how do you know before graphing, that a system of equations will have exactly one solution?​

Answers

Answer 1

Answer: Because an equation is a simulation of a variety of numbers and due to the inevitability that all mathematical questions are designed to only have one answer,You can only get one solution

Step-by-step explanation:


Related Questions

Which expression is equivalent to

Answers

Answer:

x^6

Step-by-step explanation:

Need help ASAP please :)

Answers

Answer:

a(6) = 2 [tex]\sqrt{3}[/tex] , b(10) = 15 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

A. a(x) = [tex]\sqrt{2x}[/tex]

a(6) = [tex]\sqrt{2(6)}[/tex]

a(6) = [tex]\sqrt{12}[/tex]

a(6) = [tex]\sqrt{4}\sqrt{3}[/tex]

a(6) = 2 [tex]\sqrt{3}[/tex]

B. b(x) = 3 [tex]\sqrt{5x}[/tex]

b(10) = 3 [tex]\sqrt{5(10)}[/tex]

b(10) = 3 [tex]\sqrt{50}[/tex]

b(10) = 3 [tex]\sqrt{25}[/tex] [tex]\sqrt{2}[/tex]

b(10) = 3 x 5 [tex]\sqrt{2}[/tex]

b(10) = 15 [tex]\sqrt{2}[/tex]

order the following list of numbers from least to greatest

Answers

Answer:

The answer is D

29/3 = 9.6 (.6 is repeating)

√94 = 9.69

49/5 = 9.8

9.8 (.8 is repeating)

how many times does 48 go into 123 ​

Answers

Answer:

48 goes into 123 about 2.5625 times.

Step-by-step explanation:

To determine how many times does 48 go into 123, the following mathematical calculation must be performed, by which 123 will be divided by 48 to obtain said number of times:

123/48 = X

2.5625 = X

Therefore, 48 goes into 123 about 2.5625 times.

What is the midpoint of a line segment with endpoints at (2, 3) and (4,5)

Answers

Answer:

(3, 4)

Step-by-step explanation:

First, find the x coordinate of the midpoint by finding the average of the two x values:

(2 + 4) / 2

6 / 2

= 3

Find the y coordinate of the midpoint by finding the average of the two y values:

(3 + 5) / 2

8 / 2

= 4

So, the x coordinate of the midpoint is 3 and the y coordinate is 4.

The midpoint is (3, 4)

What’s the answer (no link I give brainly)

Answers

Answer:

the answer is A

Step-by-step explanation:

I had the same question and I got it correct

A recipe calls for 72 fluid ounces of light whipping cream. If Anthony has 4.5 pints of whipping cream in his refrigerator, does he have enough for the recipe ? PLEASE ANSWER IMMEDIATELY PLEASE​

Answers

Answer:

Yes, he has enough

Step-by-step explanation:

1 pint = 16 onces

4.5 * 16 = 72

Yes, he has enough

Plz help me with this ❤

Answers

Answer:

? is 51°

Step-by-step explanation:

(65 + ?)/2 = 58

Solve for ?

? = 51

Which expression is equivalent to (see the picture)

A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6

Answers

where is the picture though

Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.
Test H0: p = 0.25 vs Ha: p < 0.25 using the sample results p(hat) = 0.15 with n = 102
Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.

Answers

Answer:

Test statistic = - 2.33

Pvalue = 0.010 (3 decimal places)

Step-by-step explanation:

Given :

H0: p = 0.25 vs Ha: p < 0.25

Phat = 0.15

Sample size, n = 102

α = 0.05

The test statistic :

(Phat - p) / (√p(1 - p) /n)

1 - p = 1 - 0.25 = 0.75

(0.15 - 0.25) / (√0.25(0.75) /102)

-0.1 / √0.0018382

-0.1 / 0.0428742

Test statistic = - 2.33

The Pvalue using the test statistic score obtained :

P(Z < - 2.33) = 0.0099031 = 0.010

Pvalue < α ; Reject H0

Without using the formula, work out the gradient of the graph shown.

Give your answer in its simplest form.

Answers

9514 1404 393

Answer:

  3/4

Step-by-step explanation:

The x- and y-intercepts are -4 and +3, respectively. These indicate a rise of 3 units for a run of 4 units. The gradient is the ratio of rise to run (sorry, that is the formula), so is ...

  gradient = 3/4

Can someone please tell me what 597 ➗ 5 is

Answers

Answer:

119.4

Step-by-step explanation:

Big Brain Dude <:

if anyone can help with just one that would be amazing.

