Answer:
[tex]-(3x+2)(x+1)[/tex]
Step-by-step explanation:
So we have the polynomial:
[tex]-3x^2-5x-2\\=-(3x^2+5x+2)[/tex]
(I moved the negative to the outside. This is optional, but it makes things cleaner and you will have to do it eventually.)
This is a quadratic. To factor this, we need to find two numbers p and q such that:
[tex]p\cdot q=ac\\p+q=b[/tex]
From there, we can substitute these numbers in for b.
From the quadratic, a=3, b=5, and c=2. We ignore the negative sign.
In other words, ac=6 and b=5.
After guessing and checking, two numbers that work are 3 and 2 since 3(2)=6 ad 3+2=5. We substitute these values in for b. So:
[tex]-(3x^2+5x+2)\\-(3x^2+3x+2x+2)\\=-(3x(x+1)+2(x+1))\\=-(3x+2)(x+1)[/tex]
In △ABC, m∠A=15 °, a=10 , and b=11 . Find c to the nearest tenth.
Answer:
The answer is:
[tex]\bold{c\approx 20.2\ units}[/tex]
Step-by-step explanation:
Given:
In △ABC:
m∠A=15°
a=10 and
b=11
To find:
c = ?
Solution:
We can use cosine rule here to find the value of third side c.
Formula for cosine rule:
[tex]cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}[/tex]
Where
a is the side opposite to [tex]\angle A[/tex]
b is the side opposite to [tex]\angle B[/tex]
c is the side opposite to [tex]\angle C[/tex]
Putting all the values.
[tex]cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units[/tex]
The answer is:
[tex]\bold{c\approx 20.2\ units}[/tex]
Help!! Gotta finish 2 units in 4 days!!
Answer:
[tex]\large \boxed{\sf \ \ g(x)=3|x| \ \ }[/tex]
Step-by-step explanation:
Hello,
Let's follow the instructions !
Step 1
g(x)=k*f(x)=k*|x|
We know that the point (2,6) is on the graph so 6=g(2) meaning:
6=k*|2|=k*2
*** divide by 2 both sides ***
k = 6/2 = 3
Step 2
g(x)=3*|x|
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Help me with these 2 questions please
Answer:
1st one= B 25 cents
2nd one= D 2 miles
Step-by-step explanation:
1.
8x3=24
6/24=25
= 25 cents
2.
1.6 km= 1 mile
so 1/2 of a mile =
0.8 km
1/4 of an hour = 15 minutes
0.8km= 15 minutes
15x3= 45 minutes
0.8km x 3= 2.4km
2.4km = 2 miles
hope it helps hunney xx
A particular zebra is the 10th fastest animal in its herd and also
the 10th slowest animal in its hard. If every zebra in the herd is
of a different speed, then how many zebra are there in the herd?
Answer:
19
Step-by-step explanation:
The zebra is the 10th fastest, so there are 9 zebras that are faster.
It's also the 10th slowest, so there are 9 zebras that are slower.
The total number of zebras is therefore 9 + 1 + 9 = 19.
In 2002, the mean expenditure for auto insurance in a certain state was $806. An insurance salesperson in this state believes that the mean expenditure for auto insurance is less today. She obtains a simple random sample of 32 auto insurance policies and determines the mean expenditure to be $781 with a standard deviation of $39.13. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance?
Answer:
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance
Step-by-step explanation:
Sample Mean = μ1 = $806
Sample Mean = μ2 = $ 781
Standard Deviation= S= σ =39.13
n= 32
Confidence Interval = 95 %
α= 0.05
z∝=± 1.96
We state the null and alternative hypotheses as
H0: μ1 = $806 and Ha: μ1 ≠ $806 two sided tail test
z= μ1 -μ2/σ/√n
z= 806-781/ 39.13/√32
z= 806-781/ 39.13/5.6568
z=806-781/ 6.92
z= 25/6.92
z= 3.613
Z> z∝
3.613 > ± 1.96
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car. Use α = 5% to hand calculate and check your work in SPSS.
Compact Cars Midsize Cars Full-Size Cars
6 4 9
6 4 8
7 5 5
Answer:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Step-by-step explanation:
A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.
In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.
So, a one-way ANOVA would be used.
