Answer:
[tex]\displaystyle [7x - 2][3x + 7][/tex]
Step-by-step explanation:
Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the minus symbol because the B-value is 43, therefore 49 gets the plus symbol, leaving 6 with the minus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 + 43x - 14 \\ \\ [21x^2 - 6x] + [49x - 14] \\ 3x[7x - 2] + 7[7x - 2] \\ \\ \boxed{[7x - 2][3x + 7]}[/tex]
I am joyous to assist you at any time.
[tex]\\ \rm\rightarrowtail 21x^2+43x-14[/tex]
[tex]\\ \rm\rightarrowtail 21x^2+49x-6x-14[/tex]
[tex]\\ \rm\rightarrowtail 7x(3x+7)-2(3x+7)[/tex]
[tex]\\ \rm\rightarrowtail (7x-2)(3x+7)[/tex]
Done!
The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $351.00. What was it worth a year ago?
Answer:
$270
Step-by-step explanation:
130%/100%=$351/X
(351*100)/130=$270
A population of 75 foxes in a wildlife preserve triples in size every 13 years. the function y equals 75 times 3 superscript x , where x is the number of 13 -year periods, models the population growth. how many foxes will there be after 39 years?
Answer:
675 Foxes
Step-by-step explanation:
y=75*3x
39/13=3
y=75*3*3
y=75*9
y=675
Ms. Arlia is preparing a 80 milliliter vinegar solution to clean out the school’s Science sink. The mixture contains 60% vinegar, and the rest is filled with warm water. However, she quickly realizes that 90 milliliters is not enough, and the concentration of the mixture is too high. She adds water to her existing solution until the percentage of the new mixture is 15% vinegar. How many total milliliters of water did Ms. Arlia have in the mixture?
Answer:
1.3
Step-by-step explanation:
get it
Which is the pattern for factoring the difference of squares?
a. (x^2-y)^2
b. (x+y)(x+y)
c. (x-y)(x-y)
d. 2(x-y)
Answer:
D. 2(x-y)Step-by-step explanation:
d.
[tex]2(x - y) \\ 2x - 2y \\ [/tex]
HELP!! Rashida had 18 correct answers and 12 incorrect answers. What was Rashida's score? Each correct answer is worth 2 1/4 points, and each incorrect answer is worth -1/2 point.
Number of incorrect answers Rashida got = 12
Number of correct answers Rashida got = 18
Given :-
Points for each correct answer =
[tex] = 2 \frac{1}{4} [/tex]
Points for each incorrect answer =
[tex] = \frac{ - 1}{ \: \: \: 2} [/tex]
Points Rashida will get for her correct answers :-
[tex] = 2 \frac{1}{4} \times 18[/tex]
[tex] = \frac{(4 \times 2+ 1)}{4} \times 18[/tex]
[tex] = \frac{9}{4} \times 18[/tex]
[tex] = \frac{162}{4} [/tex]
[tex] = 40.5 \: points[/tex]
Points Rashida will get for her incorrect answer :-
[tex] = \frac{ - 1}{ \: \: \:2} \times 12[/tex]
[tex] = \frac{ - 12}{ \: \: \: \: \: 2} [/tex]
[tex] = - 6 \: points[/tex]
So , Rashida gets 40.5 points for her correct answer and -6 points for her incorrect answer .
Rashida's total score :-
[tex] = 40.5 + ( - 6)[/tex]
[tex] = 34.5 \: points[/tex]
Therefore , Rashida gets 34.5 points as her total score .
The overall score of Rashida will be 34.5 for the given exam.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Number of correct answers = 18
Points of correct answer = 2 1/4 = 9/4
Scores of correct answer = 18 × 9/4 = 40.5
Number of incorrect answers = 18
Scores of incorrect answer = 12 × (-1/2) = -6
Total score = 40.5 - 6 = 34.5
Hence "The overall score of Rashida will be 34.5 for the given exam".
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A farmer builds a fenced-in, rectangular pen for goats to clear brush from a section of land. The
pen has three sides of fencing because the width of the pen sits against the side of a barn.
If the farmer has 180 feet of fencing, what dimensions maximize the area of the pen?
a. 40 ft by 100 ft
b. 45 ft by 45 ft
c. 45 ft by 90 ft
d. 50 ft by 65ft
The dimension that maximize the are of the pen is 45 ft by 90 ft.
Area of a rectanglearea = lw
where
l = length
w= width
Therefore,
perimeter of a rectangle = 2(l + w)
The barn is occupying one part of the rectangle . Therefore,
perimeter = 2l + w
180 = 2l + w
w = 180 - 2l
area = lw
Therefore,
area = l(180 - 2l)
area = 180l - 2l²
To maximize area
l = -b / 2a
l = - (180) / 2 × -2
l = -180 / -4
l = 45 ft
Therefore,
w = 180 - 2(45)
w = 180 - 90
w = 90 ft
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3x - 5y = 15.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each
coordinate pair, and validated the points were on the line.
