how many lines can go through two points

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Answer:

31a.  2 real roots

31b   2 complex roots

Discussion:

31a.

2x^2 + 3x - 6 = 0

Using standard quadratic notation, the above equation has a  = 2, b = 3 and c = -6. The discriminant is given by b^2 - 4ac, which is

3^2 - 4*2*(-6) = 9 + 48 = 57 > 0, so the quadratic has 2 real roots

31b.

The equation is equivalent to  16x^2 + 10x  +3 = 0. Its discriminant is

10^2 - 4 * (16) * (3) = 100 - 192 = -92 so this equation has two complex roots

Regards,  

MrB

Answer:

The answer is $16.45

Step-by-step explanation:First, you have to multiply $0.95 x 9 = $8.55

Then, you have to subtract $25.00-$8.55 = $16.45

Please mark this brainliest and I will be glad to help anytime

Final answer:

The question appears to be related to a simple subtraction of financial figures, specifically finding the difference between $49 and $149, which is $100. Without further context, it's unclear what specific mathematical operation or application is being asked for.

Explanation:

The question $49 to $149 does not provide enough context to determine a precise methodology or principle to apply. Looking at the provided references, these figures appear to represent various financial ranges which might be associated with tax brackets, salary bands, or other financial calculations. However, without additional context, it is impossible to provide a step-by-step explanation or to perform a specific calculation.

If the intent is to calculate the difference between $49 and $149, the work is simply:

This yields the difference between the two amounts.

Answer:

x² - 8x + 65 = 0

x² - 8x + 16 = -49

(x - 4)² = -49

x - 4 = ±7i

x = 4 ± 7i

Answer:

7.8%

Step-by-step explanation:

can I get Brainliest???

The percentage of the number of milligrams and Carrie’s body anytime after they both have taken the medication is less than 100%.

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

We are given that;

Carrie is prescribed 600 mg of a medication.

The medication decays at a rate of 40% per day.

Now,

Let's first find the amount of medication remaining in Carrie's body after taking the medication for 5 days:

m = 600(0.6)^5

m ≈ 86.18 mg

To find the percentage of the amount of medication in Carrie's body after 5 days compared to anytime after they both have taken the medication, we need to find the amount of medication in Carrie's body at any given time, t. We can use the same formula and substitute t for d:

m = 600(0.6)^t

Now, we can calculate the percentage of the amount of medication in Carrie's body after 5 days compared to any time after they both have taken the medication:

(m after 5 days / m at any time) x 100%

= (86.18 / 600(0.6)^t) x 100%

= (0.1436 / 0.6^t) x 100%

Since we don't know the exact value of t, we can't simplify this expression any further. However, we can make some observations:

As t increases, the denominator (0.6^t) gets smaller, so the fraction as a whole gets larger.

When t is very large, the fraction approaches 0, which means that the amount of medication in Carrie's body approaches 0, or she has eliminated all the medication from her body.

Therefore, we can conclude that the percentage of the amount of medication in Carrie's body after 5 days compared to any time after they both have taken the medication will be less than 100%,

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Answer:

8

Step-by-step explanation:

A coefficient is the number a variable is multiplied by, so we can see that 8 is being multiplied by y. The answer is 8.

Hope this helps!

Answer

I am Maddie,

Step-by-step explanation:

I had this question on my CLASS and it was correct, I apologize if I got you wrong.

The correct answer is C

For each bolt used, the number of cracks decreased by an average of [tex]\frac{1}{2}[/tex].

Scatterplot:

'A scatter plot is a type of plot or mathematical diagram that uses Cartesian coordinates to display values for typically two variables for a set of data.'

According to the given problem,

The line in the scatterplot has two points, (2,8) , (8,5)

Let (2,8) be ([tex]x_{1},y_{1}[/tex]) and (8,5) be ([tex]x_{2},y_{2}[/tex])

Finding slope:

[tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex] = [tex]\frac{5 - 8}{8-2}[/tex] = [tex]\frac{-1}{2}[/tex]

Hence, we can conclude that the number of cracks decreases by an average of half. We can conclude that its decreasing because of the negative slope.

