Answers
Answer:
Step-by-step explanation: <
Answer:
(b) 1/3
Step-by-step explanation:
A function "zero" is a value of x that makes the value of the function be zero. It may also be called a "root" of the function. On a graph, it is an x-intercept.
The zeros are the solutions to the equation f(x) = 0. For a quadratic like the one given, there are two of them. For this function, they are distinct, so one will be larger than the other.
GraphThere are a number of ways the solutions to this equation can be found. Technology, in the form of a graphing calculator, can show you the x-intercepts easily (see attached). They are x=-2/5 and x=1/3.
FactoringWe can also factor the equation. Doing this requires that we find factors of the product (15)(-2) = -30 that have a sum equal to the coefficient of x, +1. Here are some factor pairs:
-30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)
The corresponding sums are 29, 13, 7, 1. Hence the last factor pair, {-5, 6}, is the one we need.
Rewriting the 3-term polynomial to a 4-term polynomial by splitting the middle term using these factors, we have ...
15x² -5x +6x -2 = 0
Factoring pairs of terms gives ...
5x(3x -1) +2(3x -1) = 0
(5x +2)(3x -1) = 0 . . . . . . . factor out the common factor
The product of these factors can only be zero of one of them is zero. (This is the "zero product rule.") Setting the factors to zero, we find the values of x that make f(x) = 0: the zeros of the function.
5x +2 = 0 ⇒ x = -2/5
3x -1 = 0 ⇒ x = 1/3
The zeros of the function are -2/5 and 1/3.
The larger zero is 1/3.
Related Questions
Find the approximate volume of a cylinder that has a diameter of 16 in. and a height of 10 in. Use 3.14 for π.
You may use your formula sheet and a calculator.
Question 4 options:
502.4 in³
2009.6 in³
251.2 in³
8038.4 in³
Answers
The answer is option C( 2009.6)
[tex] {in}^{3} [/tex]
Answer:
2009.6 in^3
Step-by-step explanation:
The formula for finding the volume of a cylinder is:
V=Bh
B= area of the base
h= height
Diameter= 16 radius= 16/2=8
V= (3.14*8^2)10
V= (3.14*64)10
V= 200.96(10)
V= 2009.6 in^3
PLEASE HELP ASAPPP
Explain how to prove that an image is the dilation of a preimage in the coordinate plane.
Answers
Answer:
Look at the longest side of the original figure and then look at the longest side of the new figure.
Step-by-step explanation:
Say the dilation was by 1/2, if the longest side on the original figure is 6, the longest side on the new figure should be 3. Or if the dilation was 4, if the longest side of the original figure is 3, the longest side of the new figure should be 12. After doing that, check all of the other sides with the dilation in mind and check if it adds up.
Which data set contains an outlier?
{6.1, 6.8, 7.3, 8, 9.1, 9.5}
{14, 15, 16, 20, 22, 25, 51}
{30, 31, 31, 32, 34, 37}
{11, 12, 12, 12, 13, 13, 14, 14}
Answers
Answer:
The second one has an outlier. (51)
Step-by-step explanation: I see a 51 and the rest are 14,15,20,22 which are all close to each other. 51 is much farther than those numbers.
Dave gave Heather directions on how to find where he had buried a box in his backyard. He didn’t want to make it easy for her, so he gave her complicated directions. This is what he said:
When you walk out of the back door of the house, you will be facing east. From there, walk straight ahead 10 feet. Turn 45° to your left, and then walk 5 feet. Next, turn 25° to your right and walk 12 feet. Finally, turn 110° to your right and walk 20 feet.
Based on these directions, which way will Heather be facing when she reaches the place where Dave buried the box?
Answers
Answer: She will be walking south or 90 degrees
Step-by-step explanation:
She walks ten spaces forward from where she started meaning the east
She turns 45 degrees left which places her at northeast
The walking doesn't affect her direction
So look at it like -45+25+110
This equals 90 degrees or south.
Answer:
Step-by-step explanation:
somebody had a seizure while making this question, please help
Answers
Check the picture below.