Answers

Answer:

8. h( f(x) ) = x²+14x+52

9. h( g(x) ) = 2x

Step-by-step explanation:

These questions are asking you to sub a function into another, and you solve by doing that the same way you would with a number. For example, if question 8 was h(3) instead of h(f(x)), you would sub 3 into h(x) wherever you saw an x, and evaluate. It's the same idea here, just with functions.

8.

h(x)=x²+3

h( f(x) ) = ( f(x) )²+3

h( f(x) ) = ( x+7 )²+3

h( f(x) ) = ( x²+14x+49 )+3

h( f(x) ) = x²+14x+52

9.

h(x)=x²+3

h( g(x) ) = ( g(x) )²+3

h( g(x) ) = ( [tex]\sqrt{2x-3}[/tex] )²+3

h( g(x) ) = (2x-3)+3

h( g(x) ) = 2x

If OB = 6 and AB = 8, then EA

Answers

Answer:

what is that means i think it's better to ask by take a picture

Consider the points plotted on the number line shown below

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Point D is at 4 so that’s true
Point C is at 2.25 so that’s true
Point A is -1.25 and Point D is 4, so point A is less than point D.
They all look true to me

GIVING OUT BRAINLIEST ANSWERR HELP ME QUICK PLLSSSSS ITS ALMOST DUE HELPP !!!

Answers

Answer:

Yes, because they add up to 360

Step-by-step explanation:

Please help what does A equal

Answers

Answer:

a = 23 degrees (brainliest?)

Explanation:

supplementary line is 180 degrees

180 - 157 = 23

ANSWER PLEASEEE I NEED HELP

Answers

Answer:

4,5,12

Step-by-step explanation:

48 square inches indicates the base area of the prism

the base area can be find in this way = dim 1 x dim 2. If we multiply 12 x 4 we can find 48 squares inches

Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
Grace
800, 400, 200, 100, 0, 0
Every number in the pattern will have a 0 or a 5 in its ones place.
Every number in the pattern will have a 0 or a 5 in its tens place.
Every number in the pattern will have a 0 in its ones place.
Every number in the pattern will have a 0 in its tens place.
Done -

Answers

Answer:tbh

Step-by-step explanation:

and\

The probability that the patient recovers from a rare deadly disease is 40% and failure to recover is 60%.If 15 people contracted this disease what is the probability that a. 5 will survive? b. 8 will survive? c.12 will survive?(complete solution)​

Answers

Answer:

a) 0.1859 = 18.59% probability that 5 will survive.

b) 0.1181 = 11.81% probability that 8 will survive.

c) 0.0016 = 0.16% probability that 12 will survive.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that the patient recovers from a rare deadly disease is 40%

This means that [tex]p = 0.4[/tex]

15 individuals

This means that [tex]n = 15[/tex]

a. 5 will survive

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]

0.1859 = 18.59% probability that 5 will survive.

b. 8 will survive

This is P(X = 8). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]

0.1181 = 11.81% probability that 8 will survive.

c.12 will survive

This is P(X = 12). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]

0.0016 = 0.16% probability that 12 will survive.

500 meters to kilometers

Answers

The answer would be 0.5 KM you divide 500 by 1000 to get the answer.

Which equation of a line is parallel to the graph of y = 3x -5 and passes through the point
(1,5)?

Answers

i believe the answer is C.

Please help me with this answer

Answers

9514 1404 393

Answer:

x = 12∠H = 94°

Step-by-step explanation:

The marked angles are supplementary, so ...

  (5x +26)° +(8x -2)° = 180°

  13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24

  x = 12 . . . . . . . . . . . divide by 13

  ∠H = (8x -2)° = (8·12 -2)°

  ∠H = 94°

An article reports on an experiment in which each of five groups consisting of six rats was put on a diet with a different carbohydrate. At the conclusion of the experiment, the DNA content of the liver of each rat was determined (mg/g liver), with the following results:

Carbohydrate xi.
Starch 2.58
Sucrose 2.63
Fructose 2.13
Glucose 2.41
Maltose 2.49

Assuming also that Σ Σ xij^2 = 185.4, does the data indicate that true average DNA content is affected by the type of carbohydrate in the diet? Construct an ANOVA table and use a 0.05 level of significance.

