Use the drawing tools to form the correct answers on the graph. Plot the vertex and the axis of symmetry of this function: f(x) = (x – 3)2 + 5.

Answer:

[tex]x\geq 3[/tex] is the inequality to find the Domain of f(x)

Step-by-step explanation:

When we have a function where the variable "x" is inside a square root, we find its Domain by looking for all those values x for which the function is defined for the root, which means all the x-values that make the expression inside the root larger than or equal to zero, avoiding the values smaller for which the square root is not defined.

Therefore, in this case , for

[tex]f(x)=\sqrt{x-3}[/tex]

we ask for the x-values that verify:

[tex]x-3\geq 0\\x\geq 3[/tex]

where we have isolated x on one side of the equal sign.

This would be the definition of the Domain of the function.

Answer:

The answer is C

Step-by-step explanation:

Answer:

12 sides

Step-by-step explanation:

To find the number of sides, use a formula.

[tex]\frac{360}{\theta }=n[/tex]

θ is the measure of each exterior angle of the regular polygon.

n is the number of sides of the regular polygon.

[tex]\frac{360}{30} =12[/tex]

Answer:

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of samples is important in an experiment, that is, to carry it out in a random way.

Step-by-step explanation:

For example;

If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.

Answer:

180°

Step-by-step explanation:

Answer:

180 =  arc JKM

Step-by-step explanation:

Angle JM is a straight line so the angle is 180

Central Angle = Intercepted Arc

angle JM = arc JKM

180 =  arc JKM

Answer:

The Answer is 180

Step-by-step explanation:

Answer: C

explanation:  a p e x

Explanation:

Start with the template they give, which is y = ax+b. From here, replace 'a' with -2.9 and b with 13.5 to get the answer y = -2.9x + 13.5

The r and r^2 values aren't used to form the regression line. Instead, they are ways to see how good a fit we have. Since r is fairly close to -1, this means we have a really strong negative correlation. All of the points are close or around the same straight line with a negative slope (that slope being -2.9).

Answer: 3.33

Step-by-step explanation:

Multiplication and division should be solved left to right.

[tex]37/100*9\\\\Divide(100)\\\\0.37*9\\\\Multiply(9)\\\\3.33[/tex]

Hope it helps <3

Answer:

=37/100×9=.

=divide 37 by 100

=0.37 ×9

=3.33

Answer:

210

Note: this answer might be incorrect because of the value of music (212). This doesn't make logical sense.

Step-by-step explanation:

Hello,

This question can easily be solved through the use of a venn diagram.

Total number of students = 55

Number of medals in sport = 40 = A

Number of medals in dance = 25 = B

Number of medals in music = 212 = C

Number of students that got award in the three categories = (AnBnC) = 6

n(AuBuC) = 55

n(AnB) + n(BnC) + n(AnC) - 3n(AnBnC) =

n(AnB) + n(AnB) + n(AnC) -3×6 ......equation (i)

n(AuBuC) = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Therefore,

n(AnB) + n(BnC) + n(AnC) = n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC)

n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC) - 18

40 + 25 + 212 + 6 - 55 - 18 = 210

Note: this answer might be incorrect because of the value of C (music)

Answer:

[tex]\huge\boxed{x = 8,\ but\ x = 3\ is\ extraneous}[/tex]

Step-by-step explanation:

[tex]\sqrt{x+1}+5=x\\\\\text{Domain:}\ x+1\geq0\to x\geq-1\\\\\sqrt{x+1}+5=x\qquad\text{subtract 5 from both sides}\\\sqrt{x+1}=x-5\qquad\text{square both sides}\\(\sqrt{x+1})^2=(x-5)^2\qquad\text{use}\ (\sqrt{x})^2=x\ \text{and}\ (a-b)^2=a^2-2ab+b^2\\x+1=x^2-2(x)(5)+5^2\\x+1=x^2-10x+25\qquad\text{subtract}\ x\ \text{and}\ 1\ \text{from both sides}\\0=x^2-11x+24[/tex]

[tex]ab=24;\ a+b=-11\\a=-8;\ b=-3\\\\x^2-11x+24=0\\x^2-8x-3x+24=0\qquad\text{distribute}\\x(x-8)-3(x-8)=0\qquad\text{distribute}\\(x-8)(x-3)=0\\\\\text{The product is 0 if one of the factors is 0. Therefore}\\(x-8)(x-3)=0\iff x-8=0\ \vee\ x-3=0\\x-8=0\qquad\text{add 8 to both sides}\\\boxed{x=8}\in D\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}\in D[/tex]

[tex]\text{For}\ x=8:\\\sqrt{8+1}+5=8\\\sqrt{9}+5=8\\3+5=8\\8=8\qquad\bold{CORRECT}\\\text{For}\ x=3:\\\sqrt{3+1}+5=3\\\sqrt4+5=3\\2+5=3\\7=3\qquad\bold{FALSE}[/tex]

Answer:

3

Step-by-step explanation:

2x-xy

2(-1/2)-(-1/2)(8)

-1+4

=3

Answer:

C = 1/4

Step-by-step explanation:

When solving a quadratic equation, there are steps to follow and I'll highlight them here.

