Solve y = x + 6 for x.

A.x = y + 6
B.x = −y + 6
C.x = y − 6
D.x = −y − 6

For this case we have the following inequality:

[tex]y-x <-3[/tex]

We must evaluate each of the points and verify if the inequality is met:

[tex](6,2)\\2-6 <-3\\-4 <-3[/tex]

The inequality is met!

[tex](2,6)\\6-2 <-3\\4 <-3[/tex]

It is not fulfilled!

[tex](2, -1)\\-1-2 <-3\\-3 <-3[/tex]

It is not fulfilled!

Thus, the point that meets the inequality is (6,2)

Answer:

Option A

Answer:

5 a.m.

Step-by-step explanation:

From 11 p.m. to midnight is 1 hour.  Adding 5 hours to this result is equivalent to "eleven p.m plus six hours" and is 5 a.m.

Answer:

(y + 2)²(y + 4)

Step-by-step explanation:

Factor the denominators of both fractions

y² + 4y + 4 = (y + 2)²

y² + 6y + 8 = (y + 2)(y + 4)

The least common denominator is (y + 2)²(y + 4)

Answer:

Step-by-step explanation:

y²+4y+4=(y+2)² =(y+2)(y+2)

y²+6y+8 = (y+2)(y+4)

the least common denominator for these

two rational expressions is : (y+2)²(y+4)

From the Circle Graph, We can notice that :

★  32% of 125 teenagers chose watching Television

[tex]:\implies \mathsf{\left(\dfrac{32}{100} \times 125\right)}\;\textsf{teenagers chose watching television}[/tex]

[tex]:\implies \mathsf{\left(\dfrac{32}{20} \times 25\right)}\;\textsf{teenagers chose watching television}[/tex]

[tex]:\implies \mathsf{\left(\dfrac{8}{5} \times 25\right)}\;\textsf{teenagers chose watching television}[/tex]

[tex]:\implies \mathsf{\left(8 \times 5\right)}\;\textsf{teenagers chose watching television}[/tex]

[tex]:\implies \large\boxed{\mathsf{40}}\;\textsf{teenagers chose watching television}[/tex]

Answer:

The answer in the procedure

Step-by-step explanation:

we have

[tex]f(x)=a(b)^{x}[/tex]

This is a exponential function

where

a is the initial value

b is the base

we know that

The initial value of the function is the value of f(x) when the value of x is equal to zero

substitute x=0 in the function

[tex]f(0)=a(b)^{0}[/tex]

Remember that any number to the zero power is one

so

[tex](b)^{0}=1[/tex]

substitute

[tex]f(0)=a*1=a[/tex]

Answer:

Step-by-step explanation:

Error is the difference from the nominal value, hence the nominal value is what is subtracted from x. We want the magnitude of that difference, | x-11.93 |, to be less than the maximum error value, 0.02, so the inequality is ...

  |x -11.93| ≤ 0.02

__

We can solve this by "unfolding" it, then adding 11.93:

  -0.02 ≤ x -11.93 ≤ 0.02

  11.91 ≤ x ≤ 11.95

Answer:

4

Step-by-step explanation:

Recall that the equation for a straight line is y = mx + b, where m is the slope and b is the y-intercept.

we can see that the slope is negative (i.e graph goes from top left to bottom right).  hence the value for m must be negative.

By looking at the answer choices, only 2 and 4 have negative x-terms, hence we can ignore 1 and 3.

Also we notice that the graph intersects the y-axis at y = 2, hence the y-intercept must be 2.

Only Answer 4 satisfies both requirements and is the correct answer.

Answer:

y = - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 3 = - 2(x + 5) ← distribute right side

y - 3 = - 2x - 10 ( add 3 to both sides )

y = - 2x - 7 ← in slope- intercept form

with y- intercept c = - 7

y = - 7 is the y-intercept of the line.

A line's equation has the conventional form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.

