Let f(x) = -­2x ­- 7 and g(x) = ­-4x + 3. Find (fog)(-­5)

Answer:

Part 1) The inscribed angle is the angle ∠TRS and the intercept arc is the arc LST

Part 2) The inscribed angle is the angle ∠YWX and the intercept arc is the minor arc XY

Part 3) The inscribed angle is the angle ∠YXZ and the intercept arc is the arc YBZ

Part 4) The figure does not show an inscribed angle

Step-by-step explanation:

Part 1) The figure shown a inscribed angle

The inscribed angle is the angle ∠TRS

The intercept arc is the arc LST

Remember that

The inscribed angle measures half that of the arc comprising

so

∠TRS=(1/2)[arc LST]

Part 2) The figure shown a inscribed angle

The inscribed angle is the angle ∠YWX

The intercept arc is the minor arc XY

Remember that

The inscribed angle measures half that of the arc comprising

so

∠YWX=(1/2)[minor arc XY]

Part 3) The figure shown a inscribed angle

The inscribed angle is the angle ∠YXZ

The intercept arc is the arc YBZ

Remember that

The inscribed angle measures half that of the arc comprising

so

∠YXZ=(1/2)[arc YBZ]

Part 4) The figure does not show an inscribed angle

The figure shown a interior angle ∠BAC

let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm what is the slope of line S anyway?

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-7}{6-2}\implies \cfrac{-6}{4}\implies -\cfrac{3}{2} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{3}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{3}}}[/tex]

so, we're really looking for the equation of a line whose slope is 2/3 and runs through (5,2)

[tex]\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{2})~\hspace{10em} slope = m\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=\cfrac{2}{3}(x-5)\implies y-2=\cfrac{2}{3}x-\cfrac{10}{3} \\\\\\ y=\cfrac{2}{3}x-\cfrac{10}{3}+2\implies y=\cfrac{2}{3}x-\cfrac{4}{3}[/tex]

To find the volume of a rectangular prism, we use the formula

Volume = length × width × height.

Since the rectangular prism has a length of 4 m, a width of 2 m, and a height of 1 m we can plug this information into the formula.

(4 m) (2 m) (1 m)

4 m × 2 m = 8 m

8 m × 1 m = 8 m³

Therefore, the volume of the rectangular prism is 8 m³.

Answer:

8

Step-by-step explanation:

L=Length

W=Width

H=Height

L=4

W=2

H=1

4 x 2 x 1

4 x 2 = 8

8 x 1 = 8

Rearranging to check my work:

1 x 4 x 2

1 x 4 = 4

4 x 2 = 8

I was right.

Hope this answers your question.

The correct answer is B. 4/5. Hope this helps! : )

Answer:

1/5

Step-by-step explanation:

it said so in usa testprep and i hope this helps you! ^-^

Answer:

5(pi) (exactly) or 15.7 (approximately)

Step-by-step explanation:

The length of arc of an entire circle is the circumference of the circle.

The length of arc of a semicircle circle is half of the circumference of the circle.

C = pi * d

For a semicircle:

arc length = 0.5 * pi * d

arc length = 0.5 * pi * 10

arc length = 5(pi)

arc length = 15.7

The linear equation -3y=x-6 can be graphed using the slope-intercept form y = -1/3x + 2. By choosing different values for x and solving for y, we can find three points that solve the equation. Plotting these points on a graph and connecting them with a line represents the linear equation.

The linear equation -3y=x-6 can be rewritten in slope-intercept form as y = -1/3x + 2. This form allows us to easily determine the slope and y-intercept of the equation. The slope is -1/3, which means for every increase of 1 in x, y decreases by 1/3. The y-intercept is 2, which indicates that the line crosses the y-axis at the point (0, 2).

To find three points that solve the equation, we can choose different values for x and substitute them into the equation to solve for y. Let's choose x = 0, x = 3, and x = -3. Plugging these values into the equation, we get y = 2, y = 1, and y = 3, respectively.

Therefore, the three points that solve the equation are (0, 2), (3, 1), and (-3, 3). When we plot these points on a graph, we can then connect them with a straight line to represent the linear equation.

Answer: Option D.

Step-by-step explanation:

You need to remember that the circumference of a circle can be calculated with this formula:

[tex]C=2\pi r[/tex]

Where "r" is the radius of the circle and [tex]\pi =3.14[/tex]

In this case the distance 150 feet (From the edge of the track to the center of the circle) is the radius.

