PLEASE HELP ASAP!!
If f(x) = 2x+3 and g(x) = x^2+x/2 - 7 then find (f+g)(x)

Answer:

Step-by-step explanation:

[tex]4(5x+7)/2+5x\\\\\frac{20x+28}{2} +5x\\Simplify\\ 10x +14+5x\\10x+5x+14\\15x+14[/tex]

Answer:

∠JKL = 38°

Step-by-step explanation:

PQRS, JQK and LRK are straight lines

Let's take the straight lines in the diagrams one after the other to find what they consist.

The related diagram can be found at brainly (question ID: 18713345)

Find attached the diagram used for solving the question.

For straight line PQRS,

2x°+y°+x°+2y° = 180°

(Sum of angles on a Straight line = 180°)

Collect like terms

3x° + 3y° = 180°

Also straight line PQRS = straight line PQR + straight line SRQ

For straight line PQR,

2y + x + ∠RQM = 180° ....equation 1

For straight line SRQ,

2x + y + ∠MRQ = 180° ....equation 2

Straight line PQRS = addition of equation 1 and 2

By collecting like times

3x +3y + ∠RQM + ∠MRQ = 360°....equation 3

Given ∠QMR = 33°

∠RQM + ∠MRQ + ∠QMR = 180° (sum of angles in a triangle)

∠RQM + ∠MRQ + 33° = 180°

∠RQM + ∠MRQ = 180-33

∠RQM + ∠MRQ = 147° ...equation 4

Insert equation 4 in 3

3x° +3y° + 147° = 360°

3x +3y = 360 - 147

3x +3y = 213

3(x+y) = 3(71)

x+y = 71°

∠JQP = ∠RQK = 2y° (vertical angles are equal)

∠LRS = ∠QRK = 2x° (vertical angles are equal)

∠QRK + ∠RQK + ∠QKR = 180° (sum of angles in a triangle)

2x+2y + ∠QKR = 180

2(x+y) + ∠QKR = 180

2(71) + ∠QKR = 180

142 + ∠QKR = 180

∠QKR = 180 - 142

∠QKR = 38°

∠JKL = ∠QKR = 38°

Answer:

∠JKL = 38°

Step-by-step explanation:

I did the question in class today!

Answer:

4 : 1 or 4 times

Step-by-step explanation:

V of sphere is

V = 4/3 π r³

then we can compare both of them dirextly

Vs : Vhs

4/3 π r³ : ½ (4/3 π (2r)³)

4/3 π r³ : ½ * 4/3 π 8r³

1 : ½ * 8

1 : 4

Vhs : Vs = 4 : 1

so the volume of hemisphere is 4 times bigger than the sphere.

Answer:

It is greater than the volume of the sphere.

Step-by-step explanation:

imagine math :D

Answer:

In 2013 there were approximately 2.2 million cars for sale.

Step-by-step explanation:

Since the number of cars is decreasing by 23% per year, it is a decay model. This types of decay can be expressed in the following expression:

[tex]cars(x) = cars(2007)*(1 - 0.23)^{x - 2007}[/tex]

Where x is the year, cars(2007) is the number of cars in 2007. Applying this data we have:

[tex]cars(x) = 8.14*(0.77)^{x - 2007}[/tex]

If we want to know the number of cars in 2013, we need to apply that value to x and solve the expression.

[tex]cars(2013) = 8.14*(0.77)^{2013 - 2007}\\cars(2013) = 8.14*(0.77)^{5} = 2.20332[/tex]

In 2013 there were approximately 2.2 million cars for sale.

Answer:

14,104 centimeters

Step-by-step explanation:

This equation is asking for the total height of the wall in centimeters. Given that it gives you both sections of the wall, we will want to add them together to find our total.

5,224 + 8,880 = 14,104

Answer:

Write 21 in the soup column and 25 in the peanut butter column.

Explanation:

The ratio of cans of soup to jars of peanut butter was 7:5

If the jars of peanut butter were 15, then the cans of soup would be (7/5 × 15) = 21

If the cans of soup were 35, then the jars of peanut butter would be (5/7 × 35) = 25

Answer:

The intial value is 1.25

Step-by-step explanation:

Answer: 24 square units

Step-by-step explanation:

The Area of a trapezoid is:

1/2 (a + b) h

Where ;

a = Length of base 1

b = length of base 2

h = height of trapezium

From the diagram attached :

a = Length of BC =(-1 to 3) =4units

b = length of AD =(-3 to 5) = 8 units

h = (-2 to 2) = 4 units

Plugging the values :

Area = 1/2 ((4 + 8)2)

Area = 0.5 × (12) × 4 = 12

Area = 6 × 4 = 24square units

Answer:

The answer is 22 degrees :)

Step-by-step explanation:

So you know that altogether the right angle forms 90 degrees,

if angles <DAC are 68 degrees you would subtract 90 degrees from 68 degrees because you already have the angle measure for i side now you subtract the total angle from the angle measure you know.