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Answer: A. 7.84

Step-by-step explanation:

1. According to the problem given in the image attached, the total energy used was 98 quadrillion Btu.

2. Therefore, if you want to know how many quadrillion Btu of energy were consumed in 2010 from renewable energy sources, you must multiply the percentage given in the circle graph, as following:

[tex]8[/tex]%[tex]=0.08[/tex]

Then:

[tex]98*0.08=7.84[/tex]

3. Therefore, the answer is the option A.

Answer:

2? i've never learned this but i just tried to teach myself lol sorry if its wrong i tried

Step-by-step explanation:

The given polynomial has 4 roots.

( may not be all distinct)

Fundamental Theorem of Algebra --

It states that every non-constant polynomial of degree n has exactly n roots counting  multiplicity.

i.e. the roots may repeat.

i.e. the  number of roots of a non-constant polynomial of degree n has atmost n distinct roots.

We are given a polynomial as:

[tex]f(x)=x^4+5x^3+10x^2+20x+24[/tex]

Clearly the polynomial is of degree 4.

This means that the roots of this polynomial will be: 4

( not all  roots may be distinct)

Answer:

2,000 problems

Step-by-step explanation:

We know the students solved the following amount of problems:

Week 1 - 25% of the month

Week 2 - 110% of the first week--> this means 25(1.10)=27.5%

Week 3 - 60% of the first two week--> this means 0.6(25+26.5)=31.5%

Week 4 - 320 problems --> this is 16% of the quota since 100-25-27.5-31.5=16%

So we know that 320 is 16%. We can set up a proportion to find the total amount.

[tex]\frac{16}{100} =\frac{320}{y}[/tex]

We solve by cross multiplying by multiplying numerator and denominator on opposite fractions.

[tex]16(y)=100(320)\\16y=32000\\\frac{16y}{16}=\frac{32000}{16}\\  y=2,000[/tex]

The quota for the month is 2,000 problems.

Answer:

Your answer is B 2/5

Step-by-step explanation:

y2-y1/x2-x1

[tex]\frac{-5--3}{-7--2} = \frac{-2}{-5}\\[/tex]

If someone deposits Rs 40000 in a bank at the rate of 5% p.a. after paying 5% tax, the amount he will get after 4 years is Rs 47600.

How the amount is determined:

Principal amount (P) = Rs. 40000

Rate of interest (R) = 5% per annum

Time period (T) = 4 years

We can calculate the simple interest using the formula:

[tex]\text{Simple Interest} = \frac{{P \cdot R \cdot T}}{{100}}[/tex]

Plugging in the values:

[tex]\text{SI} = \frac{{40000 \times 5 \times 4}}{{100}}[/tex]

= Rs 8000

Total Income after 4 years = Principal + Interest

Total Income = 40000 + 8000 = Rs 48000

Income Tax on Interest: The income earner needs to pay 5% income tax on the interest earned

Tax to Pay = 5% of Rs 8000 = Rs 400

Final Amount Received after Tax = Total Income - Tax to Pay

= 48000 - 400

= Rs 47600

Complete Question:

If someone deposits Rs 40000 in a bank at the rate of 5% p.a.  If he has to pay 5% of interest as income tax, how much will he get after 4 years?

Answer:

KJ = 6 , LW = 3 , KJ = 6

Step-by-step explanation:

Let LW be x then KJ be x + 3

In ΔKHJ and ΔLGW,

∠K = ∠L and ∠H = ∠G , So, by AA Similarity, [tex]\Delta KHJ \sim\Delta LGW[/tex]

Therefore,

[tex]\frac{8}{4}=\frac{x+3}{x} =\frac{HJ}{2.5}[/tex]

First taking,

[tex]\frac{8}{4}=\frac{x+3}{x}\\8\cdot x = 4\cdot x + 12\\4\cdot x=12\\x=3[/tex]

∴LW = 3 , KJ = 6

Now,

[tex]\frac{8}{4}=\frac{HJ}{2.5}[/tex]

⇒ HJ = 5

The unknown sides of the triangle KHJ and triangle LGW are HJ = 5, LW = 3, and KJ = 6 and this can be determined by using the given data.

