Answer:
(4n − 1)(n − 4)
Explanation:
Factor 4n² − 17n + 4
4n² − 17n + 4
= (4n − 1)(n − 4)
Answer:
(4n − 1)(n − 4)
The factors of the expression [tex]4n^2-17n+4[/tex] are
Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
To factorize the quadratic expression [tex]4n^2 - 17n + 4[/tex], we need to find two binomial factors that, when multiplied, result in the given expression.
The factored form will have the following structure:
(An + B)(Cn + D)
To find the values of A, B, C, and D, we can use various methods such as factoring by grouping, quadratic formula, or completing the square. In this case, we will use the factoring by grouping method.
Step 1: Multiply the coefficient of the leading term (4) by the constant term (4). The result is 16.
Step 2: We need to find two numbers that multiply to give 16 and add up to the coefficient of the linear term (-17). After considering the possible pairs of numbers, we find that -16 and -1 meet these criteria.
Step 3: Rewrite the middle term (-17n) using -16n - n:
= [tex]4n^2 - 16n - n + 4[/tex]
Step 4: Group the terms and factors by grouping:
= [tex](4n^2 - 16n) - (n - 4)[/tex]
= 4n(n - 4) - 1(n - 4)
Step 5: Factor out the common binomial factor:
(n - 4)(4n - 1)
Therefore, the factored form of the quadratic expression [tex]4n^2 - 17n + 4[/tex] is (n - 4)(4n - 1).
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Name the corresponding an
Answer:
what do you want to say?
What is the value of: | 18 |
a) 18
b) -18
c) -(-18)
Answer:
hey its a. the absolute value of any number is always positive.
Step-by-step explanation:
If Mrs. Kliesch’s advanced class is 40% boys, and there are 12 boys, how many students are in her class?
Answer:
30 students
Step-by-step explanation:
40% boys and 12 boys so 60% is girls
40/100=12/x
x=30
30-12 is 18
so 30 students, 12 boys, and 18 girls.
Approximately 15% of Americans have a blood type of B. The local blood bank has 80 donors stop by on a given day (which can be considered a random sample from the population). What is the probability that between 15% and 20% of the donors on a given day have a blood type of B?
Answer: the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
Step-by-step explanation:
Given that;
Binomial Distribution
n = 80
p = 0.15
q = 1 - p = 0.85
Mean = μ = np = 80 X 0.15 = 12
SD = σ = √(npq) = √(80 x 0.15 x 0.85) = -3.1937
Now; Assumptions in normal distribution to binomial distribution
- The sample size = n = 80 > 30 . Large sample
- np = 80 × 0.15 = 12 > 10
- nq = 80 × 0.85 = 68 > 10
so
80 × 0.15 = 12
80 × 0.20 = 16
To find P(12 < X < 16):
Z = (16 - 12) / 3.1937
= 4 / 3.1937
= 1.2525
Table of Area Under Standard Normal Curve gives area = 0.3944
Therefore the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
f(x) = -6x - 7. Find f(-4)
Answer:
24-7 is the answer for u
On the coordinate plane below, quadrilateral 1 has been transformed to form quadrilateral 2.
у
A
-2-15
2
4
.
-6
Which of these could be the transformation? Choose all that are correct
OOOOOO
O A reflection across the line=1
A reflection across the line y = 1
A translation 2 units to the left, and then a reflection across the y -axis
A translation 2 units to the right, and then a reflection across the y -axis
A reflection across the y -axis, and then a translation 2 units to the right
A rotation of 180 about the point (1,4)
Answer:
Step-by-step explanation:
5.
3x3 + 2y2 - xy for x = 2 and y = 3
Answer:
21
Step-by-step explanation:
please help me with this will give brainliest to best answer
Answer:
this may sound crazy but its A,B,C,D
Step-by-step explanation:
they not in the boundaries 0f 5 to 0 or -2 to 0
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a
Answer:
disproportionate stratified sample
Step-by-step explanation:
Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.
URGENT! Please answer im having trouble
Tricia has $37.25 in her account. Which shows the amount she will have left after she writes a check for $23.99?
A. $12.36
B. $12.74
C. $13.26
D. $13.74
The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.
⇒ initial amount - check amount
⇒ $37.25 - $23.99
Apply the subtraction operations, and we get
⇒ $13.26
Therefore, the amount she will have left after writing a check for $23.99 is $13.26.
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Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.
α = 0.08; H1 is μ ≠ 3.24
Answer:
The value is [tex]1.75 \ and \ -1.75[/tex]
Step-by-step explanation:
From the question we are told that
The null hypothesis is [tex]H_1 : \mu \ne 3.24[/tex]
The level of significance is [tex]\alpha = 0.08[/tex]
From the z table the critical value of [tex]\alpha[/tex] considering the two tails of the normal curve( This is because this a two tailed test ) is
[tex]z= \pm 1.75[/tex]
Hence the critical value is
[tex]1.75 \ and \ -1.75[/tex]
PLEASE PLEASE PLEASE HELP!!!!!!!!!
Answer:
there will be 1 person = the winner at round 10, and at round 9 there will be 5 it goes down by fifteen every time
Step-by-step explanation:
Can I Get brainiest
What is the slope of the function f(x) = 6x + 10 *
1
10
6
16
Other:
Answer:
6
Step-by-step explanation:
6 is the slope of the function
Proportions 6. A certain salsa is made with 6 parts tomato and 2 parts bell pepper. How many cups of tomato should be combined with 1.5 cups bell pepper? Write a proportion, then solve.
Answer:
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
Step-by-step explanation:
Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.
