Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
What does X equal?

Answer:

For the first problem the answer is x=4

The second Problem the answer is no solutions

Step-by-step explanation:

7x−(3x+5)−8=1/2 (8x+20)−7x+5

7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)

7x+−3x+−5+−8=4x+10+−7x+5

(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)

4x+−13=−3x+15

4x−13=−3x+15

Step 2: Add 3x to both sides.

4x−13+3x=−3x+15+3x

7x−13=15

Add 13 to both sides.

7x−13+13=15+13

7x=28 Divide both sides by 7.

x=4

5(3x+4) -2x = 7x -3(-2x+11)​

Simplify both sides of the equation.

5(3x+4)−2x=7x−3(−2x+11)

(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)

15x+20+−2x=7x+6x+−33

(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)

13x+20=13x+−33

13x+20=13x−33

Subtract 13x from both sides.

13x+20−13x=13x−33−13x

20=−33

Step 3: Subtract 20 from both sides.

20−20=−33−20

0=−53

There are no solutions.

Answer:

Step-by-step explanation:

7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

1. Distributive Property

7x - 3x - 5 - 8 = 4x + 20 - 7x + 5

2. Combine like terms

4x -13 = -3x + 25

3. Add 13 on both sides

4x -13 + 13 = -3x + 25 + 13

4x = -3x + 38

4. Add 3x on both sides

4x + 3x = -3x + 3x + 38

7x = 38

5. Divide by 7 on both sides

7x / 7= 38 / 7

x = 5.428571428571429

or

x = 5.4

__________________________________________________________

5(3x+4) -2x = 7x -3(-2x+11)​

1. Distributive Property

15x + 20 - 2x = 7x + 6x - 33

2. Combine like terms

13x + 20 = 13x - 33

3. Subtract 20 on both sides

13x + 20 - 20 = 13x - 33 - 20

13x = 13x - 53

4. Subtract 13x on both sides

13x - 13x = 13x - 13x - 53

0 = -53 ( there is no answer for x)

Hope this helped!!!!

Answer:

1466.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

Step-by-step explanation:

Answer:

can someone give us the answer if its independent or dependent

Step-by-step explanation:

Answer:

32.25 miles in 43mins

45miles in an hour

Step-by-step explanation:

Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles

Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles

Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles

Answer:

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = ({7 \sqrt{2}) }^{2} + ( {7 \sqrt{2} ) }^{2} \\ {c}^{2} = 2(49 \times 2) \\ {c}^{2} = 196 \\ c = \sqrt{196} \\ c = 13 \: units[/tex]

Answer:

$1,849

Step-by-step explanation:

7,396/4=1,849

Answer:

[tex]8 \sqrt{72} = 8 \sqrt{3 \times 3 \times 2 \times 2 \times 2} \\ = 8 \times 3 \times 2 \times \sqrt{2} = 48 \sqrt{2} [/tex]

Step-by-step explanation:

multiply 5x+2y=19 by 3 youll get 15x+6y=57

eliminate y

7x-6y=9

15x+6y=57 +

22x=66

x=3

substitute x to 5x+2y=19

15+2y=19

2y=4

y=2

Answer:

it should take 70 mins to fill all 5

hope this helps!! :)

Step-by-step explanation:

14 x 5 = 70

Answer:

70

Step-by-step explanation:

14 minutes = 1 cavity

x minutes = 5 cavities

70= x

Answer:

tricky picky question pal,

Step-by-step explanation:

What are the awnswes

Answer:

d > -7.

Step-by-step explanation:

Answer:

70x

Step-by-step explanation:

8x8 = 64x then +6x = 70x

Answer:

[tex]2x(4x+3)[/tex]

Step-by-step explanation:

The first thing to factorising this expression is to find the greatest common factor (GCF). For 8x² and 6x the gcf is 2x. So now we divide the 8x² and 6x by the 2x. Which comes out to 4x and 3, these will be inside the parentheses.

So it'll factorise to [tex]2x(4x+3)[/tex] and remember when we are dividing with exponents we subtract the exponents. So [tex]\frac{8x^2}{2x}[/tex] we will divide the coefficients together that'll be 4 and now for the exponents the 2 on the x² minus the 1 on the x will equal 1 so it'll be just x we don't place a one or anything.