90-68=22 degrees

your answer would be 22 degress :)

Answer:

7 km

Step-by-step explanation:

2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.

Answer: 7 km

Step-by-step explanation:

In 1 hour, he did 3 km

In 2 hours, he will do 6 km

20 minutes = 20/60 = 1/3

In 20 minutes, he will do 1/3 x 3 = 1 km

So total distance travelled = 7 km

Answer: y = -3x -3

Step-by-step explanation:

y = mx + b

3x + y = -3

y = -3x -3

Answer:

slope intercept form: y=mx+c

*m = gradient

*c = y-intercept

3x + y = -3

y = -3x - 3

Answer:

35.7 km and 248.3 °

Step-by-step explanation:

I will attach the diagram to an image to make it easier to understand.

We will use the formula corresponding to the law of cosine

y² = 42² + 28² - (2 * 42 * 25 * cos 58 °)

y² = 2389 - 1112.83 = 1276.17

y = √1276.17

y = 35.72 km

Now, to calculate the surveyor's bearing from her base camp we must use the sine law:

[(Sin 58 °) / y] = [(Sin A) / 42]

Without A = (42 * without 58 °) /35.72

A = sin⁻¹ (0.9971)

A = 85.7 °

Bearing of the surveyor from the base camp = 270 ° - (85.7 ° - 64 °) = 248.3 °

Answer:

All

Step-by-step explanation:

Whole numbers are numbers 0 to infinity.

Natural numbers are numbers 1 to infinity.

So, your answer is all.

Answer:

( 2,3 )

x =2 , y = 3

Step-by-step explanation:

In elimination method of solving linear equation, steps are involved to eliminate one of the variables so that value of other can be deduced.

In this method we either subtract or add one of the variable which has the same coefficient in the both of the equation, so that it can be removed from equation.

___________________________________________________

Given system of linear equation

3x − 2y = 0    (1)

2x + y = 7    (2)

Let eliminate y to find x

as we can see equation has 1 as coefficient for y but in equation 2 y has coefficient as 1.

In order to make coefficient of y same as 2, we multiply LHS and RHS of equation 2 with 2.

( 2x + y )*2= 7 *2

=>2x *2+ y*2= 7 *2

=> 4x + 2y = 14    let it be equation 3

Adding equation 1 and 3

 3x − 2y = 0  

+4x  + 2y = 14

_____________________________  -2 y + 2y = 0 (y gets eliminated)

7x = 14

=> x = 14/7 = 2

Thus, x = 2

using x = 2 in 2x + y = 2

2*2 + y= 7

=> 4 + y = 7

=> y = 7 - 4 = 3

\

Thus, The solution to the system is ( 2,3 ).

Answer:

Here are the steps

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

Answer:  C) CBA ≅ LMN

Step-by-step explanation:

Match up the congruent angles:

∠C = 35°, ∠L = 90° - 55° = 35°     --> ∠C ≡ ∠L

∠B = 90°, ∠M = 90°                     -->  ∠B ≡ ∠M

∠A = 90° - 35° = 55°, ∠N = 55°    --> ∠A ≡ ∠N

The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).

ΔABC ≅ ΔNML

ΔBCA ≅ ΔMLN

ΔCAB ≅ ΔLNM

ΔCBA ≅ ΔLMN

ΔACB ≅ ΔNLM

ΔBAC ≅ΔMNL

Any of these similarity statements can be used!

Answer: x = - 10

Step-by-step explanation:

a) Linear Pair: 138 + ∠a = 180°     --> ∠a = 42°

b) Triangle Sum Theorem: ∠a + 2∠b = 180°   --> ∠b = 69°

c) Vertical Angles Theorem: ∠b = ∠c     --> ∠c = 69°

d) Congruent sides implies congruent angles: ∠c = ∠d   --> ∠d = 69°

∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°

                                            69° + 69° + ∠2 = 180°

                                                               ∠2 = 42

x) m∠2 = 42

  x + 52 = 42

  x          = -10

Answer:

72 formas

Step-by-step explanation:

Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:

5 * 4 * 3 * 2 * 1 = 120

Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.

Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:

4 * 3 * 2 * 1 = 24

Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.

Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.

Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.