Given

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y - 3 = - 2(x + 5) ← distribute right side

y - 3 = - 2x - 10 ( add 3 to both sides )

y = - 2x - 7 ← in slope- intercept form

with y- intercept c = - 7

To know more about equation of line refer to :

https://brainly.com/question/11552995

#SPJ2

ANSWER

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

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

EXPLANATION

The given point has coordinates A(-2,-3).

The rule for the reflection across the y-axis is

[tex](x,y)\to(-x,y)[/tex]

We apply this rule to obtain the coordinates of B.

[tex]A(-2,-3)\to B(--2,-3)[/tex]

Simplify the coordinates of B to get:

[tex]A(-2,-3)\to B(2,-3)[/tex]

The rule for reflection across the x-axis is

[tex](x,y)\to (x,-y)[/tex]

When the point A(-2,-3) is reflected across the x-axis to obtain C, then the coordinates of C are:

[tex]A(-2,-3)\to C(-2,--3)[/tex]

[tex]A(-2,-3)\to C(-2,3)[/tex]

Answer:

B(2 ,-3) and C( -2, 3)

Step-by-step explanation:

i did the test lol :)

[tex]6 \frac{3}{4}[/tex] hours

First, find the time it takes to paint each section with this formula: [tex]\frac{\frac{1}{2}}{\frac{2}{3}}[/tex]

You can use keep, change, flip, to make this multiplication. [tex]\frac{1}{2} * \frac{3}{2}[/tex]

Multiply the numerators. [tex]1 * 3 = 3[/tex]

Multiply the denominators. [tex]2 * 2 = 4[/tex]

So, it takes [tex]\frac{3}{4}[/tex] hour to paint one section of fence.

Now, we just need to find how long it takes to paint 9 sections. [tex]9 * \frac{3}{4}[/tex]

Multiply. [tex]\frac{27}{4}[/tex]

Finally, simplify. [tex]6 \frac{3}{4}[/tex]

For this case we must simplify the given expression:

Rewriting we have:

[tex]\sqrt [3] {\frac {2 * 5x ^ 5} {2 * 27x ^ 8}} =\\\sqrt [3] {\frac {5x ^ 5} {27x ^ 8}} =[/tex]

By definition of division of powers of equal base, the same base is placed and the exponents are subtracted:

[tex]\sqrt [3] {\frac {5x ^ {5-8}} {27}} =\\\sqrt [3] {\frac {5x ^ {- 3}} {27}} =\\\sqrt [3] {\frac {5} {27x ^ 3}} =[/tex]

We have to:

[tex]\sqrt [3] {27x ^ 3} = 3x[/tex]

Then, the expression is reduced to:

[tex]\frac {\sqrt [3] {5}} {3x}[/tex]

ANswer:

Option D

Answer:

its D jus trust

Step-by-step explanation:

Answer:

y + 0.5 = 3(x - 2).

Step-by-step explanation:

We use the point-slope form of the equation which is y - y1 = m(x - x1).

Here m = 3 , x1 = 2 and y1 = -0.5, so the equation is:

y - (-0.5) = 3(x - 2)

y + 0.5 = 3(x - 2).

Answer:

Step-by-step explanation:

The perimeter of the circular part of the sports exhibition can be found with the formula [tex]\pi[/tex]r.The equation is halved from the 2[tex]\pi[/tex]r as it is half a circle.

perimeter of circular part=17[tex]\pi[/tex]

Perimeter of the sports exhibition:

(4000/100)+10+10+68+33+17[tex]\pi[/tex]+34+(700/100)

=202+17[tex]\pi[/tex]

=255m(nearest whole number)

For the area, find the total area of the representive shapes

The two rectangles:10*40+68*33

=2644

The area of the semi circle (:[tex]\pi[/tex]r^2)/2

=17*17*[tex]\pi[/tex]/2

=144.5 [tex]\pi[/tex]

Total area:

2644+144.5 [tex]\pi[/tex]

=3098m^2(nearest whole number)

For this case we have that by definition, an equation of the second degree is given by:

[tex]ax ^ 2 + bx + c = 0[/tex]

We have the following equation:

[tex]0.3x ^ 2 + 5x-7 = 0[/tex]

Then, according to the definition above, we have to:

[tex]a = 0.3\\b = 5\\c = -7[/tex]

Thus, b equals 5.

