❗️5 points❗️
2. Find the slope of the line.
A. 3
B. -3
C. -1/3
D. 1/3

Answer:

  B.  x = a(y - v)^2 + h

Step-by-step explanation:

The basic equation is ...

  x = f(y)

  x = y^2

To translate the vertex from (0, 0) to (h, v), we replace x with (x-h) and y with (y-v). Now, we have ...

  x -h = (y -v)^2

To scale the graph horizontally by a factor of "a", we multiply the right side by "a":

  x -h = a(y -v)^2

Adding h gives the form you want to compare to the answer list:

  x = a(y -v)^2 +h

_____

The attachment shows an example for (h, v) = (4, 3).

Answer:

B

Step-by-step explanation:

Hopefully this helps :)

Answer:

$186.75

Step-by-step explanation:

In order to solve this, we first need to convert the percentage into a decimal which can be done by dividing it by 100 like so

24.5 % 100 = 0.245

Now that we have the decimal form of the percentage we add a 1 to it and multiply that by $150 in order to get the total amount that is owed after two weeks .... without the 1 added it would only give us the amount of interest that needs to be paid.

$150 * 1.245 = $186.75

Therefore after two weeks you would need to pay a total of $186.75

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.

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: £2.4

Step-by-step explanation:

From the question, Erin buys 3 packs of potatoes costing £2 each, 4 packs of carrots for £2 per pack, and 4 turnips costing 90p each.

Total cost of potatoes = 3 × £2 = £6

Total cost of carrots = 4 × £2 = £8

Total cost of turnips = 4 × 90p = £360p = £3.6

The total cost of things bought by Erin will now be:

= £6 + £8 + £3.6

= £17.6

If she pays with a £20 note, she will collect a change of:

= £20 - £17.6

= £2.4

= 2 pounds, 40 pennies.

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

Answer:

0.46 each

Step-by-step explanation:

Answer:

£0.46 per pen

Step-by-step explanation:

We need to find the unit rate, or price per pen.

Therefore, we can divide the price by the number of pens.

price / number of pens

It costs £2.76 for 6 pens.

price= £2.76

number of pens = 6 pens

£2.76 / 6 pens

Divide 2.76 by 6

£0.46 / pen

The price per pen is  £ 0.46

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]

Answer: independent variables cause the effect measured in the dependent variables

Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.

Answer:

A. Jorge distributed incorrectly.

Step-by-step explanation:

4x - (x + 20) + 6 = 2(3x + 8)

4x - x - 20 + 6 = 6x + 16

3x - 14 = 6x + 16

3x - 6x = 16 + 14

-3x = 30

x = -10

For Step 1 of Jorge's work, he writes "4x - x + 2 + 6 = 6x + 16", instead of "4x - x - 20 + 6 = 6x + 16". That is the error that messes up the rest of his calculations.

What he did wrong does not apply to addition, subtraction, multiplication, or division, so we can eliminate choices C and D. Jorge isn't combining like terms, either, so we can eliminate choice B. What Jorge did wrong was that he distributed incorrectly, so that is your answer: A. Jorge distributed incorrectly.

Hope this helps!

Answer:

A is correct and thank you to the other person who answered i didn’t fail

Step-by-step explanation:

just took the quiz on edge

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

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:

8%

Step-by-step explanation:

4/50 = 0.08, which is 8%

If 500 is not a typo, then 4/500 = 0.008, which would be 0.8%

Answer: 8%

Step-by-step explanation: 4/50 = 0.08 Convert the decimal to a percentage. 0.08 = 8%

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:

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:

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.

Answer:

336km^2

Step-by-step explanation:

There are 2 triangles and 3 squares in this 3D shape.

To find the surface area of this shape, you need to find the area add all the 5 shapes (height ✖️length) and add them.

area of the triangle: 8✖️9/2=36 +36<-- 2nd triangle=72km^2

area of a square: 11✖️8=88✖️3=264km^2

264+72=336km^2

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

Answer:

t = 63.897 years

Step-by-step explanation:

Simple interest rate formula: A = P(1 + r)^t

Simply plug in what we know and solve:

12502 = 1020(1 + 0.04)^t

6251/510 = 1.04^t

log base 1.04 of (6251.510) = 63.897

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:

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:

(2, f(2))

Step-by-step explanation:

f(x) = -3x^2

For point B, the y-coordinate is f(2).

Point B is (2, f(2))

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:

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 new line is steeper than the original, but still crossing the y=axis at 7 .

Step-by-step explanation:

Since what has changed from y = 2 x + 7 going into y = 5 x + 7 is the slope of the linear function, (from 2 to 5) what one would notice is that the new line is steeper - raising 5 units every one unit ste to the right- but would still be intersecting the y-axis at the point (0, 7), since the y-intercept has not changed.

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.

Answer:

the answer is (x+3)(x-1).

hope u get it....

Answer:

B

Step-by-step explanation:

x^2 +3x -x -3 = x(x+3) -(x+3)=(x-1)(x+3)

Answer: 28

Step-by-step explanation:  √98 x √2 = √196

√196 = 14

2×14= 28

Answer:

4) 28. I don't know how to explain it...

Answer:

Records: $6000

Grass Seed: $4000

Toys: $3000

Food: $11000

Step-by-step explanation:

We have to use the number of degrees in each category in comparison to the total number of degrees in a circle, 360 degrees. Records is 90 degrees, so 90:360 = 1:4 = 1/4. So 1/4 of the total pie is $6000. For food, we add the other sub-category's costs, and subtract that from $24000.

Answer:

Step-by-step explanation:

1. Toys = [tex] \frac{45}{360} \times 24000 = 3000[/tex]

2. Grass seed[tex] = \frac{60}{360 } \times 24000 = 4000[/tex]

3. Records = [tex] \frac{90}{360} \times 24000 = 6000[/tex]

4. Food = 24000 - ( 3000+4000+6000)

= 24000 - 13000

= 11000

Hope this helps...

Best regards!!