The hypothesis can be defined as follows:
H₀: There is no difference between the means, i.e. [tex]\mu_{1}=\mu_{2}=\mu_{3}[/tex]
Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.
Use MS-Excel to perform the ANOVA test.
Go to Data – Data Analysis – Anova: Single Factor
Enter the data and enter Alpha as 0.05.
Press OK.
The output is attached below.
The F-test statistic value is, F = 5.143.
The p-value of the test is, p-value = 0.072.
Decision Rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
p-value = 0.072 > α = 0.05
The null hypothesis will not be rejected.
Conclusion:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Please answer it now in two minutes
Answer:
Remember to round!
Explain why a drop in temperature would lead to adding a negative integer.
Step-by-step explanation:
a drop in temperature means the temperature will decrease.
That decrease is represented with a negative integer which should be added to the previous temperature.
You have a frame that holds three pictures. You pulled out your favorite five photos. How many sets of three are there? Make a list of all the possible combinations using the numbers 1 - 5 to represent the photos. (I NEED FULL EXPLAINATION)
Answer:
10
Step-by-step explanation:
nCr = 5!/(3! × (5 - 3)!)
= 10
123/ 124/ 125/ 134/ 135/ 145/ 234/ 235/ 245/ 345
The formula for combinations is generally n! / (r! (n -- r)!), where n is the total number of possibilities to start and r is the number of selections made. In our example, we have 52 cards; therefore, n = 52.
Answer: get 2 more frames
Step-by-step explanation:
Please answer correct answer now fast
Answer:
Approximately 13.9 units.
Step-by-step explanation:
First, note that ΔTVW is a right triangle.
Since we are given that ∠UTV is 112°, this means that ∠WTV is 68° because 180-112 is 68°.
Now that we know ∠WTV is 68°, we can use the basic trigonometric ratios to solve for VW. VW is the side opposite ∠WTV. We also know the hypotenuse. So, we would use sine. Recall that:
[tex]\sin(\theta)=opp/hyp[/tex]
Plug in 68° for theta, VW for the opposite, and 15 for the hypotenuse:
[tex]\sin(68)=VW/15\\VW=15\sin(68)\\VW\approx13.9078\approx13.9[/tex]
The graph of g(x) is a transformation of the graph of f(x)=4x.
42
Step-by-step explan
An infinite geometric series converges if the common ratio is
Answer:
a proper fraction
I need this answered in ONE minute
Place the indicated product in the proper location on the grid. Write your answer in descending powers of x. (x^ 2 + 3x + 1)(x^2 + x + 2)
Answer:
[tex]x^4 + 4x^3 + 6x^2 + 7x + 2[/tex]
Step-by-step explanation:
We are asked to multiply the given polynomials.
[tex](x^ 2 + 3x + 1) \times (x^2 + x + 2)[/tex]
Multiply each term of the first polynomial to each term of the second polynomial.
[tex]x^ 2 \times (x^2 + x + 2) = x^4 + x^3 + 2x^2[/tex]
[tex]3x \times (x^2 + x + 2) = 3x^3 + 3x^2 + 6x[/tex]
[tex]1 \times (x^2 + x + 2) = x^2 + x + 2[/tex]
Add the results
[tex](x^4 + x^3 + 2x^2) + (3x^3 + 3x^2 + 6x) + ( x^2 + x + 2)[/tex]
Combine the like terms
[tex]x^4 + 4x^3 + 6x^2 + 7x + 2[/tex]
The answer is written in descending powers of x.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The range consists of all real numbers where y ≠ 0
Step-by-step explanation:
reciprocal parent function is y = 1/x
If y = 0, then 1 would have to be divided by a number to equal 0. This would require x to equal a number that can divide 1 to equal 0. Because this is not possible, y cannot be 0.
Which of the following best describes the slope of the line below?
Answer:
I think positive
Step-by-step explanation:
Answer:
zero, D
Step-by-step explanation:
a horizontal line (left to right) would be zero
a verticle line (up and down) would be undifined
If a company buys coffee at a price of $5/kg and then sells it their stores for $18/kg, what is the percentage profit compared to the original cost of the coffee?