Answer:

[tex]b = 5[/tex]

Option C

Answer:

288°

Step-by-step explanation:

80% of a circle is

80% of 360 degree

.80 *360

288

Answer:

C. 288°

Step-by-step explanation:

80%  · 360°  (convert 80% to a decimal)

= 0.8  · 360° (then multiply 0.8 to 360°)

= 288°

Answer:

The above answer is incorrect.

Step-by-step explanation:

The answer would be Option D.

A clockwise rotation about the origin basically means turning the shape 90°, and moving it to the left (in this scenario.)

We see that the red triangle is in the first quadrant, and that the green polygon is in the second quadrant. If we rotate the red triangle about the origin clockwise, it would be perfectly in the missing portion of the green square, making is a perfect square.

Answer:

Determine if the equation has the form x = a, if it does then it has one solution.

Step-by-step explanation:

We are given the following equation for which Jeremy wants to determine the number of solutions without actually solving the equation.

The best method for this would be to determine if the equation has the form [tex]x=a[/tex] where [tex]x[/tex] represents the variable while [tex]a[/tex] represents the constant.

If the equation has this form, then it means it has one solution.

Answer:

C or

Determine whether the equation has the form x = a, and if it does, the equation has one solution.

Step-by-step explanation:

i just took the test

Hello There!

To find the quotient of [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{8}[/tex],

we need to multiply by the reciprocal meaning that the fraction

[tex]\frac{3}{4}[/tex] stays the same but we flip the numerator and

denominator for our second fraction so it will end up being

[tex]\frac{8}{1}[/tex] which is the same thing as 8 so the second choice

is your answer.

Answer:

Yes.

Step-by-step explanation:

The longest diagonal in the box is the line between one of the top corners to the opposite bottom corner.

Calculate the length of the longest diagonal in the box:

The diagonal of the base =  √(6^2 + 8^2)

= √100 = 10 inches.

The longest diagonal = √( 24^2 + 10^2)

= √676

=  26 inches

=  26 * 2.54

=  66.04 cms.

Therefore the cylinder (length 63.5 cms) rod can fit in the box.

Answer:

36

Step-by-step explanation:

You take 1/2 the linear term's coefficient and square it.

The linear term is the term that contains just an x and a number -- in this case 12x

Take 1/2 12 = 6

and square it

6^2 = 36

So when you've done that you should get

x^2 + 12x + 36 = 11 + 36

x^2 + 12x + 36 = 47

Answer:

[tex]\large\boxed{_4P_3>_4C_3}[/tex]

Step-by-step explanation:

[tex]\left\begin{array}{ccc}_nP_r=\dfrac{n!}{(n-r)!}\\\\_nC_r=\dfrac{n!}{r!(n-r)!}\end{array}\right\}\Rightarrow\dfrac{n!}{(n-r)!}>\dfrac{n^!}{r!(n-r)!}\Rightarrow_nP_r>_nC_r\\\\\text{because}\\-\text{the nominators are the same}\\-\text{the denominator}\ (n-r)!\ \text{is graeter than the denominator}\ r!(n-r)![/tex]

[tex]\text{Let's check our example:}\\\\n!=1\cdot2\cdot3\cdot4\cdot...\cdot n\\\\_4P_3=\dfrac{4!}{(4-3)!}=\dfrac{1\cdot2\cdot3\cdot4}{1!}=\dfrac{24}{1}=24\\\\_4C_3=\dfrac{4!}{3!(4-3)!}=\dfrac{1\cdot2\cdot3\cdot4}{1\cdot2\cdot3\cdot1!}=\dfrac{24}{6}=4\\\\24>4\Rightarrow_4P_3>_4C_3[/tex]

[tex]nPr = \dfrac{n!}{(n-r)!} \\ \\ nCr = \dfrac{n!}{r!(n-r)!}\\ \\ \Rightarrow nPr > nCr\\ \\ \Rightarrow \boxed{4P3 > 4C3}[/tex]

