-12=4f-24
Solve for f
Answer: f=3
Step-by-step explanation:
For what values of x:
Is the trinomial x^2−11x+31 equal to 1?
are the values of the polynomials x^2−5x−3 and 2x−5 equal?
Is the binomial 7x+1 equal to the trinomial 3x^2−2x+1?
Is the trinomial −2x^2+5x+6 equal to the binomial 4x^2+5x?
Answer:
A) x = 5 or x = 6
B) x = 0.298 or 6.702
C) x = 3
D) x = ±1
Step-by-step explanation:
A) Values of x for which;
x² − 11x + 31 = 1
x² - 11x + 30 = 0
Using quadratic formula, we have;
x = 5 and x = 6
B) Values of x for which;
x² − 5x − 3 = 2x − 5
x² − 5x - 2x - 3 + 5 = 0
x² - 7x + 2 = 0
Using quadratic formula, we have;
x = 0.298 or 6.702
C) Values of x for which;
7x + 1 = 3x² − 2x + 1
3x² - 2x - 7x + 1 - 1 = 0
3x² - 9x = 0
3x² = 9x
Divide both sides by 3x to get;
x = 3
D) Values of x for which;
−2x² + 5x + 6 = 4x² + 5x
Rearranging, we have;
4x² + 2x² + 5x - 5x - 6 = 0
6x² - 6 = 0
x² = 6/6
x² = 1
x = √1
x = ±1
The values of [tex]x[/tex] for the given situations would be as follows:
A). [tex]x = 5[/tex] or [tex]x = 6[/tex].
B). [tex]x = 0.298[/tex] or [tex]6.702[/tex]
C). [tex]x = 3[/tex]
D). [tex]x =[/tex] ±[tex]1[/tex]
Find the value of xa). [tex]x^2 - 11x + 31 = 1[/tex]
⇒ [tex]x^2 - 11x + 30 = 0[/tex]
by employing the quadratic equation, we have the values of [tex]x[/tex];
Considering
a = 1
b = -11
c = 30
⇒ {[tex]-(-11)[/tex] ± [tex]\sqrt{(-11)^2 -4 .1. 30 }[/tex]}[tex]/2.1[/tex]
Now,
[tex]x =[/tex] ([tex]11[/tex] ± [tex]1)/2[/tex]
Thus, the values for which the given trinomial would be equivalent to 1 would be:
∵ [tex]x = 5[/tex] and [tex]x = 6[/tex]
b). [tex]x^2 - 5x - 3 = 2x - 5[/tex]
⇒ [tex]x^2 - 5x - 2x - 3 + 5 = 0[/tex]
⇒ [tex]x^2 - 7x + 2 = 0[/tex]
by employing the quadratic equation, we have the values of [tex]x[/tex];
Therefore, the values of polynomials [tex]x^2 - 5x - 3 = 2x - 5[/tex] when:
∵ [tex]x = 0.298[/tex] or [tex]x = 6.702[/tex]
c). [tex]7x + 1 = 3x^2 - 2x + 1[/tex]
⇒ [tex]3x^2 - 2x - 7x + 1 - 1 = 0[/tex]
⇒ [tex]3x^2 - 9x = 0[/tex]
⇒ [tex]3x^2 = 9x[/tex]
by dividing both the sides by [tex]3x[/tex] to receive;
Hence, the binomial and trinomial [tex]7x + 1 = 3x^2 - 2x + 1[/tex] when:
∵ [tex]x = 3[/tex]
d). [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex]
by arranging them again, we get;
[tex]4x^2 + 2x^2 + 5x - 5x - 6 = 0[/tex]
⇒ [tex]6x^2 - 6 = 0[/tex]
⇒ [tex]x^2 = 6/6[/tex]
The trinomial and binomial [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex] would be when:
∵ [tex]x =[/tex] ±[tex]1[/tex]
Learn more about "Binomial" here:
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1) The diameter of a pizza is 14 inches. What is the circumference of the
pizza? Use 22/7 for pi.
12.23 i dont know what the awnswer is bu hahahah
25% of the tickets sold at a water park were child tickets. If the park sold 92 tickets in all,
how many child tickets did it sell?
(4y + 1) = 4
find the value of y
Answer:
y = 0.75
Step-by-step explanation:
(4y + 1) = 4
4y + 1 = 4
4y + 1 - 1 = 4 - 1
4y = 3
4y ÷ 4 = 3 ÷ 4
y = 0.75
DESPERATELY NEED HELP I WILL GIVE BRIANLYNESTTT
Answer:
7
Step-by-step explanation:
its 7
Answer:
slope Formula = y^2-y^1/x^2+x^1
Step-by-step explanation:
now,
[tex]10 - 3 \div 6 - 5 [/tex]
[tex]7 \div 1[/tex]
[tex] = 7[/tex]
hey what's
[tex] \sqrt{169} \times 2[/tex]
Answer:
the square root of 169 is 13 then ×2
26
I hope I am correct mate
enjoy your day
#Captainpower
Hello! I need help on this geometry assignment! I will give brainliest to anyone who can help me and actually shows the work because I need help right away!!!!!!!!!