[tex]\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}asn ~~ \begin{cases} a=apothem\\ n=\stackrel{side's}{number}\\ s=\stackrel{side's}{length}\\[-0.5em] \hrulefill\\ a=7\\ s=8.1\\ n=6 \end{cases}\implies \stackrel{\textit{area of the hexagonal base}}{A=\cfrac{1}{2}(7)(8.1)(6)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{volume of a prism}\\\\ V=Bh ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(7)(8.1)(6)\\ V=3572.1 \end{cases}\implies 3572.1=\cfrac{1}{2}(7)(8.1)(6)h \\\\\\ 3572.1=170.1h\implies \cfrac{3572.1}{170.1}=h\implies \boxed{21=h}[/tex]
well, the length of the tunnel is "h", now two 8 meters cars, that's 8+8=16 meters plus a 3 meter connector between them, that's 16 + 3 = 19 meters, can those two cars connected like so fit inside the tunnel? sure thing, "h" can fit 19 meters just fine.
PLSS help
Elsa used 23 of a cup of sugar in chocolate cupcakes and 34 of a cup of sugar in vanilla cupcakes. Which choice is the MOST reasonable for how much more sugar Elsa used in the vanilla cupcakes?
A)7/12 cup
B) 1/2 cup
C) 1/6 cup
D)1/12 cup
Answers
Explanation:
Since it says how much MORE, we subtract. SO
3/4 - 2/3= 1/12
Answer:
1/2 cup
Step-by-step explanation:
Subtract 34 - 23 = 11 AND the closed number is 12 which is 1/12.
Hope this helps!
Select the correct response for each blank.
Choose...
A. Adenine
B. Phosphate
C. Uracil
and
Choose...
A. Deoxyribose sugar
B. Hydrogen bond
C. Nitrogenous base
form the sides (backbone/handrails) of the DNA ladder.
Answers
Answer:
a,b
Step-by-step explanation:
What is the balance point of the data set?
Answers
Answer:
3.5
Step-by-step explanation:
Reflecting shape A in y = -x line.
Answers
Answer:
given this points
Step-by-step explanation:
-5,2
-8,2
-5, 3
all reflected across the x axis making the y values stay the same for no vertical shifts
ANSWER THIS PLEASE-DUE TOMORROW!!!!
Answers
Answer: 6 more games
Step-by-step explanation:
Let’s review what we know:
The red team’s probability of winning is 70% (0.7).The blue team’s probability of winning is 65% (0.65).There are a total of 120 games.
To find the amount of games each team will statistically win, we multiply the percentage by the number of games.
Red Team: 0.7 x 120 = 84 games.
Blue Team: 0.65 x 120 = 78 games.
84 - 78 = 6 games.
Therefore, the red team will statically win 6 more games than the blue team.
Mira rode her bicycle 20 km in 2 h. At that rate, how far did Mira ride each hour? Each half hour?
Answers
What is the sales tax on a refrigerator priced $1269, if the sales tax rate is 6.7%?
Answers
Answer:
sales tax: $85.023
Explanation:
Original or actual price is always of 100%
Solving:
100% = $1269
Find the unit percent :
1% = $(1269/100) = $12.69
Find the sales tax :
$12.69 × 6.7 = $85.023
Help me out with this math problem for 50 points!!!
Answers
Answer:
1. -15 or negative 15
2. +30 dollars
3. - 6 yards
Step-by-step explanation:
Answer:
Not sure if this is correct, but I'd guess...
-15
+30
and -6?
Step-by-step explanation:
They all represent integers
15 feet below 0 is -15, and a deposit of 30 dollars would give you 30 because you're depositing to gain interest, as well as losing 6 yards in a football game would in turn -6 yards to your current total
hurry ill give brainly
Answers
The dot plots below show the scores for a group of students for two rounds of a quiz:
Which of the following inferences can be made using the dot plots?
A. The range of each round is the same.
B. There is no overlap between the data.
C. Round 1 scores were higher than round 2 scores.
D. Round 2 scores were lower than round 1 scores.
Answers
Answer: A. The range of each round is the same.
Step-by-step explanation:
Below shows the total score for both rounds. As you can see the totals for both rounds are very close so their range is most likely the same.
