Please help!!!!!!!!!!!

Please Help!!!!!!!!!!!

Answers

Answer 1

Let's take this problem step by step:

To find the ordered pair of the system:

⇒ must set both equations equal to each other

    ⇒ and solve for 'x'

Let's solve:

 [tex]x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0[/tex]

Let's find the x-values:

   [tex](x-4)=0\\x=4\\\\(x+4)=0\\x=-4[/tex]

Let's find f(x)'s value for each 'x':

 [tex]x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27[/tex]

Answer: (4, 11), (-4,27)

Hope that helps!

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Related Questions

You’re planning to place an order from an online boutique. Leggings are $12 each and shipping is a flat rate of $5. Write an expression that represents the total cost of your order (not including tax) based on the number of leggings (l) you buy.

Answers

Answer:

For the cost of each legging to be $12, and the shipping of $5, the expression is a straight line C = 12x + 5 where x is the number of leggings.

Step-by-step explanation:

It is given that each legging costs $12. This means that for x number of leggings, the cost will be $12x. Now there is an additional cost of shipping that is $5. So, total cost will be a linear equation and can be written as

C = 12x + 5

This equation represents a straight line like y = mx + c. Here y = C, m = 12 and c = 5.

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In which funtion is x=2 mapped to 32?

Answers

The function g(x)=4(x+3)² - 68 is mapped to 32.

What is equation?

An equation is a mathematical expression in terms of one or more unknown variable.

Given are the following functions:

f(x)= - 3x² - 4

g(x)= 4(x+3)²-68

f(x)= 3x

f(x)= 2x-62

To get the mapped function, we substitute the value of x in all function,

a) f(x)=-3x²- 4

Put x=2,

f(2)= -3 (2)² - 4

f(2)= -16

It is not mapped.

b) g(x)=4(x+3)² - 68

Put x=2,

g(2) = 4(2+3)² - 68

g(x) =32

It is mapped to 32.

c) f(x)=3x

Put x=2,

f(2) = 3 x 2 =6

It is not mapped.

d) f(x)=2x - 62

Put x=2,

f(2) =2x2 -62

f(2) = -58

It is not mapped.

Therefore, the function g(x)=4(x+3)² - 68 is mapped to 32.

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Please help me

Find the values of x and y

Answers

(12x +15)°=75° .…(शिर्षभिमुख कोण भएर)

or, 12x+15=75

or, 12x=75-15

or, 12x=60

or, x=60÷12

or, x=5

(6y-27)°=105° .…(शिर्षभिमुख कोण भएर)

or, 6y-27=105

or, 6y=105+27

or, 6y=132

or, y=132÷6

or, y=22

12. How many grams is of of 800 g?
[tex] \frac{3}{8} [/tex]


of 800 g ?

Answers

Answer:

800

Step-by-step explanation:it's cuz g represents

3/8 of 800g is 300g

3/8 converted to decimal = 0.375 x 800g
= 300g

if cos^4+cos^2=1 prove that cot^4a-cot^2a=1​

Answers

Step-by-step explanation:

We can solve this kind of trigonometric problem

easily by the followings method :

Given :

cos^4a + cos^2a = 1

or, cos4^a = 1 - cos^2a

Therefore; cos^4a = sin^2a

Again,

To prove: cot^4a - cot^2a = 1

L.H.S = Cot^4a - cot^2a

= Cos^4a÷ sin^4a - Cos^2a ÷ sin^2a

= Sin^2a ÷ Sin^4a - cos^2a ÷ Sin^2a

= 1 ÷ Sin^2a - cos^2a ÷ Sin^2a

= 1 - cos^2a ÷ Sin^2a

= Sin^2a ÷ Sin^2a

= 1 = R.H.S proved.

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p varies jointly as q and the square of r, and p = 200 when q = 2 and r = 3. Find p when q = 5 and r= 2.

Answers

Step-by-step explanation:

If a variables varies jointly, we can just divide it by the other variables in relation to it.

