Classify the triangle shown below. Check all that apply.

Answer:

[tex]g(x)=x^2-x[/tex]

Step-by-step explanation:

Given function is [tex]F\left(x\right)=x^2+3x+2[/tex].

Function [tex]F\left(x\right)=x^2+3x+2[/tex] is shifted 2 units right and gives result to a new function g(x).

Now we need to find about what is the equation of g(x).

We know that f(x-h) indicates right shift by "h" units.

So to get 2 units shift, replace x by (x-2) into given function

[tex]g(x)=F\left(x-2\right)[/tex]

[tex]g(x)=(x-2)^2+3(x-2)+2[/tex]

[tex]g(x)=x^2-4x+4+3x-6+2[/tex]

[tex]g(x)=x^2-x[/tex]

Hence final answer is [tex]g(x)=x^2-x[/tex].

ANSWER

1. No solution

2. 4 and 6

3. 81

EXPLANATION

1. The given quadratic equation is

[tex] {x}^{2} + 1 = 0[/tex]

This implies that:

[tex] {x}^{2} = - 1[/tex]

There is no real number whose square is negative one.

This quadratic equation has no solution.

2. The given quadratic equation is

[tex] {x}^{2} - 10x + 24 = 0[/tex]

We split the middle term with -6,-4 because their product is 24 and their sum is -10

[tex]{x}^{2} - 6x - 4x+ 24 = 0[/tex]

We factor by grouping

[tex]{x}(x - 6)- 4(x - 6)= 0[/tex]

[tex](x - 6)(x - 4)= 0[/tex]

We have x=4 and x=6.

3. The given quadratic equation is

[tex] {x}^{2} - 18x = 7[/tex]

We the square of half the coefficient of x to both sides of the equation.

[tex]( - \frac{18}{2} )^{2} = ( { - 9)}^{2} = 81[/tex]

The correct choice is C.

After distributing the -1, you will find

y+7= -x-6

Finally, isolate y to find your answer in the linear form of

y= -x-13

Answer:48 red marbles

Step-by-step explanation:

144÷24= 6

6*5= 30 white

6*11= 66 black

6*8= 48 red

Answer:  The number of red marbles in the jar is 48.

Step-by-step explanation:  Given that the number of white, black and red marbles in a jar are in the ratio 5 : 11 : 18. And the total number of marbles in the jar is 144.

We are to find the number of red marbles in the jar.

Let, 5x, 11x and 8x be the number of white, black and red marbles in the jar.

Then, according to the given information, we have

[tex]5x+11x+8x=144\\\\\Rightarrow 24x=144\\\\\Rightarrow x=6.[/tex]

Therefore, the number of red marbles will be

[tex]8x=8\times6=48.[/tex]

Thus, there are 48 red marbles in the jar.

Answer:

360

Step-by-step explanation:

f varies directly as g

f = kg  where k is the constant of variation

f varies inversely as h

f = kg/h

We know g = 198 when  h = –11 and f = –6.  Substituting in

-6 = k*198/(-11)

-6 =k*(-18)

Dividing each side by -18

-6/-18 = k*-18/-18

1/3 =k

Our equation is

f = 1/3 g/h

Letting  f = 12 and h = 10

12 = 1/3 g/10

Multiply each side by 10

12*10 =1/3 g/10*10

120 = 1/3 g

Multiply each side by 3

120*3 =1/3 g *3

360 =g

Answer:

Step-by-step explanation:

2x-10 is your answer

Answer:

D. 2x+5

Step-by-step explanation

All you have to do is put them all together and there you have it your answer of D 2x+5

Answer:

The range is 19

Step-by-step explanation:

First, you have to order the numbers from least to greatest:

-9.5, -3.1, 3.1, 3.2, 4.7, 4.9, 5.4, 6.3, 9.5

Then, you have to find the difference between the largest number and and smallest number. You do this by subtracting them:

9.5 - (-9.5)= 19

So, the range is 19

Answer:

70/9

Step-by-step explanation:

multiply the parenthesis

add the constant together then divide

Answer:

70 / 9

Step-by-step explanation:

9(X - 9) = -11

9X - 81 = -11

      9X = -11 + 81

      9X = 70

        X = 70 / 9

Answer:

the answer is 3

Step-by-step explanation:

21/8 simplify is 3

Yeah, The answer is 3

The solution is X=0.4

The answer is the first one

ANSWER

A.) The graph of f(x) is horizontally compressed.

