3(x−1)≥3x−7 step by step please I can't figure it out.

The linear constraint form of the variables is X1 =< 0.75(X1 + X2 + X3)

The term linear refers the algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Here we have given that x1 must be at most 75% of the blend of x1 , x2 , and x3 ,

Abd here we must have to find the linear constraint of the form of the variables.

While we looking into the given question we have identified the three are three variables are given they are x1, x2 and x3.

And we have also given that x1 must be greater than 75% when we convert this into decimal then we get the value 0.75.

Here the term of blend refers the sum of the terms,

Then the linear constraint form of the variables is written as,

=> X1 =< 0.75 (X1 + X2 + X3)

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Answer:

$95.99

Step-by-step explanation:

The subtotal is [tex]6(1.50)+12(0.85)+2(38.00)=\$95.20[/tex].

Therefore, the total cost is [tex](95.20)(1.00825) \approx \$95.99[/tex].

We get the following answers;

(a) The necessary histogram has been created and is supplied below.

(b) According to the data, it is indeed dangerous to drive close to home. Because 23% and 29% of accidents occur within 1 to 5 miles of home, respectively.

Step 1: in 2001, progressive insurance asked customers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.

Step 2:

Table :

Miles from home          % of accidents      Cumulative

Less than 1                               23                        23

1 to 5                                         29                        52

6 to 10                                       17                         69

11 to 15                                       8                          77

16 to 20                                     6                         83

over 20                                     17                        100

(a) the required histogram is made and attached below.

(b) Yes, the data indicates that driving near home is particularly dangerous. Because, less than , 1 to 5 miles from home 23%, 29% of accidents.

Hence we get the required answers.

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Answer: B

Step-by-step explanation:

The two equations have the same slope, but different points. This means that the lines are parallel to one another and will not intersect.

The answer is B: No solution

Answer: No solution.

Step-by-step explanation: I graphed the two given functions below.  It looks like there is no solution to the given functions.

Hope this helps! :)

Answer:

4

Step-by-step explanation:

Answer:

The rate of change is 4

Step-by-step explanation:

The rate of change is the slope.

Since the equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = 4x-3

The slope is 4 and the y intercept is -3

Answer:

y=25x or y=25x+0

Step-by-step explanation:

Here, we must use one sample z test for the first question.

Since the population standard deviation is known in this instance. According to the new protein powder firm, it takes an average of 7 days to add 10% more muscle, with a population standard variation of 5.5 days.

Here, keep in mind that the t test should be used if the population standard deviations are unknown and the z test should be used if the population standard deviations are known.

The second question requires that we test the hypothesis to determine whether the MoCA test differs between the days before and after several exposures to a new tool.

Here, a z-test with two samples was utilized. Once the hypothesis has been stated, the z Statistic

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Answer:

The total cost of the skateboard is $87.32.

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

(x*y*z*2)

-2*7*-4*2

When two continental plates collide along a convergent plate boundary from a mountain because both plates share the same mass and thickness.

Due to the weight and thickness of the two continental plates being equal during the collision, no plate will sink into the other, which causes mountain development.

Rocks are pushed up to a mountain range as a result of their collision, as opposed to crumpling and folding. A taller mountain will be produced as plate tectonics continue.

The level of collision affects the notion of plate tectonics; continuing collision results in a higher mountain.

Consequently, a mountain is the result of a tectonic plate collision along a convergent border.

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Answer: P/2 - L = W

Step-by-step explanation:

P = 2L + 2W. We are isolating W. Subtract 2L from both sides to isolate the term first
P - 2L = 2W. Divide by 2 on both sides to isolate W.
P/2 - L = W

Option 2) The amount of product needed to generate the same profit is four thousand. 

What is profit?

The money that remains after paying your company expenditures is your profit. Gross profit, operational profit, and net profit are the three primary forms of profit. The largest profit is gross. The amount left over after paying for the sold products and services is displayed.