Assuming we have an equation

ax² + bx + c = 0

Step 1

If a is not equal to 1, divide all through by a

x² + bx + c = 0

Take c to the other side of the equation

x² + bx = c

Step 2

Add (b/2)² to both sides of the equation

x² + bx + (b/2)² = c + (b/2)²

In our original question,

We had x² + x = 3

a = 1 , b = 1 c = 3

Using step two, we would have

(b / 2)² = (½)² = ¼ (which is the answer)

Now back to the steps

Step 3

We factor our left side of the equation so as to have a perfect square

[x + (b/2)]² = c + (b/2)²

Step 4

Take the square root of both sides of the equation and solve for x

x + b/2 = ±√[c + (b/2)²]

The answer to the question is ¼

Answer:

1/4

Step-by-step explanation:

Answer:

6 ^ 5743yy^€_*$%_$/_/^€^=÷/_#×

Answer:

x = - [tex]\frac{96}{23}[/tex]     or   x=  4.1739

Step-by-step explanation:

[tex]\frac{3x}{8}[/tex]  -  [tex]\frac{4x}{3}[/tex]  =  4

I will show  two methods  of solving this equation

First method

We will follow the steps below:

First find the LCM of 8 and 3

The LCM of 8 and 3 is 24

Next is to multiply through by 24

Our equation becomes

24 ×[tex]\frac{3x}{8}[/tex]  - 24× [tex]\frac{4x}{3}[/tex]  = 24× 4

3×3x    -  8×4x    =24×4

9x  -  32x   = 96

-23x = 96

Divide both-side of the equation by - 23

-23x/-23= 96/-23

x=-[tex]\frac{96}{23}[/tex]        or      x=4.1739

second method

[tex]\frac{3x}{8}[/tex]  -  [tex]\frac{4x}{3}[/tex]  =  4

[tex]\frac{9x - 32x}{24}[/tex]   =   4

multiply both-side of the equation by 24   or cross multiply

9x - 32x = 96

-23x = 96

divide both-side of the equation by -23

x = - [tex]\frac{96}{23}[/tex]     or   x=  4.1739

Answer:

sqrt(6)

Step-by-step explanation:

In a 45-45-90 right triangle, the ratio of the lengths of the sides is

1 : 1 : sqrt(2)

u = sqrt(3) * sqrt(2) = sqrt(6)

Answer:

√6 meters

Step-by-step explanation: In a 45° right triangle, the two sides of the 90° angle are equal. a^2+b^2=c^2

2(√3)^2 = 6

√c^2 = √6.

Answer: -10

Step-by-step explanation:

7 - 17 = -10.  An easy way to do this (with only two terms) is to just flip it, and do 17 - 7 = 10, then make 10 negative(-10)

Hope it helps <3

Answer:

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The colony begins with 97 cells. The cells split into two which is the same as multiplying by 0.5.

2. Multiply 97 by 0.5 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.

  Tan = Opposite/Adjacent

  tan(T) = SU/ST

  tan(T) = (5√51)/(5√17) = √3

Now, the arctangent function is used to find the angle whose tangent is √3.

 T = arctan(√3) = 60°

Answer:

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Step-by-step explanation:

Cost of k key chain=$2.49

Cost of p photo frames=$2.49

Cost of a T-shirt=$5.99

Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt

=2.49k + 2.49p + 5.99

Factorise

2.49 is common to both k and p

=2.49(k + p) + 5.99

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Answer: A. 82

Step-by-step explanation:

The measure of <BAD can be found by simply adding 25(<BAC)+57(<CAD) = 82.

[tex]\mathrm{BAD}=\mathrm{BAC}+\mathrm{CAD}=25^{\circ}+57^{\circ}=82^{\circ}[/tex].

Hope this helps.