EXPLANATION

The given absolute value function is

[tex]f(x) = - 6 |x + 5| - 2[/tex]

The parent function is

[tex]y = |x| [/tex]

Since the factor -6 has an absolute value greater than 1, the graph of the given function will be narrower than the graph of the base function.

Hence the graph is horizontally stretched by a factor of 6.

The graph opens downwards because of the negative sign.

It has vertex at (-5,-2)

Answer:

See attachment

Step-by-step explanation:

The given function is [tex]y=\cos x +3[/tex]

The base function is [tex]y=\cos x[/tex]

The single transformation applied to this function is a vertical upward shift by 3 units.

Therefore the graph of  [tex]y=\cos x +3[/tex] is graph of  [tex]y=\cos x [/tex] shifted up 3 units.

See attachment

Answer: B

Step-by-step explanation:

Just did the test on edge

Answer: Second Option

{x| x< -3 ∪ x > 3}

Step-by-step explanation:

To solve the inequality

[tex]| x | >3[/tex] there are two cases:

Case 1.   [tex]x>0[/tex]

[tex]x > 3[/tex]

Case2. [tex]x<0[/tex]

[tex]-x > 3[/tex]

[tex]x < -3[/tex]

The final solution is the union of the solution of each case

This is:

[tex]x < -3[/tex] or [tex]x > 3[/tex]

{x| x< -3 ∪ x > 3}

f(x)= x[tex]x^2+x-30[/tex

    = [tex](x)^2+2*x*\frac{1}{2} +(\frac{1}{2} )^2-(\frac{1}{2} )^2-30[/tex]

    = [tex](x+\frac{1}{2} )^2-\frac{1}{4} -30[/tex]

    = [tex](x+\frac{1}{2} )^2-\frac{121}{4}[/tex]

    =[tex](x+\frac{1}{2} )^2-30\frac{1}{4}[/tex] (Answer)

1/3 = 33%

33% * 390 = 118.8

Your answer 118.8 degrees

Answer: 120 degrees

Step-by-step explanation:

Just did it.

Answer:

3.6 hours

Step-by-step explanation:

Blake can do work in hours = 9

Blake can do a part of work in 1 hour = [tex]\frac{1}{9}[/tex]

Ned can paint the same room in six hours.

Ned can do a part of work in 1 hour = [tex]\frac{1}{6}[/tex]

They can do a part of work together in 1 hour =  [tex]\frac{1}{9}+\frac{1}{6}[/tex]

                                                                           =  [tex]\frac{5}{18}[/tex]  

Now they can do [tex]\frac{5}{18}[/tex]  part of work in hour = 1

So, they can do whole work in hours =  [tex]\frac{1}{\frac{5}{18}}[/tex]

                                                             =  [tex]3.6[/tex]

Hence it will take 3.6 hours to paint the room if they work together.

I would say option A best proves it is a parallelogram.

Answer:

2/5

Step-by-step explanation:

There are 10 marbles and 4 of them are purple. That would give you the fraction 4/10. 4/10 can be simplified to 2/5. So, you have a 2/5ths chance of choosing a purple marble.

The probability of selecting a purple marble from a bag containing 10 marbles, 4 of which are purple, is 2/5.

The question asks: "A bag contains 10 marbles. Four of the marbles are purple. What is the probability you will choose a purple marble from the bag?" To find the probability, you divide the number of favorable outcomes (choosing a purple marble) by the total number of outcomes (all the marbles in the bag). Here, there are 4 purple marbles and 10 marbles in total.

