I need help with Graphing x < 2. The possible answers are below. Thank you in advance for the help!

Answer:

4x² - x - 1

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) , thus

f(x) - g(x)

= 4x² - (x + 1) ← distribute parenthesis by - 1

= 4x² - x - 1

Answer:

Angles 1 and 2 are supplementary.

Step-by-step explanation:

<BAC is equal to <FGE, because BC and DE are parallel. So <DGF would be 180° minus angle 1. So, they are supplementary.

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Answer:

588 units^2

Step-by-step explanation:

To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.

This is 3.5 multiplied by their original measures:

Length = 3.5 x 8 = 28

Width = 3.5 x 6 = 21

Now, area =. LxW = 588 units^2

Hope this helps

Answer:

588 units squared

Step-by-step explanation:

We have a rectangle that has dimensions 8 units by 6 units.

From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:

new length = 8 * 3.5 = 28 units

new width = 6 * 3.5 = 21 units

Given this, we can now calculate the area.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width.

Here, the length is l = 28 and the width is w = 21. Plug these in:

A = lw

A = 28 * 21 = 588

The answer is thus 588 units squared.

~ an aesthetics lover

Answer:

[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]

So we can say that

[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]

and we can notice that

[tex]a^2+b^2=(a+b)^2-2ab[/tex] so

[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]

it comes

[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]

multiply by 3

[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]

Answer: 3 [tex]\geq[/tex] x

Step-by-step explanation:

[tex]2(4+2x)\geq 5x+5\\\\Distribute\\\\8+4x\geq 5x+5\\\\Subtract\\\\8\geq x+5\\\\Subtract\\\\3\geq x[/tex]

Hope it helps <3

Answer:

x≤3

Step-by-step explanation:

2(4+2x)≥5x+5

Distribute.

2*4+2*2x≥5x+5

8+4x≥5x+5

Subtract 8 from both sides.

8-8+4x≥5x+5-8

4x≥5x-3

Subtract 5x from both sides.

4x-5x≥5x-5x-3

-x≥-3

Divide both sides by -1.

Note that when you divide an inequality by a negative number, you must flip the sign.

x≤3

Answer:

-0.5

-0.3

0.5

0.3

0.44

1.2

1.5

1.8

1.9

-0.9999888575

-0.344

0.5533

0.232

0.974

0.777

1.2222

Answer:

0

Step-by-step explanation:

It is a horizontal line.

Answer:

undefined

Step-by-step explanation:

The slope of a line is found by

m = (y2-y1)/(x2-x1)

   = (-9 -10)/(-9 - -9)

   = -19/ (-9+9)

   = -19/0

We cannot divide by zero so the slope is undefined

Answer:

answer is 1

Step-by-step explanation:

The scale factor of triangle ABC to triangle DEF is 1. Therefore, the correct answer is option D.

In the given triangle ABC, AB=5 units, BC=5 units and AC=5 units and in triangle DEF, DE=5 units, DF=5 units and EF=5 units.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, the scale factor of ABC to DEF is

AB/DE = BC/EF = AC/DF = 5/5 = 1

Therefore, the correct answer is option D.

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Answer:

you are correct

Step-by-step explanation:

since this was a random sampling, there can be no source of bias.

Answer:

  A.  y -9 = 2(x -1)

Step-by-step explanation:

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

You are given m=2 and (h, k) = (1, 9). Putting these values into the form gives ...

  y -9 = 2(x -1)

Answer:

They are parallel

Step-by-step explanation:

You can tell that they are parallel because if you find the slope of it, you can see that they both have a slope of 2.

Hope this is the answer you were looking for. :)

Answer:

17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Side T = t

Side V = 14

Side U = 11

The value of t can be obtained by using cosine rule as show below:

t² = u² + v² – 2uv cosT

t² = 11² + 14² – 2×11×14 cos 87°

t² = 121 + 196 – 308 × Cos 87°

t² = 300.88

Take the square root of both side

t = √300.88

t = 17.3

Therefore, the value of t is 17.3

Answer:

11, 17, and 28.

