Find the value of x for which the graph of y = 3x² – 10x + 7 achieves its minimum y-value.​

...................................................

3,5  +  4,5

 +        +

9,5  -  3,5

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Answer:

Step-by-step explanation:

given f(x)=|x+2 |

after reflection f'(x)=-|x+2|

domain is same.

domain is all real numbers.

The domain is all real numbers.

The domain of a function is the set of all feasible inputs for the function. as an example, the area of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=zero.

let y = f(x) be a feature with an independent variable x and a structured variable y. If a function f gives a way to efficaciously produce a single price y the use of for that reason a value for x then that selected x-price is stated to belong to the domain of f.

Learn more about the domain here https://brainly.com/question/26098895

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Answer:

(-3, -4)

Step-by-step explanation:

6 units down from point F will be x: 2, y: -4

5 units left from there will be x: -3, y: -4

Answer:To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2.

Step-by-step explanation:

The decimal multiplier of a number to increase by 99% will be 1.99.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

Let's consider the number x.

To increase it by 20% we need to find 20% of it so 0.20x

Now, add this 20% to x so that it will increase by 20% as,

0.20x + x = 1.20x

Thus,to increase the number by 20% we need to multiply 1.20

Similarly to increase a number by 99% we need to multiply with 1.99.

Hence "The decimal multiplier of a number to increase by 99% will be 1.99".

For more about the percentage,

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Step-by-step explanation:

Total songs = 193

Probability of pop song = 39/193 = 0.202

Answer:

9/20

Step-by-step explanation:

The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here.  If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.

Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20

Answer:

so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability

Answer:

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

Proved: This product shows that the slopes are negative reciprocals

Question:

The complete question as seen on brainly ( question ID = 13270010):

Determine the missing information in the paragraph proof.

Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

Prove: The slopes of perpendicular lines are negative reciprocals.

The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction

The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Step-by-step explanation:

Line PQ contains the points (a, b) and (c, d)

Line P’Q’ contains the points (–b, a) and (–d, c)

The two lines are said to be perpendicular.

For two lines are said to be perpendicular, the product of the slope of the two lines must be equal to -1.

Let's determine if it's true for this two lines.

Find attached the the diagram and explanations.

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

This product shows that the slopes are negative reciprocals

Answer:5

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:

Given: Triangle L N P has centroid S.

[tex]NS=7x-3, SR=5x-3[/tex]

To find: NS

Solution:

Centroid is the point of intersection of the medians of the triangle such that it divides each of the median in ratio [tex]2:1[/tex]

So,

[tex]NS:SR=2:1\\\frac{NS}{SR}=\frac{2}{1} \\[/tex]

Put [tex]NS=7x-3, SR=5x-3[/tex]

[tex]\frac{7x-3}{5x-3}=\frac{2}{1}\\ 7x-3=10x-6\\10x-7x=-3+6\\3x=3\\x=1[/tex]

Therefore,

[tex]NS=7x-3=7(1)-3=4\,\,units\\SR=5x-3=5(1)-3=2\,units[/tex]

So,

[tex]NS=NS+SR=4+2=6\,\,units[/tex]

Answer:

The answer is 4

Step-by-step explanation:

It asks for the length of NS not the length of NR

Answer:

The slope would be 2

Step-by-step explanation:

Your slope-intercept form is always y=mx + b

The b is always your constant

The mx is your slope

The y is your output

Answer: Slope: 2 & Y-int: -6.

Step-by-step explanation:

I will try to explain it in my own simple way for you to understand, however, I may be wrong.

The form, y=mx+b, think of f(t) as y, the 2t as m, the t as x, and the -6 as the y-intercept. Since the -6 is the opposite of +b, in the y=mx+b, it would be -6.

Hope this helped.

Answer:32.09

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

To Find Out What are the four Positive Integers, Let's Prime Factorize 110:

110 = 1 × 2 × 5× 11

This means these are the four positive integers by multiplying which results in 110.

Now, The sum of these integers:

=> 1+2+5+11

=> 19

Answer:

grgrtgdegtrt

Step-by-step explanation:

etetetetrdgtfrrgdergdrg

Answer:

41 degrees

Step-by-step explanation:

Since the sum of the interior angles of a triangle will always be 180 degrees:

42+56+2x=180

2x=82

x=41

Hope this helps!

Answer:

[tex]solution \\ 42 + 56 + 2x = 180(sum \: of \: angle \: in \: triangle) \\ or \: 98 + 2x = 180 \\ or \: 2x = 180 - 98 \\ or \: 2x = 82 \\ or \: x = \frac{82}{2} \\ x = 41[/tex]

hope this helps...

Good luck on your assignment...

Answer: [tex]\frac{5x-29}{6}[/tex]

Step-by-step explanation:

To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.

