Answer:
(-3,-76)
Step-by-step explanation:
(22x2 + 24x) - 40 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
4x2 + 24x - 40 = 4 • (x2 + 6x - 10)
Trying to factor by splitting the middle term
3.2 Factoring x2 + 6x - 10
The first term is, x2 its coefficient is 1 .
The middle term is, +6x its coefficient is 6 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 1 • -10 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is 6 .
-10 + 1 = -9
-5 + 2 = -3
-2 + 5 = 3
-1 + 10 = 9
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 3:
4 • (x2 + 6x - 10) = 0
STEP 4:
Equations which are never true:
4.1 Solve : 4 = 0
Solving systems by elimination.
Answer:
These are the answers :) If you have any questions feel free to ask!
1. (1,3)
2. (6,6)
3. (-1,-2)
4. (6,3)
18. Elijah is making a batch of cookies.
He needs 1 cups of butter.
A pound of butter cost $3.50.
A pound of butter contains 2 cups.
What is the cost of butter for the batch of cookies?
5. ¿Cuál es el resultado de simplificar a su minima expresión el siguiente
polinomio?:
2
3 3*
xy2 + 2x + 3xy2 + {x?y=5x
Answer:
El polinomio final es:
[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]
Step-by-step explanation:
Agrupemos los términos con las mismas variables:
[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]
Sumemos estos terminos:
[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]
Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.
Por lo tanto el polinomio final es:
[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]
Espero te haya servido.
El resultado de simplificar [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es
[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]
El polinomio que queremos simplificar es
[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]
primero, recopilamos términos similares
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]
luego simplificamos los términos similares. Es decir
Para el [tex]xy^2[/tex] términos:
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]
y para el [tex]x[/tex] términos:
[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]
la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.
Este es el trabajo total:
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]
Incluso podemos factorizar la respuesta final para obtener
[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]
Obtenga más información sobre la simplificación aquí: https://brainly.com/question/25014973
a) What fraction is equal to 50% of
1/3
?
b) What fraction is equal to 75% of 1
?
Please help. Will give brainliest
Answer:
use [tex]y^{2}[/tex]~[tex]mx_{1}[/tex]+b to answer your question
Step-by-step explanation:
Three lines intersect at point P, as shown in the diagram below.
Find the measure of angle VPQ.
Answer:
angle VPQ = 83°
I hope this may be helpful
Ill give brainliest to first person to answer CORRECTLY! I don't have all day.
34 + 2 ⋅ 5 = ____
Answer:
180
Step-by-step explanation:
34+2=
36
36 . 5=
180
Answer:
44
Step-by-step explanation:
2x5=10
10+34=44
hope this helped :3
Divide £9 in the ratio 2 : 1
Answer:
Step-by-step explanation:
pls answer this for meee
Answer:
x=35 degrees
Step-by-step explanation:
Since the other side is 90 degrees you would have to add 55 degrees + 35 degrees in order to get 90 degrees for both sides.
Answer:
35°Step-by-step explanation:
its perpedicular so it adds up to 90°, therefore 90-55=x and x =35
Find the area of each figure. Round to nearest tenths
is it just me or is anyone else getting less and less answers here like everyone just puts like “don’t know haha” or like a link it’s annoying
Answer:
Don't know hahaahahahaahahah
Answer:
I FEEL! ITS SO ANNOYING. I just need help
Step-by-step explanation:
Plsss help. giving extra points if correct.
Answer:
98?
Step-by-step explanation:
An article in Biotechnology Progress (Vol. 17, 2001, pp. 366–368) reported an experiment to investigate and optimize nisin extraction in aqueous two-phase systems (ATPS). The nisin recovery was the dependent variable (y). The two regressor variables were concentration (%) of PEG 4000 (denoted as x1) and concentration (%) of Na2SO4 (denoted as x2).
x1 x2 y
13 11 62.8739
15 11 76.1328
13 13 87.4667
15 13 102.3236
14 12 76.1872
14 12 77.5287
Requried:
a. Fit a multiple linear regression model to these data.
b. Estimate and the standard errors of the regression coefficients.
c. Test for significance of β1 and β2.
Answer:
ŷ = 7.02895X1 + 12.6959X2 - 170.33728
Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.
Step-by-step explanation:
Using stat calculator:
Part A:
x1 x2 y Predicted Y Residual
13 11 62.8739 60.693967 2.179933
15 11 76.1328 74.751867 1.380933
13 13 87.4667 86.085767 1.380933
15 13 102.3236 100.143667 2.179933
14 12 76.1872 80.418817 -4.231617
14 12 77.5287 80.418817 -2.890117
mean
14 12 80.418817 80.418817 0
standard deviation
0.89 0.89 13.2812 12.979739 2.813451
Calculation
Sum of X1 = 84
Sum of X2 = 72
Sum of Y = 482.5129
Mean X1 = 14
Mean X2 = 12
Mean Y = 80.4188
Sum of squares (SSX1) = 4
Sum of squares (SSX2) = 4
Sum of products (SPX1Y) = 28.1158
Sum of products (SPX2Y) = 50.7836
Sum of products (SPX1X2) = 0
Regression Equation = ŷ = b1X1 + b2X2 + a
b1 = ((SPx1y)*(SSx2)-(SPx1x2)*(SPx2y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 112.46/16 = 7.02895
b2 = ((SPx2y)*(SSx1)-(SPx1x2)*(SPx1y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 203.13/16 = 12.6959
a = MY - b1MX1 - b2MX2 = 80.42 - (7.03*14) - (12.7*12) = -170.33728
ŷ = 7.02895X1 + 12.6959X2 - 170.33728
X1-Mx1 X2-Mx2 Y-My (X1-Mx1)² (X2-Mx2)²
-1 -1 -17.545 1 1
1 -1 -4.286 1 1
-1 1 7.048 1 1
1 1 21.905 1 1
0 0 -4.232 0 0
0 0 -2.89 0 0
SSX1: 4 SSX2: 4
SPx1y SPx2y SPx1x2
17.545 17.545 1
-4.286 4.286 -1
-7.048 7.048 - 1
21.905 21.905 1
0 0 0
0 0 0
SPX1Y: SPX2Y: SPX1X2: =0
= 28.116 =50.784
Part B
Coefficient Table
Coefficient SE t- stat
x1 -170.337283 33.519576 -5.081725
x2 7.028950 1.816075 3.870408
b 12.695900 1.816075 6.990847
Part C:
Test for significance of β1 and β2.
State the null and alternate hypotheses as
H0: β1=β2=0
Ha: At least one of the β1 and β2 is non zero.
The significance level is set at ∝= 0.05
The test statistic to use is
F= MSR/ MSE= MS regression/ MS Residual
which if H0 is true has F distribution with υ1= 2 and υ2= n- 3= 6-3= 3 degrees of freedom.
To set up the ANOVA table we find the necessary sum of squares .
Regression SS ( between y^ and y`) = SSR= 842.368060
Residual SS ( between yi and y^) = SSE= 39.577526
Total SS = SSR+ SSE= 842.368060+39.577526= 881.945586
ANOVA table
Source DF Sum of Square Mean Square F Statistic
Regression
(b/w ŷi and yi) 2 842.368060 421.184030 31.926000
Residual
(b/w yi and ŷi) 3 39.577526 13.192509
Total (b/w yi and yi)5 881.945586 176.389117
The critical region is F≥F (0.05) (2,3)=9.55
Conclusion:
Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.