Since she walks her horse 4 times around the track, you need to multiply the circumference by 4 to calculate the approximate number of feet that she and her horse will travel:

 [tex]C=4[2(3.14)(150ft)]=3,768ft[/tex]

Answer:

6*2/3 = 12/3 = 4

Step-by-step explanation:

For this case we have a total of 6 cups of berries and per serving of salad we use [tex]\frac {2} {3}[/tex]of cups.

Let "x" be the variable that represents the portions of fruit salad that can be made, then, to find it we divide the number of cups of berries among the amount that is used for a portion:

[tex]x = \frac {6} {\frac {2} {3}} = \frac {6 * 3} {2 * 1} = \frac {18} {2} = 9[/tex]

Thus, 9 portions of salad can be prepared.

Answer:

9 portions

Answer:

2205

3570

LCM = 74970

1100

1576

GCF = 4

1100

1576

LCM = 433400

456

4680

GCF = 24

456

4680

LCM = 88920

Step-by-step explanation:

18837429928373829193

Answer:

$5

Step-by-step explanation:

Answer:

the answer is 5$

Step-by-step explanation:

Answer:

y=3.11x

Step-by-step explanation:

Not sure if it's correct. But my reasoning behind it is that 23.81-20.70=3.11 which means every year the cost goes up by $3.11

Answer:

Can't really show a graph but I'll explain how to:

Step-by-step explanation:

Plot the point (0,-2) since -2 is the y=intercept. After, just count-down 1 unit and count 5 units to the right. I hoped this helped!

Answer: $25

Step-by-step explanation: 2/3 of $300 is $200. 1/4 of $300 is $75. The total money she used is $275. $300-$275= $25.

Answer:

$75

Step-by-step explanation:

2/3 of 300 is 200 which means $100 bucks is left and 1/4 on food is $25 so what is left over is $75

Answer:

0

Step-by-step explanation:

= 7 - 1- 6

= 6 - 6

=0

To evaluate the expression 1/3m - 1 - 1/2n with m=21 and n=12, you perform a series of arithmetic operations, resulting in an evaluated expression of 0.

To evaluate the expression 1/3m - 1 - 1/2n when m=21 and n=12, we substitute the given values of m and n into the expression.

Answer:

3.)

Step-by-step explanation:

Answer:

option B

(−1, 0) and (0, 6)

Step-by-step explanation:

Given in the question two equations,

Equation 1

y =−x² + 5x + 6

Equation 2

−6x + y = 6

plug value of y in second equation

−6x −x² + 5x + 6 = 6

-x² -6x + 5x +6 - 6 = 0

-x² - x + 0 = 0

-x² -x = 0

-x(x+1) = 0

x = 0

and

x = -1

plug value of x in second equation to find y

x = 0

−6(0) + y = 6

 0 + y = 6

 y = 6

 and

x = -1

−6(-1) + y = 6

6 + y = 6

y = 0

Answer:

(−1, 0) and (0, 6)

Step-by-step explanation:

The given system of equations is

[tex]y=-x^2+5x+6[/tex]

and

[tex]-6x+y=6[/tex]

Solve for y in this second equation

[tex]y=6x+6[/tex]

We equate the two equations to get;

[tex]-x^2+5x+6=6x+6[/tex]

[tex]x^2+x=0[/tex]

[tex]x(x+1)=0[/tex]

x=0,x=-1

When x=0,

y=6(0)+6

y=6

When x=-1

y=6(-1)+6

y=0

Answer:a squared-b squared

Step-by-step explanation:

Answer:

[tex](a+b)(a-b)=a^{2} -b^{2}[/tex]

Step-by-step explanation:

This is a example of remarkable identities.

We know that the result of multiplication is called product and the values ​​that multiply are called factors.

We call remarkable identities to certain algebraic expressions with binomial products very frequent in the calculation.

For this example, we got a Product of the sum for the difference of two binomials.

[tex](a+b)(a-b)[/tex]

The product of the sum for the difference of two binomials is equal to the square of the first quantity, minus the square of the second.

[tex](a+b)(a-b)=a^{2} -b^{2}[/tex]

Demostration:

[tex](a+b)(a-b)= a^{2} -ab+ab-b^{2}=a^{2} -b^{2}[/tex]

.

18² is the same as saying 18 * 18, which is 324

Answer:

8

Step-by-step explanation:

If you cut one apple pie in half, then you have two halves. Do the same with the other 3 pies and you will have 8 halves of the pie to give to neighbors.

