The function a represents the cost of manufacturing product a, in hundreds of dollars, and the function b represents the cost of manufacturing product b, in hundreds of dollars

Answer:

48 miles.

Step-by-step explanation:

Her average speed was 12 miles per hour. She traveled for 4 hours. We can set up a proportion that shows that she traveled 12 miles over 1 hour, so she traveled x miles over 4 hours.

[tex]\frac{12}{1} =\frac{x}{4}[/tex]

1 * x = 12 * 4

x = 48

So, the cyclist traveled 48 miles.

Hope this helps!

Answer: 48 miles

Explanation: Well obviously if you've been on the road for 4 hours and you're traveling at 12 miles per hour, you end up going 48 miles.

Mathematically speaking we get that

by multiplying 12 × 4 to equal 48.

This 12 represents our rate.

This 4 represents the number of hours or our time.

The 48 represents the 48 miles or our distance we've travelled.

So our rate × time = distance.

This formula is a very popular one in algebra.

Answer:

C. 12,000≤715m+645

Step-by-step explanation:

You want to have either equal to or more than 12,000

Answecr:

C

Step-by-step explanation:

Answer:

the slope of the perpendicular bisector is -2/3

Step-by-step explanation:

The slope of the line joining the two points P1(0,3), P2(6,12) is given by

m1 = (y2-y1) / (x2-x1) = (12-3) / (6-0) = 9/6 = 1.5

The slope m2 of a line perpendicular to the previous line is given by

m1*m2 = -1

solving

m2 = -1/m1 = -1/ (3/2) = -2/3

THerefore the slope of the perpendicular bisector is -2/3

Answer:

B

Step-by-step explanation:

Here, we want to know at what values of b does the equation becomes not solvable

Now looking at the left hand side, we have;

2/(3-5bx) and also the right hand side bx + 1/3

For this expression if we insert b = 0, then automatically x cancels out on both sides of the equation and we shall be left with nothing to solve

Answer:

−5

Step-by-step explanation:

First, we observe that this is a linear equation.

A linear equation in one variable will have no solutions if the equation reduces to an equation of the form:

\blue a x+\red b=\blue c x + \red dax+b=cx+dstart color #6495ed, a, end color #6495ed, x, plus, start color #df0030, b, end color #df0030, equals, start color #6495ed, c, end color #6495ed, x, plus, start color #df0030, d, end color #df0030

where \blue a=\blue ca=cstart color #6495ed, a, end color #6495ed, equals, start color #6495ed, c, end color #6495ed and \red b\neq \red db



​

=dstart color #df0030, b, end color #df0030, does not equal, start color #df0030, d, end color #df0030.

In this case, the equation will reduce to the statement \red b=\red db=dstart color #df0030, b, end color #df0030, equals, start color #df0030, d, end color #df0030, which is not true for any value of xxx.

Hint #2

Since \red {\dfrac23}\neq \red {\dfrac13}

3

2

​



​

=

3

1

​

start color #df0030, start fraction, 2, divided by, 3, end fraction, end color #df0030, does not equal, start color #df0030, start fraction, 1, divided by, 3, end fraction, end color #df0030 , the equation will have no solutions if \blue b=\blue {-5}b=−5start color #6495ed, b, end color #6495ed, equals, start color #6495ed, minus, 5, end color #6495ed.

Let's check that this is the case. If we add \blue {5}{x}5xstart color #6495ed, 5, end color #6495ed, x to both sides, we get

\begin{aligned} \red{\dfrac23}\blue{-5}x&= \blue{-5} x+\red{\dfrac13}\\\\ \red{\dfrac23}\blue{-5}x+\blue5x&= \blue{-5}x+\blue{-5}x+\red{\dfrac13} \\\\ \red{\dfrac23}&=\red{\dfrac13} \end{aligned}

3

2

​

−5x

3

2

​

−5x+5x

3

2

​

​

=−5x+

3

1

​

=−5x+−5x+

3

1

​

=

3

1

​

​

which is not true for any value of xxx, so there are no solutions.

For all other values of b,b,b, comma there will be one solution.

