For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5

Answer:

(1.5,0)

Step-by-step explanation:

midpoint coordinate (x+x1/2  , y+y1/2)

x+x1=7-4/2=3/2=1.5

y+y1/2 = 2-2/2=0

Answer: A.  [tex]h(x)=16x^2-50x+38[/tex]

Step-by-step explanation:

Given: Francesca graphs the function  [tex]f(x) =2x - 3[/tex], George graphs the function [tex]g(x) = 4x^2 -x - 1[/tex].

Harold graphs the function [tex]h(x) = g(f(x))[/tex].

i.e. [tex]h(x)=g(2x - 3)[/tex]  [put value of f(x)]

[tex]=4(2x-3)^2-(2x-3)-1\\\\= 4((2x)^2-2(2x)(3)+3^2)-2x+3-1\ \ [(a-b)^2=a^2-2ab+b^2]\\\\= 4(4x^2-12x+9)-2x+2\\\\=16x^2-48x+36-2x+2\\\\=16x^2-50x+38[/tex]

So, Harold graph [tex]h(x)=16x^2-50x+38[/tex]

Hence, the correct option is A.  [tex]h(x)=16x^2-50x+38[/tex]

Answer:

3 meters

Step-by-step explanation:

Step 1: State what is known

Volume of cube is 27 cubic meters

Important formula: Volume of cube = [tex]l^{3}[/tex]

Step 2: Input value into formula and solve for "l"

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

Therefore the length of 1 edge of the cube is  meters

Length of each edge of cube is 3 metres.

What is the volume of cube?

The volume of a cube defines the number of cubic units, occupied by the cube completely. The volume of cube is found by multiplying the value of the edge with itself three times that is a³.

It is given that volume of cube is 27 cubic metres.

a³ = 27

a = ∛27

a = 3

Hence, length of each side of cube is 3 metres.

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Answer:

3 bags cost $8.25

Step-by-step explanation:

Proportions:

6 bags  ⇔   $16.50

3 bags   ⇔   $B

B = 16.5*3/6

B = $8.25

Answer:

Step-by-step explanation:

8.25

Answer:

Step-by-step explanation:

[tex]f(x)=-x-11\\\\\frac{f(9)}{f(-6)}\\\\ f(9)= -9-11\\- 20\\\\f(-6) = -(-6)-11\\= 6-11 = -5\\\\\\\frac{f(9)}{f(-6)}\\ \\= \frac{-20}{-5}\\ \\= 4[/tex]

Answer:

4

Step-by-step explanation:

This means that where ever you see x in the function; f(x)= -x-11, you replace it with 9 for the numerator and -6 for the Denominator

=-(9)-11/-(-6)-11

=-9-11÷6-11

=-20÷-5

=4

Answer:

B

Step-by-step explanation:

It is B because every number, x, you plug in 5x-3, it is y.

Answer:

B

Step-by-step explanation:

If we plug in x = 5 because every chart has x = 5 as a different answer into the equation you will find it equals 22 and only B has 22 as the answer

Answer:

[tex](-\frac{3}{22},\frac{185}{22} )[/tex]

Step-by-step explanation:

Step 1: Find out what the question is asking

Because we want the point to be equidistant to all the vertices of the triangle formed we want the circumcenter of the triangle as it is equidistant from all of the vertices, a circumcenter is made from the perpendicular bisectors of the triangle

Step 2: Give the vertices variables

A = (-4,8)

B = (-1,-1)

C = (3,7)

Step 2: Find the Circumcenter

Find the mid point of side AB

MAB

[tex]=(\frac{-4+(-1)}{2} ,\frac{8+(-1)}{2} )\\=(\frac{3}{2},\frac{7}{2} )[/tex]

Find the slope of side AB

mAB

[tex]=\frac{y2-y1}{x2-x1} \\=\frac{8-(-1)}{-4-(-1)} \\=\frac{9}{-3}\\ =-3[/tex]

Solve for 'b'

[tex](\frac{7}{2})=(-3)(\frac{3}{2} ) +b\\\frac{7}{2}=-\frac{9}{2}+b\\\frac{7}{2}+ \frac{9}{2}=b\\b = 8[/tex]

