Solve for x in the equation below.

(x – 2) = –1/4(x – 8)

Answer: -1 ≤ x ≤ 4.

Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.

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[tex]q(x) = {x}^{2} - 3x - 4[/tex]

[tex]q(10) = ( {10})^{2} - (3 \times 10) - 4 [/tex]

[tex]q(10) = 100 - 30 - 4[/tex]

[tex]q(10) = 70 - 4[/tex]

[tex]q(10) = 66[/tex]

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Thus the correct answer is (( C )) .

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Answer:

It would be B.

Step-by-step explanation:

divide Y by X.

Answer:

Work shown below!

Step-by-step explanation:

(x + 4)(x - 3) = [tex]x^{2} -3x+4x-12=x^{2} +x-12[/tex]

Answer:

3

Step-by-step explanation:

2×-6=4×-12

-2. -2

-6=2×-12

+12. +12

6=2×

/2 /2

×=3

Answer:

-5 degrees

Step-by-step explanation:

-10+5= -5

Answer:

-5 degrees

Step-by-step explanation:

Current temperature = initial temperature + increased temperature

Current temperature = [tex]-10+5[/tex]

Current temperature = [tex]-5[/tex]

Answer:

SHUT THE HELL UP

Step-by-step explanation:

Answer:

80×75+7+4x

Step-by-step explanation:

it's just a expression

Answer:

The statement "(a) all whole numbers are rational numbers" is true.

Step-by-step explanation:

A rational number is the number which can be expressed in the from  of  [tex]\frac p q[/tex], where p, q are integers and q\neq0.

(a.) As all the whole numbers (0,1,2,3...) can be expressed in the form of p/q having q=1.

Hence,  the statement "(a) all whole numbers are rational numbers" is true.

(b). As the rational numbers can have the fractional value but any integers don't have fractional value, so all the rational numbers are not integers.

Hence, the statement "(b). All rational numbers are integers" is not true.

(c). As the rational numbers can have the fractional value but any whole numbers don't have fractional value, so all the rational numbers are not whole numbers.

Hence, the statement "(c). All rational numbers are whole numbers." is not true.

(d). Integers( ...,-2,-1,0,1,2,...) can be negative, but the whole numbers (0,1,2,...) can't be negative. So, all integers can't be whole numbers.

Hence, the statement "(d). All integers are whole numbers" is not true.

Answer:

A

Step-by-step explanation:

Answer:

On the trig unit circle,

tan 225 = tan (45 + 180) = tan 45 = 1

Answer:

7 to the 7th power

Step-by-step explanation:

To get your answer you add your two exponents together and that becomes your new exponent. Your base number stays the same..

The answer is 7 ⁷

Step-by-step explanation: 7 ⁴ is 343 and 7 ³ is 2401 so if you multiply those together it is

823,543. 7 ⁷ in total is 823,543

Answer:

Yes, you were correct with x=5. AB=CD=25 and AC=BD=23

Step-by-step explanation:

You already have x=5.

The first question is AB=CD=__ so you can just look at AB and you see it says 5x. You just substitute in the 5 for the x because you already got that. 5 times 5 = 25 and there is your first answer.

AC=BD=__ is your next question and you just look at AC and see "5x-2" and substitute in the x again. So you'll have 5(5)-2 which is 25-2 and your answer will be 23.

Yes, it is correct with x=5.It comes AB=CD = 25 and AC = BD=23.

Given that,

Based on the above information, the calculation is as follows:

AB = CD

Here AB = 5x

= 5(5)

= 25

So AB = CD = 25

Now

AC = BD

Here

AC = 5x - 2

= 5(5) - 2

= 25 - 2

=23

So AC = BD = 23

Therefore we can conclude that Yes, it is correct with x=5.It comes AB=CD = 25 and AC = BD=23.

Learn more: brainly.com/question/13549064

Answer:

(1/2)x - y = -2

General Formulas and Concepts:

Pre-Alg

Alg I

Slope-Intercept Form: y = mx + b

Standard Form: Ax + By = C

Step-by-step explanation:

Step 1: Define equation

Slope-Intercept Form: 2 + (1/2)x = y

Step 2: Find Standard Form

Answer:

The least amount of pencils that can be bought is 7

Step-by-step explanation:

Step one:

Budget=$50

the cost of one binder= $7

then 5 binders will cost= 7*5= $35

the balance will be 50-35= $15

Step two:

let the number of pencils that can be bought be x

The cost of each pencil = $2

the remaining amount from the budget to get pencils is $15

Hence the number of pencils that can be bought is

x=15/2

x=7.5

The least amount of pencils that can be bought is 7

Answer:

When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.

Step-by-step explanation:

.

Answer:

adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about

Answer:

my answer is incorrect

Step-by-step explanation:

Since the two shapes are similar, you can answer this question with a proportion.

[tex]\frac{12}{200} = \frac{15}{area} \\12area = 200*15\\area = \frac{200*15}{12} = 250[/tex]

Another way you could solve it is to find the percentage growth of the height of the area.

[tex]\frac{15-12}{12} = \frac{3}{12} = 25[/tex] percent growth.

We can multiply the area of A by 1.25 to find the area of B

[tex]200*1.25 = 250[/tex]

edit: I was incorrect, it is not linear.

It would be [tex]200*(1.25)^2[/tex]

Answer:

Step-by-step explanation:

12²=200cm²

15²=??

