Y₁ = 10x-4, y2 = 6x +17, and y₁ exceeds y₂ by 3.

Answer:

Step-by-step explanation:       18,612,464,000,000 or 1.8612464 × 10^13

The inequality will be given by 0 < x + 5 < 12 or -5 < x < 7 which meant value of number x will lie between -5 and 7.

What are inequalities ?

When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.

It is given that the sum of a number and 5 is between 0 and 12. This can be represented by an inequality.

Let's assume the number is x.

So , the sum of number x and 5 will be :

= x + 5

Also , given that,  this value is between 0 and 12 .

This meant the inequality will be given by :

0 < x + 5 < 12

Let's subtract 5 from every term of inequality.

0 - 5 < x + 5 - 5 < 12 - 5

or

-5 < x < 7

The value of x lies between -5 and 7.

Therefore , the inequality will be given by 0 < x + 5 < 12 or -5 < x < 7 which meant value of number x will lie between -5 and 7.

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The figure 0.12 represents in this context the D. the fraction of the books in the library that are how-to books on electronics.

From the information, three-tenths of the books in the school library are how-to books and 0.2 deal with carpentry and 0.4 deal with electronics.

Therefore, the figure 0.12 represents in this context the fraction of the books in the library that are how-to books on electronics.

This was calculated as:

= 0.4 × 0.3

= 0.12

Therefore, the correct option is D.

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Answer:

-25

Step-by-step explanation:

3(x+7)+4=2x

3x+25=2x

x= -25

Answer:

One train is traveling at 40 mph and the other train is traveling at 50 mph

Step-by-step explanation:

Distance = rate times time

If I add the two rates and times together, I will get the total distance

Train 1

Rate x + 10

Time 3

Train 2

Rate x

Time x

3(x + 10) + 3x = 270  Distribute the 3

3x + 30 + 3x = 270  Combine like terms

6x + 30 = 270  Subtract 30 from both sides of the equation

6x = 240  Divide both sides by 6

x = 40  This is the slower train.  Add 10 for the faster train.

[tex]x - \frac{y}{m} = x \\ - \frac{y}{m} = x - x \\ \frac{ - y}{m} = 0 \\ - y = 0 \\ y = 0[/tex]

5+3+2=10

Answer: 10:3

Answer:

less

Step-by-step explanation:

1 3/4 is equal 1.75 so 1.625 is less than 1 3/4

Answer:

I think it's greater than but it could be less than

Step-by-step explanation:

Answer:

She has completed [tex]\frac{8}{17}[/tex] laps.

She has [tex]\frac{9}{17}[/tex] laps remaining

Hope that helps

answer:

48 miles per hour

Answer:

16,000

Step-by-step explanation:
Because,
I know it :)

Answer:

Step-by-step explanation:

I CHECKED UR OTHER ONE CHECK IT PETER :>

Answer:

Ranked least to greatest:

l 125 l

l -127 l

l -132 l  

(the absolute value of 125, the absolute value of -127, and the absolute value of -132)

Step-by-step explanation:

Absolute value are the bars around a number that essentially is the distance of that number from ZERO. An easy way to visualize this is through a numberline. Therefore, even negative numbers under the absolute value of, become positive since the distance from zero can't be negative.

Looking at the problem, descending means going down in this case it symbolizes the negative.

So putting absolute value bars around each number we know that the absolute value of 125 is 125.. The absolute value of -132 is 132. The absolute value of -127 is 127.

Ordered from least to greatest we get: 125, 127, 132.

hope that helped! please mark brainliest:)

Answer:

100 >/ 18x = ~5 markers

Step-by-step explanation:

The teacher can only hand out 100 markers or less. Not more. We can't get to exactly 100 with an interger as our answer. I got 18x from the fact that there are 18 students. X represents how many markers each one will get. X equals 5.555 repeating, but you can't have a decimal amount of markers, but you can't round up. That would mean that the teacher gave out 108 markers. That's not possible.

The solution to the given equality is of s = 2.

The equation for this problem is given by:

(3 and 1/10) s = 6 and 1/5.

The mixed numbers as decimals are given as follows:

Hence the equation with decimal numbers is given by:

3.1s = 6.2

s = 6.2/3.1

s = 2.

The solution to the given equality is of s = 2.