Answers

Answer:

H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples

Step-by-step explanation:

A              B               C          D              E

2.58 2.63 2.13          2.41    2.49

∑A=2.58 ∑B=2.63 ∑C=2.13  ∑D=2.41   ∑E=2.49

A²                           B²                C²               D²             E²

6.6564               6.9169 4.5369             5.8081 6.2001

∑A²=6.6564 ∑B²=6.9169 ∑C²=4.5369 ∑D²=5.8081 ∑E²=6.2001

Calculations

Group A            B           C           D             E       Total

N      n1=1         n2=1 n3=1 n4=1 n5=1 n=5

∑xi T1=2.58    T2=2.63 T3=2.13 T4=2.41 T5=2.49 ∑x=12.24

∑x²i  6.6564      6.9169 4.5369 5.8081 6.2001 ∑x²=30.1184

Mean xi 2.58 2.63 2.13          2.41         2.49 Total2.448

Σ Σ xij^2 = 185.4 given

Let k = the number of different samples = 5

n=n1+n2+n3+n4+n5=1+1+1+1+1=5

Overall ˉx=12.24/5  =2.448

∑x=T1+T2+T3+T4+T5=2.58+2.63+2.13+2.41+2.49=12.24----1

Correction Factor=(∑x)²/n=12.242/5=29.9635--------(2)

∑T²i/ni=(2.582/1+2.632/1+2.132/1+2.412/1+2.492/1)=30.1184------(3)

∑x²=∑x²1+∑x²2+∑x²3+∑x²4+∑x²5

=6.6564+6.9169+4.5369+5.8081+6.2001=30.1184-------(4)

ANOVA:

Step-1 : sum of squares between samples

SSB=(∑T2i/ni)-(∑x)2/n

=(3)-(2)

=30.1184-29.9635

=0.1549

Step-2 : Total sum of squares

SST=SSB-CF

= 185.4-2.488

=182.952

Step-3 : Sum of Squares Within Samples

SSW=∑x²-(∑T²i/ni)=SST- SSB=

        = 182.952-0.1549=182.7971

Step-4 : variance between samples

MSB=SSB/k-1

=0.1549/4

=0.0387

Step-5 : variance within samples

MSW=SSW/n-k

=182.7971/5-5

=36.55942

Step-6 : test statistic F for one way ANOVA test

F=MSB/MSW

=0.0387/36.55942 = 0 .001058

ANOVA table

Source               Sums                  Degrees        Mean

of Variation    of Squares       of freedom        Squares

                                SS                        DF                 MS              F

B/w samples         SSB = 0.1549        k-1 = 4 MSB = 0.0387 0.001

Within samples  SSW = 0               n-k = 0 MSW = 36.55942  

Total                  SST = 0.1549       n-1 = 4  

H0 : The true average DNA content is not affected by the type of carbohydrate in the diet between samples

Ha : The true average DNA content is affected by the type of carbohydrate in the diet between samples

F(4,0) at 0.05 level of significance =0.5

As calculated F=0.001 >0.5

So, H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples

In 2002, the manufacturers of M&M's surveyed people from around the world and asked them to vote for a new color: purple, aqua, or pink. In the United States, 42% of those who voted said purple, 37% said aqua, and 19% said pink. What's the probability that a randomly picked survey respondent from the United States preferred purple or pink?

Answers

Answer:

don't know

Step-by-step explanation:

dont know...........

Marta walked at 4.7 miles per hour for 0.83 hours. How far did she walk?

Answers

The answer is 2.808 I think

The triangle represents a scale drawing that was created by using a factor of One-half. A triangle with sides lengths of 5 inches. Which is true of the measures of the sides of the original triangle? Each side of the original triangle is One-half the length of each side of the scale drawing. Each side of the original triangle is 2 times the length of each side of the scale drawing. Each side of the original triangle is the same length as each side of the scale drawing. Each side of the original triangle is 2 inches shorter than the scale drawing.

Answers

Answer:

Step-by-step explanation:

C

Answer:

D (Each side of the original triangle is 2 times the length of each side of the scale drawing.)

Step-by-step explanation:

I did it on Edge 2021.

Consider this data set.
13, 17, 21, 3, 14, 34, 22, 20, 16, 19, 15
Which data values are outliers?
Select each correct answer
3
13
15
34

Answers

Answer:

3 and 34

Step-by-step explanation:

they are the extremes in this, you want to look for out of place numbers when dealing with outliers

A box contains 3 defective batteries and 7 good ones. You reach in and pull out three
batteries. What is the expected number of defective batteries?

Answers

Answer:

The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.

Step-by-step explanation:

Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:

3 + 7 = 100

3 = X

10 = 100

3 = X

3 x 100/10 = X

300/10 = X

30 = X

3 x 3/10 = X

0.9 = X

Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.

Help Help Help Help Help Help Help Help!!!!

Answers

the answer is c m=-10

Answer:

option c is the correct answer

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