Solve the inequality 8(x + 1) > 7(x + 2)

Answer:

x = 17, y = 9

or as an ordered pair, (17, 9).

The equations are consistent.

Step-by-step explanation:

2x - 3y = 7

x - 2y  = -1        Multiply this equation by -2:

-2x + 4y = 2     Add this to the first equation:

y = 9.

Plug y = 9 into the second equation:

x - 2*9 = -1

x = -1 + 18 = 17.

Answer:

m= 1/4

Step-by-step explanation:

tried helping I don't know if this is the right way to do it for you

Answer:

B.

Step-by-step explanation:

First find the other two angles in the triangle using supplementary angles.

They are 90° and 55°

Now just subtract them from 180

180 - 90 - 55 = 35°

Answer & Step-by-step explanation:

For this problem, all we have to do is add f(x) to g(x). So, we will add (x -2) to (x² + x - 6).

(x - 2) + (x² + x - 6)

Combine like terms.

x² + (x + x) + (-2 + (-6))

x² + 2x - 8

So, (f + g)(x) is equal to x² + 2x - 8

Answer:

All whole numbers are integer

All natural numbers are rational numbers

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

edge 2021 :)

Answer:

[tex] \frac{63}{65} [/tex]

Step-by-step explanation:

Please see the attached picture.

Let's find the value of the opposite side, XZ.

Applying Pythagoras' Theorem,

(XZ)² +(XY)²= (ZY)²

(XZ)² +16²= 65²

(XZ)²= 4225 -256 (bring constant to 1 side)

(XZ)²= 3969 (simplify)

Square root both sides,

XZ= [tex] \sqrt{3969} [/tex]

XZ= 63 (simplify)

sinY

= XZ/ ZY

[tex] = \frac{63}{65} [/tex]

Answer:

63/65

Step-by-step explanation:

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4(2x - 3) = 6x + 2

Expand it:

8x - 12 = 6x + 2

+ 12 to both sides

8x = 6x + 14

- 6x from both sides

2x = 14

Divide both sides by  2:

x = 7

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Answer:

Step-by-step explanation:

x= -b/2a = -64/2(-16) = 2

showing that the object will reach its highest point at 2 seconds

Answer:

1700

Step-by-step explanation:

Answer:

the LCM for 5 and 6 is 30

the LCM for 4 and 8 is 8

Answer:

E. x = 4

F. x = -2

Step-by-step explanation:

Asymptotes occur when you have an undefined (a divide by 0 error). So x in the denominator can't equal zero. The 2 values that make the denominator zero are 4 and -2.

Answer:

a) 1,14%

b) 317%

Step-by-step explanation

J = C . i . t

540 - 500 = 500 . i . 7

40 = 500 . 7 . i

i = 0,0114 = 1,14% within day

-------------------------------------------

J = 500 . 0,0114 . 365 = 2085,71

2085,71 - 500 = 500 . i . 1

1585,71 = 500 . i

i = 3,17 = 317% annual

Answer:

Correct option: C

Step-by-step explanation:

To solve the equation m*5 - 8 = -6, we can use the following steps:

step1: sum 8 in both sides, to make m*5 be the only term in the left side.

m*5 = 2

step2: divide both sides by 5, then we will have 'm' isolated in the left side.

m = 2/5

So the operations we could use is: add 8 to each side and then divide each side by 5.

Correct option: C

Answer:

between step 1 and 2 he left off the 5

Answer:

$12,000,000

Step-by-step explanation:

The maximum will be the vertex and because this is written in vertex form the vertex will be (5, 12) so the maximum income will be 12 million dollars.

Answer:

7.125pounds

Step-by-step explanation:

if a recipe for stew calls for 2 1/2 pounds of meat, 22 ounces of beans, 14 ounces of carrots, and 2 pounds 6 ounces of potatoes, in order to get the weight of the ingredients in the stew in pounds, we will convert all the units to pounds first and then add them together.

On conversion;

since 1 ounce = 0.0625pounds

Weight of beans in pounds = 22 * 0.0625 = 1.375pounds

Weight of meats = 2 1/2 pounds

Weight of carrots in pounds = 14*0.0625 = 0.875pounds

Weight of potatoes in pounds = 2+(6*0.0625) = 2+0.375 = 2.375pounds

weight of the ingredients in the stew in pounds = 1.375+2.5+0.875+2.375

weight of the ingredients in the stew in pounds = 7.125pounds

Answer:

x = 27

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(x+48)* 48 = 60^2

(x+48)* 48 = 3600

Divide each side by 48

x+48 =75

Subtract 48 from each side

x = 75-48

x=27

Answer:

The value of the given expression is 27.1

Step-by-step explanation:

We are given an expression of two variable x and y.