Given the polynomial function as;

[tex]P(t)=-3t^{3}+12t^{2} +3t[/tex]

P(t) is the company's profit = $12 million

therefore,

[tex]P(t)=-3t^{3}+12t^{2} +3t=12\\-3t^{3}+12t^{2} +3t-12=0[/tex]

factorizing:

[tex](-3t+12)(t^{2}+ t^{2}) -(-3t+12)=0\\(-3t+12)(2t^{2}+1)=0\\[/tex]

[tex]t=4[/tex]

the company produces 1 thousand products

[tex]=4/1[/tex]

[tex]=4 thousand[/tex]

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Answer:

Step-by-step explanation:

3x^2 = -12

x^2 = -4

x = ±√-4

this equation has no real solutions

Answer:

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

Answer:

Step-by-step explanation:

let numerator=x

denominator=x+3

again

[tex]\frac{x+2}{x+3+2} =\frac{2}{3} \\3(x+2)=2(x+5)\\3x+6=2x+10\\3x-2x=10-6\\x=?[/tex]

x=4

number is

[tex]\frac{4}{4+3} \\=\frac{4}{7}[/tex]

The equation of the line would be y = x/3 + 1/2.

Option (B) is correct.

What is the slope-intercept form of the line?

The slope-intercept equation is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis. The slope intercept form equation is given as, y = mx + b.

As we can see in the graph the line cuts the y-axis at y = 1/2

so the y-intercept of the line would be c = 1/2.

And when x=4, y = 2

So we can prepare the equation as y = x/3 + 1/2.

Hence, the equation of the line would be y = x/3 + 1/2.

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The equation of the line would be y = x/3 + 1/2.

Option (B) is correct.

What is the slope-intercept form of the line?

The slope-intercept equation is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis. The slope intercept form equation is given as, y = mx + b.

As we can see in the graph the line cuts the y-axis at y = 1/2

so the y-intercept of the line would be c = 1/2.

And when x=4, y = 2

So we can prepare the equation as y = x/3 + 1/2.

Hence, the equation of the line would be y = x/3 + 1/2.

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In a normal distribution, a data value located 1.5 standard deviations below the mean has Standard Score: z = -1.5

In a normal distribution, a data value located 1.9 standard deviations above the mean has Standard Score: z = 1.9

In a normal distribution, the mean has Standard Score:z = 0

In the question, we can see that it says that the data value is below the mean. Hence this would be indicative of a negative value.

In the second question, given that it is above the mean, the value would turn out to be a positive value. Then in the normal distribution the mean would have z score to be 0

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third side,  AB= 14.318 Units  and  tanB = 0.461

given:

BC=13 units

AC=6 units

solution:

using pythagoras theorem, we get

AB² = BC² + AC²

AB² = 13² + 6²

AB² = 169 + 36

AB² = 205

AB = 14.318 units

tanB = side opposite/side adjacent

tanB = AC/BC

tanB = 6/13

tanB = 0.461

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Using Pythagoras theorem, Third side,  AB= 14.318 Units  and tanB = 0.461

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.

given:

BC=13 units

AC=6 units

solution:

using pythagoras theorem, we get

AB² = BC² + AC²

AB² = 13² + 6²

AB² = 169 + 36

AB² = 205

AB = 14.318 units

tanB = side opposite/side adjacent

tanB = AC/BC

tanB = 6/13

tanB = 0.461

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Step-by-step explanation:

I'm assuming the first equation is 4y + 9x = 25.

Substitute the expression from the second equation:

4 (-x+2) + 9x = 25

The length of EF in line segment DF is 15.

A line segment's boundaries are two separate places on the same line. Another way to describe a line segment is as a piece of the line that joins two points.

Given that,

Length of line segment DF = 19.

Also, E is any point on line segment,

And DE = 4.

To find the length of EF,

Since, E lies on line segment DF,

Implies that,

DE + EF = DF

4 + EF = 19

EF = 15

The required length of EF is 15.