For example, since p variables jointly as q and square of r, then

[tex] \frac{p}{q {r}^{2} } = k[/tex]

where k is a constant

First, let find k. Substitute p= 200

q= 2, and r=3.

[tex] \frac{200}{2(3) {}^{2} } = k[/tex]

[tex] \frac{200}{18} = k[/tex]

[tex] \frac{100}{9} = k[/tex]

Now, since we know our constant, let find p.

[tex] \frac{p}{q {r}^{2} } = \frac{100}{9} [/tex]

Q is 5, and r is 2.

[tex] \frac{p}{5( {2}^{2}) } = \frac{100}{9} [/tex]

[tex] \frac{p}{20} = \frac{100}{9} [/tex]

[tex]p = \frac{2000}{9} [/tex]

There are 12 ducks and 11 geese in a certain park. Find the ratio of geese to ducks.

Answers

Answer:

11:12

Step-by-step explanation:

You first have to put the number of geese to ducks in a ratio form and since 11 and 12 have no common factors one cannot reduce the ratio

A group of 328 people consists of men ,women, and children. There are five times as many men than children and twice as many women then children. How many women are there

Answers

Step-by-step explanation:

Ultimately we know:

Men = * 5

Women = * 2

Children =

We can already make the estimation that the amount of children will be below 50. So by trial and error you will get to your answer by substituting with 41.

Children - 41

Women - 41 x 2 = 82

Men - 41 x 5 = 205

205 + 41 + 82 = 328

So your answer is 41

The additive inverse of an element of x of a set is the number, which when added to x gives the answer 0. In the set {-3, -2, -1, 0, 1, 2, 3}, what is the additive inverse of -2?

Answers

Answer:

2

Step-by-step explanation:

the additive inverse of - 2 is 2 , since

- 2 + 2 = 0

How do u solve 3/8+1/8-2/7+1/4

Answers

Answer:

13/28

Step-by-step explanation:

using pemdas we can determine that the equation is directly solves from left to right

so

first

we have

3/8 + 1/8

which is 4/8

you can simplify this to 1/2

then you have 1/2 - 2/7

you must make them have the same numerator

you can multiple 1/2 by 7/7 and 2/7 by 2/2

7/14 - 4/14 = 3/14

now you must add 3/14 and 1/4

but you to make them have the same numerator

so you multiply 3/14 by 2/2 and 1/4 by 7/7

6/28 + 7/28 = 13/28

that is your final answer

Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive?

Answers

The function g(x) = ∛(x -3) is positive at the interval x > 3

Complete question

Given g(x) = ∛(x -3), on what interval is the function positive?

How to determine the positive interval?

The function is given as:

g(x) = ∛(x -3)

Set the radicand to positive

x - 3 > 0

Add 3 to both sides

x > 3

Hence, the function is positive at the interval x > 3

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A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?

I need some help on this one, anyone know?

Answers

The number of combinations will be 6 for even numbers.

What is the combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?

The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.

The even numbers are 0,2,4.

The combinations will be given by:-

C = 3!

C = 3 x 2 x1

C = 6

Therefore the number of combinations will be 6 for even numbers.

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Can you solve these questions and explain them for me? Thank you

Answers

Step-by-step explanation:

When folding up the box, x will be the height

(30-2x) will be the length

(25-2x) will be the width so

[tex]v(x) = x(30 - 2x)(25 - 2x)[/tex]

b. First, we can't have negative length or zero length so x must be Positve.

Set the other binomial equal to 0.

[tex]30 - 2x > 0[/tex]

[tex] - 2x > - 30[/tex]

[tex]x < 15[/tex]

[tex]25 - 2x > 0[/tex]

[tex] - 2x > - 25[/tex]

[tex]x < 12.5[/tex]

So our domain is

(0,12.5), meaning our value of x must be greater than 0 and less than 12.5

Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. persons taking a 70-hour review course average a score of 780. based on these two data points, create a linear equation for the function that describes how score varies as a function of time. use this function to predict an average score for persons taking a 43-hour review course. round your answer to the tenths place.