We need to find the value of expression at x = 3 and y = 4

So first put x = 3 and y = 4 into expression and simplify

1/2 x 3 (3) + 3.4 x 4

➡️ 1/2 x 27 + 13.6

➡️ 27/2 + 13.6

➡️ 13.5 + 13.6

Now, add both of the numbers together. ( as an addition problem)

Therefore, when you ad the 2 together, you get the total of 27.1

Answer:

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains is -18.72% < (p₁ - p₂) < 4.72%

Step-by-step explanation:

The given parameters are;

Sample size of the women sample, n₁ = 200

Percentage of the women that prefer beach, p₁ = 45%, [tex]\hat p_1[/tex] = 0.45

Sample size of the men sample n₂ = 300

Percentage of the men that prefer beach, p₂ = 52%, [tex]\hat p_2[/tex] = 0.52

Confidence level of the confidence interval = 99%

α = 1 - 0.99 = 0.01, therefore, α/2 = 0.005

The equation for the confidence interval for the difference between two proportions is given as follows;

[tex]\left (\hat{p}_{1} - \hat{p}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{\hat{p}_{1}(1-\hat{p}_{1})}{n_{1}}+\dfrac{\hat{p}_{2}(1-\hat{p}_{2})}{n_{2}}}[/tex]

[tex]z_{\alpha /2}[/tex] = ±2.57 from the z score tables

Plugging in the vales, we have;

[tex]\left (0.45 - 0.52 \right )\pm 2.57\sqrt{\dfrac{0.45(1-0.45)}{200}+\dfrac{0.52(1-0.52)}{300}}[/tex]

Which gives;

-0.1872 < [tex](\hat p_1 - \hat p_2)[/tex] < 0.0472

The 99% confidence interval estimate for the difference between the percentage of women and men who prefer the beach over the mountains = -18.72% < (p₁ - p₂) < 4.72%.

Answer:

4

Step-by-step explanation:

the answer is 4 so d on edge .

Based on the information given regarding the graph, it should be noted that the correct option is graph 4.

It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.

From the information given, the system of inequalities and its graph is given is y ≤ –0.75x y ≤ 3x – 2 and the first line has a negative slope and goes through (negative 8, 6) and (0, 0).

Therefore, the section of the graph where the actual solution to the system lie is in graph 4.

Learn more about graphs on;

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Answer: first one is A, Second is c

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

y=5x

.-.-.-.

jhvghcfghvbkhhx

Answer:

D

Step-by-step explanation:

You find the slope by doing [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

The slope is 5

Answer:

[tex]f(n)=f(n-1)+22[/tex].

Step-by-step explanation:

Note: In the given function it should be (n-1) instead of (n=1).

Consider the given function is

[tex]f(n)=-11+22(n-1)[/tex]

It is the explicit form of an A.P.

For [tex]n=1[/tex],

[tex]f(1)=-11+22(1-1)=-11+0=-11[/tex]

For [tex]n=2[/tex],

[tex]f(2)=-11+22(2-1)=-11+22=11[/tex]

Common difference is  

[tex]d=a_2-a_1=11-(-11)=11+11=22[/tex]

The recursive formula of an A.P. is

[tex]f(n)=f(n-1)+d[/tex]

Substitute [tex]d=22[/tex] in the above formula.

[tex]f(n)=f(n-1)+(22)[/tex]

[tex]f(n)=f(n-1)+22[/tex]

Therefore, required recursive formula is [tex]f(n)=f(n-1)+22[/tex].

Answer:

Step-by-step explanation:

Let width be x

Let lenght be 25 + x

Total ax = (25+x) * x

Square with 5in long are cut from the four corner formed = 750in

(25+x-10) * (x-10) * 5 = 750

(15+x) (x-10) = 150

15x-150+x^2-10x =150

15x -150-150+x^2-10x+0

x^2+15x-300=0

(ax^2+bx+c=0)

Answer:

$1,352.5

Step-by-step explanation:

A=p(1+r/n)^nt

Where,

P=principal

r=interest rate

n=no of periods

t=time

P=$5,000

r=2%

n=4

t=12

A=5000(1+0.02/4)^4*12

=5000(1+0.005)^48

=5000(1.005)^48

=5000(1.2705)

=$6,352.5

How much more money after 12 years

=$6,352.5-$5000

=$1,352.5

Answer: No, because the line does not touch any points.

Step-by-step explanation:

A line of best fit should pass through most if not all of the points on a graph. If it does not, it can't be considered a line of best fit.

Answer:

Yes, because it passes through the center of the data points.

Step-by-step explanation :

Its D because, the line of best fit does not have to touch any points, it has to be the closest possible to the points.

Answer: (4-4i)+(3-2i) = 7-6i

Step-by-step explanation:

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.

Answer:

596

Step-by-step explanation:

I typed in 656 as the other person it was but it wasn't

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The nth term of an arithmetic series is given as:

a(n) = a(1) + (n - 1)d

The 64th term of the arithmetic sequence is 596.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

common difference = 2

The first term = 2.

We have,

29, 38, 47,.....

First term = 29

a(1) = 29

Common difference:

= 38 - 29

= 9

Now,

The nth term of an arithmetic series is given as:

a(n) = a(1) + (n - 1)d

The value of the 64th term in the arithmetic sequence.

a(64) = a(1) + (64 - ) x 9

a(64) = 29 + 63 x 9

a(64) = 29 + 567

a(64) = 596

Thus,

The 64th term of the arithmetic sequence is 596.

Learn more about arithmetic sequence here:

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Answer:

The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total.

Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12 (Correct Answer)

The two events are independent from one another.