q(x)= 1/2x - 3; q(x) =-4. Find the value of x

Answers

Answer 1

Answer:

[tex]q(x) =-5[/tex]

Step-by-step explanation:

I am solving this using Function Notation.

We are given:

[tex]q(x)= \frac{1}{2}x - 3[/tex]

While we are to find:

[tex]q(x) =-4[/tex]

In Function Notation, replace all the "[tex]x[/tex]" you see with the value you are given.

So, in this case,

[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3[/tex]

Would become

[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3[/tex]

Now we can solve.

[tex]\frac{1}{2}(-4) - 3[/tex]

Use PEMDAS; Parenthesis first;

[tex]\frac{1}{2}(-\frac{4}{1})[/tex]

Cross divide: 1 cancels 1, -4 ÷ 2 = -2

Hence, we are left with

[tex](-2) - 3[/tex]

[tex]-5[/tex]

Therefore, the value of x is -5


Related Questions

Round the following numbers to 1 significant figure: a) 276 040 b) £238.02 c) 17521 km​

Answers

Answer:

a) 300000 b)£200 c) 20000km

Step-by-step explanation:


A jar contains 2000 marbles. If 61.5% of them are red, 27.5% are white, and 10% of them are blue, how many marbles are neither red, white, or blue?

Answers

Answer:

1 percent, or 20 marbles

Step-by-step explanation:

add all the other percentages and it sums up to 99%. and the other one percent of the marbles is 20.

Answer:

20 marbles

Step-by-step explanation:

61.5 + 27.5 + 10 = 99

this means 1% are neither red, white or blue

1% of 2000 is 20

Will mark brainlist
Simplify. 3/2(x+3/4)−(x+1)

5/2x+17/8

12x+17/8

1/2x+1/8

Answers

Answer:

1/2x=+1/8

2

x+

1

8

Step-by-step explanation:

slope of the line that passes though (-4.5,7/5) and (3,3.5)

Answers

Answer:

5

Step-by-step explanation:

y2-y1

--------

x2-x1

8/1.5=5

EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
I WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP!

Answers

Answer:

The choice b.

[tex] \sin \: A = \frac{4}{5} [/tex]

Step-by-step explanation:

sinA = opposite/hypotenuse

[tex]sinA = \frac{28}{35} = \frac{4}{5} [/tex]

How many solutions are there for this equation? Why?​

Answers

Answer:

d

Step-by-step explanation:

SOMEONEEE PLZ HELP 20 POINTS

JUST NEED HELP IN THE LAST4

Answers

Answer:

where is your questions

If y=cosh(4tanh¯¹x) then dy/dx=​

Answers

If you're like me and don't remember hyperbolic identities (especially involving inverse functions) off the top of your head, recall the definitions of the hyperbolic cosine and sine:

[tex]\cosh(x) = \dfrac{e^x + e^{-x}}2 \\\\ \sinh(x) = \dfrac{e^x - e^{-x}}2[/tex]

Then differentiating yields

[tex]\dfrac{\mathrm d(\cosh(x))}{\mathrm dx} = \dfrac{e^x-e^{-x}}2 = \sinh(x) \\\\ \dfrac{\mathrm d(\sinh(x))}{\mathrm dx} = \dfrac{e^x+e^{-x}}2 = \cosh(x)[/tex]

so that by the chain rule, if

[tex]y = \cosh\left(4\tanh^{-1}(x)\right)[/tex]

then

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d\left(\cosh\left(4\tanh^{-1}(x)\right)\right)}{\mathrm dx} = \sinh\left(4\tanh^{-1}(x)\right) \dfrac{\mathrm d\left(4\tanh^{-1}(x)\right)}{\mathrm dx}[/tex]

Now, let [tex]z=4\tanh^{-1}(x)[/tex], so that (•) [tex]\tanh\left(\frac z4\right) = x[/tex].