Answers

Answer:

Answer for linear equation: y=4x+500 and Avg score for persons taking 43-hour review course is 672

The circumference of a circle is 237 cm.
What is the area, in square centimeters?
Express your answer in terms of T.

Answers

Answer:

Circumference of a circle = 2 pie r

237 = 2 * pie * r

237 / 2 * Pie

118.5/ pie = r

118.5 = Pie*r

Area of circle = Pie *r²

= Pie r * r

= 118.5 * 118.5/ Pie

= 118.5 * 118.5 / pie

= 14042.25/ pie

taking value of pie = 3.14

= 4472.05 sq. cm

can someone please help mee

Answers

Answer:

x = -2y

y-intercept: ( 0, 0 ) and slope: [tex] \frac{1}{2} [/tex]

Can anyone help me with this

Fnd the value of x.

x = ?

Answers

Answer:

X=62 degrees

Step-by-step explanation:

The solution is in the image

Answer:

62°

Step-by-step explanation:

We know that the sum of the interior angles in a triangle is added up to 180°.

Therefore,

68.5° + 49.5° + x = 180°

118° + x° = 180°

x = 180° - 118°

x = 62°

Suppose that F(x) = x² and G(x) = 3x^2 + 8. Which statement best compares the graph of G(x) with the graph of F(x)?

A. The graph of G(x) is the graph of F(x) stretched vertically and
shifted 8 units to the left.

B. The graph of G(x) is the graph of F(x) compressed vertically and
shifted 8 units to the left.

C. The graph of G(x) is the graph of F(x) compressed vertically and
shifted 8 units up.

D. The graph of G(x) is the graph of F(x) stretched vertically and
shifted 8 units up.

Answers

Answer:

The graph of G(x) is the graph of F(x) stretched vertically and shifted 8 units up.

NEED HELP ON THIS ASAP!!!!!!

Answers

Answer: Choice B (If you need to do questions like this in the future i recommend using the desmos graphing calculator online, inputting the equations and comparing them)

Please help! Which of the following would result in an integer?

Answers

Answer:

B

Step-by-step explanation:

Cube root of 27 is 3, which is in integer

cotpheta•sin2pheta=

1+cos2pheta
1+cospheta
1+sin2pheta ​

Answers

Answer:

Step-by-step explanation:

Did you mean.

[tex] = \cot( \theta) . \sin(2 \theta) [/tex]

[tex] = \frac{ \cos( \theta) }{ \sin( \theta) } .(2 \sin( \theta) \cos( \theta) )[/tex]

[tex] = \frac{2 \sin( \theta) \cos {}^{2} ( \theta) }{ \sin( \theta) } [/tex]

[tex] = 2 \cos {}^{2} ( \theta) [/tex]

[tex] = 2.(1 - \sin {}^{2} ( \theta) )[/tex]

[tex] = 2 - 2 \sin {}^{2} ( \theta) [/tex]

No option Solution.

I’m having trouble understanding how to solve this someone please help ASAP thank you!

Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.

A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it

turn when it changed direction? Show your work.


Answers

Answer:

Answer is 71.95°

Step-by-step explanation:

Cosine formula is

a^2=b^2+c^2-2bc(cosA)

cos A =b^2+c^2-a^2/2bc

if a= 119,b=94,c=173

cos A=94^2+173^2-119^2/2(94*173)

=8836+29,929-14,161/2(16,262)

=38765-14,161/32,524

=24604/32,524

=0.7564

cos A=0.7564

cos^-1=40.85°.that's for angle A.

Using the same formula

B=31.1°

C=180-(40.85+31.1)

C=180-71.95

C=108.05

Since angle on a straight line is 180

therefore x is 71.95

Also the sum of angles A and B

Given the quadrilateral below is a rhombus, solve for the length of the side of the rhombus.

Answers

Answer:

7.21

Step-by-step explanation:

There is a formula to find the area of a side of a rhombus given 2 diagonals.