Let t be tomatoes and b be bell peppers
The proportion will be:
t:b
The ratio of tomatoes to bell pepper will be:
6:2
This ratio simplifies to 3:1
This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.
Now the bell peppers are 1.5 cups then the proportion will be:
[tex]t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5[/tex]
Hence,
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
The 5-gallon bucket of paint that Kenzie bought from the hardware store weighs 55 pounds. CJ is buying 1 gallon of paint.
How many pounds does 1 gallon of paint weigh?
Answer:
n
Step-by-step explanation:
Fill in the blank to find the y-intercept of-x+2y=10
Find the slope of a line that passes through points (-2,1) and
(3,-5)
Answer:
-1.2
Step-by-step explanation:
Answer:
-6/5=M
Step-by-step explanation:
This circle has a radius of 3 centimeters and a central angle with a measure of 60 degrees.What is the area of the shaded sector?
Answer:
Area of the shaded sector
=
42.41
Step-by-step explanation:
there u go hope it helps uhh
In the given diagram, the area of the shaded sector is 1.5π cm² OR 4.71 cm²
Calculating Area of a SectorFrom the question, we are to calculate the area of the shaded sector
The area of a sector can be calculated by using the formula,
[tex]A = \frac{\theta}{360 ^\circ} \times \pi r^{2}[/tex]
Where θ is the central angle
and r is the radius of the circle
From the give information,
θ = 60°
r = 3 cm
∴ [tex]A = \frac{60 ^\circ}{360 ^\circ} \times \pi \times 3^{2}[/tex]
[tex]A = \frac{1}{6} \times 9 \pi[/tex]
A = 1.5π cm² OR 4.71 cm²
Hence, the area of the shaded sector is 1.5π cm² OR 4.71 cm²
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HELPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:b
Step-by-step explanation:
ABC IS A TRINAGLE
WORK OUT ANGLE X
GIVE YOUR ANSWER CORRECT TO 3 S.F
Answer:
[tex]2 {2 = | \leqslant 3 > 3 |2 > \times 2 \frac{?}{ \tan( \sec(\pi\% log_{?}( \beta ) ) ) } | | }^{?} [/tex]
7=9/8ths
Consider functions f, g, h, and k. Then complete the statements.
The function that has the least minimum value is function ___.
The function that has the greatest minimum value is function ___.
Answer:
Its A
Step-by-step explanation:
Last month for work Mr. Wheelboogie traveled 5150 miles. This month that total increased to 7895 miles. What is the percent increase in Mr. Wheelboogie's mileage? Round to the nearest whole %
Answer:
53%
Step-by-step explanation:
use formula: (new value - original value) / original value and you will get .533 which rounds to 53%
PLEASE HELPPPP
What is the equation of the line that passes through the point (4, -4) and has a
slope of ?
Answer:
[tex] y = -\frac{5}{2}x + 6 [/tex]
Step-by-step explanation:
Using a point (4, -4) and the slope of the line that passes through it, m = -⁵/2, we can generate an equation by using the point-slope form equation of a line given as y - b = m(x - a).
Where,
(a, b) = (4, -4)
m = -⁵/2
Plug in the values
y - (-4) = -⁵/2(x - 4)
y + 4 = (-5x + 20)/2
Multiply both sides by 2
2y + 8 = -5x + 20
Subtract both sides by 8
2y = -5x + 20 - 8
2y = -5x + 12
Divide both sides by 2
y = -⁵/2x + 12/2
[tex] y = -\frac{5}{2}x + 6 [/tex] (equation in slope-intercept form)
I started off with 430 Euros in an account, and I get an interest rate of 0.6% each year. How many Euros will be in my account after 15 years?
I need this ASAP and please show work
Answer:
B= 168
G=56
Step-by-step explanation:
3x+x= 224
4x=224
x=56
3x56=168
What are the measures of jK andKIJ?
Measure of jk =
Measure ofKIJ=
116°
70°
ANWSER
JK=104°
KIJ=52
Answer:
JK=104°
KIJ=52
Step-by-step explanation:
The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and ∠KIJ = 52°
What is the measure of the angles?
We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.
Angle KJI = arc KI/ 2
Thus;
Angle KJI = 116°/2
Angle KJI = 58°
Now by angle sum property of a triangle, we get:
∠ K + ∠ I + ∠ J = 180°
70° + ∠I + 58° = 180°
∠I = 52°
By using intercept formula, we get arc KJ;
∠JIK = arc JK/ 2
2(∠ JIK) = arc JK
2(52°) = arc JK
arc JK = 104°
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How many solutions does the equation y=-7x+3 and y+7x=10 have
Answer:
Step-by-step explanation:
y=-7x+3
y+7x=3
y+7x=10
no solution.
Which is the largest A. 4.8 * 10 ^ - 6 B. 1.3 * 10 ^ 20 C. 3.1 * 10 ^ - 4 D. 9.2 * 10 ^ - 5 E. 9.5 * 10 ^ 32 F. 5.9 * 10 ^ - 5 G. 2.9 * 10 ^ 21 H. .4 * 10 ^ 1
Answer:
a
Step-by-step explanation:
Chaston began making regular deposits of a certain amount of money each month, m, starting November 1st. The function F(m) = 25 m + 200 models the amount of money in his account after he started saving money. Assuming Chaston made no purchases from the account after November 1st, which of the following is NOT true?
A) Chaston made monthly deposits of 25 dollars per month
B) 2 months after he started saving Chaston would have $250 in his account
C) After 25 months of saving Chaston had $200 in his account
D) Chaston initially had $200 in his account before he began making regular monthly deposits
Answer:
c because 200 is the initial amount. He would have more than 200.