Round 1
(2 x 2) + (3 x 3) + (4 x 2) + 5 = 26
4 9 8
Round 2
(3 x 2) + (4 x 3) + (5 x 2) + 2 = 30
6 12 10
19. A girl has four skirts and six blouses. How many different skirt-blouse combiNtions can she wear?
Answers
Solve the Expression
x-3(5x-6)=3-10x
Find the value of "x"
Answers
Explanation:
Answer:
15/4 or 3.75
Step-by-step explanation:
x - 15 x + 18 = 3 - 10x
15 = 4x
x = 15/4 or 3.75
22. MULTIPLE CHOICE What number is 0.02% of 50? (Skills Review Handbook) (A) 0.01 (B) 0.1 (C) 1 (D) 100
Answers
Answer:
[tex]x = 1[/tex]
Then the answer is C
Step-by-step explanation:
1) Set a linear equation
[tex] \frac{2}{100} = \frac{x}{50} [/tex]
2) Cross multiply
[tex]100x = 2 \times 50[/tex]
3) Multiple the right side
[tex]100x = 100[/tex]
4) Divide both side by 2
[tex] \frac{100x}{100} = \frac{100}{100} [/tex]
5) Solving the linear equation
[tex]x = 1[/tex]
The answer is (C)
please help! I will give brainliest
If the blueprint is drawn on the coordinate plane with vertices (1, 5) and (11, 15) for the corners labeled with red stars, would that be an accurate representation of the length of the diagonal of the square C? Show your work and explain your reasoning.
Answers
Yes that will be an accurate representation
Step-by-step explanation:
Since there is a right triangle so we know for a fact that these all all squares. All squares can be cut in half and the vertices will meet up
Can someone pls help me? I haven't been working on this since I was on vacation :/
Answers
Answer:
m=36 degrees
Step-by-step explanation: if the lines p and q are parralel and inside angles are equal y will be equal to u
Step-by step:
Alternate interior angles are =
If the following rectangular prism's width is doubled, what will happen to the volume?
a. The volume will increase by 1,914 sq. ft.
b. The volume will be doubled.
c. The volume will increase by 1,410 sq. ft.
d. The volume will increase by 1,344 sq. ft.
Answers
Answer:
Possibly b
Step-by-step explanation:
IM pretty sure because the width is around the volume
sorry if im wrong but im pretty sure that it is B
What is the scale factor of ABC to A'B'C'?
Please help!! ASAP if you help with this PLEASE HELP WITH MY LAST QUESTION I ASKED!!! (it’s worth a lot of points!)
Answers
(PLS HELP MY TEACHER WANTS ME TO PASS THIS!) Which line on the graph is the image of the line y = 2x after a transition of 3 units along the x-axis and 4 units along the y-axis?
Line A
Line B
Line C
Line D
Answers
Line y=2x ==> No matter what value Y gets, X is always half of it
But X was transitioned by 3 units and Y by 4, so let's pull them back down
==> y-4 = 2x-3
Upon verifying each of the lines with y = 6:
A. 6-4 = -4-3 ==> 2 = -7. A falls
B. 6-4 = 4-3 ==> 2 = 1. B falls, but this one's the closest to truth
C. 6-4 = 8-3 ==> 2 = 5. C and D will obviously fail because X is so far ahead.
Out of testing, B is the only correct answer, despite the answers being close instead of true
Cost price: $152 Markup: 50% Selling price: ?
Answers
Answer:
228
Step-by-step explanation:
If the selling price is 50% we need to find 50 percent of 152, which is 76. And add that to 152
152+76=228
Answer:
Step-by-step explanation:
Facts
When you have a percentage markup question, find the percentage of the original amount, then add that number to the original.
MarkUP: add
original cost: $152
mark up of 50%
Step 1: Find 50% of 152
50% of 152= 76
Step 2: Add to get the final price
76+152= 228
Selling price= $228
Hope this helps :)))
A retail store mailed out 350 shipments. 14% of the shipments arrived late.
How many shipments arrived late?
Enter your answer in the box.
shipments
Answers
Answer:
49
Step-by-step explanation:
0.14x350 = 49
Patricia paid $285 for 3 nights at a hotel. What was the nightly rate for her room?
Answers
Answer:
Praticia paid $95 nightly.
Then 1 night = $285/3*1
Nightly rate= $95
i need some help with this!! i want my grade to go up
Answers
the square root of 61 is close to the square root of 64, which is 8
24 + 8 = 32
32/4 = 8
BRAINLIEST? thank you!! :DD
24+8=32
32/4=8
the square root of 64 is 8
X- 3/4 =3/4 Please help me I’m been stuck on this
Answers
Answer:
The answer us x=0 sorry for the short explanation
Answer: x= 0
Step-by-step explanation:
x= 0
You scored a 95% on your math quiz. The quiz was out of 60 points. How many points did you get?