The probability is therefore 4/10, which can be simplified to 2/5. So, the probability of choosing a purple marble from the bag is 2/5.

14+38=52

52-38= 14

Answer: 38 and 14.

I think this is the answer.

33 and 19

33+19=52

33-19=14

Answer:

[tex]\large\boxed{y=-\dfrac{1}{2}x+\dfrac{3}{2}}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ 2x-y=5.\\\\\text{Convert to the slope-intercept form y = mx + b:}\\\\2x-y=5\qquad\text{subtract 2x from both sides}\\\\-y=-2x+5\qquad\text{change the signs}\\\\y=2x-5\to m_1=2\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.[/tex]

[tex]\text{The equation of the searched line:}\ y=-\dfrac{1}{2}x+b.\\\\\text{The line passes through }(3,\ 0).\\\\\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\\\\0=-\dfrac{1}{2}(3)+b\\\\0=-\dfrac{3}{2}+b\qquad\text{add}\ \dfrac{3}{2} \text{to both sides}\\\\b=\dfrac{3}{2}[/tex]

Answer:

C. (5, -2)

Step-by-step explanation:

Midpoint:

x = (x1+x2)/2 = (16-6)/2 = 10/2 = 5

y = (y1+y2)/2 = (5 - 9)/2 = -4/2 = -2

Answer

Midpoint (5, -2)

The midpoint of the graphed line segment is (5, -2)

The correct option is C) (5, -2).

The midpoint formula is expressed as;

Midpoint = ( ( x₁+x₂ )/2, ( y₁+y₂ )/2 )

From the graph:

Point 1 (16, 5)

x₁ = 16

y₁ = 5

Point 2 (-6,-9)

x₂ = -6

y₂ = -9

Plug the coordinates into the above formula and solve for the midpoint:

Midpoint = ( ( x₁+x₂ )/2, ( y₁+y₂ )/2 )

Midpoint = ( ( 16+(-6) )/2, ( 5+(-9) )/2 )

Midpoint = ( ( 16 - 6 )/2, ( 5 - 9 )/2 )

Midpoint = ( 10/2, -4/2 )

Midpoint = ( 5, -2 )

Therefore, the midpoint is (5, -2).

Option C) (5, -2) is the correct answer.

Learn more about the midpoint formula here: https://brainly.com/question/28577846

#SPJ3

Answer:

D

Step-by-step explanation:

Value of the function [tex]\lim_{x \to 4} \dfrac {g}{h}(x)[/tex] is zero.

Correct option is b.

Limits are defined as values ​​to which the function approximates the output for given input values. The limit is the unique real numbers. Given a real-valued function "f" and a real number "c", the limit is usually defined as [tex]\lim_{x \to c} f(x) = L[/tex]. We read that "the limit of f of x is equal to L as x approaches c". "lim" represents the limit, and the right arrow indicates that the function f(x) approaches the limit L as x approaches c.

Given functions,

[tex]\lim_{x \to 4} f(x) = 5 , \lim_{x \to 4} g(x) = 0, \lim_{x \to 4} h(x) = -2[/tex]

[tex]=\lim_{x \to 4} \dfrac {g}{h}(x)[/tex]

[tex]=\lim_{x \to 4} \dfrac {g(x)}{h(x)}[/tex]

[tex]=\dfrac{\lim_{x \to 4} g(x)} {\lim_{x \to 4} h(x)}[/tex]

= 0/-2

= 0

Hence, 0 is the value of function [tex]\lim_{x \to 4} \dfrac {g}{h}(x)[/tex] .

Learn more about limit here:

https://brainly.com/question/12207539

#SPJ2

[tex] \sqrt{0.81} = (0.9)[/tex]

Answer:

the correct answer is .9

.9 times .9 is .81

blackpink dun dunna dun dun dun dunna

ANSWER

[tex]b \geqslant - 18[/tex]

EXPLANATION

The given inequality is:

[tex] - 18 \leqslant b[/tex]

We can rewrite this as:

[tex]b \geqslant - 18[/tex]

The above two inequalities have the same meaning.

