Use f(x) = 5x+2 and g(x)=x-3
to find (f+g)(x).
A 5x-1
B 5x^2-6
c 6x-1
D 6x+5

Answer:

0

Step-by-step explanation:

37 + (-37)

open the bracket

remember when u multiply the bracket - sign and + sign also gets multiplied and (-) * (+) is( -) . So

37 - 37

0

Answer: 2000.25 ft

Step-by-step explanation:

Given

Height of lighthouse [tex]h=175\ ft[/tex]

Angle of elevation [tex]\theta=5^{\circ}[/tex]

Suppose, you are x feet away from lighthouse

From the figure, we can write

[tex]\Rightarrow \tan 5^{\circ}=\dfrac{175}{x}\\\\\Rightarrow x=\dfrac{175}{\tan 5^{\circ}}\\\\\Rightarrow x=2000.26\ ft[/tex]

Thus, the ship is 2000.25 ft away from the light-house

Answer:

8

Step-by-step explanation:

use trig functions

2 sides and 1 angle given

Sides given

Angle

trig function associated with hyp and opp is sin

sin(x) = opp/hyp

substitute

sin 30˚ = 4/x

solve for x

0.5 = 4/x

0.5x = 4

x = 8

Answer:

Step-by-step explanation:

sin 30° = [tex]\frac{4}{x}[/tex]

x = [tex]\frac{4}{sin 30}[/tex]

x = [tex]\frac{4}{0.5}[/tex]

x = 8

Answer:

B. (2, 6)

Step-by-step explanation:

Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2

Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))

= 8+(-2) = 6

the coordinate => (2, 6)

Answer:

5 inches by 25 inches

Step-by-step explanation:

From the question,

Let the width of the baking tray be(w) = x inches,

Then the lenght of the baking tray(l) = (2x+13) inches

If the area of the baking tray = 115 square inches

Applying,

A = lw................. Equation 1

Therefore,

x(2x+13) = 115

2x²+13x = 115

2x²+13x-115 = 0

Using factorization method to solve the quadratic equation

2x²-10x+23x-115 = 0

(2x²-10x)+(23x-115) = 0

2x(x-5)+23(x-5) = 0

(2x+23)(x-5) = 0

Either

2x+23 = 0

x = -23/2

or

x-5 = 0

x = 5.

dimensions of the tray is

w = 5 inches

l = (2×5)+15 = 10+15 = 25 inches

Hence the dimensions of the baking tray = 5 inches by 25 inches

Answer:

24.

(-24 ÷

[tex] {6}^{2} [/tex]

16+8= 24

Answer:

I can’t post an image, but I’ll explain below

Step-by-step explanation:

Start at a point where the line crosses through a coordinate exactly, like (0,1), and find a second one. Draw a line from the first to the right until it’s over the second point, then go down to the second point. It should look like half of a rectangle. Just follow the lines of the graph :)

Answer:

749 lbs

Step-by-step explanation:

weight of the water in the mattress = volume of the mattress x weight of water

volume of the mattress = volume of a cuboid = length x width x height

6 x 2 x 1 = 12 ft³

weight of the water in the mattress = 12 x 62.4 = 748.8 lbs

749 lbs to the nearest pound

Answer:

no solutions; the lines are parallel

Step-by-step explanation:

The eqautions are in slope intercept form.

The slope of both lines is 4/5; therefor the lines are parallel

The y-intercept of one line is -3 and the other is 1

That means the parallelines never meet.

There are no solutions

There are no solutions for the system of equations y=4/5 x−3

and y=4/5 x+1

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The system of equations,

y=4/5 x−3

y=4/5 x+1

The equations are in slope intercept form.

As we observe the equations, the slopes of two equations is 4/5.

The slope of both lines is 4/5

Therefor the lines are parallel

The y-intercept of one line is -3 and the other is 1

That means the parallel lines never meet. There are no solutions

Hence there are no solutions for the system of equations y=4/5 x−3

and y=4/5 x+1

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Step-by-step explanation:

x+4=12

In this equation, x is a unknown value,

x plus four is twelve.

So, it also represents four more than x is twelve.