Answer:

No they can't be equal

Step-by-step explanation:

L.H.S. :-

2/3 × ( -6/7 + 4/5 )

=> 2/3 × -2/35

=> -4/105

R.H.S

(2/3 × 4/5) × -6/7

=> 8/15 × -6/7

=> -48/105

L.H.S IS NOT EQUAL TO R.H.S.

Answer:

$541.67 per month

Step-by-step explanation:

Tuition and other expenses = $8,250 per semester.

There are two semesters in a year

She has 4 years to spend

Total semester=4years*2semesters

=8 semesters

4 years in college which is a total of 8 semesters.

Total Tuition and other expenses = $8,250 * 8

= $66,000

She needs a total of $66,00 to complete her college

Assistance from parents=$15,000

Financial aid(per semester)=$4750

Total financial aid=$38,000

Total assistance=

Assistance from parents+ financial aid

=$15000+$38,000

=$53,000

Total savings=Total amount needed - Total assistance

=$66,000 - $53,000

=$13,000

She needs to save $13,000 in two years

There are 12 months in one year

2 years=2*12=24 months

Monthly savings=Total savings/24 months

=$13,000/24

=$541.666666

To the nearest cent

=$541.67

Answer: $541.67

Step-by-step explanation: Got it right on TTM.

Answer:

f( x ) = 4( [tex]2^x[/tex] )

Step-by-step explanation:

If we vertically stretch a graph by a factor of 4, the " exponential slope " extending from the x - axis, should increase by a factor of 4 as well.

Therefore, the previous function is expressed by the following ...

f( x ) = [tex]2^x[/tex] ... then this new function should be -

f( x ) = 4( [tex]2^x[/tex] )

The equation of this new function is f( x ) = 4( [tex]2^x[/tex] )

Step-by-step explanation:

Hi,

I like playing with the numbers. I do it either by playing games or by solving problems containing numbers. I also play to earn money for myself.

I use numbers form my date of birth, my telephone number, my street number, sometimes my house number to play lucky draws and try out my luck to win a jackpot. Sometimes I win and sometimes I loose.

So, I love to play with numbers.

Whenever I win, mostly I chose to take a lump sump amount so that I can immediately invest it in some other work to gain money.

Answer:

The correct option is;

We cannot infer a cause and effect relationship because we do not have a control group

Step-by-step explanation:

The treatment in research involves giving stimulus known as treatment to a group or portion of the sample which are then known as the treatment group while the remaining portion of the the sample are exempted from the stimulus. A successful treatment manipulation is one where members of the treatment group perform higher in the measured metrics of the research than members of the control group.

Given that the researchers gathered data from a random sample of drivers and measurement of several variables  including the explanatory  variable of the of the research without subjecting a sample to a treatment or having a control group we cannot infer a cause and effect relationship as there are no control group

Answer:

10:23

Step-by-step explanation:

Total number of players on the team = 20 + 26 = 46 players

Number of girls = 20

Ratio of the number of girls to the number of players on the team = 20/46 = 10/23 = 10:23

Ratio is 10:23

Answer: 115 swords

Step-by-step explanation:

He forged 32 swords from copper, 2*32 from iron and 19 from mythril.  Thus, he forged 32+(32*2)+19, or 32+64+19, or 115 swords.

Hope it helps <3

Answer:

110

Step-by-step explanation:

no need

The constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3

For us to determine the constant of proportionality of the given graph, we must first find the equation of the line.

The standard equation of a line is expressed as y = mx + b

Using the coordinate points (0, 0) and (2, 6)

Get the slope "m"

[tex]m=\frac{6-0}{2-0}\\m=\frac{6}{2}\\m=3[/tex]

Since the line passed through the origin, the y-intercept is 0

Get the required equation:

y = mx + b

y = 3x + 0

y = 3x

From the equation, the constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3

Learn more here: https://brainly.com/question/13441754

Answer:

Step-by-step explanation:

x-y=6

(0,-6),(6,0)

4x+y=4

(0,4),(1,0)

point of intersection:

Answer:

for first eq

three points are (7,-1) (6,0) and (5,1)

for second eq

three points are (1,0) (0,4) and (-1,8)

point of intersecton is (2,-4)

Step-by-step explanation:

check by substituting if u want

hope i helped

pls give brainliest

im trying to level up

Answer:

39 students

Step-by-step explanation:

let x represent the number of students taking both current event and foreign language

there are : 70 eight grader taking current event and 54 taking foreign

70+54-x=93

-x=93-124

x= 31 students taking both

number of eighth graders take only a current events class and not a foreign language class: 70-31=39 students