Hint #3

If b=-5b=−5b, equals, minus, 5, the equation will have no solutions.

Explanation:

Triangles HIG and FED are similar triangles. We know this because we have two pairs of angles that are congruent (angle G = angle D; angle I = angle E). Use the AA (angle angle) similarity theorem.

Since angles G and D are congruent, computing sin(D) is equivalent to finding sin(G)

sin(angle) = opposite/hypotenuse

sin(G) = IH/HG

sin(G) = 77/85

sin(D) = 77/85

Answer:

Explained below.

Step-by-step explanation:

(A)

The p-value is well defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.

The p-value of the test was, p = 0.3822.

That is the probability that Remedy B has a greater salvage rate than A is 0.3822, given that rates are the same for Remedy A and B.

(B)

The significance level of the test is: α = 0.05.

A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀. A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

The p-value of the test is very large. The null hypothesis will not be rejected.

Concluding that salvage rates are the same for Remedy A and B.

(C)

A type II error is a statistical word used within the circumstance of hypothesis testing that defines the error that take place when one is unsuccessful to discard a null hypothesis that is truly false.

In this case a type II error could have been made as the null hypothesis was not rejected.

The type II error could have been made because of the following reasons:

As the sample selected is quite large, the only potential consequence of this error is that the significance level of the test must be small.

Step-by-step explanation:

V= π*r²*h

V/π = r²*h

v/(π*r²) = h

[tex]\frac{x+y}{3}[/tex] = 5

x+y = 15

x = 15-y

Answer:

Solution,

[tex]5 \frac{3}{4} \div 1 \frac{1}{2} [/tex]

Convert the mixed number to an improper fraction

[tex] \frac{23}{4} \div \frac{3}{2} [/tex]

To divide by a fraction, multiply by the reciprocal of that fraction

[tex] \frac{23}{4} \times \frac{2}{3} [/tex]

Reduce the numbers with the GCF 2

[tex] \frac{23}{2} \times \frac{1}{3} [/tex]

Multiply the fraction

[tex] \frac{23}{6} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

second option

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( where r is the radius )

Here r = 6 , thus

V = [tex]\frac{4}{3}[/tex]π(6)³

Answer:

Second option

Step-by-step explanation:

Volume of a sphere =  [tex]\frac{4}{3}*\pi *r^{3}[/tex]

→ Substitute in the value of radius

Volume of a sphere =  [tex]\frac{4}{3}*\pi *6^{3}[/tex]

Answer:

21

Step-by-step explanation:

[tex] \frac{25}{100} \times 84[/tex]

Answer:

21

Step-by-step explanation:

Answer:

6-3/0-(-4)

=3/4

Step-by-step explanation:

Given two points of a line to find the slope, we use the formula.y2-y1/x2-x1 hence the answer above. Our xs are x2=0 x=-4 y2=6 y1=3

Answer:

A. Net

Step-by-step explanation:

Answer:

a. net

Step-by-step explanation:

The net of a 3D shape is how it looks unfolded. A net can easily be put back together.

Hope this helps! :)

Answer:

Hey there!

25(10+50)-25

25(60)-25

1500-25

1475

Hope this helps :)

Answer:

The answer is

Step-by-step explanation:

25 (10 + 50) - 25

Expand

250 + 1250 - 25

Simplify

We have the final answer as

1475

Hope this helps you

To reflect a function across the x axis, we just stick a negative in front. This will make all point's y coordinates to go from positive to negative or vice versa. If the original function already has a negative out front, then remove it.

Answer:

d. x=-5

Step-by-step explanation:

For the x intersect, f(x) needs to be 0.

Then the numerator must be zero (and the denominator may not be zero!).

For x+5 to be zero, x must be -5.

Answer:

0.5

Step-by-step explanation:

Let D be the event of selecting a marble with dots.

Let P be the event of selecting a purple marble.

The probability of selecting a marble with dots, P(D)=0.2

The probability of selecting a marble that is both purple and has dots, [tex]P(D \cap P)=0.1[/tex]

We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)

By the definition of conditional probability:

[tex]P(P|D)= \dfrac{P(P \cap D)}{P(D)} \\= \dfrac{0.1}{0.2}\\ =0.5[/tex]

The probability of selecting a purple marble given that the marble has dots on it is 0.5.