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The percent increase in temperature between 9:00 am and 4:00 pm is 25%

The first step is calculate the percentage change

= 85-68

= 17

The percent increase can be calculated as follows

= 17/68 × 100

= 0.25 × 100

= 25%

Hence the percent increase is 25%

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Answer:

y = -5x + 16

Step-by-step explanation:

Parallel lines have the same slope.  The slope is -5.  We need to find the y-intercept.  We will use the slope(-5) the x (3) and the y (1) to find this.

y = mx + b  Plug in what we know

1 = -5(3) + b

1 = -15 + b  Add 15 to both sides

16 = b

y = mx + b

y = -5x + 16

**"38;%7$८$83;%$87;$8$8#7#*28$८$$8$-$7!%8%-3८3-2"2

Answer: 8

Step-by-step explanation: 8 minus 3 would be 5, subtracting 10 would then get to -5 (simplified)

Given the radius in the diagram, the area of the circle to the nearest tenth is 116.9m².

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

A = πr²

Where r is radius and π is constant pi.

Given the data in the question;

Plug the given value into the area of circle formula and solve for A.

A = πr²

A = π × 37.21m²

A = 116.9m²

Given the radius in the diagram, the area of the circle to the nearest tenth is 116.9m².

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Answer:

[tex]y = \frac{x}2 + 2.5[/tex]

Step-by-step explanation:

Step 1) Finding the slope
The line is perpendicular to [tex]y = 1 - 2x[/tex], therefore, its slope is equal to the negative invert of [tex]y[/tex]'s slope.

[tex]y[/tex]'s slope is -2 (the coefficient to [tex]x[/tex]), and, therefore, the line's slope is [tex]m = [-(-2)]^{-1} = 2^{-1} = \frac12[/tex]

Step 2) Building the Equation

We can now substitute the slope, along with the given point's coordinates, into the formula [tex]y - y_1 = m(x - x_1)[/tex] :

[tex]y - 3 = \frac12(x - 1)\\\to y - 3 = \frac{x}2 - \frac12\\\to y = \frac{x}2 + 2.5[/tex]

Answer:

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Step-by-step explanation:

Answer:

(-1/2,0)

Step-by-step explanation:

Answer:

D) 3 - (-5) = 8

Step-by-step explanation:

A. [tex]-3 + 5 \to 5 - 3 \to 2[/tex]

B. [tex]-3 - (-5) \to -3 + 5 \to 5 - 3 \to 2[/tex]

C. [tex]3 - 5 \to -2[/tex]

D. [tex]3 - (-5) \to 3 + 5 \to 8[/tex]

Answer:

A wouldn now be at -4, -1

B would be at -1, -1

C would be placed at -1, -5

D would be located at -2, -2

Step-by-step explanation:

Hope it helps!

Answer:

5

Step-by-step explanation:

Factor- 5

[tex]Domain: x - R[/tex]

[tex]Range : y - R[/tex]

[tex]Zeros - 0[/tex]

[tex]Y - intercept \: \: y = 5[/tex]

[tex]Horizontal \: asmptotes \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 5, x > + \infty [/tex]

[tex]Parity : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: The \: function \: is \: even[/tex]

[tex]Monotonicity : \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ( - \infty , \: \infty \: \: ) constant[/tex]

.

.

We use a property from an earlier question of yours [27174924], that

[tex]\displaystyle \int_a^b f(x) \, dx + \int_{f(a)}^{f(b)} f^{-1}(x) \, dx = b\,f(b) - a\, f(a)[/tex]

Note that

[tex]f(x) = \log_2(x^3+1) \implies f^{-1}(x) = \left(2^x - 1\right)^{1/3}[/tex]

[tex]a = 1 \implies f(a) = \log_2(1^3 + 1) = \log_2(2) = 1[/tex]

[tex]b = 2 \implies f(b) = \log_2(2^3 + 1) = \log_2(9)[/tex]

so that the exact value of the integral is

[tex]\displaystyle \int_1^2 \log_2(x^3 + 1) \, dx + \int_1^{\log_2(9)} \left(2^x - 1\right)^{1/3} = 2\log_2(9) - 1[/tex]

Now, observe that

[tex]8 = 2^3 < 9 < 2^{7/2} = 8\sqrt2 \approx11.3 \\\\ \implies 3 < \log_2(9) < \dfrac72 \\\\ \implies 6 < 2\log_2(9) < 7 \\\\ \implies 5 < 2\log_2(9) - 1 < 6[/tex]

so that

[tex]\left\lfloor 2\log_2(9) - 1 \right\rfloor = \boxed{5}[/tex]

Answer:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

Step-by-step explanation:

30 ÷ 60 = .5 mile per minute

the diameter of the wheel is 26 inches

circule perimeter = 2 pi r

r = 1/2 d = 13 inch

circule perimeter = 81.7 inches

half mile = 31680 inch

31680 ÷ 81.7 = 387. 76 revolutions per minute

Answer:

see below

Step-by-step explanation: