HELP PLS: If f(x) = 2x – 3 and g(x) = 2x2 + 5x + 1, find:
a. f(4) + g(1)

Answer:

t = 7/-4 OR -1 3/4

Step-by-step explanation:

3(t - 3) = 5(2t - 1)​

3t - 9 = 10t - 5

(3t - 3t) - 9 = (10t - 3t) - 5

-9 = 7t - 5

-9 + 5 = 7t (- 5 + 5)

-4 = 7t

-4/-4 = 7t/-4

t = 7/-4 OR -1 3/4

This value is approximate.

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Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

A+B+C = 180

107+42+C = 180

149+C = 180

C = 180-149

C = 31

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To sum things up so far, we have these known properties of triangle ABC

Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

b/sin(B) = c/sin(C)

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

b = 31.1804803080182 which is approximate

b = 31.2 miles is the distance from the storm to station A

Make sure your calculator is in degree mode.

The weather station A is 31.2 miles from the storm

From the triangle shown:

m<B = 90° - 48°

m<B = 42°

m<A = 17° + 90°

m<A = 107°

m<A + m<B + m<C = 180° (Sum of angles in a triangle)

107° + 42° + m<C = 180°

m<C = 180° - 149°

m<C = 31°

The distance between the weather stations A and B = 24 miles

That is, AB = 24 miles

The storm is at point C

The length AC is found by using the rule of sines:

[tex]\frac{sinC}{AB}=\frac{sinB}{AC} \\\\\frac{sin31}{24}=\frac{sin42}{AC} \\\\\frac{0.515}{24} = \frac{0.669}{AC} \\\\0.02146=\frac{0.669}{AC}\\\\AC=\frac{0.669}{0.02146} \\\\AC=31.2 miles[/tex]

The weather station A is 31.2 miles from the storm

Learn more on sine rule here: https://brainly.com/question/4372174

Answer:

Fred has = 9 $

Alicia has = 9 + 8 =17 $

Step-by-step explanation:

Let, Fred has = f $

Then, Alicia has = f + 8 $ ;[as Alicia has 8 more dollars than fred]

Now, the required expression is

∴[tex]f+(f+8)=26\\=>2f+8=26\\=>2f=18\\f=9[/tex]

So, Fred has = 9 $

Alicia has = 9 + 8 =17 $

Hope you have understood this.....    

ask me if you have any confusion.....    

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Answer:

Yes, because if the multiplication identity is 1, the division identity may be -1 because it is the opposite.

Step-by-step explanation:

Answer:

160 cm²

Step-by-step explanation:

If the two rectangles are similar, that means they have equal scale factors.  The smaller rectangle has length of 8 cm and area of 40 cm, which means the width is 5 cm.  

The width of the larger rectangle is 10 cm, which is double the width of the smaller, similar rectangle.  So, to find the length of the larger rectangle, multiply 8 x 2, which gives you 16 cm for the length, since the scale factor is 2.

Now, just find the area of the larger rectangle by doing length x width.  16cm x 10 cm = 160 cm²

Answer:

160 cm^2

Step-by-step explanation:

Our strategy is to find the length of the larger rectangle so we can find the area. To find the length, we will rely on the fact the two rectangles are "similar": their sides are in equal proportions, or have the same "ratio."

We know that the smaller rectangle has a width of 5 cm because, when we substitute area and length into

A = lw

we get

40 = 8w

w = 5

when we divide both sides by 8.

Because of equal proportions:

Width : length of the smaller rectangle = Width : length of the larger rectangle

We can write an equation

5 / 8 = 10 / x

Cross multiply

5x = 80

x = 16

So the larger rectangle has a length of 16 cm and a width of 10 cm (given)

meaning the area is

16 * 10 = 160 cm^2

Answer:

C. 76

Step-by-step explanation:

Since the numbers add up by 5, you can use this equation. 5x-4.  Plug in 16 for x to get the answer which is 76.

Answer:

Irrational

Step-by-step explanation:

Its irrational as it has no pattern of numbers after decimal point and the number are infinite

Answer:

irrational because it has a coma after one number

Answer:

11

Step-by-step explanation:

You would add 5 + 4.2 + 5 - 2.2 - 1 in a calculator and it would come out to be 11.

Answer:

John: 8 Hong: 5 Keith: 7

Step-by-step explanation:

Divided each larger number by three smaller one, and that is how much time each flyer spent.

Answer:

8 and 32

Step-by-step explanation:

(19)

x³ ÷ 3 - y ( substitute x = 3, y = 1 into the expression )

= 3³ ÷ 3 - 1

= 27 ÷ 3 - 1

= 9 - 1

= 8

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(21)

12k - h² ( substitute h = 2, k = 3 into the expression )

= 12(3) - 2²

= 36 - 4

= 32

Answer: x = 3

Step-by-step explanation:

[tex]2x-7=\frac{1}{3}x-2\\\\6x-21=x-6\\\\5x-21=-6\\\\5x=15\\\\x=3[/tex]

Answer:

I think it is 20

step by step explanation

Multiples of 10:-

18 is closest to 20

Hence our answer is 20

Step-by-step explanation:

For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).

Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)

Answer:

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

Step-by-step explanation:

you heard of the Pythagoras formula for rectangular triangles ?

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.

so, in your case here we have therefore

x² = 8² + 6² = 64 + 36 = 100

x = sqrt(100) = 10

you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.

Step-by-step explanation:

maybe I am wrong sorry for that but try to understand it

have a great day

Answer:

y = 14/3 and 2

x = -13/3 and 1

(-13/3, 14/3) and (1, 2)

Step-by-step explanation:

[tex]x + 2y = 5 - - - (a) \\ {x}^{2} - {y}^{2} = - 3 - - - (b)[/tex]

for equation (a)

make x the subject of the formular:

[tex]x = 5 - 2y - - - (c)[/tex]

for equation (b)

[tex] {x}^{2} - {y}^{2} = - 3[/tex]

substitute for x as 5 - 2y in equation (b):

[tex] {(5 - 2y)}^{2} - {y}^{2} = - 3 \\ (25 - 20y + 4 {y}^{2} ) - {y}^{2} = - 3 \\ 25 - 20y + 3 {y}^{2} = - 3 \\ {3y}^{2} - 20y + 28 = 0 \\ (3y - 14)(y - 2) = 0[/tex]

therefore,

[tex]y = \frac{14}{3} \: \: and \: \: 2[/tex]

substitute for all values of y in equation (c):

for y = 14/3:

[tex]x = 5 - 2( \frac{14}{3} ) \\ \\ x = 5 - \frac{28}{3} \\ \\ x = - \frac{13}{3} [/tex]

for y = 2:

[tex]x = 5 - 2(2) \\ x = 5 - 4 \\ x = 1[/tex]

Answer:

(1, 2)

(-13/3, 14/3).

Step-by-step explanation:

x + 2y = 5

x² - y² = -3​

From the first equation x = 5 - 2y

Substitute for y in the second equation:

(5 - 2y)^2 - y^2 = -3

25 + 4y^2 - 20y - y^2 = -3

3y^2 - 20y + 28 = 0

Factoring:-

(3y - 14(y  -  2)   = 0

y = 2, 14/3.

So when y = 2, x = 5 - 2(2) = 1.

When y = 14/3, x = 5 - 2(14/3) = -13/3.

Checking the results in the second equation:

(1, 2):-

1^2 - 2^2 = -3    Correct.

(-13/3, 14/3):-

(-13/3)^2 - (14/3)^2 = -3   Correct.

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                            = 59 miles per hour

The Cheetah is faster than the American Antelope

Step-by-step explanation:

5y-6py

y(5-6p)

Answer

hope it helps

Answer:

5y - 6py

y(5-6p)

is the answer

Answer:

first part is 32 inches, second part is 16 inches, third part is 11 inches.

Step-by-step explanation:

2x + x + x - 5 =  59

4x + 64

x = 16.

we can then plug 16 in first parts expression, 2x, for 32. second part is just x so 16. 3rd part is 5 less, x-5, so 11.

Answer:

No solution

Step-by-step explanation:

Distribute the right side of the equation.

This will make it 3/8f+1/2=3/8f - 18

And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions

Answer and Step-by-step explanation:

First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.

[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]

If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.

This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Y-2x=8

Y-x=8/2

Yx=4

Maths gradients

Answer:

b

Step-by-step explanation:

Answer:

Answer D but read below.

Step-by-step explanation:

The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.

Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.

However I think you are expected to answer F which is answer D.

Answer:

The answer is D.

Step-by-step explanation:

I learned it in school.

Answer:8/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

32/100 = 16/50 = 8/25

Answer:

The scientist stated her hypothesis, set up a controlled experiment, and isolated the variable that could affect her work.

Answer:

6x-5

Step-by-step explanation:

14x-4- (3x-2)-(5x+3)= 14x-4-3x+2-5x-3= 6x-5