Recall that

[tex]\tanh(x) = \dfrac{\sinh(x)}{\cosh(x)} = \dfrac{e^x-e^{-x}}{e^x+e^{-x}}[/tex]

and so the derivative of tanh(x) is

[tex]\dfrac{\mathrm d(\tanh(x))}{\mathrm dx} = \dfrac{(e^x+e^{-x})(e^x+e^{-x})-(e^x-e^{-x})(e^x-e^{-x})}{(e^x+e^{-x})^2} \\\\ = \dfrac{4\cosh^2(x)-4\sinh^2(x)}{4\cosh^2(x)} \\\\ = 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

where the last equality follows from the hyperbolic Pythagorean identity,

[tex]\cosh^2(x)-\sinh^2(x) = 1 \implies 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

Differentiating both sides of (•) implicitly with respect to x gives

[tex]\dfrac{\mathrm d\left(\tanh\left(\frac z4\right)\right)}{\mathrm dx} = \dfrac{\mathrm d(x)}{\mathrm dx} \\\\ \mathrm{sech}^2\left(\dfrac z4\right)\dfrac{\mathrm d\left(\frac z4\right)}{\mathrm dx} = 1 \\\\ \dfrac14 \mathrm{sech}^2\left(\dfrac z4\right) \dfrac{\mathrm dz}{\mathrm dx} = 1 \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\dfrac z4\right) \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\tanh^{-1}(x)\right)[/tex]

So, the derivative we want is the somewhat messy expression

[tex]\boxed{\dfrac{\mathrm dy}{\mathrm dx} = 4\sinh\left(4\tanh^{-1}(x)\right) \cosh^2\left(\tanh^{-1}(x)\right)}[/tex]

and while this could be simplified into a rational expression of x, I would argue for leaving the solution in this form considering how y is given in this form from the start.

In case you are interested, we have

[tex]\cosh\left(\tanh^{-1}(x)\right) = \dfrac1{\sqrt{1-x^2}}[/tex]

and you can instead work on differentiating that; you would end up with

[tex]\dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{16x^3+16x}{(x^2-1)^3}[/tex]

YALL PLSSSSSSSS HELP IM SHAKING I NEED HELP PLSS

Answers

Answer:

someone is adding dont worrie

Step-by-step explanation:

How do you get the answer for 37.203-29.8

Answers

Answer:

Step-by-step explanation:

37.203

-29.800

=36.203+1-29.800=36.2003-1+0.200=7.403

Answer:

Subtraction,... Below,...!

Step-by-step explanation:

37.203 - 29.800 = 7.403

Subtract like you where subtracting 37203 - 29800 you add the extra 0's to align the would-be decimal points...

37203 - 29800 = 7403

Answer: 7.403

Chow,...!

The price of a technology stock has risen to $9.66 today. Yesterday's price was $9.53. Find the percentage increase. Round your answer to the nearest tenth of a percent

Answers

Answer:

0.13

Step-by-step explanation:

Alana bought fabric to make scarves lf the fabric costs $5.50 per yard how much fabric did she buy for $26.40?​

A 0.48 yards
B 2.4 yards
C 4.8 yards
D 48 yards​

Answers

Answer:

C : 4.8 yards

Step-by-step explanation:

$26.40 ÷ $5.50

= 4.8

Nolan’s car used 2 gallons to travel 50 miles. How far can he travel on 3 gallons?

Answers

Answer:

75 miles

Step-by-step explanation:

because half of 50 is 25 so 25x2 is 50 and 50 plus 25 is 75

Answer:

75

Step-by-step explanation:

count by 25's

25+25=50

50+25=75

Express 8 1/5% as a mixed number or a fraction

Please show work so I can understand it so I know what to do on problems that look like this in the future

Answers

Answer:

41/5

Step-by-step explanation:

First we change the 8 and 1/5% to 8.2%

Write the fraction down as a number over one = 8.2/1

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

8.2/1 = (8.2 × 10)

(1 × 10) = 82/10

Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.

Explain how you can estimate [tex]\sqrt{40[/tex]
i will give brianleist ifd you anserw

Answers

Answer:

Step-by-step explanation:

You can find the perfect squares that are closest to this by listing the perfect squares and seeing which two this square would be between, which is the square root of 36 and the square root of 49:

[tex]\sqrt{36} < \sqrt{40} < \sqrt{49}[/tex]

HELP FASTT THIS IS DUE TODAY

Answers

Answer:

45in & 87in^2

Step-by-step explanation:

W = 7*2.5in=17.5in

L = 2*2.5in=5in

Perimeter = 2(L+W)

2(5in+17.5in)

45in

Area = L*W

17.5in*5in=87in^2

Remember, Perimeter is linear while area is squared.

Abigail has a bag that contains pineapple chews, lemon chews, and watermelon
chews. She performs an experiment. Abigail randomly removes a chew from the bag,
records the result, and returns the chew to the bag. Abigail performs the experiment
35 times. The results are shown below:
A pineapple chew was selected 20 times.
A lemon chew was selected 7 times.
A watermelon chew was selected 8 times.
Based on these results, express the probability that the next chew Abigail removes
from the bag will be a flavor other than watermelon as a decimal to the nearest
hundredth.

Answers

Answer:

w=8

w+p+l = 35

=8\35 =0.228

please helpppppppppppppppp

Answers

Answer:

a

Step-by-step explanation:

the balloon was at 595 feet

595

then it dropped 495 feet

525-495= 30

the equals 30 means that it is currently 30 feet above the ground

and if it dropped another 15 feet it would not reach the ground, which is zero, the balloon would still be 15 feet above the ground

30-15= 15

so the balloon never reached zero

Answer:

A

Step-by-step explanation:

I took the quiz and got a 100, please mark brainlyiest



Write an equation for the description

Tanmayi wants to raise $165 for a school fundraiser. She has raised $130 so far. How much more does she
need to reach her goal? Let m be how much more is needed.

Answers

Answer:

She needs $55 more dollars

Step-by-step explanation:

Answer:

[tex]m + 130 = 165 \\ m = 165 - 130 = 35 \: dollars[/tex]

Brihana kayllie works in a chocolate factory. She gets 8.75 per hour. how much money does she earn in 8 hours? 40 hours? Show your work in the box provided.

Answers

Answer:

Briana would get $70 in 8 hours and $350 in 40 hours.

Step-by-step explanation:

Multiply 8.75 by 8 to get $70

Multiply 8.75 by 40 to get $350

Hope this helps!!

Answer:

70$ in 8 hours and 350$ in 40 hours

Step-by-step explanation:

8.75 + 0.25 = 9 X 8 = 72 - 2 = 70

0.25 X 8 = 2

8.75 + 0.25 = 9 X 40 = 360 - 10 = 350

0.25 X 40 = 10

Please help
(and explain how you got the answer)
Solve for x.
1/4 + 1/2 + x = −3/4
Enter your answer in the box.

x =

Answers

Answer:

x=-1.5

Step-by-step explanation:

To solve for x, you need to rearrange so the x is on one side of the "=" by itself.

So To do that, first you need to subtract 1/4 on both sides of the "=". This leaves you with 1/2+x=-3/4-1/4. You can simplify the -3/4-1/4 to -1 (-4/4). So, you now have 1/2+x=-1.

The next step is to subtract 1/2 on both sides of the "=". This leaves you with x=-1-1/2. Again, you can simplify the -1-1/2 to -3/2 which can be written as -1.5. So, you now have x=-1.5, which is the final answer.

The question may ask you to write your answer in the form of a fraction, in which case your answer x=-3/2. If the questions wants it written as a mixed number, your answer would be -1 1/2.

I have attached a photograph of this method written out using the funnel technique.

El diseño de un sistema requiere instalación de 2 componentes iguales. El sistema completo funcionará si al menos 1 de los componentes funcionan,mientras que un sistema alternativo requiere cuatro de sus componentes funcionará si al menos 2 de sus componentes están funcionando.
La probabilidad de que un componente funcione de manera individual es de 0.9 y cada uno funciona de manera independiente. ¿cuál de los 2 diseños tienen mayor probabilidad de funcionar?

Answers

Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

n es el número de ensayos. p es la probabilidad de éxito en un ensayo. x es el número de éxitos.

En este problema:

La probabilidad que un componente funcione es 0.9, o sea, [tex]p = 0.9[/tex].

