Answer:
Step-by-step explanation:
The trick here is that the equation factors.
y= 2x^2 + 11x + 5
y = (2x + 1)(x + 5)
So either
2x + 1 = 0 subtract 1 from both sides
2x = - 1 divide by 2
2x = -1/2
or
x + 5 = 0 Subtract 5 from both sides
x = - 5
Answer: B and D
Akili has two tests next week. The probability that he will pass the first test, science, is 34 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 45; otherwise, the probability is only 13 that he will pass the math test. If the probability he passes exactly one test can be expressed as mn for two relatively prime positive integers m and n, what is m n
Answer:
Following are solutions to the given question:
Step-by-step explanation:
First-test probability: [tex]\frac{3}{4}[/tex]
A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]
However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.
[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
One of the other.
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.
Answer:
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.
[my response: talk to them in formal language about the topic.]
Step-by-step explanation:
What did they ask on FLVS alegebra 1 honors moduel 7 dba
Answer:
its easy dont worry
Step-by-step explanation:
Find the diameter of the sphere with the volume of 36 pi cubic units
Answer:
[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ 36\pi = \frac{4}{3} \pi \times {(2d)}^{3} \\ \frac{36 \times 3}{4} = 8 {d}^{3} \\ 27 = 8 {d}^{3} \\ {d}^{3} = \frac{27}{8} \\ diameter = 1.5 \: units[/tex]
Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis.
Answer:
See explanation
Step-by-step explanation:
The coordinate of ABCD is not given; So, I will solve using general coordinates (x,y).
First, ABCD is dilated by 1/3.
The rule is:
[tex](x,y) \to \frac{1}{3}(x,y)[/tex]
This gives
[tex](x,y) \to (\frac{x}{3},\frac{y}{3})[/tex]
Next, it is reflected across y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex](\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]
So, the complete transformation is:
[tex](x,y) \to (\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]
Assume that:
[tex]A = (1,3)[/tex]
The transformation will be:
[tex]A' = (-\frac{1}{3},\frac{3}{3})[/tex]
[tex]A' = (-\frac{1}{3},1)[/tex]
and this is right or not
Please hurry I will mark you brainliest
It's a hot summer
day and the icecream truck is on it's way. The driver gives you two options:
1) You can have a cone that is doubled in radius but the same height as a regular cone.
OR
2) You can have a cone that is doubled in height but the same radius as a regular cone.
Which would you choose and why?
You can explain it or attach a picture of your work. ( please show it in math form)
Answer:
Option 1: Double the radius
Step-by-step explanation:
The formula for the volume of a cone is:
1/3[tex]\pi[/tex]r^2h
It squares the radius whereas it only multiplies by the height. Let's try both situations.
1. 1/3[tex]\pi[/tex](2)^2(1) --> 4/3
2. 1/3[tex]\pi[/tex](1)^2(2) --> 2/3
Option one is better.
If f(x) = -x2 – 1, and
g(x) = x + 5, then
f(g(x)) = [ ? ]x2+[? ]x+[?]
Answer:
-x^2-10x-26
Step-by-step explanation:
f(x) = -x^2 – 1, and
g(x) = x + 5
f(g(x)) = Plug g(x) in for x in f(x)
= -(x+5)^2 -1
= -(x^2 +10x+25) -1
= -x^2 -10x-25 -1
=-x^2-10x-26
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of k =?Next, we shall obtained the value of x from x + 2. This can be obtained as follow:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2Finally, we shall determine the the value of k. This can be obtained as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Value of k =?f(–2) = 0 since x + 2 is a factor
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10Therefore, the value of k is –10
Learn more: https://brainly.com/question/13587979
Consider the scenario and use complete sentences to answer the question.
Two players each roll an ordinary number cube. The sum is found of the two numbers showing. If the sum is an even number, player A gets 1 point. If the sum is an odd number, player B gets 1 point. The game ends after 6 rounds.
Is this a fair game? Use the possible results of the game to support your answer.
Answer:
yes both chances are 1/2 = equal
Step-by-step explanation:
Factorize the following by splitting the middle term:-
(a) 3x^2 +11x+30
Answer:
See explanation
Question has been corrected
Step-by-step explanation:
Given:
3x² + 11x + 30
To factorise, multiply the coefficient of x² by 30
= 3 * 30
= 90
Find two numbers that have a product of 90 and a sum of 11
** There are no such two numbers, therefore the question can't be solved using factorization
Correcting the error in the question:
x² + 11x + 30
To factorise, multiply the coefficient of x² by 30
= 1 * 30
= 30
Find two numbers that have a product of 30 and a sum of 11
6 and 5
6 + 5 = 11
6 * 5 = 30
x² + 11x + 30
= x² + 6x + 5x + 30
= x(x + 6) + 5(x + 6)
= (x + 6) (x + 5)
need help with this question plz picture of question added
Answer:
The domain of the function is (-2,&)
Can you answer this math homework? Please!
