Step-by-step explanation:
1.5*3 is 4.5
Kiera had 0.69 grams of pepper. Then she used 0.1 grams of the pepper to make some scrambled eggs. How much pepper does Kiera have left?
Answer:
0.68
Step-by-step explanation:
0.69-0.1=0.68
Answer:
0.59 g
Step-by-step explanation:
0.69 g - 0.1 g = 0.59 g
Remember that 0.1 is the same as 0.10
69 hundredths minus 10 hundredths equals 59 hundredths
P.S.
If she had used 0.01 g, then she'd have 0.58 g left, but this is not our question.
How many meters is in 270 centimeters
Answer:2.7
Step-by-step explanation:
Formula, divide the value in centimeters by 100 so 1 meter equals 100 centimeters
So 270 centimeters = 270/100 = 2.7
HELPPPPPPPP NOWWWWWWW
Zack has 13 chains at 5 links each. He wants to combine them into a long chain by cutting and welding the fewest number of links. How many different links must be cut a welded.
Answer:
3
Step-by-step explanation:
There a 5 chains (each with 3 links). We take one chain and cut all three links. Now we are left with only four chains. This requires only 3 joints. Exactly the number of links I have. Therefore, the lowest number of cuts is three.
The number of different links must be cut a welded should be considered as the 3.
Calculation of the number of different links:Since
Zack has 13 chains at 5 links each. He wants to combine them
So here we considered only one chain and then cut off all 3 links
So the remaining should be four chains and it needs only 3 joints.
hence, The number of different links must be cut a welded should be considered as the 3.
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Un 80% de 500, ¿es lo mismo que el 50% del 30% de 500?
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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Help with this geometry question please!
Answer
Q. 37) E. 50
Q. 38) A. 28
Step-by-step explanation:
For 37) the answer is E . 50
While in 38) the values of the angles are wrong .
Angle QPR must be 36 and angle RSQ must be 64 . The answer is A. 28
2 log5 x=log5 4+log5 9
The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.
To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.
Using the properties of logarithms, we can rewrite the equation as follows:
2 log₅ x = log₅ (4 * 9)
Next, we simplify the right side:
2 log₅ x = log₅ (36)
Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:
x² = 36
Taking the square root of both sides, we get:
x = √36
Since the square root of 36 can be either positive or negative, we have two possible solutions:
x = 6
It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.
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Find and simplify the difference quotient
f(x) = -x²+2x+5
f(x+h)-f(x)
————————
h
w an example
=
Get more help
f(x+h)-f(x)
——————
h
h#0 for the given function
Given difference quotient is f(x) = -x²+2x+5.
Simplified version is (f(x + h) - f(x))/h = 1.
What is difference quotient?If f(x) = x - 5, then
f(h) = h - 5
f(x + h) = (x + h) - 5
(f(x + h) - f(x))/h = (((x + h) - 5) - (x - 5))/h
(f(x + h) - f(x))/h = (x + h - 5 - x + 5)/h
(f(x + h) - f(x))/h = h/h
(f(x + h) - f(x))/h = 1
since h ≠ 0.
The average rate of change of the function over an interval is measured by the difference quotient (in this case, an interval of length h). The instantaneous rate of change is hence the limit of the difference quotient (i.e., the derivative).
The slope of secant lines can be calculated using the difference quotient. Almost identical to a tangent line, a secant line traverses at least two points on a function.
That equation is known as a difference quotient because both the numerator and denominator are differences.
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