Which ordered pair is included in the solution set to the following system?

y > x2 + 1
y < x2 – x + 1


(–3, 4)
(–2, 6)
(0, 2)
(2, 4)

Answer:

since it talks about a ratio of margarine to flour, we should write it in this form:

Since we have a 50g margarine and a 200g flour, therefore, we write it as

➡️ 50 : 200 ➡️ 1 : 4

FINAL ANSWER SHOULD BE:

Step-by-step explanation:

Ratio of MARGARINE TO FLOUR

Given that margarine is 50g and flour is 200g. Therefore,

Margarine:Flour ➡️ 50:200 = 1:4

To check:

A:B= C:D ➡️ 50:200= 1:4

▶️AD= BC ➡️ (50) (4) = (200) (1)

➡️ 200 = 200

☑️

Hope it helps

Answer:

D. x=1

Step-by-step explanation:

8-2x = -8x + 14

First, add 8x to both sides.

8+6x=14

Next, subtract 8 from both sides.

6x=6

Lasty, divide 6 from both sides.

x=1

Hope this helps!

If not, I am sorry.

Answer:

∠ DCF = 39°

Step-by-step explanation:

the secant- secant angle DCF is half the difference of the measures of the intercepted arcs, that is

∠ DCF = [tex]\frac{1}{2}[/tex] (EG - DF) = [tex]\frac{1}{2}[/tex] (127 - 49)° = [tex]\frac{1}{2}[/tex] × 78° = 39°

Answer:

d.) 21

Explanation:

Rules:

Solve:

[tex]\rightarrow \sf \dfrac{4|a|}{2} + |a-3|[/tex]

[insert a = -6]

[tex]\sf\rightarrow \dfrac{4|-6|}{2} + |-6-3|[/tex]

[simplify the following]

[tex]\sf\rightarrow \dfrac{4(6)}{2} + 9[/tex]

[tex]\sf\rightarrow 12 + 9[/tex]

[tex]\sf\rightarrow 21[/tex]

Answer:

Step-by-step explanation:

Givens

x + y = 2

x - y = 6

Solution

Just add the two equations together. The y's will drop out.

x + y = 2

x - y = 6             Add

2x = 8                 Divide by 2

2x/2 = 8/2          Combine

x = 4                   Substitute x = 4 into the top equation

x + y = 2

4 + y = 2             Subtract 4 from both sides

4-4+y=2-4          Combine

y = - 2    

Answer

x = 4

y = -2

Answer:

I'm pretty sure it is d... .......

Answer:

258 km

Step-by-step explanation:

We can calculate the speed of the boat with (333km/7 hours) = 47.57 km/hr.

Assuming the same speed, the boat would travel (47.57 km/hr)*(6 hr) = 258 km

Step-by-step explanation:

[tex] \sqrt{ - 64 } = - 8[/tex]

so the answer you got pls mark branlist

Using it's concept, it is found that the probabilities are given as follows:

a) 0.0527 = 5.27%.

b) 0.0088 = 0.88%.

c) 0.0098 = 0.98%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

6 out of 16 songs are of the Beatles, hence the probability of a single music being from the Beatles is:

[tex]pB = \frac{6}{16} = \frac{3}{8}[/tex]

Of three musics, the probability is:

[tex]p = \left(\frac{3}{8}\right)^3 = 0.0527[/tex]

Item b:

For the Rolling stones, the probability is:

[tex]pR = \frac{4}{16} = \frac{1}{4}[/tex]

For the four musics, the probability is:

[tex]p = \left(\frac{1}{4}\right)^2 \times \left(\frac{3}{8}\right)^2 = 0.0088[/tex]

Item c:

For the doors, the probability is:

[tex]pD = \frac{2}{16} = \frac{1}{8}[/tex].

For Beatles or Rolling stones, the probability is:

[tex]pBR = \frac{10}{16} = \frac{5}{8}[/tex]

For the three musics, the probability is:

[tex]p = \left(\frac{1}{8}\right)^2 \times \frac{5}{8} = 0.0098[/tex]

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The temperature that accurately describes the time that would have spent cooling is 300.

We have the function as f(t) = 349.2(0.98)t

We have to solve for all of the values in the option

When t = 0

This would give us an infinite value for t hence it is not the answer.