Evaluate the function.
f(x) = 4x² + 73 – 18
Find f(-9)
Answer:
379
Step-by-step explanation:
4(-9)²+73-18
4(81)+55
324+55
379
Find the 20th term of the following sequence.
-6, -4,-2, O,...
Step-by-step explanation:
An=-6+(20-1)×2
=-6+19(2)
=-6+38
=32
Passing through point (4, 9) and perpendicular to the line y= -1/5x -3
Answer:
y = 5x-11
Step-by-step explanation:
The slope intercept form of a line is y =mx+b where m is the slope
y = -1/5 x-3
The slope is -1/5
Lines that are perpendicular have negative reciprocal slopes
-1 /(-1/5)
-1 * -5/1
5
The slope of the line that is perpendicular is 5
y=5x+b
Using the point (4,9)
9 = 5(4)+b
9 = 20+b
9-20 =b
-11
y = 5x-11
please help with this too
Answer:
The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is approximately 125.66 square units
Step-by-step explanation:
The given parameters are;
The radius of the circle with center G, r = 15
The measure of the given angle, m∠AGB = 64°
The area of a sector is given as follows;
Area of a sector of a circle = (θ/360°) × π × r²
Therefore;
The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is given as follows;
The area of the sector in circle G = (64°/360°) × π × 15² ≈ 125.66 square units
Write the words that represent s + 21.
Answer:
A number s plus 21
Step-by-step explanation:
s+21
A number s plus 21
25 x square - 4y Square = 36 equation 1
5 x - 2 y=2equation 2
It is hard to find out question cn u pls take a pic and upload so it will more easier to find out the question
Anyone knows the answer?
Answer:
a) yes
b) y = -x
c) yes it goes thru the origin (0,0)
Step-by-step explanation:
a) x**2 + y**2 = 17
(-4)**2 + (-1)**2 = 17
16 + 1 = 17 YES
b) the slope of DE is
(y1 - y2)/(x1 - x2)
(-1 -4)/(-4 -1) = -5/-5 = 1, so a perpendicular segment will have a
slope of - 1/current slope or -1.
The midpoint of DE is
x = (x1 + x2)/2 = (-4 +1)/2 = -3/2
y = (y1 + y2)/2 = (-1 +4)/2 = 3/2 so
y = mx + b
y = -x + b plug in the point (-3/2,3/2)
3/2 = -(-3/2) + b
b = 0 SO y = -x
c) The circle equation dictates that it has no offset so centers around the origin (0,0) and the equation of the bisector y = -x indeed fits (0,0).
Which equation can be used to find the number of students needed to make 1,500 in profit ?
Answer:
we can use simple equation
simplify
(−5abc − 6ac + 7cb) − (10abc + 6ac − 8bc)
Answer:
-15abc - 12ac + 15bc
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(-5abc - 6ac + 7cb) - (10abc + 6ac - 8bc)
Step 2: Simplify
[Distributive Property] Distribute negative: -5abc - 6ac + 7cb - 10abc - 6ac + 8bcCombine like terms: -15abc - 12ac + 15bcA square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is constructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2x. Which statement best describes how the surface area of Sydney’s pyramid compares to the surface area of the original pyramid?
Sydney’s pyramid will have the same surface area because the One-half in the expression for the area of the triangular faces will make up for the slant height being doubled.
Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area.
Sydney’s pyramid will have a surface area that is exactly double the original pyramid’s because the slant height is used when finding the area of every lateral face.
Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
1. Consider the pyramid ABCDE in the figure 1 attached:
Each side of the square base equals (units)
Area of 1 lateral side of pyramid ABCDE is
so the total lateral area is (units squared)
and the total surface area is (units squared)
2. Now consider the second figure KLMNP, Sydney's pyramid:
The lateral area is
so the total area of the second pyramid is
So 2 things can be said about the areas:
i) the lateral area of Sydney's pyramid is times larger than the lateral area of the original pyramid.
ii) The total area of Sydney's pyramid is units squared larger than the total area of the original pyramid.
