Complete the statements to find the limit. lim x→3 x2 + 2x − 3 x2 + 4x − 5 = The numerator can be factored as . The denominator can be factored as . The common factor of can be divided out of the numerator and denominator. The limit is .
ANSWERS:
1. C
2. D
3. B
4. A
Answers
Your choices are all correct.
Numerator: x ² + 2x - 3 = (x + 3) (x - 1)
Denominator: x ² + 4x - 5 = (x + 5) (x - 1)
Common factor: x - 1
Then
lim [x → 3] (x ² + 2x - 3) / (x ² + 4x - 5)
= lim [x → 3] (x + 3) / (x + 5)
= (3 + 3) / (3 + 5)
= 6/8 = 3/4
Answer:
ANSWERS:
1. C
2. D
3. B
4. A
Step-by-step explanation:
Related Questions
Parallelogram MNPQ was dilated to create parallelogram M'N'P'Q'.
On a coordinate plane, 2 parallelograms are shown. Parallelogram M N P Q has points (2, negative 2), (4, negative 2), (3, negative 3), and (1, negative 3). Parallelogram M prime N prime P prime Q prime has points (5, negative 5), (10, negative 5), (8, negative 7), and (3, negative 7).
Which statements are true about the parallelograms? Select three options.
The length of side MN is 2 units.
The length of side M'N' is 5 units.
The image is smaller than the pre-image.
Sides MQ and M'Q' both have the same slope, 1.
The scale factor is Two-fifths.
Answers
Answer:
134
Step-by-step explanation:
yeah no
“Snoqualmie” is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table.
Answers
Answer: E ( (17)(50)/88 )
Step-by-step explanation:
(Row total * column total) / table total
The table gives information about the heights of 35 girls.
Height (h metres)
Frequency
1.30
11
1.40
9
1.50
7
1.60
6
1.70
2.
2
(a) Find the class interval that contains the median.
(b) Work out an estimate for the mean height.
Answers
Answer:
use ratio method but you start with division
The graph represents the number y of attendees to a market research conference after x years.
Write an exponential function that represents the number of attendees to the conference.
Answers
Ok, I hope im right. (Others correct me if im not. But when I worked out this problem I got y is approximatly 4,882 attendees after 6 years.
Gathering info from the graph I created a table
(0,20) , (1,30) , (2,45), ...
I found the difference between the points listed. For example, 30÷20 is 1.5. So, each point is multiplied times 1.5 to continue the sequence.
Use the equation: y=a(1+r)^t
Remember what each variable stands for. That way you can plug in the correct information
Continuing..
y=a(1+r)^t
y=20(1+1.5)^t ; combine like terms
y=20(2.5)^t
b) Plug in the # of years. 6 in our case, everywhere you see a t
y=20(2.5)^6
y is approximately equal to 4882.8125
Round because we can only have whole numbers. we're talking about people.
I hope I got this right. But, if not, I tried
can you please help me
Answers
Answer:
The answer is b.
Step-by-step explanation:
45 divided by 5 is 9
You can double check by doing 5*9
CAN SOMEONE PLZ ANSWER THIS ITS DUE AT 11:59 APRIL 11 2021 AND ILL MARK U BRAINLIST
ITS ON THAT PICTURE PLZ
Answers
Answer:
C. 586.2 cm²
Step-by-step explanation:
Area of the figure = area of triangle + area of rectangle + area of semicircle
= (½*b*h) + (L*W) + ½(πr²)
Where,
b = 18 cm
h = 7 cm
L = 22 cm
W = 18 cm
π = 3.14
r = ½(18) = 9 cm
Substitute
Area = (½*18*7) + (22*18) + ½(3.14*9²)
Area = 63 + 396 + 127.17
Area = 586.17 ≈ 586.2 cm²
The width of a rectangle is 2 3/8 inches. The rectangle is 1 3/4 inches longer than it is wide Find the Length of the rectangle and preimeter of the rectangle
Answers
Answer:
We need to find length and width. To find two unknowns we need two equations.
P = 2L + 2W = 34
L = W + 3
34 = 2(W + 3) + 2W
34 = 2W + 6 + 2W
28 = 4W
W = 7
L = 7 + 3 = 10
The length is 10 inches and the width is 7 inches.
Step-by-step explanation:
2(a+b)+ 4m(a+b) factor out the greatest common factor
Answers
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
[tex]gcf = 2(a + b)[/tex]
Factor out the GCF.