Answer:

$1326

Step-by-step explanation:

Follow the format of the reconciliation statement

The adjusted cash balances should match

Cash balance as per the bank statement, January 31        1421.95

Add: Deposit in transit                                                           100.05

Deduct: Outstanding checks                                                  (196)

Adjusted cash balance                                                            1326

Balance as per depositor's record, January 31                    1202.5

Subtract: NSF check                                                                  (18)

Subtract: Service charges                                                         (8.5)

Add: receivable collected                                                          150

Adjusted cash balance                                                              1326

The reconciled amount is $1326.

!!

For this case we have the following expression:

[tex]ax ^ 4[/tex]

We must find the value of the expression when:

[tex]a = 2\\x = 1[/tex]

Substituting the values in the expression we have:

[tex]2 (1) ^ 4 = 2 * 1 = 2[/tex]

Thus, the value of the expression is 2.

Answer:

The value of the expression is 2

Option A

Answer:

The correct answer is A

Step-by-step explanation:

The given expression is [tex]ax^4[/tex].

We want to evaluate this expression for: [tex]a=2,x=1[/tex].

We just have to substitute a=2 wherever we see 'a' in the expression [tex]ax^4[/tex] and x=1 wherever see x in the same expression.

We perform the substitution to get:

[tex]2(1)^4[/tex]

We evaluate the exponent to get:

 [tex]2(1)[/tex]

We now multiply to get:

 [tex]2[/tex]

Replace t with 2.3 and solve:

8(2.3)^2 +4(2.3) + 125

Simplify:

8(5.29) + 9.2 + 125

42.32 + 9.2 + 125

51.52 + 125

176.52 meters

Answer:

176.52m

Step-by-step explanation:

Given is the height of a ball as

[tex]h(t) = 8t^2+ 4t +125[/tex]

where t is time, in seconds, after the ball was thrown and h(t) is the corresponding height, in meters

When t=2.3, substitute this for t

h(2.3) = [tex]8(2.3)^2 +4(2.3)+ 125 \\=176.52m[/tex]

Answer:

4

Step-by-step explanation:

12 can be multipled by 4 and 4 and 8 can be multipled by 4 and 2 so 4 is the greatest common factor

Answer:

4

Step-by-step explanation:

since 5 is the y coordinate, subtract 8. 5-8=-3!

Answer:-3

Step-by-step explanation:

Answer: [tex]x=\frac{1}{3}[/tex]

Step-by-step explanation:

You need to remember the Negative exponent rule:

[tex]a^{-n}=\frac{1}{a^n}[/tex]

Then, having the equation [tex]9x^{-1} - 2 = 25[/tex], you can rewrite it in this form:

[tex]\frac{9}{x} - 2 = 25[/tex]

Now add 2 to both sides of the equation:

[tex]\frac{9}{x} - 2+2 = 25+2\\\\\frac{9}{x}=27[/tex]

Multiply both sides of the equation by "x":

[tex](x)(\frac{9}{x})=27(x)\\\\9=27x[/tex]

 And finally divide both sides of the equation by 27.

The value of "x" is:

[tex]x=\frac{9}{27}\\\\x=\frac{1}{3}[/tex]

Answer:

C on edg

Step-by-step explanation:

Answer:

[tex]b^1^2[/tex]

Step-by-step explanation:

First, multiply by exponent rule.

[tex](x^y)^z=x^y^z[/tex]

[tex]b^4^*^3[/tex]

Then, multiply by the numbers from left to right.

[tex]4*3=12[/tex]

[tex]b^1^2[/tex], is the correct answer.

Answer:

b^12

Step-by-step explanation:

When there is a power of a power, you multiply the powers

He is 50 years old

200-(3*50)=age

200-150= 50

Answer:

50

Step-by-step explanation:

200-(3x)=50

3x=200-50 (Collect like terms)

3x=150

3x/3=150/3 (Divide through by 3)

x=50