Answer:

A = 12.5 units ^2

Step-by-step explanation:

This figure is a trapezoid

The area of a trapezoid is given by

A = 1/2 (b1+b2) * h  where b1 and b2 are the lengths of  the bases and h is the height

b1 = 7.5 and b2 = 2.5  and h = 2.5

A = 1/2( 7.5 + 2.5) * 2.5

A = 1/2(10) * 2.5

A = 12.5

2.5x2.5=6.25

7.5-2.5=5/2=2.5

(1/2)x2.5x2.5=3.125x2=6.25

6.25+6.25=12.5

The answer is: 12.5 units^2

Answer:

(7x-1)(x-3)

Step-by-step explanation:

7x^2 - 22x + 3

The factors have to add to -22, but multiply to equal 3. But since the "a" value has a number on it, you have to use it too.

(7x +/- [n1]) ( x +/- [n2]) = 7x^2 - 22x + 3

Since the two numbers multiply to a positive value, they have to have the same sign. (7x-1) (x-3) works to produce the expression when it's foiled.

Answer:

(7x-1)(x-3)

Look in the photos. I hope this helps!

Let me know if you're unsure about anything! Thanks! :)

Answer:

m = 33*g.

Step-by-step explanation:

The consumption of gas = 396 / 12

= 33 miles / gallon.

m = 33*g (answer).

Answer:

Step-by-step explanation:

If it's parallel, that means it has the same slope: -1/5.

Use point-slope form to write the equation:

y - 4 = -1/5 (x - 7)

If you wish to write in point-intercept form:

y - 4 = -1/5 x + 7/5

y = -1/5 x + 27/5

If two lines are parallel, it means that they will have the same gradient:

And remember, the equation of a line is y = mx +c

-----------------------------------

So we know that the equation of the parallel line is:

y = - [tex]\frac{1}{5}[/tex]x + c        through point (7, 4)

All we need to do now is to work out what c is

Note: at point (7, 4)  x = 7 , and y = 4.

So to work out c, we substitute in the values of x and y, and solve:

y = - [tex]\frac{1}{5}[/tex]x + c

4 = - [tex]\frac{1}{5}[/tex] * 7 + c

4 = -1.4 + c

5.4 = c

----------------------------------

Finally, we just put the value of c back into the original equation

y = - [tex]\frac{1}{5}[/tex]x + 5.4

------------------------------------------

Answer:

The equation of the a line parallel to y = - [tex]\frac{1}{5}[/tex]x + 3    through point (7,4)

is: y = - [tex]\frac{1}{5}[/tex]x + 5.4

Answer:

In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Step-by-step explanation:

Answer:

The width of the drawer is [tex]15\ in[/tex]

Step-by-step explanation:

we know that

The volume of the drawer is equal to

[tex]V=LWH[/tex]

we have

[tex]L=15\ in[/tex]

[tex]H=5\ in[/tex] -----> the deep of the drawer

[tex]V=1,125\ in^{3}[/tex]

substitute the given values in the formula and solve for W

[tex]1,125=(15)(W)(5)[/tex]

[tex]1,125=(75)(W)[/tex]

[tex]W=1,125/(75)[/tex]

[tex]W=15\ in[/tex]

I mean... I think it's a reasonable guess because not gonna lie- chips can get expensive. BUT- It doesn't really make sense because like, she bought so many lollipops. My brain isn't really functioning to do the math- but my best guess would beeeee... UNreasonble. I'm super super sorry if it's wrong. Math isn't my strong point, sorry. Have a nice day!

Answer:

no

Step-by-step explanation:

because 20×.25 = 5 so the lollipop cost $5.00 and then you only have 3.20 left over

Answer

0

Solution

6x+6x=12-12

12x=0

X=0

Answer:

92°

Step-by-step explanation:

The supplementary relationship between angles 2 and 3 means lines a and b are parallel. Since those lines are parallel, corresponding angles 1 and 4 are congruent.

m∠1 = m∠4 = 92°

Answer:

It should be  B I me

Step-by-step explanation:

To determine which percentage is higher, we need to calculate the percentage of boys who prefer green and the percentage of girls who prefer red.

Percentage of boys who prefer green:

Total number of boys = 2 + 4 + 4 + 5 = 15

Number of boys who prefer green = 5

Percentage of boys who prefer green = (5/15) x 100% = 33.33% (rounded to the nearest whole number, this is 33%)

Percentage of girls who prefer red:

Total number of girls = 4 + 3 + 1 + 3 = 11

Number of girls who prefer red = 4

Percentage of girls who prefer red = (4/11) x 100% = 36.36% (rounded to the nearest whole number, this is 36%)

Therefore, the percentage of girls who prefer red (36%) is higher than the percentage of boys who prefer green (33%).

The answer is B. At 36%, the percentage of girls who prefer red is higher.

Answer:

8cm

Step-by-step explanation

In between AE and DE