Work for Point 1
Work for Point 2
Work for Point 3
Work for Point 4
Answer:
[tex](0,-3)[/tex]
[tex](5,0)[/tex]
[tex](10,3)[/tex]
[tex](20,9)[/tex]
Step-by-step explanation:
Given
[tex]3x - 5y = 15[/tex]
Required
Form 4 pairs of (x,y) values
This question will be answered based on assumptions of x and y values;
Haven said that:
For point 1
Take x = 0
Substitute 0 for x in [tex]3x - 5y = 15[/tex]
[tex]3(0) -5y = 15[/tex]
[tex]-5y = 15[/tex]
Solve for y
[tex]y = 15/-5[/tex]
[tex]y = -3[/tex]
So; the first pair is:
[tex](0,-3)[/tex]
For point 2:
Take y = 0
Substitute 0 for y in [tex]3x - 5y = 15[/tex]
[tex]3x - 5(0) = 15[/tex]
[tex]3x = 15[/tex]
Solve for x
[tex]x = 15/3[/tex]
[tex]x = 5[/tex]
So, the pair is
[tex](5,0)[/tex]
For point 3:
Take x = 10
Substitute 10 for x in [tex]3x - 5y = 15[/tex]
[tex]3(10) - 5y = 15[/tex]
[tex]30 - 5y = 15[/tex]
Collect Like Terms
[tex]-5y = 15 - 30[/tex]
[tex]-5y = -15[/tex]
Solve for y
[tex]y = -15/-5[/tex]
[tex]y = 3[/tex]
So, the pair is:
[tex](10,3)[/tex]
For point 4:
Take y = 9
Substitute 9 for y in [tex]3x - 5y = 15[/tex]
[tex]3x - 5(9) = 15[/tex]
[tex]3x - 45 = 15[/tex]
Collect Like Terms
[tex]3x = 45 + 15[/tex]
[tex]3x = 60[/tex]
Solve for x
[tex]x = 60/3[/tex]
[tex]x = 20[/tex]
So, the pair is:
[tex](20,9)[/tex]
Answer:
the guy above me his answer is correct
Step-by-step explanation:
i got a A on my TGA
At Gina's Beading Boutique, 80% of the 70 beads on clearance are plastic. How many plastic beads are there on clearance?
Answer:
56
Step-by-step explanation:
1% of 70 is 0.7
0.7 x 80 is 56
ANYONE SMART AT MATH NEED HELP ON THIS
A bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 6/49, and Frank says that the probability will be 1/7. Who is correct? Explain and justify your answer by showing work.
---------------Is correct because___
Answer:
Frank is correct
Step-by-step explanation:
Because if the denominator was 49 then the numerator would be 7
1/7=1/7
1/7=7/49
7*7=49
7*1=7
7/49=1/7
Hope this helped.
A brainliest is always appreciated.
4
(17) Billy has a babysitting job where he works the exactly 23
hours every day. After 16 days, how many hours will Billy
have worked?
Answer: 368 hours
Step-by-step explanation:
if hes working 23 hours every day, he will have worked 16x23 = 368 hours in 16 days
Katy invests £14 000 in a savings account for 3 years.
The account pays simple interest at a rate of 1.5% per annum.
Calculate the amount in her savings account Katy will get at the end of the 3 years
Simple interest formula:
Total = start x ( 1 + rate x time )
Total = 14,000 x ( 1 + (0.015 x3))
Total = 14,000 x 1.045
Total = 14,630
Answer:
£14,630
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principal amountr = annual interest rate (as a decimal)t = time (in years)Given:
P = £14,000r = 1.5% = 0.015t = 3 years⇒ A = 14000(1 + 0.015 · 3)
⇒ A = 14000(1.045)
⇒ A = £14,630
Explain how to estimate the length of an object.
Answer:
To measure the length of an object, choose the correct tool for measuring it, like a ruler for small, flat items, or a measuring tape for items with curves. Then, line up the zero mark on your measuring tool with one end of the object.
3/5÷12/7 step by step simply pls
Answer:
7/20
Step-by-step explanation:
[tex]\frac{3}{5}\div \frac{12}{7}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{3}{5}\times \frac{7}{12}[/tex]
[tex]Cancel\;common\;factor[/tex]
[tex]=\frac{1}{5}\times \frac{7}{4}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{7}{5\times \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\times \:4=20[/tex]
[tex]=\frac{7}{20}[/tex]
Answer = 7/20
~Learn with Lenvy~
800x40 explanation pls
Answer:
800x40=32000
Step-by-step explanation:
Basically its 800 40 times.