Please look at the image
Answer:
value for X
3x-4 =41
3x =41+4
3x =45
x =15
Emergency rooms have reason to suspect that visits increase on the weekends. A recent report indicates that Monday through Thursday represent 10% per day of the weekly total visits while Friday accounts for 15%, Saturday 25% and Sunday 20%. If your ER has the following pattern, Monday, 120, Tuesday, 130, Wednesday 110, Thursday 95, Friday 160, Saturday 280 and Sunday 105. Does your facility have the same pattern as the recent report at the 10% level
Answer:
No the facility dose not have the same pattern as the recent report at the 10% level
Step-by-step explanation:
To determine if the Facility have the same pattern ; Perform Chi squared test for Goodness of fit
state the hypothesis
H0 : μ = same pattern
Ha : μ ≠ same pattern
expected frequency ( E ) = proportion * summation of frequency
summation of frequency = 1000
degree of freedom = 7 - 1 = 6
Next : Calculate the expected frequency (E) , (O-E)²/E. given that the observed frequency and expected proportion is given
For Monday
expected frequency = proportion * frequency = 0.1 * 1000 = 100
(O-E)²/E. = ( 120 - 100 )^2 / 100 = 4.0.
observed frequency ( O ) , expected frequency ( E )
For Tuesday
E = 0.1 * 1000 = 100
(O-E)²/E = ( 130 - 100 )^2 / 100 = 9.0
Repeat same calculations for Wednesday through Sunday
Then perform Chi-squared test
X² = Σ(O-E)²/E = 63.642
∝ = 0.1
df = 6
hence P-value = 0.000 ( =chisq.dist.rt(test-stat,df)
since P-value < ∝ ; we will fail to reject Ha hence we reject H0
What is a decimal? A decimal is a type of fraction in which:
Possible answers:
A. The numerator is always 100
B. The denominator is always 100
C. Denominator is a power of 10
D. Numerator is a power of 10
Answer:
C. Denominator is a power of 10
Step-by-step explanation:
2. The two figures are similar. Consider Triangle 1 to be the pre-image and Triangle 2 to be the image. Write the similarity statement. Justify your answer by showing your work. (Hint: To justify your similarity statement, find the scale factor. What scale factor would you multiply the side lengths of Triangle 1 by to obtain the side lengths in Triangle 2)?
Triangle 1 Triangle 2
Answer: scale factor is 5:3
Step-by-step explanation: scale factor is length of bigger/length of smaller
60/36,40/24,50/30=5:3
Determine the area of the parallelogram below
-No links, docs, files or anything along that line
-lots of points
-will mark BRAINLYEST
Answer:
[tex]44.4 {m}^{2} [/tex]Step-by-step explanation:
Given,
Base of the parallelogram = 12m
Height of the parallelogram = 3.7m
Therefore,
Area of the parallelogram = base × height
= 12m × 3.7m
[tex] = 44.4 {m}^{2} (ans)[/tex]
Solve for x. Would like if both could be answered if not just answer one.
Last week Jovanna ran 30 miles more than Rachel. Jovanna ran
47 miles. How many miles did
Rachel run?
A. 30 + x = 47
B. 30 - x = 47
C. 47 + x = 30
D. 47x = 30
Answer: A
Step-by-step explanation:
if rachel is 'x' and jovanna ran 30 more miles than her, then jovanna ran 30+x miles
we know that jovanna ran 47 miles so we set both values equal to each other
30 + x = 47
which is option A :))
help please this is frinckin hard
Answer:
Hello! answer: r = 7
Step-by-step explanation:
Hi im sorry I will try to explain this the simplest way possible! so all of this will add up to 180 we know 1 angle is 55 and the 1 that isnt labelled is 90 because its a complementary angle leta add those and subtract so we can figure out what our last angle will have to equal so... 55 + 90 = 145
180 - 145 = 35 so now we know the last angle will have to equal 35 r is just a place holder its just representing something multiplied by 6 subtracted by 7 will equal 35 so...
6 × 7 = 42 and 42 - 7 = 35 So 7 is r!! Hope that helps!
The length of a rectangle is 2 yards longer than its width. If the perimeter of the rectangle is 64 yards, find its length and width.
Answer:
Length: 17 yards
Width: 15 yards
Step-by-step explanation:
If the length is 2 yards longer than the width, then the width is w, and the length is w+2
Equation for perimeter is [tex]P =2l+2w[/tex], where:
P = Perimeter
l = length
w = width
Plug in the values:
64 = 2(w+2) + 2w
Distribute:
64 = 2w + 4 + 2w
Combine like terms:
64 = 4w + 4
Subtract 4 from both sides:
60 = 4w
Divide 4 from both sides:
15 = w
So if w = 15, then
Width = w, which is 15 yards.