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Answer:

f(-5) = -9

Step-by-step explanation:

f(x) = 2x + 1

f(-5) = 2(-5) + 1

f(-5) = -10 + 1

f(-5) = -9

Answer:

first option

Step-by-step explanation:

using the property of logarithms

ln [tex]x^{n}[/tex] = nlnx ( ln is the natural logarithm )

given

[tex]17^{(0.3x+5)}[/tex] = 12

take the ln of both sides

ln [tex]17^{(0.3x+5)}[/tex] = ln 12 , then

(0.3x + 5) ln 17 = ln 12 ( divide both sides by ln 17 )

0.3x + 5 = [tex]\frac{ln12}{ln17}[/tex] ≈ 0.877063 ( subtract 5 from both sides )

0.3x ≈ - 4.12293 ( divide both sides by 0.3 )

x = [tex]\frac{-4.12293}{0.3}[/tex] ≈ - 13.7431 ( to the nearest ten thousandth )

The required values of functions (f₀g)(-3) is 11 and (g₀f)(6) is 23 respectively.

What is a function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. y and x are coupled in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x), or "f of x." In other words, the same x cannot have more than one value for f(x).

Given, f(x) = 4x - 1

g(x) = |x|

a) (f₀g)(-3) = f(g(-3)) = f(|-3|) = f(3) = 4*3-1 = 11

b) (g₀f)(6) = g(f(6)) = g(4*6-1) = g(23) = 23

Hence, the required values of functions (f₀g)(-3) is 11 and (g₀f)(6) is 23 respectively.

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Answer:

0.25

Step-by-step explanation:

Step 1: Convert all fractions to decimals

Two-thirds = 0.6666

Three-quarters = 0.75

One-half = 0.5

Step 2: Multiply all fractions

0.6666 * 0.75 * 0.5 = 0.25

Step 3: The answer is 0.25

Answer:

[tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

Three-quarters of one half:

[tex]\implies \dfrac{3}{4} \times \dfrac{1}{2}=\dfrac{3 \times 1}{4 \times 2}=\dfrac{3}{8}[/tex]

Two-thirds of "Three-quarters of one half":

[tex]\implies \dfrac{2}{3} \times \dfrac{3}{8}=\dfrac{2 \times 3}{3 \times 8}=\dfrac{6}{24}=\dfrac{6 \div 6}{24 \div 6}=\dfrac{1}{4}[/tex]

Answer:

2y + 19 over 7

Step-by-step explanation:

Steps Using Substitution

7x−3у=−12−2x+3y=−3

Consider the first equation. Add 2x to both sides.

7x−3у+2x=−12+3y

Combine 7x and 2x to get 9x.

9x−3у=−12+3y

Subtract 3y from both sides.

9x−3у−3y=−12

Add 3у to both sides.

9x−3y=−12+3у

Consider the second equation. Add 12 to both sides.

−2x+3y=−3+12

Add −3 and 12 to get 9.

−2x+3y=9

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

9x−3y=3у−12,−2x+3y=9

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

9x−3y=3у−12

Add 3y to both sides of the equation.

9x=3y+3у−12

Divide both sides by 9.

x=1 over 9​(3y+3у−12)

Multiply 91​ times −12+3y+3у.

x=1 over 3​y+3у−4​

Substitute 3−4+y+у​ for x in the other equation, −2x+3y=9.

−2(31​y+3у−4​)+3y=9

Multiply −2 times 3−4+y+у​.

−32​y+38−2у​+3y=9

Add −2y over 3​ to 3y.

7 over 3​y+38−2у​=9

Subtract 8−2у​ over 3 from both sides of the equation.

37​y=32у+19​

Divide both sides of the equation by 37​, which is the same as multiplying both sides by the reciprocal of the fraction.

y=72у+19​

Substitute 719+2у​ for y in x=31​y+3у−4​. Because the resulting equation contains only one variable, you can solve for x directly.

x=31​×(72у+19​)+3у−4​

Multiply 31​ times 719+2у​.

x=212у+19​+3у−4​

Add 3−4+у​ to 2119+2у​.

x=73у−3​

is now solved.

y=72у+19​

Answer: i think 15/8 but, im not sure

Step-by-step explanation:

The amount withheld in FICA Tax for Sol Berenson's weekly earnings is given as follows:

$749.7.

To calculate the amount withheld by Berenson's employer in FICA tax, we apply the proportion of the FICA tax to his total earnings.

Researching on a web search, the FICA tax rate is given as follows:

15.3% = 0.153.