[tex]\frac{2(x-7)}{6} -\frac{3(5-x)}{6}[/tex]

Now that the fractions have the same denominator, we can distribute the numerator and subtract.

[tex]\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}[/tex]

Answer:

- 11x² + 4x + 14

Step-by-step explanation:

Given

(9 - 3x²) + (- 8x² + 4x + 5) ← distribute both parenthesis by 1

= 9 - 3x² - 8x² + 4x + 5 ← collect like terms

= - 11x² + 4x + 14 ← sum of the polynomials

Answer:

D.)[(-3x^2)+(-8x^2)]+4x+[9+5]

Step-by-step explanation:

The reason this is right is because I took the quiz.

Answer:

Option B.

Step-by-step explanation:

The given function is

[tex]f(x)=-2\sqrt{x-7}+1[/tex]

The above function is defined if (x-7) is greater than 0.

[tex]x-7\geq 0[/tex]

Add 7 on both sides.

[tex]x\geq 7[/tex]

It is means domain of the function is [tex][7,\infty)[/tex]. So, -6 is not in domain.

We know that

[tex]\sqrt{x-7}\geq 0[/tex]

Multiply both sides by -2. So, the sign of inequality will change.

[tex]-2\sqrt{x-7}\leq 0[/tex]

Add 1 on both sides.

[tex]-2\sqrt{x-7}+1\leq 0+1[/tex]

[tex]f(x)\leq 1[/tex]

It is means range of the function is [tex](-\infty,1][/tex]. So, -6 is in Range.

Since –6 is not in the domain of f(x) but is in the range of f(x), therefore the correct option is B.

Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Average = [tex]\frac{58 + 70+59.5+62+66.4+72+81.3+75+83.3+75.5}{10} =\frac{703}{10} =70.3[/tex]

Now find how many are greater than 70.3

72, 81.3, 75, 83.3, and 75.5

Answer:

135° and 225°

Step-by-step explanation:

basically you want to find the value of x between 0 and 360 in this equation

cos x/2 = -(√2)/2

assume x/2 as n, so

cos n = -(√2)/2

n = 45°

then remember the quadrant system

0-90 1st quadrant, all is POSITIVE

90-180 2nd quadrant, only SIN has positive value

180 - 270 3rd quadrant, only TAN has positive value

270 -360 4th quadrant, only COS positive here.

so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)

so the value of x is

180 - 45 = 135° (2nd quadrant) and

180 + 45° = 225° (3rd quadrant)

Answer:

x=-1/4

Step-by-step explanation:

Answer: She worked as a carpenter for 12 hours and a blacksmith for 18 hours.

Step-by-step explanation:

18*25 = 450

12*20 = 240

240 + 450 = 690

12 + 18 = 30.

Answer:

First answer is correct

Step-by-step explanation:

JI = VK (side)

IJK = VKJ (angle)

JK = JK (side)

so, JKI TRIANGLE IS CONGRUENT TO JVK TRIANGLE

hope this helps

brainliest appreciated

good luck! have a nice day!

6. C.

7. B.

8. B.

9. B.

10. C

Answer: $172.50

Step-by-step explanation:

$2300 x 0.075 = $172.50

You can double check quickly because you know 10% of 2300 is $230, so 5% is $115.  The answer is halfway between the 5% and 10% numbers, so you know it is reasonable.

Answer:

ellipses and hyperbolas as a simple form has the x-axis as principal axis and the origin (0,0) as center. If it's a circle, c = 0 so a2 = b2. And for the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a.

(I'm sorry I got most of this from google) :(

Answer:

y=-8x+5

Step-by-step explanation:

The others have a slope of -2, 7, and 6, which is not as steep as -8.

Answer:

A) y = -8x + 5

Step-by-step explanation:

Just took the test!

Correct me if I'm wrong!

Thank you

Tisa B Sora

Answer:

The vertical asymptote for the reciprocal of y=8x-4 is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given Equation : [tex]y = 8x-4[/tex]

Reciprocal of given equation =[tex]\frac{1}{y}=\frac{1}{8x-4}[/tex]

Now to find the vertical asymptote

[tex]\frac{1}{y}=\frac{1}{8x-4}[/tex]

Equate denominator to 0

8x-4=0

8x=4

[tex]x=\frac{4}{8}[/tex]

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

So, The vertical asymptote is[tex]\frac{1}{2}[/tex]

Hence the vertical asymptote for the reciprocal of y=8x-4 is [tex]\frac{1}{2}[/tex]

Answer:

rational

Step-by-step explanation:

Answer:

Rational.

Step-by-step explanation:

A real number is rational.

Answer:

8x +36

Step-by-step explanation:

(-2x - 9)(-4).

Distribute

-4* -2x  -4 * -9

8x +36

Answer:

8x + 36

Step-by-step explanation:

Because everytime you multiply 2 negative numbers the sign changes to plus.