Zeros of the given equation are {-2, 3, (-1±i√3)/2}
Solution:-As the last term is -6 then, ± 2 , ±3 are possible zeroes.
Try 2:-
[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so 2 is not a zero.
Try 3:-
[tex]3^4-6*(3)^2-7*3-6=0[/tex] so 3 is a zero.
[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex] so -2 is also a zero.
Divide the function by (x +2)(x - 3), that is [tex]x^2 - x - 6[/tex]
gives [tex]x^2 + x + 1[/tex]
[tex]x^2 + x + 1[/tex]
So we have [tex]x^2 + x + 1 = 0[/tex]
[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]
= -1 + √(-3) / 2 , - 1 - √(-3) / 2.
= -0.5 + 0.866i, -0.5 - 0.866i
What are math roots?In mathematics, the number that results in the original number when multiplied by itself is called the root.
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The difference between six and a number is two
Answer:
4.
Step-by-step explanation:
the difference means -.
between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.
In 1992, Jason bought a gallon of gas for $1.18. Yesterday, he bought a gallon of gas for $2.10. What is the percentage increase of the price of a gallon of gas
from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
Answer:
1.77 percent increase
Sound waves can be ranked by their intensity, I, given in this formula, where r is the distance from the source of a sound with a power output of P.
[tex]P = 4xr^{2} .[/tex]
Which equation correctly rewrites the formula to solve for I?
A. [tex]I = \frac{P}{4xr^{2} }[/tex]
B. [tex]I = \frac{Pxr^{2} }{4}[/tex]
C. [tex]I = 4Pxr^{2}[/tex]
D. [tex]I = \frac{4P}{xr^{2} }[/tex]
Answer: C correctly rewrites the formula to solve I
Step-by-step explanation:
Express $0.3\overline{2}$ as a fraction in simplest form.
Answer:
3/20
Step-by-step explanation:
[tex]\frac{0.3}{2}=\frac{0.3*10}{2*10}=\frac{3}{20}[/tex]
2. Marquan sells pretzels at Auntie Anne and earns $15 per hour,
(a) Write an expression to show the relationship between the number of hours
worked (h) and the total earnings.
(b) Use the expression to determine the amount of money he earns if he
worked for 2 hours (b) 3 hours (c) 5 hours
Yes
dollars per hour = salary
a
dollars per hours multiplied with hours worked (h) = total earnings
b
15 x 2 = 30
15 x 3 = 45
15 x 5 = 75
(h)
How far will the skier travel
Answer:
2700 meters
Step-by-step explanation:
2 and a half minutes becomes 150 seconds. 150 seconds divided by 4 seconds, the amount of seconds it takes to cover 72 meters, is 37.5. 37.5 multiplied by 72, the meters covered in 4 seconds, is 2700 meters.
Aurielle bought 13 packs of
cookies for $51.48 from the
supermarket. How many packs
of cookies can she buy for
$43.56?
Pls help
Answer:
She could buy 11 packs of cookies for $43.56.
Step-by-step explanation:
to find the answer you have to find how much 1 pack of cookies costs.
First, you divide 51.48 by 13
51.48/13 = 3.96
now that you know 1 pack of cookies cost $3.96 you can use that to find how many packs you could buy for 43.56
43.56/3.96 = 11
How do I solve 6,000-5,258
Answer:
742
Step-by-step explanation:
6000
-5258
742
Can someone solve this please? Thank you!
Answer:
.125
Step-by-step explanation:
1/4 times 1/2 equals .125.
Answer:
Total area of the box is 1 ft squared
Area of the shaded box is .125 ft squared
Area of the non - shaded box is .875 ft squared
Step-by-step explanation:
To find the total area, we can multiple the length * height, 1 * 1 = 1.
To find the shaded area, we can multiple the length * height, .5 * .24 = .125.
To find the total area, we can multiple the length * height of the box minus the shaded area, 1 * 1 - .125 = .875.
A.
B. AB ≅ AC
C.
D. CS ≅ ST
Answer:
what are the rest of the choices, if the ones are the top ones they dont make sense.
Step-by-step explanation:
Show your work please!!!
Answer:
Error is in line 3
Error description: Root of 4 is 2 not 4
Correct answer should be 9*√5 (12*√5 - 3*√5)
I-Ready The map shows an obstacle course at a school fair.
The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of Honda Accords. Click on the datafile logo to reference the data.
a. Develop an estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car (to decimals). Enter negative value as negative number. 20385.25049
b. Is multicollinearity an issue for this model
Answer:
a) estimated regression equation = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )
b) multicollinearity is an issue for this model
Step-by-step explanation:
a) An estimated regression equation
estimated regression equation = price ~ mileage + age = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )
Residuals :
Min 1∅ median 3∅ max
- 1053.73 - 542.06 - 19.61 433.55 1560.81
coefficients :
estimate std errors at t values ( intercept ) 2.039e + 04 2.982e+02 68.366<2e-16b) multicollinearity is an issue for this model because the correlation between millage and Fs 0.6681727 is of high degree
attached below is the remaining part of the solution
Can someone PLEASE help I’ll give brainliest
Answer:
98°
Step-by-step explanation:
3x+89+8x+58=180
11x+147=180
11x=180-147
11x=33
x=3
< MON = 3x+89 = 3(3)+89 = 9+89= 98°
A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function
V(t) = 350 - 205, where t is the number of years since it was purchased and Vt) is its value in dollars) at that time. What is
the value of the painting 10 years after its purchase?