Answer:

Step-by-step explanation:

If it was like....[tex]\frac{a^{5}}{a^{3}}[/tex]

then you subtract 5 minus 3 to be left with a^2 on the numerator

That would be how you would take it away.

Answer:

Step-by-step explanation:

We need to know how to deal with absolute values to solve this. Remember that absolute value is a distance measure, not a counting number. The absolute value is the distance that 2 numbers are away from a specific number on the number line; the distance from the number will be the same distance going right and left of the number. For example, if we are looking for the numbers that are 3 units from 0 on a number line, the 2 numbers that are 3 units away are 3 and -3.

We will simplify our absolute value equation a bit first by dividing away the 2 out front. It is very important that you realize/remember that you cannot distribute into absolute value signs the way you would parenthesis!! Dividing away the 2 gives us

| x + 5.3 | = 2.1

In words, this problem is asking us for the 2 values that are 2.1 units from 5.3 on a number line. Hence, when we remove the absolute value signs, we set the equation equal to both 2.1 and -2.1 because we want the values 2.1 units to the right AND left of 5.3:

x + 5.3 = 2.1   or   x + 5.3 = -2.1 and we solve both:

for the first one, x = -3.2 and for the second one, x = -7.4.  Your option is the third one: "x can equal -3.2 or -7.4".

Answer:

C

Step-by-step explanation: i was too lazy to read all of that and guessed and i was right lol

Answer:

-34

Step-by-step explanation:

2(4(-2) - 5) -6 + (-2)

= 2 (-8 - 5) - 6 - 2

-8 - 5

= (2)(-13) - 6 - 2

= -26 - 6 - 2

+6 to ( -6 ) and ( -26 )

= -32 - 2

= -34

Answer:

3x+13

Step-by-step explanation:

Perimeter of square = 4 * length

Length = Perimeter/4

Length = (12x + 52)/4

Length = 3x+13

Answer:

RT

Step-by-step explanation:

The diameter goes from one side of the circle to the other side passing through the center

The only diameter given is RT

Answer:

answer C

Step-by-step explanation:

[tex]3x^2-4x-8 + (6x^2+2x-3) = 3x^2-4x-8+6x^2+2x-3=9x^2-2x-11[/tex]

so the correct answer is the C

hope this helps

Answer:

C.

Step-by-step explanation:

= 3x²-4x-8+6x²+2x-3

= 3x²+6x²-4x+2x-8-3

= 9x²-2x-11

Answer:

D

Step-by-step explanation:

The difference in the x is 6

The difference in the y is -4

-4/6 = -2/3

Answer:

-2/3

Step-by-step explanation:

The slope of a line when given two points is found by

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

  = (-1 -3)/(2 - -4)

   = (-4)/(2+4)

   = -4/6

-2/3

Answer:

Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Putting the values:

[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]

So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Answer:

answer is B    9 root 2 cm

Step-by-step explanation:

got it right on edg 2020-2021

========================================================

Explanation:

For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).

The predicted y value is found by plugging x = 3 into the line of best fit equation

y = 5x-2.5

y = 5(3)-2.5

y = 12.5

The residual is the difference between the two y values

e = residual

e = (observed y value) - (predicted y value)

e = 6 - 12.5

e = -6.5

The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.

Answer:

Fraction = [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Total Marks = 72

Obtained Marks = 63

Fraction = [tex]\frac{Obtained Marks}{Total Marks}[/tex]

Fraction = [tex]\frac{63}{72}[/tex]

In simplified form

Fraction = [tex]\frac{7}{8}[/tex]

Answer: A. 397 miles

Step-by-step explanation:

Add the miles traveled on Saturday and Sunday to find out how many miles were traveled in total.

409 + 239 = 648

Now, subtract the total number of miles traveled from the original distance.

1,045 - 648 = 397

Answer:

397

Step-by-step explanation:

To figure this out, you just minus how much they have already traveled by the total distance they need to travel. To solve it, you can add together 409+239=648. Then, you take 648 and minus that from 1045. And so, 1045-648=397

Answer:

16 for Sol A and 24 for Sol B

Step-by-step explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 40        y = 40 - x

.60x + .85y = .75(40)

.60x + .85y = 30      Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 3000

60x + 85(40 - x) = 3000

60x + 3400 - 85x = 3000

-25x = -400

x = 16 ounces

y = 40 - 16

y = 24 ounces          

Answer:36π mm^2

Step-by-step explanation:

Formula for area of a circle =

πr^2

r=6mm

π*6^2

π*36

36π mm^2

Answer:

36 π mm²

Step-by-step explanation:

r= 6 mm

A= πr²

A= π* 6²= 36 π mm²