The solution is ΔFHE ≅ ΔGEH. [SAS], i.e. triangle FHE is similar to triangle GEH, by SAS rule.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Given: An Isosceles trapezoid EFGH in which EF =GH

To prove: ΔFHE ≅ ΔGEH

Proof: In Isosceles trapezoid EFGH, Considering two triangles ΔFHE and ΔGEH

 1. FE ≅ G H   → [ Given]

 2. ∠H = ∠E

→ Draw GM⊥HE and FN ⊥EH, and In Δ GMH and ΔFNE,

                         GH=FE [Given]

         ∠M+∠N=180°

so, GM║FN and GF║EH, So GFMN is a rectangle.]

∴ GM =FN [opposite sides of rectangle]

∠GMH = ∠FNE [ Each being 90°]

Δ GMH ≅ ΔFNE  [ Right hand side congruency]

→∠H =∠E [CPCT]

→ Side EH is common i.e  EH ≅ EH .

→ΔFHE ≅ ΔGEH. [SAS]

To learn more on triangle click:

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Answer:

1 and 3

Step-by-step explanation:

The lines 1 and 3 divide the shape into 2 identical parts so they are axes of symmetry

The line of symmetry for the given figure is 1 and 3.

We need to find the line of symmetry for the given figure.

Line symmetry is a type of symmetry where one-half of the object reflects the other half of the object across the line.

In the given figure we can see line 1 and 3 divides the figure into two halves.

Therefore, the line of symmetry for the given figure is 1 and 3.

To learn more about the line of symmetry visit:

https://brainly.com/question/1597409.

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Answer:

c/3, the sequence is NOT geometric because 2/3 was added to each term to get the next term.

Step-by-step explanation:

geometric sequences are multiplying, arithmetic sequences are addition.

1/3

1/3+2/3= 1 (or 3/3)

3/3+2/3= 5/3

5/3+2/3= 7/3

this is arithmetic, not geometric

Answer:

[tex]3\sqrt{17}$ or \approx 12.37$ Units[/tex]

Step-by-step explanation:

In the attached diagram

CA=CO+OA

CO=DB

Therefore:

5=2+OA

OA=3 Units

The angle between a tangent line and a radius is 90 degrees. therefore triangle OAB is a right triangle with:

OB=12 units

OA=3 units

Using Pythagoras theorem

[tex]AB=\sqrt{3^2+12^2}\\ =\sqrt{153}\\=3\sqrt{17}$ or \approx 12.37$ Units[/tex]

Answer:

2x^2+x-1/x^2-1

x^2+11x+18/x^2-11x+18

2x^2-5x+3/x^2+4x+3

Step-by-step explanation:

1.2 and 5

Answer:

Step-by-step explanation:

I don't say you must have to mark my and as brainliest but if it has really helped you plz don't forget to thank me....

Answer:

Solution,

Diameter(D)= 9.2 cm

Radius(r)= 9.2/2=4.6 cm

Now,

Circumference of circle:

[tex]2\pi \: r \\ = 2 \times \frac{22}{7} \times 4.6 \\ = 28.91 \: \: cm[/tex]

Hope this helps..

Good luck on your assignment..

Answer:1/4

Step-by-step explanation:

Each term is multiplied by 1/4 to get to the next

Therefore 1/4 is the common ratio

The equation to a line parallel to the line on the graph that passes through (4,15) is y = 3x + 3

The equation of a line can be represented as follows;

y = mx + b

where

Therefore,

parallel line have the same slope

(5, 35)(10, 50)

m = 50 - 35 / 10 - 5 = 15 / 5 = 3

Hence,

(4, 15)

y = 3x + b

15 = 3(4) + b

15 - 12 = b

b = 3

Therefore, the equation to a line parallel to the line on the graph that passes through (4,15) is y = 3x + 3

learn more on equation of a line here: https://brainly.com/question/19043210

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Answer:

AB║CD and AD║BC

Step-by-step explanation:

By the property of a parallelogram,

" Consecutive angles of a parallelogram are supplementary"

In the figure attached,

∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.

