express (x-1)(2x-8) as a trinomial
Answer:
the answer is 2x²-10x+8
The trinomial equation is A = 2x² - 10x + 8
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( x - 1 ) ( 2x - 8 ) be equation (1)
On simplifying the equation , we get
A = x ( 2x - 8 ) - 1 ( 2x - 8 )
A = x ( 2x ) - x ( 8 ) - 2x + 8
On further simplification , we get
A = 2x² - 8x - 2x + 8
A = 2x² - 10x + 8
Therefore , the value of A is 2x² - 10x + 8
Hence , the equation is A = 2x² - 10x + 8
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The number of students in a school fell from 700 last year to 646 this year. What is the percentage reduction?
Answer: 7.71%
Step-by-step explanation:
Number of students in a school last year = 700
Number of students in a school this year = 646
Reduction in the number of students = 700 - 646 = 54
The percentage reduction will be:
= Reduction in number / Last year students × 100
= (54 / 700) × 100
= 7.71%
Find m < RQP
Question 1 options:
70°
55°
80°
90°
Answer:
80°
78% positive
The measure of the unknown angle is 70 degrees
In circle geometry, there is a theorem that states that the angle at the centre of a circle is twice the angle at the circumference
Given the following parameters;
Angle at the circumference = x
Angle at the centre = 140 degrees
Using the given theorem;
140 = 2x
Swap
2x = 140
x = 140/2
x = 70
Hence the measure of the unknown angle is 70 degrees
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Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1
Answer:
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
Step-by-step explanation:
Sea una recta:
f(x) = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:
g(x) = a*x + c
Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)
Entonces podemos escribir la línea perpendicular a f(x) como:
h(x) = -(1/a)*x + c
Ahora veamos nuestras líneas:
A(x) = y = −3*x+5
B(x) = y = x/3+2 = (1/3)*x + 2
C(x) = y = -3*x + 1
Primero veamos cuáles son paralelas:
A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces A y C son paralelas.
Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:
-(1/-3) = 1/3
Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
HELPPPPP PLSSSS IT IS DUE AT 3:15 PM
If the diameter of the circle above is 22 in, what is the circumference of the circle?
A.
11 in
B.
22 in
C.
44 in
D.
121 in
Answer:
B. 22 in ?
Step-by-step explanation:
circumference of the circle: 2πr
2 × π × 11 = 22π in
answer for brainilest and 11 points
Answer:
s = 31t
Step-by-step explanation:
s = 31(1) =31 students
s = 31(3) = 93 students
For every teacher, there are 31 students
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer and Step-by-step explanation:
To find the range, we must plug in the values 0 to 15 into the function to find the values of f(x), which are the range.
When plugging in the values, we see that the answer should be the last one.
We start with a pay of $15.50, and it increases each time by $10, until it reaches $165.50.
So, D is the answer.
#teamtrees #PAW (Plant And Water)
find the volume of the sphere. either enter an exact answer in terms of pie or use 3.14 for pie and round your final answer to the nearest hundredth.
someone please help asap i’ll give u brainliest
Answer:
Step-by-step explanation:
volume = [tex]\frac{4}{3}*pi*r^3[/tex]
= 4/3pi
x + y = 7
5x - 2y = -7
Answer:
x=1 y=6
Step-by-step explanation:
make equation 3 from equation 1
substitute equation 3 from 2
find x or y from equation 3
what is the elapsed time? start time:9:14 p.m. end time: 9:42
28 minutes
32 minutes
38minutes
56 minutes
Answer:
28 minutes
Step-by-step explanation:
How do you find the cube root of a number?
I am literally confused, it would be appreciated if someone explained to me. Thank you :)
Answer:
How to Cube A Number
To cube a number, just use it in a multiplication 3 times .
