Identify the values of a, b, and c in the following quadratic equation 2x^2-3x+5

a=
b=
c=

Answer:

g=7

Step-by-step explanation:

To solve this equation, we need to isolate the variable g on one side of the equation. We can do this by first dividing both sides of the equation by 2. This gives us:

g - 4 = 3

Next, we can add 4 to both sides of the equation to isolate the variable g on the left side of the equation. This gives us:

g = 7

Therefore, the value of g that satisfies the equation is 7.

You will pay a price of $72.31 if you wait to purchase tickets at the door

Discount is defined as a deduction from the usual cost of something. You will save 22% off the door price by prepay $56.40 per ticket now.

Let P represent the original price. We can write that:

P - 22% of P = $56.40. It should be noted that this can be rewritten as:

P - (22% × P) = 56.40

P - 0.22P = 56.40

Subtract

0.78P = 56.40

Divide through by 0.78

P = 56.40/0.78

P = $72.31

Therefore the price is $72.31.

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Step-by-step explanation:

this is a structure of medians in the main triangle.

the center point X divides each median into parts in the ratio 2:1, with X being twice as far from the originating vertex than from the midpoint of the connected side.

so, RX is twice as long as XV.

RV = 54.

RX : XV = 2:1

that means RV consists of 2+1 = 3 equal parts. 2 of these parts are RX, and one part is XV.

how long is one part ?

54/3 = 18.

RX = 2×18, and XV = 1×18

XV = 18

The required measure of the XV in the triangle is 18.

The Median is defined as the line joining the vertex of a triangle to the midpoint of the facing side of the triangle.

Triangle RST is given, which consists of median RV, TU, and SW. All the median of the triangle intersects at X.

Now, the property triangle states that the point of intersection of the median(i.e centroid) X divides the median in the ratio of 2:1,

So,XV = 1 / 3 of RV and RX = 2/3 of RV,

Now,

XV = RV/3
XV = 54 / 3
XV = 18

Thus, XV = 18.

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The sum of the two polynomials 4x³+2x²-4x+3 and 7x³-4x² +7x+8 is 11x³-2x²+3x+11.

Algebraic expressions called polynomials include coefficients and variables. For polynomial expressions, we can perform mathematical operations like addition, subtraction, multiplication, and positive integer exponents. Polynomial addition is the process of adding like terms from two or more algebraic equations while maintaining the sign of each term.

Here, given two polynomials 4x³+2x²-4x+3 and 7x³-4x² +7x+8.

First, arrange the given polynomials. The polynomials were already arranged from the increasing to decreasing order of degree. Then,

(4x³+2x²-4x+3)+ (7x³-4x² +7x+8)

Second, group the like terms from both polynomials.

(4x³+7x³)+(2x²-4x²)+(-4x+7x)+(3+8)

Now, simplifying the combining terms, we get,

11x³-2x²+3x+11

The answer is 11x³-2x²+3x+11.

The complete question is -

Add the following polynomials, then place the answer in the proper location on the grid. write the answer in descending powers of x. Find the sum of 4x³+2x²-4x+3 and 7x³-4x² +7x+8.

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3/11 is the probability of choosing an L or an S

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

The given word is SQUIRRELLED.

We need to choose single letter from the word.

We have to find the probability of choosing an L or an S

If we were to select a letter that was either an L or S from eleven letters. 1 of them being an S and 2 of them being an L.

We simply add:1+2/11

Three divided by eleven

3/11

Hence, 3/11 is the probability of choosing an L or an S

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Answer:

Step-by-step explanation:

When sides 'z' and 'y' and included angle X is known, the area of the triangle is:

Area (∆XYZ) = 1/2 × yz × sin(X)

1/2 x 7.9 x 6.1 x Sin(62) = 21.27

The sample type is option (D) Systematic random sample

Here they randomly select one of the first 25 users each day and show them a message asking for a donation

They also show the message to every 25th user from that point on

The random sample is the selecting one from a large population

The systematic random sample is defined as the probability sampling method from a large population, the random samples are selected periodically. The periodical selection of random variable means the random variables are selected in regular interval.

Here the random samples are selected as one of the first 25 users each day

Therefore, the random sample is systematic random sample

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The terminal point is 0.36 radii to the right of the circle's center.

The terminal point is 0.93 radii above the circle's center.

Here, the 3 O'clock line is OA and the terminal point is on the line OP.

The angle θ = 1.2 radians

Let the radius = r

The distance of the terminal point to the right of the center = OQ

= r × cos θ

= r × cos 1.2  

= r × 0.36

So, it is equal to 0.36 radii

The distance of the terminal point above the center = PQ

= r × sin θ

= r × sin 1.2

= r × 0.93

So, it is equal to 0.93 radii.

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If the supplied functions are f(x) = - 3x 2 + x - 9 and g(x) = x 3 + 6x and the value of x is -4, the value of (f + g)(- 4) is -137.

A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable). Functions are typically categorized into four categories. Depending on the Element: One function to one function, many functions to one function, onto function, one function to one and onto function, into function A "vertical line test" can be used to identify whether a relation is a function when looking at a graph. If a vertical line can be drawn anywhere on the graph and cross the relation twice, the relationship is not a function.

Here,

(f+g)(x)=f(x)+g(x)

f(-4)=-3*(-4)²-4-9

f(-4)=-61

g(-4)=(-4)³-3*4

g(-4)=-76

(f+g)(-4)=f(-4)+g(-4)

=-61-76

(f+g)(-4)=-137

If the supplied functions are f(x) = - 3x 2 + x - 9 and g(x) = x 3 + 6x and x is -4, the value of (f + g)(- 4) is -137.

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a) Amy's monthly budget for Rent based on the total budget for housing and food is $853.

b) Amy's monthly budget for Utilities based on the total budget for housing and food is $142.

c) Amy's monthly budget for Food based on the total budget for housing and food is $427.

The total budget for Housing, Utilities, and Food for nine months = $12,798

Rent = 60%

Utilities = 10%

Food = 30%

Budget period = 9 months

Budget for rent = $7,679 ($12,798 x 60%)

Monthly budget for Rent = $853 ($7,679/9)

Budget for utilities = $1,280 ($12,798 x 10%)

Monthly budget for Utilities =  $142 ($1,280/9)

Budget for food = $3,839 ($12,798 x 30%)

Monthly budget for Food =  $427 ($3,839/9)

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[tex]Answer:\ cos(\theta_1)=\boxed{-\frac{40}{41} }[/tex]

Step-by-step explanation:

[tex]\displaystyle\\sin(\theta_1)=\frac{9}{41}\ \ \ \ \ \ 90^0 < \theta_1 < 180^0\ \ \ \ \ \ \ cos(\theta_1)=?\\\\sin^2(\theta_1)+cos^2(\theta_1)=1\\\\cos^2(\theta_1)=1-sin^2(\theta_1)\\\\cos^2(\theta_1)=1-(\frac{9}{41})^2\\\\cos^2(\theta_1)=1-\frac{81}{1681} \\\\cos^2(\theta_1)=\frac{1(1681)-81}{1681} \\\\cos^2(\theta_1)=\frac{1600}{1681} \\\\[/tex]

Extract the square root of both parts of the equation:

[tex]\displaystyle\\\cos(\theta_1)=б\sqrt{\frac{1600}{1681} } \\\\\cos(\theta_1)=б\sqrt{\frac{40^2}{41^2} } \\\\\cos(\theta_1)=б\sqrt{(\frac{40}{41})^2 } \\\\\cos(\theta_1)=б\frac{40}{41}[/tex]

[tex]\displaystyle\\Since\ 90^0 < \theta_1 < 180^0, \\\\ therefore\ cos(\theta_1)=-\frac{40}{41}[/tex]

Answer:

Step-by-step explanation:

dudjdjd

Answer:

C. 20

Step-by-step explanation:

60 = 2x + 20  ==> solve for x

60 - 20 = 2x + 20 - 20  ==> subtract 20 on both sides to isolate x

40 = 2x  ==> simplify

x = 40/2  ==> divide both sides by 2 to isolate x

x = 20 degrees

Answer: C. 20

The probability that the next chew would be a lime chew is 5%.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next chew would be a lime chew = number of lime chews / total number of chews

Total number of chews = 34 + 5 + 2 = 41

The probability that the next chew would be a lime chew = (2 / 41) x 100 = 5%

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Answer:

1) 60

2)  15

3) 45

4) 105

5) 75

Step-by-step explanation:

7y + 5y = 180  A straight angle is 180  Combine like terms

12y = 180  Divide both sides by 12

y = 15

The sum of the interior angles is 180

y = 15

180 - (5y + 3y) = x

180 -(5(15) + 3(15)) = x

180 - (75 + 45) = x

180 - 120 = x

60 = x

Angle c

3y

3(15)

45

Angle DBC

7y

7(15)

105

Angle CBA

5y

5(15)

75

a) The wording for the random variable is given as follows:

n X = the number of 337 randomly selected people who get the vaccine and do not get the flu;

b) The symbol is: n = 337.

c) The symbol is: p = 0.8.

d) P(X = 265) = 0.0426.

e) P(X < 265) = 0.2451.

f) P(X > 265) = 0.7123.

g) P(X = 268) = 0.0545.

h) P(X < 268) = 0.3859.

i) P(X > 268) = 0.5596.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for the binomial distribution in this problem are given as follows:

n = 337, p = 0.8.

Hence the mean and the standard deviation for the approximation are given as follows:

Using continuity correction, the probability that exactly 265 people do not get the flu is the p-value of Z when X = 265.5 subtracted by the p-value of Z when X = 264.5.

X = 265.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (265.5 - 269.6)/7.34

Z = -0.56

Z = -0.56 has a p-value of 0.2877.

X = 264.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (264.5 - 269.6)/7.34

Z = -0.69

Z = -0.69 has a p-value of 0.2451.

Hence:

0.2877 - 0.2451 = 0.0426.

Then:

e) P(X < 265) = 0.2451 -> p-value of Z when X = 264.5.

f) P(X > 265) = 1 - 0.2877 = 0.7123 -> one subtracted by the p-value of Z when X = 265.5.

For exactly 268, we have the same logic as follows:

X = 265.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (268.5 - 269.6)/7.34

Z = -0.15

Z = -0.15 has a p-value of 0.4404.

X = 267.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (267.5 - 269.6)/7.34

Z = -0.29

Z = -0.29 has a p-value of 0.3859.

Hence:

0.4404 - 0.3859 = 0.0545.

Then:

h) P(X < 268) = 0.3859 -> p-value of Z when X = 267.5.

i) P(X > 268) = 1 - 0.4404 = 0.5596.

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Answer: [tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

[tex]3x+6y=-18[/tex]

[tex]-3x[/tex]             [tex]-3x[/tex]

[tex]6y=-3x-18[/tex]

[tex]\frac{6y}{6} =\frac{-3x}{6} -\frac{18}{6}[/tex]

[tex]y=-\frac{1}{2 } x-3[/tex]

Answer:

3

Step-by-step explanation:

Figure A is a dilation of Figure B by a factor of 3

That means that Figure A is 3 times larger than Figure B.

From Figure B to Figure A, the scale factor is 3.

Answer:

I'm sure its x>10

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+7>27

Subtract 7 from both sides

2x+7−7 27−7

2x>20

Divide both sides by 2

2x/2 > 20/2

= x>10

Answer:

The answer is 13.2

Step-by-step explanation:

d = 10

e = 3.2

d + e = 10 + 3.2 = 13.2

Thus, The answer is 13.2

Therefore solution to this problem is  the  function is odd if  f(-x) = -f (x).

In mathematics, a function from a set X to a set Y assigns each element of X precisely one element of Y. The domain and codomain of the function, respectively, are the sets X and Y.

Here,

We can know the function is even or odd by substituting the values in the function f(x) as f(-x)

Thus

If f(-x) = f, then f(x) is an even function (x). If the function is odd, then f(-x) = -f (x). Reflection symmetry around the y-axis exists for an even function. The rotational symmetry of an odd function is at the origin.

Therefore the  function is odd if  f(-x) = -f (x).

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Answer:

4x+y=-2

Step-by-step explanation:

y=-4x-2

Write this in standard form:

Ax+By=C  ==> C is a constant

First, put x and y on one side of the equation:

y+4x=-4x+4x-2 ==> isolate -2 by adding 4x on both sides

y+4x=-2

4x+y=-2  ==> switch x and y to make the equation in standard form

(a) The expected value is 48 and the standard deviation is 5.366  .

(b) The probability that this year's class will beat the record is 0.0250  .