[tex]1\frac{1}{9}[/tex]

Answer:

8f - 8d + 2e

Step-by-step explanation:

8f-12d+4d+2e = 8f - 8d + 2e

Answer:

−8d+8f+5.436564

Step-by-step explanation:

Let's simplify step-by-step.

4(2f−3d)+2(2d+2.718282)

Distribute:

=(4)(2f)+(4)(−3d)+(2)(2d)+(2)(2.718282)

=8f+−12d+4d+5.436564

Combine Like Terms:

=8f+−12d+4d+5.436564

=(−12d+4d)+(8f)+(5.436564)

=−8d+8f+5.436564

Answer:

=−8d+8f+5.436564

Answer:

a

Step-by-step explanation:

Answer:

wish i could help have a gret day

Step-by-step explanation:

Answer:

43-7=36

Number of children in the group=36/2

=18children are there in the group

Step-by-step explanation:

Answer:

5.8 meters

Step-by-step explanation:

The formula to calculate this is given as:

Height/ Shadow

Shadow of the pole = 25.5 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

25.5 m - 15.4 m = 10.1 m

Tim's height = 2.3 m

Hence:

x/25.5 = 2.3/10.1

Cross Multiply

10.1x = 25.5 × 2.3

x = 25.5 × 2.3/10.1

x = 5.8069306931 m

Approximately = 5.8m

Hence, the height of the flagpole = 5.8m

Answer: B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is

[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )

14x = 98 ( divide both sides by 14 )

x = 7 → C

Answer:

Slope of the graph is steeper.

The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Step-by-step explanation:

First we will find slope of the graph.

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We need to find two points from the graph to find the slope.

Let we take point 1 (-2,1) and point 2 (1,2)

We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]

Now finding slope of the graph

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]

So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Now, we will find slope of Linear function.

It has x-intercept of 1 and y-intercept of -2

x-intercept means y=0

So, the point will be: (1,0)

y-intercept means x=0

So, the point will be: (0,-2)

We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]

So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]

Now, we need to find which of the slope is steeper.

The larger the value of slope, more steeper it is:

Now, comparing the slopes:

The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]

We know that, [tex]\frac{1}{3}>-2[/tex]

So, Slope of the graph is steeper.

The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Answer:

p=23

Step-by-step explanation:

Answer:

P=23

Step-by-step explanation:

38-15=23

p=23

Hope this helps

Have a great day!

Answer:

A: $6

B: $2.01

C: $0

D: $4.50 or $7.50

E: 0 ≤ x ≥ 10

F: The more expensive you make the toy then that will mean that less people will want to buy it for its high price.

Step-by-step explanation:

{Data Expunged}

Answer:

slope= ( 5,1 ) Y-intercept= ( 0,-7 )

Step-by-step explanation:

Answer:

hypotenuse = 4.24

Step-by-step explanation:

sin θ = opposite / hypotenuse

sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

hypotenuse = 4.24

Answer:

its 8

Step-by-step explanation:

Answer:

nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh

Step-by-step explanation:

Answer:

its 373248

Step-by-step explanation:

I got this by 2squared 9 and 3squared 6

Answer:

Point D     :D

Step-by-step explanation:

Answer:

(x+5) (x-3)

Step-by-step explanation:

5 times -3= -15

5 + -3 = 2

Answer:

-140C

Step-by-step explanation:

∆T = T2-T1

∆T = -50-90= -140C

Answer:

39.5 [tex]ft^{2}[/tex]

Step-by-step explanation:

We need to take this shape by shape

Top triangle

a = b*h/2

a = 3*2/2

a = 6/2

a = 3

__________________________________________________________

Bottom triangle:

a = b*h/2

a = 3*3/2

a = 9/2

a = 4.5

__________________________________________________________

Rectangle:

a = b*h

a = 8*4

a = 32

__________________________________________________________

Now add them all up

3 + 4.5 + 32 = 39.5

The area of the shape is 39.5 [tex]ft^{2}[/tex]

Hope this helped!