what is f(g(x)) when f(x)=3x+1 and g(x)=4x^2-4

Answer:

x=70

Step-by-step explanation:

The value of ∠BAC in the isosceles triangle is 9.7°

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

a² = b² + c² - 2bc*cos(A)

where a, b, c are the sides of the triangle and A, B, C are the angles opposite the sides.

AB = AC = 1185 (isosceles), BC = 200, let ∠BAC = x°, hence:

200² = 1185² + 1185² - 2(1185)(1185)cos(x)

2(1185)(1185)cos(x) = 2808450

cos(x) = 0.9857

x = 9.7°

The value of ∠BAC in the isosceles triangle is 9.7°

Find out more on Cosine rule at: https://brainly.com/question/7872492

Answer:

y = 6°

x = 19.4°

Step-by-step explanation:

Use alternating interior angles

The angle adjacent to 5x + 3 is equal to 58 because of alternating interior angles.

58+100+3y+4 = 162 + 3y

162 + 3y = 180

3y = 18

y = 6

The two base angles are equal because the two lines are parallel

5x + 3 = 100

5x = 97

x = 19.4

Hope this helps :)

Have an awesome day!

Answer:

5

0.1

10

10

Step-by-step explanation:

|actual temp - estimate| = |50 - 45| = |5| = 5

5/50 = 0.1

0.1 × 100 = 10

10

Answer:

C≈81.68cm is the answer.

Answer:

x=15

Step-by-step explanation:

divide 20 by 8 and you get 2.5

multiply 2.5 by 6

Answer:

Step-by-step explanation:

So, to graph a parabola we must have at least 3 points, the x intercepts and the turning point. Currently the equation is in x intercept form which means that we know straight away (assuming the equation =0) that the x intercepts are:

(1,0) and (-3,0)

Now we have to find the turning point and we can do this by putting the equation into turning point form:

-5/4([tex]x^{2} +2x-3[/tex])

-5/4(([tex](x+1)^{2} -3-1[/tex])

-5/4[tex](x+1)^{2}+5[/tex]

Now we can figure out the turning point which is:

(-1,5)

Graph those three points and you should get a parabola shape

Answer:

b > -3

Step-by-step explanation:

-5(2b+7) + b< -b - 11

Distribute -5

-10b - 35 + b < - b - 11

Combine like terms.

-9b - 35 < - b - 11

Add b to both sides.

-8b - 35 < -11

Add 35 to both sides.

-8b < 24

Divide by -8. REVERSE THE SYMBOL!! because dividing by a negative number.

b > -3

Answer:

x < 7/2

Step-by-step explanation:

Answer:

A. MO/SA = OE/AW

Step-by-step explanation:

A. would be your correct answer because if you analyze the triangles you can see that the similar sides would be MO and SA, OE and AW, and ME and SW. In all of the answers, they compare sides that arent similar like OE/SW. However, in the first answer, the sides they compare are indeed similar, as you can see by what I listed above. These sides are similar because they are both the adjacent and opposite sides of each triangle.

Hope this helps! :)

Answer:

0839

Step-by-step explanation:

First of all, let's cancel 0620 and 0746, because they dont have any other number that has the same last 2 digits as them. Jean would've immediately known the train number if it was one of these two.

Now, when Marie says "I'm sure that neither does Jean", it means she is guaranteed Jean doesn't know the train number. It mean she couldnt've gotten 06 or 07, as 0620 and 0746 have it.

We're left with 0825,0839,0917,0925 and 0950
When Jean replies he knows the train number, it means he couldnt've gotten 25, as it's repeated.

And when Marie responds she knows as well, she couldnt've gotten 09, as it's also repeated.

We can cancel 0825,0917,0925 and 0950

So, the train number is 0839

Answer:

there is a 3/11 chance or a 27.272727272% chance

Answer:

93

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. The given measures, 37 and 56, sum up to 93. 180-93 = 87. This means the last interior angle is 87 degrees. But, the degree measure of a straight line is also 180 degrees, so 180-87 is 93, the answer.

Answer:

Exponent rules used:

[tex]x^{-2}=\dfrac{1}{x^2}= \dfrac{1}{(-2)^2}=\dfrac{1}{2^2}=\dfrac14[/tex]

[tex]x^{-1} = \dfrac{1}{x}= \dfrac{1}{-2}=-\dfrac12[/tex]

[tex]x^0=1\implies (-2)^0=1[/tex]

[tex]x^1=x =-2[/tex]

[tex]x^2=(-2)^2=2^2=4[/tex]

Answer:

y=2x+6

Step-by-step explanation:

Slope intercept form is:

y=mx+b

m: slope

b: y-intercept

We can start by solving for the slope. The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in any two x, y pairs from the table into the equation. Let's use (-3, 0) and (0, 6):

[tex]Slope=\frac{6-0}{0-(-3)}=\frac{6}{0+3}=\frac{6}{3}=2[/tex]

y=2x+b

Now, we can plug in a x, y pair from the table in for x and y to solve for the y-intercept. Let's use (0, 6):

y=2x+b

6=2(0)+b

6=0+b

b=6

Therefore the equation is:

y=2x+6

Answer: The first one 5/10 is 0.5 or 50% 5÷10. The second one 5/100 is 0.05 or 500%. The third one 5/1000 is 0.005 or 5000%.

Step-by-step explanation:

All you have to do is divide and you do that for all of them. Also did you know quotient means the answer to a division question. Wow! Also, if you see that all I did was add another zero in the middle of the decimals is because That is Decimal Place value. Here is a picture of that just in case.  The last answer for the very bottom one is what I just said about decimal place value so here is the reflection: When dividing by tens using decimals always be sure to use place value. Thank you I was happy to help!

Answer:

1. 5 <3rd side<21 2. 12.1<3rd side<35.1

Step-by-step explanation:

Answer:

1: 5 < 3rd side <21

2: 12.1< 3rd side < 35.1

3: 7<3rd side < 37

4: 6.5 < 3rd side 19.9

5 : 21 < 3rd side 67

Step-by-step explanation:

For example you have 5 and 10

you take 5 + 10 to get your side and you do

the biggest number - the smaller number to get the _ <3rd.

So if you have 5 and 10 you know that it would be 5 < 3rd side < 15

Given Equation :-

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 5(p-3) = 63}[/tex]

We are asked to find the value of p in the above equation.

First multiply (p-3) by 5 –

[tex]\qquad[/tex][tex] \sf \longrightarrow 5 \times p - 5 \times 3 = 63[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - 15 = 63[/tex]

Now, add 15 to both sides –

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p -15 +15 = 63 +15 [/tex]

Now, we can cancel 15 from Left side –

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p - \cancel{15 }+\cancel{15 }= 63 +15 [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 5p = 78[/tex]

Divide both sides by 5–

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{5p}{5} = \dfrac{78}{5}[/tex]

Cancel 5 from left side also cancel 78/5, which can be divided by 15.6.

[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{5}p}{\cancel{5}} =\cancel{\dfrac{ 78}{5}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow p = 15.6}[/tex]

Given :

To Find :

Solution :

[tex]\qquad\sf{ { \dashrightarrow{ 5(p - 3) = 63}}}[/tex]

Using Distributive property, we get :

[tex]\qquad\sf{ { \dashrightarrow{ 5p - 15 = 63}}}[/tex]

Now, Transposing (-15) to the right side, which then becomes positive :

[tex]\qquad\sf{ { \dashrightarrow{ 5p = 63 + 15}}}[/tex]

[tex]\qquad\sf{ { \dashrightarrow{ 5p = 78}}}[/tex]

Dividing 5 from both sides we get :

[tex]\qquad\sf{ { \dashrightarrow{ \dfrac{5p}{5} = \dfrac{78}{5} }}}[/tex]

[tex]\qquad\bf{ { \dashrightarrow{ p = 15.6 }}}[/tex]

⠀

Answer:

15200 cm²

Step-by-step explanation:

from inspection of the diagram, we can see that the prism comprises:

Triangle

Area of triangle = 1/2 x base x height

Given:

⇒ area = 1/2 x 60 x 40 = 1200 cm²

Base rectangle

Area of a rectangle = width x length

Given:

⇒ area = 60 x 80 = 4800 cm²

Side rectangle

Area of a rectangle = width x length

Given:

⇒ area = 50 x 80 = 4000 cm²

Total area = 2 triangles + base rectangle + 2 side rectangles

⇒ total area = (2 x 1200) + 4800 + (2 x 4000) = 15200 cm²

Answer:

$29.7

Step-by-step explanation:

10 percent of 27 is 2.7 then you add 27 and 2.7 and you get 29.7

Answer:

[tex]y = (5 + x)^2[/tex]

Step-by-step explanation:

"The square of the sum of x and 5 is equal to y."

Let's use our clue words that indicate what our equation will be.

Let's start easy, equal to y.

y =

Now let's look at the rest of the sentence minus the phrase we just used.

The square of the sum of x and 5.

The sum of x and 5 goes first,

x + 5

and since we are looking for the square of x + 5:

(5 + x)^2

therefore,

[tex]y = (5 + x)^2[/tex]

Answer:

square of y looks like y2

five times y2is written 5y2

square of x looks likes x2

usually, a mathematical expression is written in alphabetical order x2+5y2

Kayla-

HOPE I GET BRAINLIEST!

The amount of money Candy started with after spending on drinks and cakes is £7.95

She bought a drink for £1.45 and a piece of cake for £1.20.

She has two thirds of here money left.

Let the money she has initially  = x

Therefore,

2 / 3 x = x - 1.45  - 1.20

2 / 3 x = x - 2.65

subtract x from both sides

2 / 3 x - x = - 2.65

2x - 3x / 3 = - 2.65

- x / 3 = - 2.65

cross multiply

-x = - 2.65 × 3

- x = -7.95

x = £ 7.95

Therefore, Candy started with £7.95

l

earn more on amount here: https://brainly.com/question/16969113

#SPJ2

Answer:

it would be the first one!

Step-by-step explanation:

Answer:

D. 20

Step-by-step explanation:

You do KEEP CHANGE FLIP:

Multiply 5 by 4. You get 20/1 which is 20

Answer:

im not good in this but thats insane.

12 meters

or what is problem?

Answer:

8y + 9 = 6

Step-by-step explanation:

8 times a number (8y) and 9 (+9) equals 6 (=6)

The right-angle triangle shows this condition. Then the value of angle x is 30.80°.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The expression is given as

[tex]\rm x = \rm tan ^{-1} \dfrac{3.1}{5.2}[/tex].

We know that the tangent is the ratio of the perpendicular to the base of the right-angle triangle.

x will be the angle and the opposite side of the x will be the perpendicular of lengths 3.1 and 5.2 will be the base of the that is along the angle x.

The value of x is 30.80°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177