[tex]2(a + b)( \frac{2(a + b)}{2(a + b)} + \frac{4m(a + b)}{2(a + b)} [/tex]
now, Simplify each term in parentheses.
[tex]2(a + b)(1 + 2m)[/tex]
hence, if we factor out the GCF (greatest common factor), we get the answer 2 (a + b) (1 + 2m).
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.
Answers
9514 1404 393
Answer:
968
Step-by-step explanation:
The area of the top and sides is given by the formula ...
A = LW +2H(L +W)
A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)
A = (360 +16(38)) cm² = 968 cm²
Since the tiles are 1 cm², 968 tiles are needed.
help please I'm not the smartest lol
Answers
Answer:
Acute angle
Step-by-step explanation:
please help asap
photo attached
choices are
A. -8
B. -6
C. 0
D. 22
Answers
Function g is a transformation of the parent sine function such that g(x) = sin(x - pi) - 2. which graph represents function g?
(answer choices in the picture)
Answers
The graph of the function g is graph (c)
How to determine the graph of function g?The function g is given as:
g(x) = sin(x - pi) - 2
The transformation of the parent function that gives the function g is:
Translate the parent function to the right by pi unitsTranslate the parent function downward by 2 unitsUsing the above highlight as a guide, the graph of the function g is graph (c)
Read more about function transformation at:
https://brainly.com/question/26092237
Answer:
its graph c, i got it correct on endgenuity
Step-by-step explanation:
what is 479.96 ÷ 129.72? one answer
Answers
Answer:
3.69996916435
Step-by-step explanation:
Answer:
the answer is 3.69996916
the answer in one number would be 4 because it's rounded to the nearest whole number
3^-3 simplify the expression
Answers
Answer:
.037037037
Step-by-step explanation:
Answer:
1/1
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 3 is 3.
3 ÷ 33 ÷ 3.
Reduced fraction: 11. Therefore, 3/3 simplified to lowest terms is 1/1.
¿para cuantos días alcanza una bolsa de 7,5 kg de alimento balanceado, si la ración diaria que le dan al perro de paula equivale a las dos quintas partes de 1kg?
Answers
Answer:
7,5*1000/2=37,5
Step-by-step explanation:
Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost her to send 6 small packages
and 7 large packages?
Answers
Answer:
$35.70
Step-by-step explanation:
small package: 2.10×6=12.60
large package: 3.30×7=23.10
total: 23.10+12.60=35.70
Find the Surface Area
of the Triangular
Prism Net
Each mark represents 1
centimeter.
PLS HELP!! WILL MARK AS BRAINLYIST!!!
Answers
Answer:
119 sq cm
Step-by-step explanation:
(5 * 8) + (4 * 8 * 2) + (5 * 3)
Answer:
116
Step-by-step explanation:
4×3=12
8×5=40
4×8×2=64
12+40+64=116
Simplify 5 to the 2nd power * 5 to the 9th power
Answers
Answer:
Thee first one is 25 and the second one is 1,953,125
Step-by-step explanation:
You just times each one by five. If you want to simplify it tho it would be as the first one is 12,5 the second one is 976562.5. Hope it helps
5 to the 11th power. (2+9=11)
For exponents with the same base, we keep the same base and add the exponents
HELP ITS TIMED WILL GIVE BRAINLYIST
Answers
Answer:
C
Step-by-step explanation:
100 POINTS PLEASE HELP
Heather is building a ladder for her tree house. She will need 13 feet of lumber for each stilt and 2 feet of lumber for each rung on the ladder. How many feet of lumber does she need for a ladder with 2 stilts and 12 rungs?
29 feet because 2 + 13 + 12 + 2 = 29
50 feet because 2 (13) + 12 (2) = 50
160 feet because 13 (12) + 2 (2) = 160
210 feet because (2 + 13) (12 + 2) = 210
right answer gets brainiest
Answers
Answer: It's B 50
Step-by-step explanation:
2 Select the correct answer. Adrianna is using exponential functions to model the value, in whole dollars, of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, xis the number of years she has held the investment.
Answers
Answer: A.
Both investments are decreasing in value, and investment A is decreasing in value faster.