2. What is the value of x? Show your work.
Answer:
We know that 30/25 is 1.2 or 1 1/5. SO if we divide 20 by that then we'll get 16.6667. So I won't give you the answer because its best that you learn to do this yourself because its more beneficial than telling you. What you have left is 16.6667=4x-4. Combine like terms and you'll get your answer. But if your still stuck then you can just let me know and I'll help you as much as I can.
Does anyone knows how to do that?
I need to solve for x
Answer:
[tex]x=17[/tex]°
Step-by-step explanation:
Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is [tex]180[/tex]°.
Now, with all of this information, we can set up the following equation and solve for [tex]x[/tex]:
[tex]115+4x-3=180[/tex]
[tex]112+4x=180[/tex] (Simplify LHS by combining like terms)
[tex]112+4x-112=180-112[/tex] (Subtract [tex]112[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]4x=68[/tex] (Simplify)
[tex]\frac{4x}{4}=\frac{68}{4}[/tex] (Divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=17[/tex]° (Simplify)
Hope this helps!
Carrie needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile.
If Carrie has $12.52 and she finds a cab company with the same flat fee that only charges $0.45 per mile, what is the maximum number of miles she will be able
to travel, to the nearest tenth of a mile?
what is the equation?
The maximum number of miles she will be able to travel, to the nearest tenth of a mile is less than or equals to 22.8 miles.
She needs to take a cab and has y dollars. The company charges a flat rate of $2.25 plus $0.55 per mile. Therefore the equation will be
y = 2.25 + 0.55x
where
x = number of miles travelled.
Now she has $12.52 and she finds a cab company with the same flat rate and only charges $0.45 per mile. The maximum number of miles she will be able to travel to the nearest tenth of mile can be calculated below:
2.25 + 0.45x ≤ 12.52
x = number of miles travelled.
0.45x ≤ 12.52 - 2.25
x ≤ 10.27 / 0.45
x ≤ 22.8222222222
x ≤ 22.8 miles
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At the end of the year, cars made in the current year are marked down to make room for
next year's models. One particular model had a sticker price of $45,160 when it was new. It
has just been marked down by 5%. What is the sale price of the vehicle?
Answer:
The sale price of the vehicle is $36885
Step-by-step explanation:
One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be
25/100 × 49180 = 0.25 × 49180 = $12295.
The sale price of the vehicle would be
49180 - 12295 = $36885
image down below :) thanks
Step-by-step explanation:
option C is the correct answer of this question.
plz mark my answer as brainlist plzzzz hope this will be helpful to you ☺️.
On a recent test, you were given the table displayed and asked to write the rule that models it. A 2-column table with 3 rows. Column 1 is labeled x with entries 8, 12, 16. Column 2 is labeled y with entries 2, 6, 10. What should the rule be for the table? Subtract 6 from the x value to get the y value. Multiply the x value by 1/2 to get the y value. Multiply the x value by 1/4 to get the y value. Add 6 to the x value to get the y value.
Answer:
Its A :]
Step-by-step explanation:
I just took the quiz
Find -2 - -0.7 model the expression on the number line by drawing an arrow
Answer:
-1.3
Step-by-step explanation:
number line will go all the way to the left and then 7 to the right. which is -1.3
The value of -2 - -7 as modelled in the attached image is; -1.3
According to the question;
We are required to model the expression on the number line by drawing an arrow.The number line model given can be used to evaluate -2 - -0.7 by simply finding the distance between -2 and -0.7 as in the attached image.
Ultimately, the value of -2 - -0.7 is; -1.3
Read more;
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This is turned in tomorrow and i the teachers don’t explain anything please help I really need help.
Answer:
?
Step-by-step explanation:
What is the radius of this circle?
The radius of the circle is 3
(x - 3)(2x + 1)(Ax + 1) = 8x? + Bx? + Cx - 3
Work out the value of A, the value of B and the value of C.
Answer:
Please refer the below attachments.
Hope it helps
Please mark me as the brainliest
Thank you
Will give brainliest
Answer:
AC = 4.7 feet
Step-by-step explanation:
cos 20° = x
5
5 · cos 20° = x
4.7 = x
Maria is 12 years older than Jose. In 9 years Maria will be twice as old as Jose.