Step-by-step explanation:

[tex]x, y, z\\[/tex]

Lowest number is [tex]x[/tex]

Median is [tex]y[/tex]

Highest number is [tex]z[/tex]

[tex]x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28[/tex]

The three numbers are 11 , 17 and 24

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = a

Let the second number be = b

Let the third number be = c

And , the lowest number is 11

So , the value of a = 11

The median is 17

So , the value of the middle number b = 17

Now , the range of the three numbers = 13

So , the maximum value - minimum value = 13

Substituting the values in the equation for range , we get

c - a = 13

c - 11 = 13

Adding 11 on both sides , we get

c = 11 + 13

c = 24

Therefore , the value of a = 11 , b = 17 and c = 24

Hence , The three numbers are 11 , 17 and 24

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Answer:

Step-by-step explanation:

3/4 t = 2/3

Multiply both sides of the equation by 4/3

4/3 * 3/4 t = 4/3 * 2/3

Reduce the numbers with G.C.F 4

1/3 * 3t = 4/3 * 2/3

Reduce the numbers with G.C.F 3

t = 4/3 * 2/3

Multiply the fractions

t = 8/9

Hope this helps...

Good luck on your assignment...

Answer:

[tex]t= \frac{8}{9} \\ [/tex]

Step-by-step explanation:

[tex]3/4t=2/3 \\ \frac{3}{4} t = \frac{2}{3} \\ cross - multiply \\ 3t \times 3 = 4 \times 2[/tex]

[tex]9t = 8 \\ divide \: both \: sides \\ of \: the \: equation \: by \: 9 \\ \frac{9t}{9} = \frac{8}{9} [/tex]

[tex]t = \frac{8}{9} [/tex]

[tex]

5-6x=8x+17 \\

-14x=12\implies x=-\frac{6}{7}

[/tex]

Hope this helps.

Answer: -6/7

Step-by-step explanation: 5 - 6x = 8x + 17

                                             5 + - 6x = 8x + 17

                                            -6x + 5 = 8x + 17

                                            -6x + 5 - 8x = 8x + 17 - 8x

                                            -14x + 5 = 17

                                            -14x + 5 - 5 = 17 - 5

                                           -14x = 12

                                            -14x/-14 = 12/-14

                                             x = -6/7

Answer:

-721 is greater than -723.

Step-by-step explanation:

Answer:

x < - 721

Step-by-step explanation:

x < - 721 is the one according to the pictured line

Answer: the mossing angle is 57° and the missing sides are 8.8 and 10.1

Answer:

44664.59503

Step-by-step explanation:

Hello,

In this question, you're asked to find the radical of a number. However in mathematics, the radical of a number simply means "√" and not directly square root of that number, its could be the cube root "³√" or even the fourth root "⁴√".

In this case, we're asked to find the 3 radical of p/q which means 3√(p/q)

P = 2.78×10¹¹

Q = 3.12×10⁻³

p / q = 2.78×10¹¹ / 3.12×10⁻³

p / q = 8.91×10¹³

The 3 radical = 3√(8.91×10¹³)

3√(p/q) = 44664.59503

Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

Answer:

0.7

if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root

Hope this helps

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

0.49 = 49/100

√(49/100)

√49/√100

7/10

= 0.7

Answer:  B) y = 2 · 3ˣ

Step-by-step explanation:

We can see that (2, 18) is a point on the graph.

Plug it into the equations to see which one make a true statement.

        A) y = 1 · 3ˣ

            18 = 1 · 3²

            18 = 1 · 9

             18 ≠ 9

       B) y = 2 · 3ˣ

          18 = 2 · 3²

           18 = 2 · 9

           18 = 18             This works!

       C) y = 3 · 2ˣ

          18 = 3 · 2²

           18 = 3 · 4

           18 ≠ 12

       D) y = 4 · 3ˣ

          18 = 4 · 3²

           18 = 4 · 9

           18 ≠ 36

Answer:

x < 2

Step-by-step explanation:

The indicated part is left from point 2.

You see an open circle at point (2,0) which means you should exclude the point x = 2 in the inequation.

Now you have enough info to get the right inequality:

x < 2

Answer:

55, Acute angled scalene triangle

90, Right angled scalene triangle

105, Obtuse angled scalene triangle

Step-by-step explanation:

Let us learn the property of a triangle.

Let a triangle be [tex]\triangle ABC[/tex].

Sum of all the three internal angles of a triangle is always equal to [tex]180^\circ[/tex].