Step-by-step explanation:
The number 36 is 1296 of:
Answers
squareroot
√1296 = 36
HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ☺️
Answer please and explain
Answers
Answer:
Volume of cone = 72 ft³
Step-by-step explanation:
diameter = 6ft
radius = 3ft
height = 8ft
Volume of a cone = [tex]\frac{\pi r^2h}{3}[/tex]
V = (3 × 3 × 3 × 8)/3
V = 72 ft³
Answer:
V ≈ 72 ft³
Step-by-step explanation:
Given that volume (V) is calculated using
V = [tex]\frac{\pi r^2h}{3}[/tex] ( r is the base radius and h the height )
Here diameter d = 6 then r = 6 ÷ 2 = 3 and h = 8 , then
V = [tex]\frac{3(3^2)(8)}{3}[/tex] ( cancel 3 on numerator/ denominator )
= 9 × 8
= 72 ft³
A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 263 cars owned by students had an average age of 7.25 years. A sample of 291 cars owned by faculty had an average age of 7.12 years. Assume that the population standard deviation for cars owned by students is 3.77 years, while the population standard deviation for cars owned by faculty is 2.99 years. Determine the 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty. Step 1 of 3: Find the point estimate for the true difference between the population means.
Answers
Answer:
The point estimate for the true difference between the population means is 0.13.
The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.
Step-by-step explanation:
To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.
A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.
This means that:
[tex]\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325[/tex]
A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.
This means that:
[tex]\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753[/tex]
Difference between the true mean ages for cars owned by students and faculty.
Distribution s - f. So
[tex]\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13[/tex]
This is also the point estimate for the true difference between the population means.
[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912[/tex]
90% confidence interval for the difference:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = zs = 1.645*0.2912 = 0.48[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years
The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.
The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.
Given: RT ≅ TV and ST ≅ TU
Prove: RSVU is a parallelogram.
Quadrilateral R S V U is shown. Diagonals are drawn from point R to point V and from point S to point U and intersect at point T. The lengths of R T and T V are congruent. The lengths of U T and T S are congruent.
Statements
Reasons
1. RT ≅ TV;
ST ≅ TU 1. given
2. ∠RTS and ∠VTU are vert. ∠s;
∠RTU and ∠VTS are vert. ∠s 2. definition of vertical angles
3. ∠RTS ≅ ∠VTU;
∠RTU ≅ ∠VTS 3. vertical angles are congruent
4. ? 4. SAS congruency theorem
5. ∠VRS ≅ ∠RVU; ∠USR ≅ ∠SUV;
∠VRU ≅ ∠RVS; ∠RUS ≅ ∠USV 5. CPCTC
6. ∠VRS and ∠RVU, ∠USR and ∠SUV, ∠VRU and ∠RVS, ∠RUS and ∠USV are each a pair of alternate interior angles 6. definition of alternate interior angles
7. RS ∥ UV and RU ∥ SV 7. converse of the parallelogram diagonal theorem
8. RSVU is a parallelogram 8. definition of parallelogram
What is the missing statement in step 4?
△RTS ≅ △VTU and △RTU ≅ △VTS
△RTS ≅ △RVS and △RTU ≅ △STV
△VRS ≅ △VRU and △USR ≅ △USV
△VUR ≅ △VUS and △UVS ≅ △SRU
Answers
Answer:
△RTS ≅ △VTU and △RTU ≅ △VTS should be your answer :)
Answer:
A
Step-by-step explanation:
Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS
Answers
Answer:
How can you determine whether a given number makes an equation true?
Determine whether a number is a solution to an equation.
Substitute the number for the variable in the equation.
Simplify the expressions on both sides of the equation.
Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
Find the median of the data in the dot plot below.
Answers
Answer:
41
Step-by-step explanation:
41 cause its the middle
which of the following statements are true of the discriminant?
Answers
Answer:
A,B,C
Step-by-step explanation:
Use the remainder theorem and synthetic division to find f(k) for the given value of k.
Answers
Answer:
3
Step-by-step explanation:
Given that,
[tex]f(x) =-x^3-8x^2-15x+3[/tex]
We need to find the value of f(x) when k = -5
Put x = -5 in th given function.
So,
[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]
Hence, the value of the given function is equal to 3.
13. Using figure 1, angles 5 and 6 form a linear pair, If mz6=95", find m25.
a. 5°
b. 85"
c. 90°
d.95"
14. In figure 1, 25 and 28 are vertical angles. If m2s 2x + 45 and m28= 7x - 15
What is the value of x ?
a.6
b. 12
c.9
d. 21
paki answer po plss
Answers
In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.