Therefore the equation for line AB is:

y = -3x + 8

Find the midpoint of side AC

MAC

[tex]=(\frac{-4+(3)}{2} ,\frac{8+(7)}{2} )\\=(-\frac{1}{2},\frac{15}{2} )[/tex]

Find slope of AC

mAC

[tex]=\frac{y2-y1}{x2-x1} \\=\frac{8-7}{-4-3} \\=\frac{1}{-7}\\ =-\frac{1}{7}[/tex]

Solve for 'b'

[tex]y=mx+b\\\frac{15}{2} =-\frac{1}{7} (-\frac{1}{2} )+b\\\frac{15}{2} =-\frac{1}{14} +b\\\frac{1}{14}+\frac{15}{2} = b\\b=\frac{53}{7}[/tex]

Therefore the equation for line AC is:

y = [tex]-\frac{1}{7}[/tex]x+[tex]\frac{53}{7}[/tex]

Step 3: Find the P.O.I of the 2 lines

Set both of the equation equal to each other

[tex]3x + 8=-\frac{1}{7} x+\frac{53}{7} \\3x +\frac{1}{7} x=\frac{53}{7}-8\\\frac{22}{7} x=-\frac{3}{7} \\x=-\frac{3}{22}[/tex]

We now know 'x' and we substitute x into any equation to find 'y'

[tex]y = -3(-\frac{3}{22} ) + 8\\y = \frac{9}{22} + 8\\y = \frac{185}{22}[/tex]

Therefore the new firehouse should be built at [tex](-\frac{3}{22},\frac{185}{22} )[/tex]

Answer:

B. 1995

Step-by-step explanation:

As per the graph the lowest production was in 1995, the production figure was around 203 billion dollars

So the answer choice is B. 1995

Answer:

a(n)= 4*n+1

a(n+1)=5+4*n

Step-by-step explanation:

The sequence   5, 9, 13, 17 is the ariphmetic progression where a(1)=5 is the first member of the progression and the diference is d=9-5=4 (the distance between the neighboring members)

For ariphmetic progression is known that n- term is equal to

a(n)=a(1)+d*(n-1)

So for our case

a(n)=5+4(n-1)=5+4n-4=4n+1

a(n+1)= 5+4(n+1-1)= 5+4n

Answer:

Least: 1 hour

Maximum: 5 hours

Step-by-step explanation:

Given

Boat hourly rate = $8.00

Paddle daily rate = $5.00

Required

Determine the least hour, David could use the boat

First, we need to represent this as an inequality.

Since David has $45, then

[tex]\$8.00 * x + \$5.00 \leq \$45.00[/tex]

Where x represents the number of hours

Collect Like Terms

[tex]\$8.00 * x \leq \$45.00 - \$5.00[/tex]

[tex]\$8.00 * x \leq \$40.00[/tex]

Divide both sides by $8.00

[tex]x \leq \frac{\$40.00}{\$8.00}[/tex]

[tex]x \leq 5[/tex]

Hence, the least number of hour is 1 hour while the maximum is 5 hours

Answer:

abscissa of origin is 0.

Step-by-step explanation:

The abscissa of a point is the signed measure of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before negative; after: positive).

Answer:

√119 = 10.908712114636

Answer:

-5|-7|

Step-by-step explanation:

[tex]-\left|-5\left(-7\right)\right|\\\\\mathbf{missing\:stepId}=\\\\Refine\:Abs\:Checked\:3Eq,\:\\\\|ax|=a|x|,\:a\ge 0,\:-\left|-7\right|\\=-5\left|-7\right|[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{-35}}[/tex]

Step-by-step explanation:

[tex]\Rightarrow -|-5* (-7)|[/tex]

Multiplying the terms in the absolute value.

[tex]\Rightarrow -|35|[/tex]

The absolute value of a number is the distance between that number and zero.

The absolute value of 35 is 35.

[tex]\Rightarrow -35[/tex]

Answer:

south america and north america

Step-by-step explanation:

Answer:

Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {},

For example, A = {1,2,3,4} is a set.