It is:  [tex]\frac{\sqrt{p^{2}+q^{2} } }{2}[/tex]

64 + 144 = 208

[tex]\sqrt{208}[/tex] = 14.42

14.42 / 2 =

7.21

The diagonals of the rhombus meet perpendicularly, so you have four right triangles. Because of this you can use the Pythagorean theorem with 8 and 12 to find the side.

Theorem: a^2 + b^2 = c^2

8^2 + 12^2 = c^2
64+144 = c^2
c^2 = 208
c = sqrt208

1. Decide if the following is a properly formed syllogism. If you are going to wrap Holly’s gift, you need wrapping paper. If you need wrapping paper, you have to go to the store. Therefore, if you go to the store, then you’re going to wrap Holly’s gift.

A) This is a syllogism.

B) This is not a syllogism.

Answers

This is not a syllogism. Hence option B is correct.

What is a syllogism?

A logical structure for a formal argument that includes a major, minor, and conclusion.

This syllogism cannot be concluded without a given statement.

You'll need wrapping paper if you're going to wrap Holly's present. To get wrapping paper, you must visit a store.

Therefore, you will wrap Holly's present if you visit the store. This isn't a syllogism

Hence option B is correct.

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Answer:

This is not a syllogism

Step-by-step explanation:

I took the quiz. :)

x(3y - 2)
Multiply this problem

Answers

Answer:

3xy-2x

Step-by-step explanation:

Distribute x to both 3y and -2: 3y*x-2*x.

3xy -2x… just use the distributive property

Students are selling T-shirts for a school fundraiser. The table shows the amount they raise from the T-shirt sales.

Shirts Sold 1 2 3 4
Amount Raised (dollars) 4 8 12 16

Complete each statement.

The amount raised ? proportional to the number of shirts sold.

is
is not​

Answers

Answer:..

Step-by-step explanation: what is is not?

Answer:

1. is

2. amount raised, number of shirts sold

3. dependent, independent

4. 4

5. 4x

Step-by-step explanation:

In the diagram Below

Answers

Answer:

∠UTC = 55°∠UCD = 70°∠BCT = 55°

Step-by-step explanation:

In this figure of overlapping parallelograms, each angle is related to the others by several different theorems involving triangles, parallelograms, and parallel lines. That is, there are several different ways one can arrive at the answers to this question.

__

UTC

∠UTC ≅ ∠UDC = 180° -∠EDU . . . opposite angles of parallelogram; linear pair

∠UTC = 180° -125° = 55°

__

UCD

∠UCD ≅ ∠TBC = 180° -∠TBA . . . . corresponding angles; linear pair

∠UCD = 180° -110° = 70°

__

BCT

∠BCT ≅ ∠UTC = 55° . . . . alternate interior angles

PLEASE HELP. FUNCTIONS AND RELATIONS. PROVIDE ANSWER OPTION A,B,C OR D? THANKS!!

Answers

Step-by-step explanation:

please mark me as brainlest

Find the distance-
Which shows the values inputted into the distance formula?
*See photo*

Answers

Answer:

A.

Step-by-step explanation:

As shown in the question we can interpret the following:

[tex]x_{1} = -2\\y_{1} = 1\\x_{2} = 5\\y_{2} = -4[/tex]

Now all we have to do is plug these values into the equation, and so we find that A. is the correct answer.

Jamar is attempting to factor the expression 15x^2-16x-15. In his first step, he rewrites the expression as 15x^2-25x+9x-15. Which of the following statements in true about Jamar’s work?

A. Jamar's first step is correct. He should continue to factor the expression.
B. The two middle coefficients add to the correct number, but do not multiply to the correct number.
C. The two middle coefficients multiply to the correct number, but do not add to the correct number.
D. The two middle coefficients do not add or multiply to the correct number.

Answers

Jamar's first step is correct. He should continue to factor the expression. Then the correct option is A.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Jamar is attempting to factor the expression 15x² – 16x – 15.

In his first step, he rewrites the expression as 15x² – 25x + 9x – 15.

Jamar's first step is correct. He should continue to factor the expression.

Then the correct option is A.

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