A cube root goes the other direction:
3 cubed is 27, so the cube root of 27 is 3
Let f(x)=x^2+2 and g(x)=1-3x. Find each function value: f(g(-1))
Answer:
g(-1)=4 ,f(g(-1))=18
Step-by-step explanation:
g(-1):
1-3(-1)=4
f(g(-1)):
sub in g(-1) as x
(4)^2+2=18
find endpoint T, given an endpoint S (-2, 9) and Midpoint M (8, 0)
Find the value of x. If necessary, round your answer to the nearest tenth. The
figure is not drawn to scale.
Answer:
18.8 you are right
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
If two chords intersect in a circle, then (product of segments of Chord 1) = (product of segments of Chord 2)
=> 8 × 15 = 10 × x
=> x = 8 × 15 ÷ 10
=> x = 12
can someone help please!<3
Samantha deposited $300 in a savings account. The account earns simple interest at a rate of 6.5%. How much money will Samantha have in her account after 3 years?
Answer:
319.5% divided by 3.37
Step-by-step explanation:
Can someone please help me! it’s due in like 15minutes and I have others assignments to do that are also due in 15 minutes!
Answer:
1. 71.25 ft^2
2. $2764.80
3. 84 in^2
4. 6 inches
Step-by-step explanation:
1. Area of a triangle is base x height x 1/2
2. Multiply the area by the amount: A = 768 so 768 x 3.60 = total cost
3. Area of a trapezoid is (base x height) x height / 2
4. Area of triangle is base x height x 1/2 so if you multiply the area by 2 and divide by 18, you can find the base, which is 6
Hope this helped! :)
1. 71.25 ft
2. $2,764.8
3. 84 in
4. 6 in
Determine the probability of rolling a number that is not even.
a. Which outcome or outcomes make up the event of rolling a number that is not even?
b. Calculate the probability of rolling a number that is not even.
Answer:
[tex]\frac{1}{2}[/tex] or 0.5 or 50%
Step-by-step explanation:
P(not even) = P(odd) = P(1) or P(3) or P(5) = P(1) + P(3) + P(5)
= [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex] = [tex]\frac{3}{6}[/tex]= [tex]\frac{1}{2}[/tex]
Alternatively
P(not even) = 1 -P(even) = 1 - [P(2) or P(4) or P(6)]
= 1 - [ [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex]] = 1 - [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
I will mark brainliest
Answer:
4.89
Please mark brainliest
Type of angle:
Angle measures:
Judah deposited $450 into an account that earns simple interest, and after 4 years, the interest in the account was 90$. What was the simple interest rate?
Answer:
$22.50 I think I'm not 100% sure, Im sorry
Step-by-step explanation:
90/4 is 22.5 a year
HELPPP ASAP 10 POINTSS
Answer:
4
Step-by-step explanation:
the smaller triangle is being enlarged 4 times
1.5x4 = 6
Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.
π √2 4√4 √16
(a). Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(b). Order the string sizes from least to greatest.
Answer:
Step-by-step explanation:
Kevin and Ornella entered a fun run. Their times for completing the course totaled 1 hour 52 minutes. Kevin's time was 4 minutes less than Ornella's. How many minutes did it take Ornella to complete the course?
Answer:
58 minutes
Step-by-step explanation:
Kelvin and Ornella completed the course in 1 hour 52 minutes
60 minutes + 52 minutes
= 112 minutes
Kelvin time is 54 minutes
Kelvin time is 4 minutes less than ornella
Hence Ornella time is 58 minutes
Help me please I don’t understand this
Answer:
D) 159°
Step-by-step explanation:
[tex]10x+9+90+34+6x-13=360[/tex]
→[tex]16x=240[/tex] →[tex]x=15[/tex]
∠[tex]YZU=10*15+9=159[/tex]
[tex]---------[/tex]
hope it helps...
have a great day!!
Answer:
159°
Step-by-step explanation:
A circle measures 360°. We can use this knowledge to find the unknown angles.
(10x + 9) + (6x - 13) + 34 + 90 = 360
Combine like terms and solve for x.
16x + 120 = 360
16x = 240
x = 15
So, we have found the value of x, and can now find m∠YZU.