(15²×200)÷12²

=312.5

Answer:

A

Step-by-step explanation:

all triangles equal 180°, it gives you two angles on each triangles. if you add them together and subtract that from 180 you'll get the final angle. the angles on both triangles Are 45,63, and 72. (they add up to 180) and because both triangles have two angels that are the congruent. they are similar by the Angle angle postulate.

Answer:

the atomic number of copper equals 29

Answer:

second A

Step-by-step explanation:

They are alternate interior angles

Answer:

10079

Step-by-step explanation:

There are 8!/(2!*2!) = 10080 ways to arrange the letters of MISSPELL. There is only 1 right way to spell MISSPELL correctly so there are 10080-1 = 10079 ways to spell MISSPELL incorrectly.

Answer:

a,b,c,f

Step-by-step explanation:

The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.

A statistical chart called a dot chart or dot plot is made up of data points that are represented on a very basic scale, usually using filled-in circles. The dot chart comes in two widely used but quite different forms.

A statistical chart made up of data points drawn on a relatively basic scale is known as a dot diagram, sometimes known as a dot plot. One of the simplest statistical plots is the dot plot, which is typically applied to tiny data sets. They can be used to draw attention to outliers, gaps skew in the distribution and clusters.

The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.

More about the dot plot link is given below.

https://brainly.com/question/21862696

#SPJ6

Answer:

-5 (4x+y)

Step-by-step explanation:

Factor out -5, and -20/-5=4, -5/-5=1.

Answer:

100

Step-by-step explanation:

multiplication, 20*5.

Answer:

i would go with 100

Step-by-step explanation:

20 times 5

Answer:

E' (1, -2)

Step-by-step explanation:

This is a counterclockwise rotation of 270, or a clockwise rotation of 90. A point that undergoes a 270 degree rotation follows this pattern:

(x, y) --> (y, -x)

(2, 1) --> (1, -2)

Answer:

I suppose that this refers to numbers like:

N = abcd

Where a, b, c and d are single digits.

We want to find the number of 4-digit numbers such that:

a, b, c and d are even numbers.

So let's count the number of options for each digit, where we impose that the possible digits must be even.

a: Here we have the options {2, 4, 6, 8} ( 0 is an even digit, but if we take a = 0, then this would be a 3 digit number) Then we have 4 options for a.

b: Here we have the options {0, 2, 4, 6, 8}. 5 options in total.

c: Here we have the options {0, 2, 4, 6, 8}. 5 options in total.

d: Here we have the options {0, 2, 4, 6, 8}. 5 options in total.

The total number of possible combinations will be equal to the product of the number of options for each selection.

C = 4*5*5*5 = 500

There are 500 "nice" numbers of 4-digits.

Answer:

B...i'm pretty sure that this Is the right one

Answer:

She is not correct, the claim is wrong

Step-by-step explanation:

Here, we want to check if a claim

made is correct

We can represent the exponential function as;

y = I( 1 - r)^t

So in this case;

1 - r = 0.72

r = 1 - 0.72

r = 0.28

This is same as 28%

So what this mean is that we expect a decrease of 28% per day

There are 24 hours on a day

So the decrease per hour will be 28%/24 = 1.167%

So as we can see the claim is wrong

The model of the level of water in a draining pool is an illustration of an exponential function.

Inayah's claim is incorrect, because the water drains at 28% per hour

The function is given as:

[tex]\mathbf{y = 12(.72)^t}[/tex]

An exponential function is represented as:

[tex]\mathbf{y = a(1 - r)^t}[/tex]

Where r represents the rate.

So, by comparison

[tex]\mathbf{1 - r = 0.72}[/tex]

Collect like terms

[tex]\mathbf{- r = 0.72 - 1}[/tex]

[tex]\mathbf{- r = -0.28}[/tex]

Multiply both sides by -1

[tex]\mathbf{r = 0.28}[/tex]

Express as percentage

[tex]\mathbf{r = 28\%}[/tex]

This means that, the water drains at 28% per hour

Hence, Inayah's claim is incorrect

Read more about exponential functions at:

https://brainly.com/question/15352175

Answer:

Part A: if cosθ = 4/5 and sinθ < 0, then

secθ = 5/4

sinxθ = 3

tanθ = 15/4, cotθ = 12/5, cscx = 1/3

Step-by-step explanation:

Remember, secθ = 1/4/5 --> 1/4 *5/1 = 5/4

sinx, cscx, cotx, and tanx will be negative because since sinθ < 0 and cosθ is positive, this means that the quadrant will be in quadrant 4

To find these values, we have to use the pythagorean identities

cosx = adj/hyp, sinx = opp/hyp, and tanx = adj/opp

Since 4 is the value of the adjacent side, and we know that x² + 4² = 5².

x² + 16 = 25 ---> x² = 9--> x =3.

Since the value of the opposite side equals 3, and sinx = y, y = 3. Now we can find the rest of our trig values.

Remember that cosθ = x and sinθ = y

tanθ = y/x, cotθ = x/y, secθ = 1/x, cscx = 1/y.

So, since cosθ = 4/5 and sinθ = 3,

tanθ = 15/4, cotθ = 12/5, cscx = 1/3

Answer: 1924

Step-by-step explanation:

Number if seats in the theater = 3700

Percentage of seats filled by students in the theater = 52%

The number of 6th graders that went on the trip will be gotten by multiplying 52% by 3700. This will be:

= 52% × 3700

= 52/100 × 3700

= 0.52 × 3700

= 1924

1924 students went on the trip