As the FICA tax is a combination of the Medicare tax with the Social Security tax.

Sol Berenson's gross weekly earnings are given as follows:

$4,900.

(as stated in the problem).

The amount withheld is 15.3% of that, which is found applying the proportion, which is the multiplication of 0.153 by 4900 as follows:

Amount Withheld = 0.153 x 4900 = $749.7.

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Answer:

Step-by-step explanation:

You want the value of x that makes the perimeter of a rectangle be 38 cm when sides are x and (2x+7). And you want the largest angle in the quadrilateral with angles x+17, 2x+15, 2x+30, and 4x+19.

The perimeter of a rectangle is given by the formula ...

  P = 2(L +W)

Substituting the given values, we have ...

  38 = 2((2x+7) +x)

Dividing by 2 gives ...

  19 = 3x +7

  12 = 3x . . . . . . . subtract 7

  4 = x . . . . . . . divide by 3

The value of x is 4 cm.

The sum of the angles of a quadrilateral is 360°. This tells us ...

  360 = (x +17) +(2x +15) +(2x +30) +(4x +19)

  360 = 9x +81 . . . . . . . collect terms

  40 = x +9 . . . . . . divide by 9

  31 = x . . . . . . . subtract 9

The largest angle is 4x+19, or 4(31) +19 = 124 +19 = 143.

The largest angle is 143°.

Answer:

The answers are attached to this response.

Step-by-step explanation:

1.

⭐Properties of a rectangle

Using the properties of a rectangle, let's form an equation of the perimeter to solve for x.

perimeter = 2(length) + 2(width)

38 = 2(2x+7) + 2(x)

38 = 4x + 14 + 2x . . . . . . . . .  distribute the coefficients of the expressions

38 = 6x + 14 . . . . . . . . . . . . .  add like terms

24 = 6x . . . . . . . . . . . . . . . . . subtract 14 from LHS and RHS

∴ 4 = x . . . . . . . . . . . . . . . . . . divide LHS and RHS by 6

2.

The figure shown makes the shape of a kite.

⭐Properties of a kite

Using the properties of a kite, let's form an equation of the sum of the internal angles  to solve for x, and then substitute x into the largest angle expression to find its angle measure.

(∠1) + (∠2) + (∠3) + (∠4) = 360°

(2x + 15) + (2x+30) + (4x+19) + (x+17) = 360

9x + 81 = 360 . . . . . . . add like terms

9x = 279 . . . . . . . . . . . subtract 81 from LHS and RHS

x = 31 . . . . . . . . . . . . . . divide LHS and RHS by 9

Substitute x into the largest angle expression to find its angle measure.

4(31) + 19 = 143°

∴ 143° is the largest angle

The statements best describe probability as the relative likelihood that an event will occur. It is a number between 0 and 1 inclusive.

Probability

A mathematical tool used to examine unpredictability is probability. It discusses the likelihood that an event will occur. For instance, you might not get two heads and two tails if you flip a fair coin four times. But if you flip the same coin 4,000 times, you'll get results that are almost evenly split between heads and tails. The theoretically predicted chance of heads in any given toss is 12, or.5. There is a predictable pattern of results when there are numerous repetitions, even though the results of a few repetitions are unknown. One of the authors tossed a coin 2,000 times after reading about the English statistician Karl Pearson, who threw a coin 24,000 times and got 12,012 heads. The outcome was 996 heads. The expected chance of 5 is quite near to being reached by the fraction of 9962,000, which is equivalent to 498.

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An expression which describe the given sequence is, an = -2 + n.

Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.

an = -2 + n is an expression which describe the given sequence

The general rule for the arithmetic sequence is given by,

 an = a + (n - 1)d  ......[1]

where, denotes the initial word.

the common difference

there are n terms;

The given order is -1, 0, 1, 2,.....

This is a frequent difference arithmetic sequence.

Since,0-(-1) = 1

1-0 =1

2-1 = 1 ....

Here, a1 = -1

When you replace [1] with the value of d = 1, you get, a1 = -1

an = -1 + (n -1)(1)

an = -2 + n

Consequently, the following expression describes the given sequence: an = -2+n.

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