In the question ,

it is given that ,

the number of students is (n) = 120

40% of graduates will go on to college , that means (p) = 0.4

Part(a)

the expected value is E(x) is

E(x) = n*p = 120*0.4 = 48 .

the standard deviation is √np(1-q) = √120*0.4*0.6 = √28.8 ≈ 5.366

Part(b)

Using normal distribution for approximation ,

μ = 48 , σ = √28.8 and z = (x - 48)/√28.8   .

P(class will beat the record) = P(x>58)

= P(x>58.5)    continuity correlation

= P(Z > (58.5 - 48)/√28.8) = P(Z > 1.96) that is

= 0.0250 .

Therefore , (a) expected value = 48 , standard deviation = 5.366

(b) the required probability is 0.0250  .

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The correct answer is  People in Canada who are happier are less likely to suffer cardiac problems.

We have been given four options from which we have to select the correct one.

a. Happiness causes better heart health for all people.

b. Happiness causes better heart health for Canadians.

c. Happiness causes better heart health for the people in the study.

d. Happier people in Canada are less likely to have heart problems.

e. Happier people in the study were less likely to have heart problems.

The researchers followed up with each person 10 times later and discovered that those who had been deemed pleased at the start were no longer so. People in Canada who are happier are less likely to suffer cardiac problems.

Therefore, the conclusion is people in Canada who are happier are less likely to suffer cardiac problems.

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The value of the annuity due is $39,744.59.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = [tex]P\frac{(1 + r)^n -1(1+ r)}{r}[/tex].

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, r = 10% semiannually so it is (10/2) = 5% or 0.05 and n = 8×2 = 16.

∴ A = [tex]1600\frac{(1 + 0.05)^{16} -1(1+ 0.05)}{0.05}[/tex].

A = [tex]1600\frac{(1.05)^{16} -1(1.05)}{0.05}[/tex]

A = [tex]\frac{1600(2.18 -1.05)}{0.05}[/tex].

A = (1600×1.13)/0.05.

A = $39,744.59

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Answer:

$1.25

Step-by-step explanation:

150 / 120

Answer:

$1.25

Step-by-step explanation:

You can find the average cost per coconut by dividing the total price by the number of coconuts. 150 divided by 120 is $1.25. Therefore, each coconut costs $1.25.

A coin rolls a distance of 33 cm in 5 rotations is nickel coin.

A straight line that runs through the middle of a body or figure from the sideways particularly a circle or sphere is called as a diameter of a circle or sphere.

Given that a coin rolls a distance of 33 cm in 5 rotations.

So that the circumference of the coin is,

33/5 = 6.6 inch.

And the formula for circumference is π 2r, where 2r is the diameter of coin.

Now we will check the diameter of given coins and match with the required coins.

Given coins penny, nickel, dime and quarter have the diameter 1.9 cm, 2.1 cm, 1.8cm and 2.4 cm respectively.

For the coin nickel,

π (2.1) = 6.6

And every coin have different diameter.

Therefore, a coin rolls a distance of 33 cm in 5 rotations is nickel coin.

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(Option D. Incentre) The incentre of a triangle is the point equidistant from all three of the triangle's vertices. This means that its distance from each vertex is the same.

The incentre of a triangle is an important point of reference for geometry. It is located at the center of the triangle's inscribed circle, which is the circle that touches each of the triangle's three vertices. This is why the incentre is also known as the triangle's inner center or center of the triangle's inscribed circle. As it is equidistant from all three of the triangle's vertices, the incentre is useful for finding the angles of the triangle and for finding the lengths of the triangle's sides. It can also be used to calculate the area of the triangle.

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Answer:

The correct answer is D: 40%.

Step-by-step explanation:

To find the percentage of the pieces of fruit in the bowl that are apples, you need to divide the number of apples by the total number of pieces of fruit and then multiply the result by 100%.

So, you would do the following calculation: (6 apples / 15 pieces of fruit) * 100% = 40%.

The line that would appear parallel to HG and would go through point D, is DC.

When describing parallel lines, we describe two lines in the same plane that are equally spaced apart and never cross each other. Both horizontal and vertical shapes are possible.

The only line that would go through point D and would be parallel to line HG, would therefore be Line DC. This is because this line is equally spaced from line HG and would never cross it.

In conclusion, line DC would be parallel to line HG.

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