When t = 100

we have 61.6

When t = 300

we have f(t) = 7.5

WHen t = 400

f(t) = -6.7

From the solved values the accurate one that has to talk about the time spent cooling is 300 at 7.5

The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400

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Answer:

[tex]\frac{x}{12}[/tex] (x/12)

Step-by-step explanation:

if 12 pieces combine to make x, [we know they are identical], each piece must be 1/12 of x [1/12·x = x/12]

(think of it like this: "x" length must be divided amongst 12 pieces, so, we divide x/ 12)

Answer:

Timber=x/12

Step-by-step explanation:

12 pieces long is x, if the length of each one is same, so the length of each one is x/12.

Answer:

2ab(a2b−2)

Step-by-step explanation:

Answer:

With monthly compounding, the bank will calculate interest on your account just once per month. It will not update your balance on a daily basis when it calculates how much interest it owes you. Assuming that the APR is the same, accounts with monthly compounding offer a lower APY than accounts with daily compounding.

Answer:

has no x^2 term

Step-by-step explanation:

Has no x^2 term   <====== that would make it an exponential function, not linear

The value of (x,y) is  (1.2 , -4.7) , Option D is the right answer.

The complete question is

On a coordinate plane, a line is drawn from point a to point b. point a is at (7, negative 2) and point b is at (negative 8, negative 9). what are the x- and y-coordinates of point c, which partitions the directed line segment from a to b into the ratio 5:8? round to the nearest tenth, if necessary. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)

Coordinates are the location of a point in an (x,y) plot.

The given data is

Coordinates of

A = (7,-2)

B = (-8,-9)

m:n = 5:8

The coordinates of partition has to be determined

The formula used is

[tex]\rm (x,y) = \dfrac{1}{m+n} *(nx_1 + mx_2 , ny_1+ny_2)\\\\\\\rm (x,y) = \dfrac{1}{5+8} *(5*-8 + 8*7 , 5*-9+8*-2)[/tex]

(x,y ) = (1.2 , -4.7)

Therefore Option D is the correct answer.

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Answer:

   [tex]\sqrt[]{4+\frac{1}{25}y }[/tex]

Step-by-step explanation:

Transform - y-25^2=-100

divide

simplify

x plus-minus [tex]\sqrt[]{4+\frac{1}{25}y }[/tex]

Answer:3.5s2

Step-by-step explanation:

because I said so

Answer:

3.5s2

Step-by-step explanation:

because that guy said so and it was right

Answer:

[tex] \sqrt{120} [/tex]

Step-by-step explanation:

√120 is irrational.

Answer:

-15

Step-by-step explanation:

-13-2= -15

(to check:2+ -15= -13)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{2 + [blank] = -13}[/tex]

[tex]\large\textbf{CONVERT TO: }[/tex]

[tex]\mathsf{2 + b = -13}[/tex]

[tex]\mathsf{b + 2 = -13}[/tex]

[tex]\large\textbf{SUBTRACT 2 to BOTH SIDES: }[/tex]

[tex]\mathsf{b + 2 - 2 = -13 - 2}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{b = -13 - 2}[/tex]

[tex]\mathsf{b = -15}[/tex]

[tex]\huge\text{Therefore, the mystery number is: \boxed{\mathsf{-15}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: E.\:\: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: F.\:\:\overline{CD}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

A line with two dots at ends (two ends) represents a line segment.

And it can be represented as :

[tex]\qquad \tt \rightarrow \: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: \overline{CD}[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Here we have.

-3(2x - 5) < 5*(2 - x)

First, we need to isolate x in one side, let's expand both sides:

-6x + 15 < 10 - 5x

15 - 10 < 6x - 5x

5 < x

This will be represented with a number line where we have an open circle at 5, and an arrow that goes to the right. So the correct option is:

"A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right."

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Considering the given scatter-plot, the line of best-fit is given by:

y = 0.77857t + 3.7.

To find the equation, we need to insert the points (t,y) in the calculator.

In this problem, considering the scatter-plot, we have that:

Hence, using the calculator, the equation is:

y = 0.77857t + 3.7.