A
59.05 points
B
55 points
C
58 points
D
57 points
Answers
Answer:
[D] 57
Step-by-step explanation:
Since the quiz was out of 60 point.
Then,
Using the formula:
Question correct ÷ Total × 100
1 ÷ 60 × 100 = 1.66666666667
2 ÷ 60 × 100 = 3.33333333333
3 ÷ 60 × 100 = 5
4 ÷ 60 × 100 = 6.66666666667
5÷ 60 × 100 = 8.33333333333
6÷ 60 × 100 = 10
7÷ 60 × 100 = 11.6666666667
8÷ 60 × 100 = 13.3333333333
9÷ 60 × 100 = 15
10÷60 × 100 = 16.6666666667
11÷ 60 × 100 = 18.3333333333
12÷ 60 × 100 = 20
13÷ 60 × 100 = 21.6666666667
14÷ 60 × 100= 23.3333333333
15÷ 60 × 100 = 25
16÷ 60 × 100 = 26.6666666667
17÷ 60 × 100= 28.3333333333
18÷ 60 × 100 = 30
19÷ 60 × 100 = 31.6666666667
20÷ 60 × 100 = 33.3333333333
21÷ 60 × 100 = 35
22÷ 60 × 100 = 36.6666666667
23÷ 60 × 100 = 38.3333333333
24÷ 60 × 100 = 40
25÷ 60 × 100 = 41.6666666667
26÷ 60 × 100 = 43.3333333333
27÷ 60 × 100 = 45
28÷ 60 × 100 = 46.6666666667
29÷ 60 × 100 = 48.3333333333
30÷ 60 × 100 = 50
31÷ 60 × 100=51.6666666667
32÷ 60 × 100= 53.3333333333
33÷ 60 × 100=55
34÷ 60 × 100= 56.6666666667
35÷ 60 × 100= 58.3333333333
36÷ 60 × 100=60
37÷ 60 × 100=61.6666666667
38÷ 60 × 100=63.3333333333
39÷ 60 × 100=65
40÷ 60 × 100 = 66.6666666667
42÷ 60 × 100=70
43÷ 60 × 100=71.6666666667
44÷ 60 × 100=73.3333333333
45÷ 60 × 100=75
46÷ 60 × 100=76.6666666667
47÷ 60 × 100=78.3333333333
48÷ 60 × 100=80
49÷ 60 × 100 = 81.6666666667
50÷ 60 × 100=83.3333333333
51÷ 60 × 100=85
52÷ 60 × 100=86.6666666667
53÷ 60 × 100=88.3333333333
54÷ 60 × 100=90
55÷ 60 × 100=91.6666666667
56÷ 60 × 100=93.3333333333
57÷ 60 × 100=95
Hence, the answer is [D] 57
Kavinsky
You scored 57 points on your math quiz. the correct answer would be an option (D).
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
You scored a 95% on your math quiz.
You have to determine the evaluation of 95% of 60.
⇒ 95% of 60
95% is expressed as 15/100 in fractional form
⇒ (15/100)(60)
95/100 is expressed as 0.95 in decimal form
⇒ (0.95)(60)
Apply the multiplication operation, and we get
⇒ 57
Therefore, 95% of 60 would be 57.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ5
The measures of two angles of a triangle are 39° and 49°. Find the measure of the third angle.
Answers
Answer:
x=92
Step-by-step explanation:
[tex]\hookrightarrow Solution,\\\\\hookrightarrow Here,\:two\:angles\:of\:triangle\:are\:39\:and\:49\\\\\hookrightarrow Let,\:the\:third\:angle\:be\:x\\\\Now,\\\\\hookrightarrow 39+49+x=180[Sum\:of\:all\:angles\:of\:triangles\:is\:180}\\\\\hookrightarrow x=180-39-49\\\\\hookrightarrow x=92[/tex]
Answer: 92˙
Step-by-step explanation:
All 3 of the measures in a triangle must add up to 180.
Step 1: Add
39+49= 88
Step 2: Subtract to find the missing angle
180-88= 92
Hence, the measure of the missing angle is 92 degrees.
Hope this helps :)) brainliest would be appreciated :D