Reading from right to left, the first inequality says, "b is greater than or equal to negative 18."

Reading from left to right, the second inequality says, "b is greater than or equal to negative 18."

Therefore the two inequalities have the same meaning.

Step-by-step Answer:

Many inequalities are possible, for example:

Keeping the less than or equal to sign, we could write

-18-b<=0

or, switching sides,

b>= -18   (just by switching sides)

b+18>=0  (by transposing -18 to the left)

Then again, we can multiply both sides by -1, but we need to change the direction of the inequality:

18>=-b

or equivalently, by transposing 18 to the other side

0>=-b-18

and similarly

b+18>=0  (we already had this above)

Guess time to stop!

Answer:

The equation [tex]y=x^2+1[/tex] will be a parabola when it is graphed

Answer:

It's a parabola

Step-by-step explanation:

The equation seems to a parabolic function. The parabola is defined as:

[tex]y=Ax^2+b[/tex]

where b is a displacement, we can notice that in our case A=1 and b=1

so it is a parabola with a vertical displacement of one unit.

2, -1. I think, possibly.

Answer:

3, -1

Step-by-step explanation:

Answer: [tex](f-g)(x)=-x+10[/tex]

Step-by-step explanation:

Given the function f(x):

[tex]f(x)=3x-1+4[/tex]

And given the function g(x):

[tex]g(x)=4x-7[/tex]

You must subtract both functions is order to find [tex](f-g)(x)[/tex].

You need to remember the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(+)(-)=-[/tex]

Then:

[tex](f-g)(x)=3x-1+4-(4x-7)[/tex]

Now, you must distribute the negative sign:

[tex](f-g)(x)=3x-1+4-4x+7[/tex]

And finally, add the like terms. Then you get that  [tex](f-g)(x)[/tex] is:

[tex](f-g)(x)=-x+10[/tex]

Answer:

hypotenuse = 20

leg = x + 4

other leg = x

From the Pythagorean Theorem we know that

20^2 = (x + 4)^2 + x^2

400 = x^2 + 8x + 16 + x^2

2 x^2 + 8x -384 = 0

Solving the quadratic equation we get

x = 12 and x = -16

x = 12 and so the lengths of the 2 legs are:

12 and 16

Right Triangle Area = (leg1 * leg2) / 2

Right Triangle Area = (12 * 16) / 2

Area = 192 / 2

Area = 96 square centimeters

Step-by-step explanation:

To find the area of the triangle, we used the Pythagorean theorem to solve for the legs, obtaining lengths of 16 cm and 12 cm. The area is then calculated using the formula for the area of a right triangle (1/2 * base * height), resulting in an area of 96 cm².

We are given a right triangle with a hypotenuse of 20 cm and two legs where one leg (let's call it a) is 4 cm longer than the other leg (let's call it b). Using the Pythagorean theorem, we can express the relationship between the legs and the hypotenuse: a² + b² = 20². We know that a = b + 4, so if we substitute a into the equation, we get:

(b + 4)² + b² = 400

b² + 8b + 16 + b2 = 400

2b² + 8b - 384 = 0

Dividing everything by 2, we get:

b² + 4b - 192 = 0

Using the quadratic formula or factoring, we find that b = 12 (b can't be negative). Consequently, a = 16. The area of the triangle is given by 1/2 * base * height, which is:

Area = 1/2 * a * b

Area = 1/2 * 16 * 12

Area = 1/2 * 192

Area = 96 cm²

0.5 as a percent is 50%

0.5 to a percent value is 50%

3 hours equals 195.

5 hours equals 325

9 hours equals 585

10 hours equals 650

To find this I multiplied the hours by 65 pages.

Hope this helps :)