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The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

These method is used to determine the side and angles of a triangle

From the question given, we have the following parameters

Base of the building = 7feet (Adjacent side)

Height of the building = 18 feet (Opposite side)

Required

angle of elevation of the building

Using the SineOppositeHypotenuse CosineAdjacentHypotenuse TangentOppositeAdjacent identity

tanФ = opp/adj

tanФ = 18/7

Ф = 68.73 degrees

Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

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Answer:

-22.2222222222%

Step-by-step explanation:

-0.4/1.8×100

The sum of the triangular numbers is [tex]\frac{n(n+1)(n+2)}{6}[/tex]

According to the question, the series of triangular numbers is given as in the form of the number of dots constituting the equilateral triangles i.e.
1, 3, 6, 10, 15 . . . . .n

triangular number are the sequence and series of the numbers and each number represents and constitute in visualization of  series of  equilateral triangle.

given series in the figure
1, 3, 6, 10, 15, . . . . . .  ., n
each number represents the number of dots containing in triangle
now the series can be given by
[tex]S = \frac{n(n+1)}{2}[/tex]  for n = 1, 2, 3, 4,. . . . .n
now , according to the question the sum of the series can be given as
⇒  ∑S
⇒   ∑[tex]\frac{n^2+n}{2}[/tex]
⇒  [tex]\frac{1}{2}[\sum n^2+\sum n]\\\frac{1}{2}[\frac{n(n+1)(2n+1)}{6}+\frac{n(n+1)}{2}] \\\frac{n(n+1)}{4}[\frac{(2n+1)}{3}+1] \\\frac{n(n+1)}{4}[\frac{(2n+1+3)}{3}] \\\frac{n(n+1)}{4}[\frac{(2n+4)}{3}] \\\frac{n(n+1)}{4}2[\frac{(n+2)}{3}]\\\frac{n(n+1)(n+2)}{6}[/tex]

Thus, the sum of the triangular number is given by [tex]\frac{n(n+1)(n+2)}{6}[/tex]

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Answer:

it is the number of intigers in the list

Based on the concept of integer and the options available, x does represent the number of 2 integers in the list.

An integer is a mathematical term that is known as the number zero, a positive natural number, or a negative integer with a minus sign.

Generally, Integers the negative numbers are the additive inverses of the corresponding positive numbers.

In this case, it has been mathematically proven that when the sum of a list of integers is divided by the mean of the integers the result x represents the total number of integers in the list.

Hence, in this case, it is concluded that the correct answer is option H. The numbers if integers in the list.

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The x-intercepts and the y-intercepts of the function is that determines the graph is:

The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.

From the given equation:

y = 2|x+3| - 4

To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.

By doing so, the x-intercepts and the y-intercepts of the function is:

Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.

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The equation of volume will be V = [(1/2)t + 4]³. The surface area as a function of time will be A(s) = 3/2 t² + 24t + 96. The number of hours when the surface area equal 294 square inches will be 3 1/2 hours.

Functions are found all across mathematics and are required for the creation of complex relationships.

Part A: The equation that gives the volume at t hours after freezing begins will be

V = s³

V = [(1/2)t + 4]³

Part B: The surface area as a function of time, using composition, and determine its range will be

A(s) = 6(1/2 t + 4)²

A(s) = 6 (t²/4 + 4t + 16)

A(s) = 3/2 t² + 24t + 96

Part C: The number of hours when the surface area equal 294 square inches will be

294 = 6(1/2 t + 4)²

49 = (1/2 t + 4)²

7 = 1/2 t + 4

1/2 t = 3

t = 3 1/2 hours

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Answer:

a. 1/3pi+kpi and 2/3pi+kpi

Step-by-step explanation:

2Sec²x

=2+2tan²x-(tan²x)²=-1

Let tan²x=u

-u²+2u+2=-1

-u²+2u+3=0

u²-2u-3=0

(u+1)(u-3)=0

u=-1,u=3

(tan x)²=-1(No solution)

(tan x)²=3

>>tan x=±sqrt(3)

I) tan x=sqrt(3)

>>tan(pi/3)=sqrt 3

Tan(pi+A) =tanA

Tan(pi+pi/3)=tan(pi/3)

>>tan(4/3pi)=sqrt(3)

>>x=4/3pi and 1/3pi

General solution: 1/3pi+kpi

ii) tan x=-sqrt(3)

x=2/3pi(At 2nd quadrant)

x=5/3pi(at 4th quadrant)

General solution: 2/3pi+kpi