10(15) + 9 = m∠YZU
m∠YZU = 159°
We can ascertain that this is the answer by plugging in x for the initial equation we created.
(10(15) + 9) + (6(15) - 13) + 34 + 90 = 360
159 + 77 + 34 + 90 = 360 It works!
Rewrite the expression without parentheses. 13m−(3+8m)
Answer:
13m-3+8m
Step-by-step explanation:
A CD manufacturer wanted to determine which of two different cover designs for a newly released CD will generate more sales. The manufacturer chose 70 stores to sell the CD. Thirty-five of these stores were randomly assigned to sell CDs with one of the cover designs and the other 35 were assigned to sell the CDs with the other cover design. The manufacturer recorded the number of CDs sold at each of the stores and found a significant difference between the mean number of CDs sold for the two cover designs. Which of the following gives the conclusion that should be made based on the results and provides the best explanation for the conclusion?
A. It is NOT reasonable to conclude that the difference in sales was caused by the different cover designs because this was not an experiment.
B. It is NOT reasonable to conclude that the difference in sales was caused the different cover designs because there was no control group for comparison.
C. It is NOT reasonable to conclude that the difference in sales was caused the different cover designs because the 70 stores were not randomly chosen.
D. It is reasonable to conclude that the difference in sales was caused by the different cover designs because the cover designs were randomly assigned to stores.
E. It is reasonable to conclude that the difference in sales was caused by the different cover designs because the sample size was large.
Answer:
The statement that gives the best conclusion that should be made based on the results and provides the best explanation for the conclusion is option D;
D. It is reasonable to conclude that the difference in sales was caused by the different cover designs because the cover designs were randomly assigned to stores
Step-by-step explanation:
The data given in the question are presented as follows;
The particulars the CD manufacturer wants to determine = The CD cover design that will generate more sales
The mode of selection of the stores for the test = Random selection
The number of stores in each group of stores, n = 35 stores
The number of sets of stores tested = 2 sets of stores
Let [tex]\overline x_1[/tex] represent the mean number CDs sold at one set of stores and [tex]\overline x_2[/tex] represent the mean number CDs sold at the other set of stores
The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, H₀; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
Given that the statistical analysis shows that the difference in mean between the two sets of randomly selected stores is significant, we therefore should reject the null hypothesis and accept the alternative hypothesis that there is a significant difference in CD sale attributable to the difference in cover design as the CDs having on of two cover design where assigned randomly to the stores.
This helped me so much thank you!!!!!!
Answer:
Your profile picture I love it
It is desired to estimate the average weight of a new born baby. The birth records of arandom sample of 60 babies' weights showed a mean of 7.0 lbs and standard deviation of 1.5 lbs.Construct a 95% confidence interval forμ.
Answer:
95% confidence interval for the mean
(6.61251, 7.38749)
Step-by-step explanation:
Step:-1
Given that a random sample 'n' = 60
Given that mean of the sample x⁻ = 7.0
Given that the standard deviation of the sample (S) = 1.5
Level of significance = 0.05
Degrees of freedom = n-1 = 60-1 = 59
t₍₀.₀₅ , ₙ₋₁₎ = 2.0010
Step(ii):-
95% confidence interval for the mean is determined by
[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]
[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]
(7.0 - 0.38749 , 7.0 + 0.38749)
(6.61251 , 7.38749)
Final answer:-
95% confidence interval for the mean
(6.61251 , 7.38749)
The diameter of a circle is 18m . Find its circumference in terms of pi?
Answer:
The circumference of a circle =πd = π×18 =18π m
The diameter of a circle is 18 m. Find its circumference in terms of π.
Solution:-Diameter of a circle = 18 m. (Given)
Radius (r) of a circle = 18/2 = 9 m.
We know,
[tex] \dag [/tex] Circumference of a circle is 2πr.
So, It's circumference is (2 × π × 9) m.
It's circumference is 18π m.
It's circumference in terms of π is 18π m. [Answer]