Answer:
260%
Step-by-step explanation:
For the coffee;
cost price ([tex]C_{P}[/tex]) = $5/kg
selling price ([tex]S_{P}[/tex]) = $18/kg
Percentage profit (%P) = [tex]\frac{S_P - C_P}{C_P} * 100%[/tex] %
Substitute the right values into the above;
%P = [tex]\frac{18 - 5}{5} * 100%[/tex] %
%P = [tex]\frac{13}{5} * 100%[/tex] %
%P = 260%
Therefore, the percentage profit compared to the original cost of the coffee is 260%
please helppppppp !!!
Answer:
64
Step-by-step explanation:
Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.
A square has diagonals of length 10 cm. Find the sides of the square
Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The diagonal divides the square into 2 right triangles.
let s be the side of the square with the diagonal being the hypotenuse.
Applying Pythagoras' identity to one right triangle, gives
s² + s² = 10² , that is
2s² = 100 ( divide both sides by 2 )
s² = 50 ( take the square root of both sides )
s = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex]
The equations 2 x minus y = negative 2, 3 x + 2 y = 5, 4 x minus y = 2, and 22 x + 10 y = 7 are shown on the graph below. Which system of equations has a solution of approximately (–0.3, 1.4)? 2 x minus y = negative 2 and 22 x + 10 y = 7 3 x + 2 y = 5 and 4 x minus y = 2 4 x minus y = 2 and 22 x + 10 y = 7 2 x minus y = negative 2 and 3 x + 2 y = 5
Answer:
The correct option is;
(2·x - y = -2 and 22·x + 10·y = 7)
2 x minus y = negative 2 and 22 x + 10 y = 7
Step-by-step explanation:
2x - y = -2.........(1)
3x + 2y = 5.......(2)
4x - y = 2..........(3)
22x + 10y = 7...(4)
Given that the solution of the system of equation is (-0.3, 1.4), we have;
The system of equations consist of those equations that pass through the point (-0.3, 1.4)
We check as follows;
Equation (1)
2×(-0.3) - 1.4 = -2
Therefore, equation (1) passes through the point (-0.3, 1.4) and is one of the equations
Equation (2)
3×(-0.3) + 2×1.4 = 1.9 ≠ 5
Equation (2) is not part of the system of equations
Equation (3)
4×(-0.3) - 1.4 = -2.6 ≠2
Equation (3) is not part of the system of equations
Equation (4)
22×(-0.3) + 10×1.4 = 7.4 ≈ 7
Therefore, equation (4) approximately passes through the point (-0.3, 1.4) and is one of the equations
The correct option is A. [tex]2x - y = -2\ and 22x + 10y = 7.[/tex]
Given equations,
[tex]2x - y = -2.........(1)[/tex]
[tex]3x + 2y = 5.......(2)[/tex]
[tex]4x - y = 2..........(3)[/tex]
[tex]22x + 10y = 7...(4)[/tex]
Since the solution of the system of equation is [tex](-0.3, 1.4),[/tex] Hence the system of equation satisfy the above point.
Now check all the equations,
Equation (1),
[tex]2\times(-0.3) - 1.4 = -2\\-0.6-1.4=-2\\-2.0=-2[/tex]
Hence, equation (1) passes through the point[tex](-0.3, 1.4)[/tex] and is one of the equations.
Similarly, Equation (2)
[tex]3\times (-0.3) + 2\times1.4 = 5\\-0.9+2.8=5\\1.9=5\\[/tex]
Hence the above equation does not satisfy the solution, so it is not the other system of equation.
Now, Equation (3)
[tex]4\times(-0.3) - 1.4 = -2.6 \neq 2[/tex]
Hence Equation (3) is not part of the system of equations.
Now, Equation (4)
[tex]22\times (-0.3) + 10\times1.4 = 7.4[/tex]
Hence the above equation approximately passes through the solution[tex].(-0.3, 1.4)[/tex] and is one of the equations.
Hence the required system of equation is [tex]2x - y = -2[/tex] and [tex]22x + 10y = 7[/tex].
Therefore the correct option is A.
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WILL GIVE BRAINLEST ANSWER IF ANSWERED IN 24 HOURS Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 132 c = 330
i cant see the answers does anyone else have this problem
Answer:
yeah....same!
Step-by-step explanation:
I'm having the same problem I thought it was just me
Find the missing side. Round your answer to the nearest tenth.