Diseño de 2 componentes:

2 componentes implica que [tex]n = 2[/tex].

La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

En que:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]

Entonces:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]

Diseño de 4 componentes:

4 componentes implica que [tex]n = 4[/tex].

La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

En que:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]

[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]

Entonces:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]

[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Un problema similar es dado en https://brainly.com/question/25132113

How many groups of 3/4 are in 4 1/2

Answers

Answer:

5 1/2

Step-by-step explanation:

3/4+3/4+3/4+3/4+3/4+1/2= 4.25

4.25 = 4 1/2

The number of 3/4 groups is 6.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total amount = 4(1/2) = 9/2

The number of groups.

= 9/2 ÷ 3/4

= 9/2 x 4/3

= 6

Thus,

There are 6 groups of 3/4.

Learn more about fractions here:

https://brainly.com/question/24370499

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which equation can be used to represent this problem? company spent $2000 developing a waterproof fabric. The company makes $3 on the sale of each yard of fabric after subtracting anufacturing costs. How many yards of fabric, x, will they need to sell to have a profit of $12,000?

A 2000 - 3x = 12000
B 12000 - 3x =2000
C 3x - 2000 = 12000
D 3x - 12000 = 2000​

Answers

The answer for this is A.

1. Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike? Answer:

Answers

Answer:

 

answer

First we need to write system of 2 equations with 2 variables:

x*6 + y*12.5 = 34

x+y = 3.5

for substitution we express one of variables in one of equations and put it in other equation.

x = 3.5-y

(3.5 - y)*6 + 12.5*y = 34

21 - 6y + 12.5y = 34

6.5y = 13

y = 2

x = 3.5 - y = 3.5 - 2 = 1.5

she ran for 1.5 hours and biked for 2 hours.

check:

1.5*6 + 2*12.5 = 9 + 25 = 34 = 34

will mark brainlist
Simplify. 3/2(x+3/4)−(x+1)

5/2x+17/8

12x+17/8

1/2x+1/8

Answers

Answer:

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

Step-by-step explanation:

Remove the parenthesis

HELPPPPPPP FASSSSSSSSST THIS IS DUE

Answers

The answer is 400 miles
You multiply 6 2/3 x60

Sheryl spends ​$ 12 every week on cigarettes and spends ​$ 23 a month on dry cleaning. On an annual​ basis, the money spent on cigarettes compared to the money spent on dry cleaning.

Answers

Answer:

just for the points

Step-by-step explanation:

Historically, the course covering material and energy balances at many universities is challenging. Many students, however, are resilient. The historical data for Professor Testor's classes indicate that about 70% of the students (new students plus students who are retaking the course) pass the class. Of the students who do not pass, 75% register to take the class again the following semester. Round your answers to the following questions to the nearest integer. If 125 new students (students that have never taken the class before) register for the class each semester, what is the total number of students taking the class

Answers

Answer:

bla bla

Step-by-step explanation:

67

no links Use the hundreds grid to answer the question.

A 10 by 10 grid is shown with the first 9 columns shaded. The top row is also shaded in a different color. The first 9 squares of the top row overlap with the 9 shaded columns.

Give the decimal multiplication equation shown by the model. Explain how each part of the equation is shown on the model. Include the final product.

Answers

Answer:

9%

Step-by-step explanation:

There are 100 boxes and only 9 are shaded so a fraction of that would be 9/100 so if you convert that to a percentage it would be 9% of the boxes

so therefor 9% is you answer

hope this helped

BRANLIEST?

The model is considered to be expressing the equation "9 x 0.1 = 0.9".

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

A 10 by 10 grid is shown with the first 9 columns shaded. The top row is also shaded in a different color. The first 9 squares of the top row overlap with the 9 shaded columns.

It looks like the model is showing the equation "9 x 0.1 = 0.9".

The "9" is shown by the 9 shaded columns on the grid. The "0.1" is shown by the top row of the grid, which is shaded differently from the rest of the grid. The "0.9" is shown by the 9 shaded squares in the top row, which overlap with the 9 shaded columns.

The final product of the equation is 0.9.

Learn more about the equations here:

brainly.com/question/10413253

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