Answer:

  y +2 = 4(x -3)

Step-by-step explanation:

Point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For m = 4 and (h, k) = (3, -2), the equation is ...

  y +2 = 4(x -3) . . . . . matches the first choice

Answer:

12

Step-by-step explanation:

2x - 6 = ?

x = 9

You substitute x for 9: the value of x.

2(9) - 6 = ?

2 * 9 = 18

18 - 6 = 12

So your answer is 12.

Hope it helps : )

Brainliest pleaseeee

Answer:

4

Step-by-step explanation:

First, solve in the brackets,

-3+(-1)

-3-1

-4

Since it is absolute value, take the minus sign away,

therefore the answer is 4

In the equation 40+70+?=360, they are trying to find the last angle.

First they would add 40 and 70, which is 110.

So 110+?=360

360-110=?

360-110=250

Well this is wrong, because every angle in a triangle adds up to 180 degrees.

If you are adding up the angles in a quadrilateral, only then it adds up to 360 degrees.

So they did everything right, but they didn't use the right "total degrees"

This is what it was supposed to look like.

40+70+?=180

110+?=180

180-110=?

180-110=70

?=70

♡ Hope this helped! ♡

♡ Also thank you so much for 31 points. ♡

✿ Brainiest is appreciated! ✿

❀ 0ranges ❀

Answer:B. y=0.5x+0.3

Step-by-step explanation:a. p. e. x.

The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation thus option (B) is correct.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given points,

Let's take two-point (1,1)  and (2,1.5)

The slope associated with the above points will be as,

(1.5 - 1)/(2 - 1) = 0.5

Thus, the line will be y = 0.5x + 0.3

Hence "The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation".

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Answer:

y + 6 = - 2(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y + b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 2 and (a, b) = (4, - 6) , thus

y - (- 6) = - 2(x - 4) , that is

y + 6 = - 2(x - 4)

★ Given :

[tex]\begin{lgathered}\bullet\:\:\textsf{Radius of circle = \textbf{7 meter}}\end{lgathered}[/tex]

[tex]\rule{130}1[/tex]

★ Digram :

[tex]\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{7 m}}\end{picture}[/tex]

[tex]\rule{130}1[/tex]

★ Solution :

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]

[tex]:\implies\sf Area\:of\:circle = \pi r^2 \\\\\\:\implies\sf Area\:of\:circle = \dfrac{22}{\cancel{7}} \times \cancel{7} \times 7\\\\\\:\implies\sf Area\:of\:circle = 22 \times 7\\\\\\:\implies\sf Area\:of\:circle = 154 m^{2}[/tex]

⠀

[tex]\therefore\:\underline{\textsf{Area of circle is \textbf{154}} \:\sf{m^2}}.[/tex]

[tex]\rule{170}{2}[/tex]

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1/3

d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6

Substitute the values into the above formula

That's

So the nth term of the sequence is

For a50 since we are finding the 50th term

n = 50

So we have

We have the final answer as

Hope this helps you

Answer:

Flour need for 1 cup of water = [tex]1\frac{7}{8}[/tex] cups

Step-by-step explanation:

Given:

Cups of water = [tex]1\frac{1}{3}[/tex] = 4/3

Cups of flour = [tex]2\frac{1}{2}[/tex] = 5/2

Find:

Flour need for 1 cup of water

Computation:

Flour need for 1 cup of water = Cups of flour / Cups of water

Flour need for 1 cup of water = (5/2) / (4/3)

Flour need for 1 cup of water = 15/8

Flour need for 1 cup of water = [tex]1\frac{7}{8}[/tex]

Answer:

20 is the correct answer

Step-by-step explanation:

you're welcome :)

Answer:

i hope it will work

Step-by-step explanation:

f(x) = -5 x^2 + 2 x + 9

f(1)=-5(1)^2 +2(1) +9 = 6

similarly

f(2)=-5(2)^2 +2(2) +9  = -7

if its help-full then hit the stars and brain-list it

thanks

Answer:

Hey there!

p(x)=x+30

p(13)=13+30

p(13)=43

5(43)=215

Let me know if this helps :)