How old are they now?
Answer
This question has multiple answers to narrow it down to one we need to know how old is Maria.
Step-by-step explanation:
Help please I have no clue what im doing.
Answer:
x = 10
[tex] m\angle DCE=55\degree [/tex]
Step-by-step explanation:
Since, CE bisects angle DCF, therefore:
[tex] m\angle ECF= m\angle DCE[/tex]
[tex] 6x-5=4x + 15 [/tex]
[tex] 6x-4x=5 + 15 [/tex]
[tex] 2x=20 [/tex]
[tex] x=\frac{20}{2} [/tex]
[tex] x=10[/tex]
[tex] m\angle DCE=(4x+15)\degree [/tex]
[tex] m\angle DCE=(4\times 10+15)\degree [/tex]
[tex] m\angle DCE=(40+15)\degree [/tex]
[tex] m\angle DCE=55\degree [/tex]
I NEED HELP ASAP!!!!!!
Answer:
83.3%
Step-by-step explanation:
The probability of rolling a 3 on a 6-sided dice is 1/6
Since you don't want a three, there's a 5/6 chance of not rolling a 3
5/6 (use calculator and divede 5 by 6) = 0.833333 (move decimal 2 to the right) = 83.3%
Therefore, the most reasonable answer would be C, 83.3%
who wants to help me??
Answer:
Function 1 is negative with a slope of -5 and Function 2 is positive with a slope of 3.
Step-by-step explanation:
Slope Formula: (y2 - y1)/(x2 - x1)
Function 1: m = -2 - (-12) / 1 - 3
m = 10 / -2
m = 5 / -1
m = -5
Function 2: m = 3/1
m = 3
100 points please help
This painting has?
Answer:
D. Organic shapes
Step-by-step explanation:
Achromatic shapes: shapes with "no color".
Geometric shapes: shapes with straight lines and angles that symbolize structure and order.
Irregular shapes: shapes that have sides and angles of any length and size.
Organic shapes: shapes with a natural look and a flowing and curving appearance. Organic shapes are associated with things from the natural world, like plants and animals.
I hope this helps :)
Answer:
Its the real answer of my inorganic shapes
Step-by-step explanation:
If im wrong im sorry
Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long.
How many meters of rope does Aiku have in all?
0.0412 m
0.412 m
4.12 m
41.2 m
Answer:
the 3rd one.
Step-by-step explanation:
Option D is correct, Aiku has a total of 4.12 meters of rope in all.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.
The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).
The length of the second rope is 367 centimeters, which is equal to 3.67 meters.
Adding these two lengths together, we get:
0.45 meters + 3.67 meters = 4.12 meters
Therefore, Aiku has a total of 4.12 meters of rope in all.
To learn more on Equation:
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#SPJ2
graph the line with the equation y = 2/3x + 1
Answer:
line will go through 1 on the y-axis and -1.5 on the x-axis
Oliva buys 6 packs of muffins. She uses a coupon and saves 3$ off the total. which expression represents her total cost?
A. 6m - 3
B. 6 + 3
C. 6 - 3m
D. 6m + 3
Answer:
A. 6m - 3
Step-by-step explanation:
6m represents finding the total cost for the 6 packs of muffins.
When you use PEMDAS or GEMDAS (whichever you know better), they both make you solve 6m first which means you subtract $3 after you find the total amount for the packs of muffins.
After you figure that out, you subtract the $3 from the total since it's a coupon and will save you $3 instead of adding it to the total price.
hope this makes sense and help :)
Answer:
A. 6m - 3
Step-by-step explanation:
Saving 3 dollars off of a coupon lowers the price therefore making it subtraction. 6m is the amount of the muffins cost, m being the unknown price of each muffin.
how do you take one number from the other one to get the answer
Answer:
You would subtract, because "take away" means to literally subtract
Step-by-step explanation:
Hope this helped!
Answer:
You would subtract the bigger number from the smaller number to get your answer
Step-by-step explanation:
What's the radical of the expression
Answer:
√16 or 4
hope this helps!
The tiles for the bathroom tub makes a rectangular grid consisting of 253 rows and 48 columns. Write an expression that shows the product of the number of tiles in the bathroom.
Answer:
Step-by-step explanation:
Assuming that the tile sizes are an average of 1x1 then the expression would simply be multiplying the number of rows by the number of columns. This would provide us with a product which would be the area of the bathroom as well as the number of individual tiles that the bathroom needs and/or already has installed represented by the variable t. Therefore, the expression would be the following.
253 * 48 = t
12,144 = t
A store has apples on sale for 28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $112.00
Answer:
112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48
Step-by-step explanation: