pat calculated tan(88)° and obtained a value of 28.6363, but isn't sure what that value means in context. write at least one sentence and provide a sketch to help her understand what her calculator is telling her.

[tex] \large{f(x) = g(x)} \\ \large{ {x}^{2} + 3x = x + 3}[/tex]

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

[tex] \large{ {x}^{2} + 3x - x - 3 = 0}[/tex]

Combine like terms.

[tex] \large{ {x}^{2} + 2x - 3 = 0}[/tex]

Solve the equation by factoring.

[tex] \large{(x + 3)(x - 1) = 0} \\ \large{x = - 3,1}[/tex]

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

Let me know if you have any doubts!

Hoped that I helped you :)

Answer:

Step-by-step explanation:

Answer: D

Step-by-step explanation:

D The angle agacent to arc ML is half the degree. Your answer is 118

Answer:

D

Step-by-step explanation:

angle J is a circumference angle that insists on arc ML. the measure the angle  of this arc is double of it

59 * 2 = 118 degrees

======================================================

Explanation:

h = number of hours past 7 pm

20h = the number of glasses sold after h hours

20h+180 = adding on the 180 glasses already sold

20h+180 > 240 is the inequality to set up

Let's solve for h

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

20h+180 > 240

20h > 240-180

20h > 60

h > 60/20

h > 3

They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.

The earliest that they can close is 11 pm (since 4+7 = 11).

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

If h = 3, then

20h+180 = 20*3 + 180 = 240

meaning that they haven't reached their goal of getting over 240

So they have to stay open that extra hour to get past 240.

the answer is in the attachment

Hope it helps

Answer:

$14

Step-by-step explanation:

Let Joe have $x

Then Nate would have $(x-5)

They both have $(x + (x-5)  which is equal to $43

                           $(x + x -5) = $43

                           $2x - $5 = $43

                            $2x = $(43 - 5)

                           $2x = $38

Divide both sides by $2

                               x = 19 (Joe has $19)

:. Nate has $(19 - 5) = $14.

Nate have 24 dollars.

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Suppose that Jo has x dollars of amount, and

Nate has y dollars of the amount

Given that Jo had $5 more than Nate and together they had $43

x + 5 = y  ,

x + y = 43,

Substitute the value of y in the equation x + y = 43,

x + 5 + x = 43

2x = 43 - 5

2x = 38

Divide both sides by 2

x = 19

Now substitute the value of y = 19 in the equation x = y +5,

So, y = 19 + 5

y = 24

Hence, Nate have 24 dollars.

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Answer:

Concurrent as my perception

Answer:

Radius : 3 inches

Height : 2 inches

Step-by-step explanation:

[tex]π \times (radius {)}^{2} \times (height)[/tex]

[tex]π \times {3}^{2} \times 2[/tex]

[tex]π \times 9 \times 2[/tex]

[tex]9 \times π \times 2[/tex]

[tex]18\pi[/tex]

Answer:

7.64 miles/week

Step-by-step explanation:

there are 5280 feet in a mile

and 10080 minutes in a week

so it's

4 * 10080 / 5280

the two big numbers where just gougled

Answer:

Step-by-step explanation:

Answer:

There is no relationship between the variables.

There is no pattern between the variables.

No reliable predictions are possible.

Step-by-step explanation:

this is the exact answer on edge 2021

Answer:

No, because no association means there is no relationship between the variables. So there is no pattern that results in reliable predictions.

Step-by-step explanation:

its the sample response

Answer:

sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°

Step-by-step explanation:

Answer: 3420 degrees

Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.

Answer:

It is the first option

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The median is 8 since 8 is the most common number

Answer:

x = 25

Step-by-step explanation:

X-7 = 18

Add 7 to each side

X-7+7 = 18+7

x = 25

Given that,

X-7 = 18

Now we can add 7 to each side,

→ X-7 + 7 = 18+7

→ x = 25

So, option (A) is the correct answer.

Answer:

D. Brenden Has more money in his account than Cooper does

Answer:

8x + 17

Step-by-step explanation:

4(2x- 1) + 3(2 + 5)

=4*2x - 4*1 + 3*7

=8x - 4 +21

=8x + 17

Answer:

129

Step-by-step explanation:

[tex]\frac{5^{4} }{5} +4[/tex]

[tex]\frac{625 }{5} +4[/tex]

[tex]125 +4[/tex]

129

Answer:

Step-by-step explanation:

The discriminant tells you where the graph of the parabola goes through the x-axis, if at all. If the discriminant is negative there are no real zeros and the parabola does not cross or touch the x-axis; if the discriminant is positive the parabola will go through the x axis in 2 places; if the discriminant is 0 the parabola will touch the x-axis in 1 place. Our discriminant is 0 since the parabola only touches the x-axis but does not go through.

Answer:

the answer is 38 minutes

Answer:

18

Step-by-step explanation:

Given:

The figure of a circle O.

To find:

The value of x.

Solution:

First, label some points on the given figure as shown below.

In triangle BOC,

[tex]OB=OC[/tex]                 (Radii of same circle)

It means [tex]\Delta BOC[/tex] is an isosceles triangle and the base angles of an isosceles triangles are congruent. So,

[tex]\angle OBC\cong \angle OCB[/tex]

[tex]m\angle OBC=m\angle OCB[/tex]

[tex]75^\circ=m\angle OCB[/tex]

In triangle [tex]\Delta BOC[/tex],

[tex]m\angle BOC+m\angle OBC+m\angle OCB=180^\circ[/tex]          (Angle sum property)

[tex]m\angle BOC+75^\circ+75^\circ=180^\circ[/tex]

[tex]m\angle BOC+150^\circ=180^\circ[/tex]

[tex]m\angle BOC=180^\circ-150^\circ[/tex]

[tex]m\angle BOC=30^\circ[/tex]

Now,

[tex]m\angle BOC=m\angle BOC+m\angle COD[/tex]

[tex]m\angle BOC=30^\circ+94^\circ[/tex]

[tex]m\angle BOC=124^\circ[/tex]

Using the central angle theorem, we get

[tex]m\angle BAD=\dfrac{1}{2}\times m\angle BOD[/tex]

[tex]x=\dfrac{1}{2}\times 124^\circ[/tex]

[tex]x=62^\circ[/tex]

Therefore, the correct option is B.

The answer is:

5.1 x [tex]10^-4[/tex]

Answer:

3.45×10^-6

Step-by-step explanation:

Crea el decimal usando los últimos 3 números: 3.45

Multiplica por 10 a la negativa potencia del número de ceros: 10^-6

Answer: -10 :))))

i hope this helps

Answer:

270 flowers total she sell Together.

Step-by-step explanation:

According to the Question,

Let, x = number of orchid bunches & y = number of rose bunches.

Therefore, 25x + 30y = 390 ⇒⇒ Equation 1  

she sells 4 times as many orchid bunches as rose bunches,

Therefore,  x = 4y  ⇒⇒ Equation 2

25 × (4y) + 30y = 390  

100y + 30y = 390

130y = 390  ⇔ y = 390 / 130 ⇒ 3  

if y = 3, then x = 4y must be equal to x= 12.

Thus, she sold 12 orchid bunches and 3 rose bunches.

Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.

Answer:

i think it is A

Step-by-step explanation:

Answer:

its A between -9 and -10

Step-by-step explanation:

=======================================================

Explanation:

The 85 degree angle is smaller than the 90 degree angle (aka right angle). That must mean 5x-10 is smaller than 25

At the same time, 5x-10 must be larger than 0 to avoid having a 0 length or negative length.

So overall we can say 0 < 5x-10 < 25

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

Let's isolate x

0 < 5x-10 < 25

0+10 < 5x-10+10 < 25+10 ...... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 .... dividing all sides by 5

2 < x < 7

This says that x is between 2 and 7, but we cannot have x equal either endpoint.

Answer:

Only for question 1

Step-by-step explanation:

The answer is

When numbers with indices are being multiplied together, the indices act as if its being added together whereas if you multiply the indices together then it would multiply them all