Answer:
32,000
Step-by-step explanation:
First put 800 over 40
Second, multiply the 3rd zero by the first zero of 40
Multiply the 2nd zero by the same zero of 40
Multiply 8 by 4 and the result should be 800
Then you multiply 800 by 4.
0 x 4 is 0
0 x 4 is 0
8 x 4 is 32
(Make sure you add the zero from 40)
Put it together and you get 32,000
A gym charges a membership fee of $10 per month plus a $100 application fee. Which equation best models the total cost for a gym membership for x months?
Answer:
10(m)+100
Step-by-step explanation:
$10 is multiplied by m becuase that price depends on how many months you want the memberhsip, plus the $100 for applying.
I hope I helped <33
if a meter has 100 centimeters what is the ratio of 15 cm to 2 m
?
the answer is 15cm (pls mark brainlest)
Answer:
3:40
Step-by-step explanation:
We need both measurements in the same units.
1 m = 100 cm
2 m = 2 × 1 m = 2 × 100 cm = 200 cm
15 cm to 2 m = 15 cm to 200 m
Divide both numbers in the ratio by 5 cm.
15 cm to 200 cm = 3:40
Jillian was asked to translate the expression 9 n into words. She wrote "a number increased by nine. " Which best describes the accuracy of Jillian’s answer? It is incorrect. The variable would come first in the expression "a number" (n) "increased by" ( ) "nine" (9). It is incorrect. The phrase "increased by" refers to the inequality symbol "greater than" (>), not addition. It is correct. A number increased by nine (n 9) is the same as nine increased by a number (9 n). It is incorrect. A number increased by nine refers to a multiplication expression (n times 9).
A number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.
What is the pharse in mathematics?
A mathematical phrase is a set of words or a combination of words and numbers that can be written as a mathematical expression.
Given
Jillian was asked to translate the expression 9 + n into words.
She wrote "a number increased by nine.
The expresion can be written into the two formate which is;
(n+9) and (9+n)
Hence, a number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.
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Which choices contain equivalent statements? Check all that apply.
Answer:
A C and E
Step-by-step explanation:
Edge
The choices that contain equivalent statements are:
a) ln 3x = 6 → 3x = e⁶
c) log 4x = 8 → 4x = 10⁸
e) 5.6554 = 10ˣ → log 5.6554 = x
To determine which choices contain equivalent statements, let's analyze each option one by one:
a) ln 3x = 6 → 3x = e⁶
This statement is true. It represents the inverse relationship between the natural logarithm (ln) and the exponential function with base e. Taking the exponential of both sides of the equation allows us to isolate the variable.
b) log 3x = 9 → 9x = 10³
This statement is not true. It seems to confuse the base of the logarithm. If the logarithm is not specified with a base, it is usually assumed to be base 10 (log base 10). In this case, the correct equivalent statement would be 3x = 10⁹.
c) log 4x = 8 → 4x = 10⁸
This statement is true. Similar to the previous option, assuming a base 10 logarithm (log base 10), the equivalent statement would be 4x = 10⁸.
d) 0.577 = e⁵ˣ → ln 5 = x / 0.577
This statement is not true. The equation given at the beginning, 0.577 = e⁵ˣ, cannot be transformed into the second equation using the properties of logarithms or exponentials. The two statements are unrelated.
e) 5.6554 = 10ˣ → log 5.6554 = x
This statement is true. It correctly represents the relationship between the logarithm and exponential functions. By taking the logarithm (base 10) of both sides of the equation, we can solve for x.
In summary, the choices that contain equivalent statements are:
a) ln 3x = 6 → 3x = e⁶
c) log 4x = 8 → 4x = 10⁸
e) 5.6554 = 10ˣ → log 5.6554 = x
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The table shows the heights of three different rock formations that Jeremy is considering. Rewrite the equation for the line of best fit. Then use the equation to predict how long it will take to climb and come back down the three rock formations. Type the correct answer in each box. Round your answers to the nearest hundredth.
Answer:
40
80
160
Step-by-step explanation:
A scale drawing for a backyard is shown below. In the drawing, 3 cm represents 4 m. Assuming the patio is rectangular, find the area of the real patio. 18 cm 9 cm Patio 3 cm Lawn → 3 cm
Answer:
288m^2
Step-by-step explanation:
ratio is 4000/3, though the thousand does not matter because we can just exchange units
18*4/3=24
24 meters
9*4/3=12
12 meters
24*12=288
drag each tile to the correct box not all tiles will be used. consider the expression
3x+6 2x
-------- + ----------
x²- x- 6 x²+ x- 12
please help
Answer:
7->6->1->5->3
Step-by-step explanation:
The answer us 7->6->1->5->3.