Answer:

5x2+20x−15

Step-by-step explanation:

Answer:

Options (2) and (5)

Step-by-step explanation:

Given ratio is a : b and b : c

[tex]\frac{a}{b}=\frac{b}{c}[/tex]

[tex]\frac{b}{a}= \frac{c}{b}[/tex] [Option 2]

[tex]\frac{a}{b}=\frac{b}{c}[/tex]

b × b = a × c

b² = ac

If a = b,

b² = bc

b = c [Option 5]

Therefore, Options (2) and (5) are the correct options.

Answer:

24623.5 cubic cm

Step-by-step explanation:

A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.

This is calculated as:

Let the volume of the dilated prism = x

Hence:

x/148 = (5.5)³

Cross Multiply

x = 148 cm³ × 5.5³

x = 24623.5 cm³

The volume of the dilated prism is 24623.5 cubic cm.

Answer:

16 m^2

Step-by-step explanation:

Area of triangle = (Base * Height) / 2

Area of triangle = ( 8 * 4 ) / 2

Area of triangle = 16

Answer:

24

Step-by-step explanation:

XW=WY=12

If the opposite angle is 30, the hypotenuse is double the small side.

XZ=XW=2·12=24

Answer: [tex]7.81\ km[/tex]

Step-by-step explanation:

Given

Runner A runs towards North at speed of 10 km/h

Runner B runs towards East at speed of 12 km/h

After half hour, they covered a distance of

[tex]\Rightarrow d_a=10\times 0.5\\\Rightarrow d_a=5\ km[/tex]

[tex]\Rightarrow d_b=12\times 0.5\\\Rightarrow d_b=6\ km[/tex]

They are running in perpendicular direction to each other

So, the distance between them is  given by

[tex]\Rightarrow d=\sqrt{d_a^2+d_b^2}\\\Rightarrow d=\sqrt{5^2+6^2}\\\Rightarrow d=\sqrt{61}\\\Rightarrow d=7.81\ km[/tex]

Answer:

c ......................

D. [tex] ({ - 8})^{2} - 9 + ( - 7)[/tex] ✅

Step-by-step explanation:

[tex] {( - 32 \div4 })^{2} - 9 + ( - 7) \\ \\ = ({ - 8})^{2} - 9 +(- 7 )\\ \\=64-9-7\\\\ = 64 - 16 \\ \\ = 48[/tex]

Note:-

[tex]\sf\red{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

y-8x+7=0

Step-by-step explanation:

slope(m)=8

using slope intercept form of equation of staright line we get

y=mx+b

y=8*x+b

y-8x=b ................  eq(i)

since the line include the point (2,9) it satisfies the euation,

here x=2 and y=9

equation: y-8x=b

9-8*2=b

9-16=-b

-7=b

substituting the value of b in eq(i) we get

y-8x=-7

y-8x+7=0   is a required equation of the line.

The distance travelled by the Lucas will be equal to 105 miles.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The average speed is defined as the total distance travelled by train in total time.

Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.

Time = 105 minutes = 105 / 60 = 1.75 hours

The distance travelled by train will be calculated as,

Distance =  Speed x Time

Distance = 60 x 1.75

Therefore, the distance travelled by Lucas will be equal to 105 miles.

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Answer:

SAS

Step-by-step explanation:

SAS (Side-Angle-Side) is a proof of congruence for two triangles. Since C stipulates that [tex]\angle ENM=\angle ZNM[/tex], the two triangles would share two sides and the angle between them, thus being congruent from SAS.

Answer:

i dont know spanish

Step-by-step explanation:

Answer:

1/2 for the red card

1/52 for queen of hearts

1/4 for clubs

3/13

Step-by-step explanation:

the red card is 1/2 because the only other color is black

there is only one queen of hearts

it is one of four possible symbols

because that is the only one left

Answer: need a picture of the traingle but if it's at a 90 degree angle on any sides then yes

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

the lowest point of the box plot is at 1  and the highest is at 19, so by that it can't be A.

The box plot shows 12 being the median so that automatically leaves C but just to make sure the first half would be 6 and half of the last part would be 16 if that makes sense.

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

Answer:

correct option if Option D

Answer:

The answer is B.

Step-by-step explanation:

It can't be A, C, or, D because if the polygons were in a certain position, those transformations wouldn't work.

The definition of a rigid transformation is either a translation, rotation, or reflection. Therefore it must be B.

Sorry about how vague this is. It's hard to explain this without diagrams.

Answer:

Nvm my answer is wrong

An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.