Given :

Given that m∠K = m∠L, m∠H = m∠G, therefore, triangle △KHJ and △LGW are congruent to each other by AA similarity postulate.

To determine the unknown sides of the given triangles, first, let the unknown side LW be 'a' and the side KJ be 'a + 3'.

[tex]\rm \dfrac{8}{4}=\dfrac{a+3}{a}=\dfrac{HJ}{2.5}[/tex]  -----  (1)

[tex]2\times a = (a+3)\times 1[/tex]

2a = a + 3

a = 3

Put the value of 'a' in equation (1).

[tex]\rm \dfrac{3+3}{3}=\dfrac{HJ}{2.5}[/tex]

[tex]\rm 2\times 2.5 = HJ[/tex]

HJ = 5

LW = 3

KJ = 3 + 3 = 6

The unknown sides of the triangle KHJ and triangle LGW are HJ = 5, LW = 3, and KJ = 6 and this can be determined by using the given data.

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Answer:

50 lbs

Step-by-step explanation:

Jack picked 100 lbs of cranberries. If fresh cranberries have 99% of water, then in 100 lbs of cranberries there are 99 lbs of water and 1 lb of "cranberries".

After being dried this 1 lb of "cranberries" form 2% and the rest 98% is the water. Let the weight of the dried cranberries be x lbs, then

x lbs - 100 %,

1 lb - 2 %.

Therefore,

[tex]\dfrac{x}{1}=\dfrac{100}{2},\\ \\x=\dfrac{1\cdot 100}{2}=50\ lbs.[/tex]

The cranberries, starting at 100 lbs with 99% water content, will reduce to 50 lbs after drying, at which point they have 98% water content. The substance weight shouldn't change being 1 lb as only the water content has changed.

The subject of your question falls under the category of Mathematics, specifically in Percentage and Weight Change. Given that fresh cranberries have 99% water and you started with 100 lbs, then only 1% of this weight, or 1 lb, is non-water content. This is the weight of cranberries' substance that doesn't change during drying.

The partially dried cranberries are 98% water. So the question is 'What weight would give us 1 lb as 2% (100%-98%=2%) of this weight?' The answer is 1 lb divided by 2% (or 1lb/0.02) which gives us 50 lbs. So, the cranberries will weigh 50 lbs after drying.

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Answer:

∠2 = 115.5°

Step-by-step explanation:

128.5° is an exterior angle of the triangle

The exterior angle equals the sum of the 2 opposite interior angles, hence

∠2 + 13 = 128.5 ( subtract 13 from both sides )

∠2 = 115.5°

Answer:

21%

Step-by-step explanation:

[tex]\frac{100}{y}x=\frac{2570}{535}[/tex]

Solving for x

x=535*100/2570              

x≈21%

The students at East Central High School have reached approximately 20.82% of their goal of earning $2570 by selling candles. This is calculated by dividing what they've earned by their goal and then converting the result to a percentage.

The subject of this question involves understanding how to calculate percentages, particularly when dealing with financial goals. To calculate the percentage of their goal the students at East Central High School have reached, we would divide the amount they have earned by the total goal amount and then multiply by 100:

So, the students have reached approximately 20.82% of their goal.

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[tex]z_0=3-2i\\\\z_{n+1}=2z_n+i\\\\z_1=z_{0+1}=2z_0+i\to z_1=2(3-2i)+i=6-4i+i=6-3i\\\\z_2=z_{1+1}=2z_1+i\to z_2=2(6-3i)+i=12-6i+i=12-5i\\\\z_3=z_2+1}=2z_2+i\to z_3=2(12-5i)+i=24-10i+i=24-9i\\\\Answer:\ \boxed{6-3i;\ 12-5i;\ 24-9i}[/tex]

The next number in the sequence 16, 4, 20, 24, 44 is 68 and in the sequence 6, 5, 15, 10, 70 is 61.