What is the approximate value of q in the equation below? q log subscript 2 baseline 6 = 2 q 2 –1.613 –1.522 0.585 3.079
The approximate value of q in the logarithmic equation is 0.585.
The given logarithmic equation is [tex]\rm q+log_2(6)=2q+2[/tex]
It is required to find the value of 'q'.
What is Logarithm?
It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have a logarithmic equation:
[tex]\rm q+log_2(6)=2q+2[/tex]
After simplification the above equation we get;
[tex]\rm q+log_2(6)=2q+2\\\rm q-2q=-log_2(6)+2\\\rm -q=-log_2(6)+2\\[/tex].....(1)
From the logarithmic table, we get the value of [tex]\rm log_2(6)[/tex]
[tex]\rm log_2(6)=2.5849[/tex]
Putting this value in equation (1), we get:
[tex]\rm -q=-log_2(6)+2\\\rm -q=-2.5849+2\\\rm -q=-0.5849\\\rm q=0.5849 \approx 0.585\\[/tex]
Thus, the approximate value of q in the logarithmic equation is 0.585.
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Enter a numerical expression that represents the sum of four squared and thirty three
Answer:
33+4^2
Step-by-step explanation:
Expression: Does not require an equal sign.
Sum: addition of
four squared: 4^2
thirty three: 33
The correct numerical expression that represents the sum of four squared and thirty three is,
⇒ 4² + 33
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''the sum of four squared and thirty three''
Now, We get;
The correct numerical expression that represents the sum of four squared and thirty three is,
⇒ 4² + 33
Thus, The correct numerical expression that represents the sum of four squared and thirty three is,
⇒ 4² + 33
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Please help me solve this I need some help
Answer:
f = 8
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 2f - 10 = 6Add 10 to each side, so it now looks like this: 2f = 16Divide each side by 2 to cancel out the 2 next to f. It should now look like this: f = 8I hope this helps!
Answer:
f=8
Step-by-step explanation:
Step 1: Distribute
2(f) + 2(-5) = 6
2f - 10 = 6
Step 2: Add 10 to both sides to get 2f alone
2f = 16
Step 3: Divide both sides by 2 to get f alone
f = 8
Choose the student who correctly used substitution to determine if 19 was a solution to the equation. 6 m = 24. 6 19 = 24. 24 = 24. 19 is a solution. 6 m = 24. 6 19 = 24. 25 not-equals 24. 19 is not a solution. 6 m = 24. 6 24 = 24. 30 not-equals 24. 19 is not a solution. 6 m = 24. 6 19 = 24. 25 = 24. 19 is a solution.
Answer:
it is Juan’s work I just did the answer it works
Step-by-step explanation:
A local school has clubs. The number of students in each club is shown in the bar graph below. Use this bar graph to answer the questions.
(a) Which club has the most students?
Drama
Glee
Debate
French
Math
Chess
How many students does that club have?
(b) How many more students are in the Glee Club than in the Debate Club?
(c) How many clubs have fewer than 6 students?
answer fast for brainliest!!! What key words would tell you it's a two step problem? (SELECT ALL)
Question 2 options:
Total Bill
Amount of Savings
Sale Price
Final Cost
Price with Tax
Discount
Commission
Answer:
Final Cost, Price with tax, and Discount.
Step-by-step explanation:
Please help,I'm confused as to how to find the area with the shapes connected,thankyou.
Answer: 104 ft²
Step-by-step explanation:
To find the area of the figure, we can find the area of the rectangle and the triangle. After that, we add the two areas together.
Rectangle
A=bh
A=10×8 [multiply]
A=80
----------------------------------------------------------------------------------------------------------------
Triangle
A=bh/2
A=6×8/2 [multiply]
A=48/2 [divide]
A=24
Now that we have the areas, we can add them together.
A=80+24 [add]
A=104 ft²
Now, we know that the area is 104 ft².
What is the correct answer for the first and second blank?
Answer:
Below.
Step-by-step explanation:
Using the given equation the rock will fall 16*(2)^2
= 16 * 4
= 64 feet in 2 seconds.
Therefore the rock will not hit the water in 2 seconds.
what is the answer to this equation using the quadratic formula?
3x^2+2x+4x=0
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+4}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(4)}}{2(3)}\implies x=\cfrac{-2\pm \sqrt{4-48}}{6}[/tex]
[tex]x=\cfrac{-2\pm \sqrt{-44}}{6}\implies x=\cfrac{-2\pm \sqrt{(-1)(2^2)(11)}}{6}\implies x=\cfrac{-2\pm 2~i\sqrt{11}}{6} \\\\\\ x=\cfrac{2(-1\pm i\sqrt{11})}{6}\implies x=\cfrac{-1\pm i \sqrt{11}}{3}[/tex]
mind you that it has two complex roots, or imaginary values.