OR

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]

Given that triangles have 2 angles. Let us suppose, the third angle be [tex]x^\circ[/tex]

1. Triangle 1: two angles are [tex]50^\circ, 75^\circ[/tex]

[tex]\therefore 50^\circ+75^\circ+x=180^\circ\\\Rightarrow 125+x=180^\circ\\\Rightarrow x=55^\circ[/tex]

All the angles are less than 90 and no two angles are equal so, it is acute angle scalene triangle. (No sides equal)

2. Triangle 1: two angles are [tex]60^\circ, 30^\circ[/tex]

[tex]\therefore 60^\circ+30^\circ+x=180^\circ\\\Rightarrow 90+x=180^\circ\\\Rightarrow x=90^\circ[/tex]

One angle is 90 and not two angles are equal so, right angled scalene triangle.(No sides equal)

3. Triangle 1: two angles are [tex]30^\circ, 45^\circ[/tex]

[tex]\therefore 30^\circ+45^\circ+x=180^\circ\\\Rightarrow 75+x=180^\circ\\\Rightarrow x=105^\circ[/tex]

One angle is more than 90 and not two angles are equal so, obtuse angled scalene triangle.(No sides equal)

So, the answers are:

55, Acute angled scalene triangle

90, Right angled scalene triangle

105, Obtuse angled scalene triangle

Answer:

(1) For x = –12, g (x) = -9

   For x = –9, g (x) = -3

   For x = –6, g (x) = 3

   For x = –3, g (x) = 9

(2) The principal amount of money is $80.

Step-by-step explanation:

(1)

The expression of g (x) is,

[tex]g(x)=2x+15[/tex]

The complete table is:

x                    g (x)

-15        [tex]2(-15)+15=-15[/tex]

-12        [tex]2(-12)+15=-9[/tex]

-9         [tex]2(-9)+15=-3[/tex]

-6         [tex]2(-6)+15=3[/tex]

-3         [tex]2(-3)+15=9[/tex]

0         [tex]2(0)+15=15[/tex]

(2)

The formula for simple interest is:

[tex]I=P\times r\times t[/tex]

Given:

I = $40

r = 10%

t = 5 years.

Compute the value of P as follows:

[tex]I=P\times r\times t[/tex]

[tex]P=\frac{I}{r\times t}[/tex]

   [tex]=\frac{40}{0.10\times 5}\\\\=80[/tex]

Thus, the principal amount of money is $80.

Answer:

80

Step-by-step explanation:

Answer:

1.  A. No

2. A. Yes

Step-by-step explanation:

1. B.   Because the numbers to the left of 7 are smaller than the numbers to the right of 7 on the number line.

2. B. Because to the right side has more numbers than the left side so amber is correct

Answer:

324.5m^2

Step-by-step explanation:

To find the area of the composite shape, divide the shape into 3 known shapes and calculate their areas.

SO, here we divide the shape into 2 triangles and 1 rectangle.

Area of rectangle = 15 x 8 = 120m^2

Area of triangle 1 = 1/2 x 7 x 15 = 52.5m^2

Area of triangle 2 = 1/2 x 9 x 8 = 4 x 9 = 32cm^2

Now, the sum of these areas = area of composite shape = 32 + 52.5 + 120 = 204.5m^2

Hope this helps.

Please mark brainiest

Good Luck

Answer: 52.5 + 36 + 120 = 208.5

208.5 m is your answer.

Step-by-step explanation: To come to this, first you have to break the composite shape into the three different shapes that you see. 2 rectangles and a triangle. From there, you simply solve the area for each individual shape and then add them together as shown in the answer.

Answer:

Ray WV and Ray WX.

Step-by-step explanation:

A ray is a line that has a fixed starting point, but no end points. It extends infinitely. You usually list points based on the way it is facing.

Hope this helps!

Answer: Ray VW and Ray XW

Step-by-step explanation:

The points V and W have a distance between each other, so that is a line.

The points X and W have a distance between each other, so that is a line.

Since W is the vertex, I’d put it as the 2nd letter in each ray.

The ray sign is ==>

Answer:

Step-by-step explanation:

8c2×6c2=((8×7)/2)×((6×5)/2)=28×15=420

Answer:

i believe it would be the first and second options

Step-by-step explanation:

the planes RUV and RST touch at line RU

the planes RSV and RUV touch at line RV