[Given: m(∠DCB) + m(∠CDA) = 180°]

And the pair of opposite sides of the parallelogram ABCD will be parallel.

AD║BC and AB║CD

Answer:

The third number is 195-3x

Step-by-step explanation:

Given:

sum of three numbers, a, b, c is 180.

a=2x-11

b=x-4

c= ?

Solution:

a+b+c = 180

2x-11 + x-4 + c = 180

c = 180 - (2x-11) - (x-4)

= 180 -2x+11 - x+4

= 180 + 11 + 4 -2x -x

= 195 -3x

Answer:

D

Step-by-step explanation:

Steps to solve:

47.5 + 4.5x ≤ 65

~Subtract 47.5 to both sides

4.5x ≤ 17.5

~Divide 4.5 to both sides

x ≤ 3.8888888889...

So, yes, the friends will have to share snacks.

Best of Luck!

Answer:

Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie ticket costs $9.50, and each snack item costs $4.50. How many snacks can they buy to split among them?

This problem is modeled by the inequality 5(9.5) + 4.5x ≤ 65, which is equal to 47.5 + 4.5x ≤ 65.

The first step in solving the inequality is to

✔ subtract 47.5 from both sides

.

The second step is to

✔ divide both sides by 4.5

.

The five friends will have to split

✔ 3

snacks.

Step-by-step explanation:

Answer:

The equation of the function in vertex form is f(x) = -2·(x - 8)² + 6

Step-by-step explanation:

The given values are

x,            f(x)

6,             -2

7,              4

8,              6

9,              4

10,            -2

The equation of the function in vertex form is given as follows;

f(x) = a × (x - h)² + k

To find the values of a, h, and k, we proceed as follows;

When x = 6, f(x) = -2

We have;

-2 = a × (6 - h)² + k = (h²-12·h+36)·a + k.............(1)

When x = 7, f(x) = 4

We have;

4 = a × ( 7- h)² + k = (h²-14·h+49)·a + k...........(2)

When x = 8, f(x) = 6...........(3)

We have;

6 = a × ( 8- h)² + k

When x = 9, f(x) = 4.

We have;

4 = a × ( 9- h)² + k ..........(4)

When x = 10, f(x) = -2...........(5)

We have;

-2 = a × ( 10- h)² + k

Subtract equation (1) from (2)

4-2 =  a × ( 7- h)² + k - (a × (6 - h)² + k ) = 13·a - 2·a·h........(6)

Subtract equation (4) from (2)

a × ( 9- h)² + k - a × ( 7- h)² + k

32a -4ah = 0

4h = 32

h = 32/4 = 8

From equation (6) we have;

13·a - 2·a·8 = 6

-3a = 6

a = -2

From equation (1), we have;

-2 = -2 × ( 10- 8)² + k

-2 = -8 + k

k = 6

The equation of the function in vertex form is f(x) = -2·(x - 8)² + 6

Answer:

f(x) = -2(x - 8)² + 6

Step-by-step explanation:

I did the test.

Answer: k = 4

Step-by-step explanation:

For this division, to determine the value of k, use the Remainder Theorem, which states that:

polynomial p(x) = dividend (x-a) * quotient Q(x) + remainder R(x)

Knowing the degree of quotient is

degree of Q = degree of p(x) - degree of (x-a)

For this case, Q(x) is a third degree polynomial.

Using the theorem:

[tex]x^{4}-3x^{2}+kx-2 = (x-2)(ax^{3}+bx^{2}+cx+d) + 10[/tex]

[tex]x^{4}-3x^{2}+kx-2 = ax^{4} + x^{3}(b-2a)+x^{2}(c-2a)+x(d-2c)-2d+10[/tex]

a = 1

b - 2a = 0 ⇒ b = 2

c - 2b = -3 ⇒ c = 1

-2d + 10 = -2 ⇒ d = 6

d - 2c = k ⇒ k = 4

Therefore, k = 4 and Q(x) = [tex]x^{4} -2x^{2} + 4x + 2[/tex]