Answer:
$1400
Step-by-step explanation:
350 x 2 = 700 x 2 = $1400
Kaiya Deangelo each create a number pattern
i need to show work it’s algebra 2
Answer:
a=4 because 4+2=6 on number one
What is value of x and y if
Y=-2x+8 and Y=3x-7
Answer:
X=5 y=-2
Step-by-step explanation:
Set them equal to each other so...
-2x+8=3x-7
Simplify by balancing out the equation so
-5x=-1
So x=5
Now plug it into either y equation
-2(5)+8
-10+8
Y=-2
Hope this helps!
identify the expeession equivalent to 2x+8 by substituting x=7 and x=5.
Step-by-step explanation:
If you substitute the x in 2x+8 with 7, you get:
2(7)+8
14+8
22
If you substitute the x in 2x+8 with 5, you get:
2(5)+8
10+8
18
Hope this helps!
Which of the following numbers is one fifth of a given number if one fourth of that same number is 20
Answer:100
Step-by-step explanation:
If there are 26 successes in a sample with a size of 40, what is the sample
proportion?
A. 0.65
B. 0.52
C. 0.75
D. 0.26
SUBMIT
Answer:
0.65
Step-by-step explanation:
in a group of 35 students 7 have yellow socks what percentage of the students have yellow socks
Answer:
20%
Step-by-step explanation:
[tex]\frac{7}{35} =\frac{y}{100}[/tex]
35 · y = 7 · 100
35y = 700
35y ÷ 35 = 700 ÷ 35
y = 20
Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 46.4 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute. At what percentile is the child's reading level (round final answer to one decimal place)?
Answer:
The child's reading level is at the 3.4th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute.
This means that [tex]\mu = 90, \sigma = 24[/tex]
You find an individual that reads 46.4 word per minute. At what percentile is the child's reading level?
The percentile is the p-value of Z when X = 46.4, multiplied by 100. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{46.4 - 90}{24}[/tex]
[tex]Z = -1.82[/tex]
[tex]Z = -1.82[/tex] has a p-value of 0.034.
0.034*100 = 3.4
The child's reading level is at the 3.4th percentile.
What is the slope of the line that is parallel to the line y = -2x + 5?
slope =
Answer:
-2
Step-by-step explanation:
Slope intercept form is
y = mx + b
Where m is the slope
Parallel lines have the same slope
----------------------------
y = -2x + 5
is in slope intercept form
the slope, m = -2
The slope of the parallel ine will be the same
m = -2
Hello there!
Parallel lines have the same slope.
So if one line has a slope of -2, then the slope of the line parallel to it is -2 as well.
Hope it helps! :)
If you have any query, please feel free to ask me! :)
~An excited gal
[tex]MagicalNature[/tex] here to help
Use triangles to find the sum of the interior angle measures of the polygon.
SHOW YOUR WORK.
The sum of the interior angle measures of the polygon is 900 degrees
How to determine the sum of interior angles
From the image shown, we can see that the polygon has 7 sides.
A polygon with seven sides is called a heptagon
It is important to note that the number of triangles in a heptagon is 5.
Also, the sum of angles in a triangle is 180 degrees.
Now, the formula for calculating the sum of interior angles of a polygon is expressed as;
= (n - 2) 180
Where; n is the number of sides of the polygon
Substitute the value
= (7-2)180
Subtract the value
= 5(180)
= 900 degrees
Hence, the sum is 900 degrees
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Max kicks a football up at a velocity of 25 meters per second. If the ball makes contact with his foot 0.5 meter off the ground, how long will the ball stay in the air?
Answer:
25*0.5 = 12.5
Find three consecutive integers such that 4 times the first decreased by the second is 12 more than twice the third
The three consecutive number are 17 , 18 and 19 respectively
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
Let the first number be = x
Let the second number be = ( x + 1 )
Let the third number be = ( x + 2 )
Now ,
A = 4 times the first decreased by the second is 12 more than twice the third
Substituting the values in the equation , we get
4x - ( x + 1 ) = 12 + 2 ( x + 2 )
On simplifying the equation , we get
4x - x - 1 = 12 + 2x + 4
3x - 1 = 16 + 2x
Subtracting 2x on both sides of the equation , we get
x - 1 = 16
Adding 1 on both sides of the equation , we get
x = 17
Therefore , the value of x is 17
Hence , the consecutive numbers are 17 , 18 and 19
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(Please help) (one question) (NO LINKS)
Answer:
0.25
Step-by-step explanation:
hope that helps!!!!!!!!!!!!!!!!!!!! :)
no links please
Evaluate 10v for v = -8.
A.
2
B.
-90
C.
80
D.
-80
i will give Brainiest if you are right
Answer:
G
Step-by-step explanation:
only 3 more brailiest and I will become an expert : )
Answer:
The option 'J' is the correct order from least to greatest