Length = w+2, which is 15+2 = 17 yards.
Hope this answer helped! :)
A random sample of the students at two high schools were asked whether they were satisfied or unsatisfied with their school's variety of
extracurricular activities. The results are summarized in the table.
Satisfied Unsatisfied Total
37
23
60
High School A
High School B
Total
42
18
60
79
41
120
What is the approximate probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities?
O A. 0.308
OB. 0.468
O c. 0.617
OD. 0.658
O E 0.790
Answer: D. 0.658
Step-by-step explanation:
A randomly selected student would be from either of the high schools so both high schools need to be taken into account.
The probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities can be calculated as:
= Number of students from both high schools that are satisfied / Total number of students in both high schools
= 79 / 120
= 0.658
Find the limit of the function algebraically lim (x^2 -36 / x+6 ) x ->6
9514 1404 393
Answer:
0
Step-by-step explanation:
The function is defined everywhere except at x=-6. The limit value is the function value at that point.
f(6) = (6^2 -36)/(6 +6) = 0/12 = 0
The limit of the function is 0 as x → 6.
Answer:
A. -1/12
Step-by-step explanation:
This is the correct answer.
I need help solving the picture below please
Answer:
x = 3
Step-by-step explanation:
From the given parallelogram;
m<XWC = m<XYC
Given
m<XWC = 2x+5
m<XYC = 3x+2
Equate
2x+5 = 3x+2
2x - 3x = 2 - 5
-x = -3
x = 3
Hence the value of x is 3
Name the circle part L shown in the figure.
O Arc
O Sector
O chord
O radius
Answer:
Step-by-step explanation:
Select the correct answer
Which dot plot represents this data set?
31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38
ОА.
....
..
...
:
.
х
31
32 33
34
35 36
37
38
39
OB.
...
.
32
33
34
35
36
37
38
Ос.
:
...
31
32
33
35
36
37
38
39
D.
...
..
...
.
31
32
33
34
38
29
О Е.
The correct dot plot represents this data set is shown in figure C.
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 data set is,
31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38
Now, From data set;
31 is repeated by 3 times
32 is repeated by 2 times
35 is repeated by 2 times
37 is repeated by 1 times
38 is repeated by 3 times
Hence, The correct dot plot represents this data set is shown in figure C.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Two gamblers, call them Gambler A and Gambler B flip a coin repeatedly. The coin is unfair and comes up heads 2/3 of the time. Gambler A wins one dollar from Gambler B, when a head is tossed. Conversely Gambler B wins one dollar from Gambler A when a tail is tossed. The coin tosses are independent. The game ends when one of the gamblers runs out of money. There are 5 dollars in the pot. Determine the probability that Gambler A wins the game if he starts with I dollars. Here I
Answer:
≈ 0.52
Step-by-step explanation:
P( head ) = 2/3 , P( tail ) = 1/3
when a head is tossed ; Gambler A wins $1
when a tail is tossed : Gambler B wins $1
Determine the P( Gambler A wins the game ) if he starts with I dollars
Assuming I = $1
n = 5
p ( head ) = P( winning ) = 0.66
p( losing ) = 0.33
applying the conditional probability in Markov which is ;
Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁
P( 1) = 0.66P₂ + 0.33P₀
resolving the above using with Markov probability
P( 1 ) = 0.51613
hence the probability of Gambler A winning the game if he starts with $1
≈ 0.52
Find the volume of the cube below.
Answer :
3.5 × 3.5 × 3.5 = 42.875
Degree and Radian Measures
Convert the angle to radians. Leave as a multiple of /pi (π)
610°
a. 61/pi/36
b. 25/pi/18
c. 61/pi/18
d. 61/pi/9
Please select from the best choices provided
Answer:
C. 61/pi/18
Step-by-step explanation:
I calculated logically