Write the equivalent fraction, the reduced fraction, and the decimal equivalent for 45%. Jenny solved this problem and her work is shown below. What mistake did she make? 45% = StartFraction 45 Over 100 EndFraction = StartFraction 9 Over 20 EndFraction = 4.5
Answer: See explanation
Step-by-step explanation:
The equivalent fraction of 45% is solved as follows:
First, we'll change the percentage to fraction which will be:
45% = 45/100
Then, we'll reduce to lowest term which will be:
45/100 = 9/20
Now, we'll convert the fraction to decimal which will be:
9/20 = 0.45
The mistake that Jenny made was that she divided 90 by 20. This will give 4.5.
Answer: The decimal equivalent is not correct. The decimal point is in the wrong position. The decimal point should be to the left of the 4, so the correct answer is 0.45.y-step explanation:
A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Answer:
120 kg in morning and 240 kg in afternoon
Step-by-step explanation:
x+2x=360 kg
Work:
x + 2x = 360 kg
3x = 360 kg
3x/3 = 360 kg/3
x = 120
2x=2(120 kg) =240 kg
Final Answer:
So, 120 kg in morning and 240 kg in the afternoon.
Hope this helps!
David's goldfish ate 20 grams of food in 4 weeks. At this rate, how long would it take the fish to eat the food
in a 100-gram container?
Please help me solve this!
Please help quickly!
==========================================================
Explanation:
Focus on triangle TUS. The inner angles here are:
T = yU = xS = 180-2xNote how the angle measure for S is the supplement of 2x, which is adjacent to the angle S we have.
Add up those three angles and set the sum equal to 180
T+U+S = 180
y+x+180-2x = 180
y-x = 180-180
y-x = 0
y = x
We'll use this later.
-----------------
The diagram shows that angle VTU = y+y = 2y.
Focus your attention on triangle TUV.
Since TU = UV, this means the base angles T and V (which are opposite the congruent sides) are congruent angles. We found that angle T was 2y earlier. This means angle V is also 2y.
-----------------
Now shift your focus to triangle TSV.
This triangle has the inner angles
S = 2xT = yV = 2yRecall earlier that we found y = x at the conclusion of the first section. Using that and the fact that the angles of triangle TSV add to 180, we get...
T+S+V = 180
2x+y+2y = 180
2x+3y = 180
2x+3x = 180 .... replace y with x, since y = x
5x = 180
x = 180/5
x = 36
This is the value of y as well.
There are nine different marbles in a bag. Supposed you reach in and draw one at a time. And do this three times. How many ways can you draw the three marbles if you do not replace the marble each time
Answer: 504 ways
Step-by-step explanation:
Given
There are nine different marbles in a bag
For the first time, there are 9 possible ways to draw a marble
After removal of first marble, there are 8 possible ways to draw a marble
for the third time, there are 7 possible ways
so, total ways to draw three marble are
[tex]\Rightarrow 9\times 8\times 7=504\ \text{ways}[/tex]
Now that you know the vertex, find the y-values that pair with a few x-values that are less than 2 and a few that are greater than 2.
Plsssss help!!!!!!!
for what is values of x does 4(3x-2) = 12x - 5? select all that apply.
A.12
B.-8
C.3
D.-3
E.none of these
Answer:
‼️A) 12‼️
Step-by-step explanation:
Key skills needed: Interior Angle Measure Theorem, Equation Creation
Step 1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures
The theorem is: S = (n - 2)180S=(n−2)180
S is the sum of all interior angle measures
n is the number of sides of the polygon
Step 2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:
---> S = (7-2)180S=(7−2)180
---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)S=5(180)
---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900S=900
This means that the sum of all interior angles is 900 degrees.
Step 3) Now, we have to find out the sum of all the angles that they gave us so:
---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 90010x+10x+9+133+9x+14+12x−9+10x+5+136=900
The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.
Step 4) We have to combine all like terms on the left side:
---> 10x + 10x + 9x + 12x + 10x = 51x10x+10x+9x+12x+10x=51x
---> 9 + 133 + 14 -9+5+136 = 2889+133+14−9+5+136=288
Step 5) This means that ---> 51x + 288 = 90051x+288=900
Subtract 288 from both sides and get:
---> 51x = 61251x=612 (900-288 = 612)
Then divide by 51 from both sides and get:
---> x = 12x=12 (612 ÷ 51 = 12)
Therefore A) 12 is your answer.
I think it should be none of these.
The term on the left has to be even no matter what value of x and the right has to be odd no matter what value of x. Therefore, there shouldn't be an integer value of x that satisfies the equation, let alone the answer choices A-D.