Answer:
76.9
Step-by-step explanation:
tan(α) = opposite leg/adjacent leg
tan(70°) = x/28
x = 28* tan(70°) = 76.9
Answer:
76.9 or 77
Step-by-step explanation:
tan(α) = opposite leg/adjacent leg
tan(70°) = x/28
x = 28* tan(70°) = 76.9
Janine wants to build a model using 1/2-inch cubes. How many 1/2-inch cubes would she use to build a solid, cube-shaped model with side lengths of 4 inches? Show your work.
(x+1)(x-2)=0
Solve the quadratic equation using factoring
Answer:
x= -1 or x= 2
Step-by-step explanation:
(x+1)(x-2) = 0x+1 = 0 or x-2=0 x = -1 or x = 2Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer. Sample Adventure Beach Cruise Ski A 6 5 70 19 B 1 6 72 21 Which of the following inferences can be made based on the data? -Most members per for a beach vacation -most members prefer an adventure vacation -more members prefer an adventure vacation and a ski vacation than a cruise vacation -more people prefer a beach vacation and a ski vacation then an adventure vacation
Answer:
The correct option is;
More people prefer a beach vacation and a ski vacation than an adventure vacation
Step-by-step explanation:
From the data in the sample;
Table of values, Sample
Vacation, A B
Adventure, 6 1
Beach, 5 6
Cruise, 70 72
Ski, 19 21
Total, 100 100
Therefore, we have that each member made or selected only on vaction option which gives;
The number of members that prefer a beach vacation and a ski vacation are;
Sample A = 5 + 19 = 24 members
Sample B = 6 + 21 = 27 members
The number of members that prefer an adventure vacation are;
Sample A = 6 members
Sample B = 1 members
Which shows that more people prefer a beach vacation and a ski vacation than an adventure vacation.
Answer:
The correct option is;
More people prefer a beach vacation and a ski vacation than an adventure vacation
Step-by-step explanation:
I just did the quiz .
Any help with this please???? Running out of time!
Answer:
Sin A = 21/29Step-by-step explanation:
[tex]Using\: A \: as\: a\: refernce\: angle ;\\Hypotenuse = 29\\Opposite =21\\Adjacent = 20\\\\Using \: SOHCAHTOA\\Sin A = \frac{Opposite}{Hypotenuse} \\\\Sin A = \frac{21}{29}[/tex]
An arithmetic sequence grows
A. at a constant percentage rate
B. linearly
C. quadratically
D. exponentially
Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).
Answer:
Step-by-step explanation:
You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation
[tex]y=a(x-h)^2+k[/tex] and solve for a. Filling in:
[tex]-11=a(4-2)^2-3[/tex] which simplifies a bit to
[tex]-11=a(2)^2-3[/tex] and a bit more to
[tex]-11=4a-3[/tex]. Add 3 to both sides to get
-8 = 4a so
a = -2
The equation, then, is
[tex]y=-2(x-2)^2-3[/tex]
Choose the best estimate for the multiplication problem below.
82.17
7.32
X
A. 560
B. 860
C. 420
Hey there!
We see that the first factor is 82.17, which is about 80. Then, we have 7.32, which is about 7.
80 times 7 is just doing 8 times 7 but putting a zero on the end!
So, 80 times 7 is 560, so our best estimate is A.560
Have a wonderful day!
WILL GIVE BRIANLIEST Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees. In the diagram of circle O, what is the measure of ? 34° 45° 68° 73°
Answer: 34°
Step-by-step explanation:
The Arc formed by segment AC:
Total measure of an arc = 360°
Measure of Major arc AC = (360° - measure of minor arc)
Minor arc = 146°
THEREFORE,
Major arc AC = (360° - 146°) = 214°
A° = B° = (214° - 146°) / 2 ( tangent - tangent theorem)
Angle formed by tangent AB and BC = difference between major and minor arcs divided by 2 : (Major arc - minor arc) / 2
(214 - 146)° / 2 = 68° / 2 = 34°
The measure of ∠ABC as shown in the circle is 34°.
CircleA circle is the locus of a point such that all the points are equidistant from a fixed point known as the center.
∠OCB and ∠OAB = 90° (angle between a tangent and radius)
∠OCB + ∠OAB + ∠COA + ∠CBA = 360° (angles in a quadrilateral)
90 + 90 + 146 + ∠CBA = 360
∠CBA = 34°
The measure of ∠ABC as shown in the circle is 34°.
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