A sequence's series is the total number of terms in the sequence.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

Now the given series are,

16, 4, 20, 24, 44

and 6, 5, 15, 10, 70

Now the difference between the two terms of the series 16, 4, 20, 24, 44

4 - 16 = 12 = 4*3

20 - 4 = 16 = 4*4

24- 20 = 4 = 4*1

44 - 24 = 20 = 4*5

So let x be the next term; hence it can be written as

x - 44 = 4*6

x = 24 + 44

x = 68

Now for the series 6, 5, 15, 10, 70, it is an alternative series,

6 - 1 = 5

5 x 3 = 15

15 - 5 = 10

10 x 7 = 70

So the next term is given as,

70 - 9 = 61

Hence, The next number in the sequence 16, 4, 20, 24, 44 is 68 and in the sequence 6, 5, 15, 10, 70 is 61.

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Answer:

the answer is 77a8b7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I took the test

Answer:

The jar of chermical contains 66g of Zinc.

Step-by-step explanation:

The ratio of Zinc to Copper is 3 : 13

A jar of the chemical contains 286g of copper.

Let the mass of the Zinc be xg.

[tex]\frac{13}{3}[/tex] = [tex]\frac{286}{x}[/tex]

x = [tex]\frac{3 × 286}{13}[/tex] = 66g

So the jar of chemical contains 66g of Zinc.

To determine the grams of zinc in a jar of a chemical with a zinc to copper ratio of 3 to 13 and 286 grams of copper present, calculate the value of one part in the ratio (286 grams / 13) and multiply by the number of parts of zinc (3), resulting in 66 grams of zinc.

The student wants to find out how many grams of zinc are in a jar of chemical, given that the ratio of zinc to copper is 3 to 13 and there are 286 grams of copper. To solve this, we can use the concept of ratios. The ratio of zinc to copper is 3:13, which means for every 3 parts of zinc, there are 13 parts of copper.

First, let's find the value of one 'part' in the ratio by dividing the total amount of copper (286 grams) by 13 parts:

1 part = 286 grams / 13 = 22 grams

Now, to find the amount of zinc, we multiple the number of zinc parts (3) by the weight of one part (22 grams):

Amount of zinc = 3 parts / 22 grams per part = 66 grams

So, the jar contains 66 grams of zinc.

Answer:

x < the quantity negative 3 times b plus 5 all over negative 2

Step-by-step explanation:

−2x + 3b > 5

Subtract 3b from both side.

-2x +3b -3b > 5-3b

-2x > 5-3b

Divide by -2 on both sides, remember to flip the inequality since we are dividing by a negative

-2x/-2 < 5/-2 - 3b/-2

x < (5-3b)/-2

x< (-3b+5)/-2

Re write in words.

x is less than the quantity  negative 3 times b plus 5  all over  negative 2

Answer: The three sides are 14, 14, 20

===================================

x = length of the two equal sides

x+6 = length of the third longer side

add up the three lengths x, x, x+6. Set it equal to the perimeter 48. Solve for x

x+x+x+6 = 48

3x+6 = 48

3x+6-6 = 48-6 ... subtract 6 from both sides

3x = 42

3x/3 = 42/3 ... divide both sides by 3

x = 14

If x = 14, then x+6 = 14+6 = 20

The three sides are 14, 14, 20

We can check this by adding up the three sides 14+14+20 = 28+20 = 48 and we get the right perimeter.

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

--------------------------------------------------------------------------------

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

--------------------------------------------------------------------------------

[tex]h(x)=\dfrac{1}{3}|x-6|+4[/tex]

Put the values of x to the equation of the function h(x):

[tex]x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6[/tex]

Answer:

C = 4(-5, 2) (-20, 8)

A = 4(-4, 4) (-16, 16)

T = 4(-1, 2) (-4, 8)

I hope this helps

Step-by-step explanation:

Answer:

its A. (1,9) i know because i just did this apex test

Step-by-step explanation:

Answer:

A prime number has two multiples: 1 and itself.

Step-by-step explanation:

Hope That Helps!

A. prime number has only one multiple: itself.

Prime numbers are numbers greater than 1. They only have 2 factors, 1 and the number itself. This means these numbers can not be divided by any number other than 1 and the number itself without leaving the remainder.

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Answer:

the correct answer would be b)8.2

Step-by-step explanation: