Which of the following is 1 2 over 4 in its simplest form?

Answer:

(g∘f)(x) = -20x + 22

Step-by-step explanation:

(g∘f)(x) simply means g(f(x))

We are given;

f(x) = -5x + 4

g(x) = 4x + 6

Thus;

(g∘f)(x) = 4(-5x + 4) + 6

(g∘f)(x) = -20x + 16 + 6

(g∘f)(x) = -20x + 22

Answer:

3 7/10

Step-by-step explanation:

37/10 = 3 7/10

Answer:

D

Step-by-step explanation:

log(x^4*sqrt(x^3-2)/(x+1)^5)=log(x^4)+log(sqrt(x^3-2))-log((x+1)^5)

=> 4log(x)+(1/2)*log(x^3-2)-5log(x+1)

Answer:

True

Step-by-step explanation:

We know that distance = rate * time

21 miles = 7 miles per hours * 3 hours

21 miles = 21 miles

True

Answer:

X = 2 is your answer

hope this will help you

Answer:

x=2

Step-by-step explanation:

Answer:

pnj hnu n

126

11

yes ......

....

.

..

x u g

Answer:

D

The y-intercepts of the two functions are opposites.

Step-by-step explanation:

f(x) = 3x-4  which has a slope of 3 and a y intercept of -4

g(x)

m = (5-4)/(3-0) = 1/3

g(x) = 1/3 x +4

g(x) has a slope of 1/3 and a y intercept of 4

Answer:

the answer is to the question is b

Answer:

(-1.5,9)

Step-by-step explanation:

In second quadrant the x- component is negative where as y- component is positive

Answer:

p > -2

Step-by-step explanation:

2p + 8p > -20

10p > -20

10/10p > -20/10

p > -2

p is greater than -2

Answer:

How do you find the unknown angle of a triangle? To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Answer:

a. 1 yard:3 feet

b. 3 feet:1 yard

c. Sean ran exactly a mile

Step-by-step explanation:

For a and b there are 3 feet in a yard

For c a mile is exactly 5280 feet

Answer:

A: 3 : 1

B: 1 : 3

C: less

Step-by-step explanation:

A: There are 3 feet in a yard, so feet: yard would be 3:1

B: For every yard, there are 3 feet, so th ratio would be 1:3

C: Sean ran 1,600 yards. To convert this into feet, multiply by 3. He ran 4,800 feet. Since 4,800 < 5,280, he ran less than a mile

=(

2

1

)

2

+(

2

1

)

2

−1

2

=

2

−1

Therefore, L.H.S = R.H.S

Answer:

+or- sqrt(3/4)

Step-by-step explanation:

If x + m is a factor, that means that when x = -m the equation equals 0. Sub -m into x

0 = (-m)^2 - 5m(-m) + 3

0 = m^2 - 5m^2 + 3

0 = -4m^2 + 3

Factorise

0 = -4(m^2 - 3/4)

0 = -4(m + sqrt(3/4))(m - sqrt(3/4))

:. m = +or- sqrt(3/4)

Answer:

9/50

Step-by-step explanation:

18 % have 7 rooms

18 % means 18 out of 100

18/100

Divide top and bottom by 2

9/50

Answer:

a = 1/42, b = 1/7, c = 1/3 and d = 1/2

Step-by-step explanation:

a = bcd (1)

a + b = cd (2)

a + b + c = d (3)

a + b + c + d = 1  (4)​

Substituting equation (3) into equation (4), we have

a + b + c = d (3)

a + b + c + d = 1  (4)​

(a + b + c) + d = 1  (4)​

d + d = 1  (5)

2d = 1

dividing through by 2, we have

d = 1/2

Taking equation (2) and equation (3), we have

a + b = cd (2)

a + b + c = d (3)

substituting equation (2) into equation (3), we have

a + b = cd (2)

(a + b) + c = d (3)

cd + c = d

Factorizing, we have

c(d + 1) = d

dividing through by d + 1, we have

c = d/(d + 1)

substituting d = 1/2 into the equation, we have

c = d/(d + 1)

c = 1/2 ÷ (1/2 + 1)

c = 1/2 ÷ 3/2

c = 1/2 × 2/3

c = 1/3

Taking equations (1) and (2), we have

a = bcd (1)

a + b = cd (2)

Substituting equation (1) into (2), we have

a = bcd (1)

a + b = cd (2)

bcd + b = cd (2)

Factorizing, we have

b(cd + 1) = cd

dividing through by (cd + 1), we have

b = cd/(cd + 1)

substituting the values of c and d into the equation,, we have

b = cd/(cd + 1)

b = 1/3 × 1/2/(1/3 × 1/2 + 1)

b = 1/6/(1/6 + 1)

b = 1/6 ÷ 7/6

b = 1/6 × 6/7

b = 1/7

Since a = bcd, substituting the values of b,c and d into the equation, we have

a = bcd

a = 1/7 × 1/3 × 1/2

a = 1/42

So, a = 1/42, b = 1/7, c = 1/3 and d = 1/2

Step-by-step explanation:

Rational numbers are real numbers which can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.

Hope it helps you

Mark my answer as brainlist

have a nice day

Answer:

weak positive

Step-by-step explanation:

weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.

positive because the values of data points are rising throughout the graph.

Answer:

Answer:

Area of triangle =1/2b×h

1/2×10×8.7

=44 square inches

Answer:

44

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

where b is the base and h is the height

A = 1/2 (10) (8.7)

A= 43.5

Rounding to the nearest whole number

A = 44

Answer:

ku=a

Step-by-step explanation:

We are given

[tex]u = \frac{a}{k} [/tex]

and we need to solve for a. First let multiply k by both sides to isolate a.

[tex]ku = a[/tex]

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

Given formula

P = 2 (w + l)

Substitute the value into the formula

36 = 2 (w + 3w - 2)

Simplify values in the parentheses

36 = 2 (4w -2)

Divide 2 on both sides

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

Add 2 on both sides

18 + 2 = 4w - 2 + 2

20 = 4w

Divide 4 on both sides

20 / 4 = 4w / 4

w = 5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

5070

Step-by-step explanation:

Total = P(1+rt) =5000(1+0.007*2) =5070

If the question is asking about the amount of interest earnt, its 70

Answer:

6

Step-by-step explanation:

tan 45 = 6 / x

1 = 6 / x

x = 6

Note :

Tan 45 value = 1

Answer:

x=6

Step-by-step explanation:

Since this is an isosceles triangle, the sides must be equal next to the base angles that are equal

x=6

Answer:

Hello,

Step-by-step explanation:

heigth of the equilateral triangle:

[tex]h=3*\dfrac{\sqrt{3}}{2}[/tex]

Area of the triangle:

[tex]A=\dfrac{6*3\sqrt{3} }{2*2} =\dfrac{9\sqrt{3} }{2} \\\\[/tex]

Area of the disk:

[tex]S=\pi*4^2=16\pi\\\\[/tex]

Probability:

[tex]p=\dfrac{9\sqrt{3} }{2*16*\pi}=0.15506125....\approx{15.5\%}[/tex]

Answer:

Step-by-step explanation:

The height of the triangle is given as 6.5, the base is given as 6, therefore, the area of the triangle is:

[tex]A=\frac{1}{2}(6)(6.5)\\A=19.5[/tex]

The area of the circle is:

[tex]A=\pi(4)^2\\A=16\pi\\A=50.26548[/tex]

Divide the area of the triangle by the area of the circle:

[tex]\frac{19.5}{50.2654}*100=38.8[/tex]%

Answer:

His average speed for the whole trip is 5km/hr

Step-by-step explanation:

Answer:

4.8 km/hr

Step-by-step explanation:

Assume that the distance is 24 km (evenly divisible by 4 & 6)

then the A-B time would be 24/4 or 6 hrs.

on the return the time would be 24/6  or 4 hrs.

total time 10 hrs total distance 48 km....

48/10 = 4.8 km/hr

Answer:

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

[tex]\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

[tex]\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta[/tex]

Simplify. The denominator uses the difference of two squares pattern:

[tex]\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta[/tex]

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

[tex]\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]

Split into two separate fractions:

[tex]\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta[/tex]

Rewrite the two fractions:

[tex]\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta[/tex]

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

[tex]\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta[/tex]

Hence verified.

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex] , then

C = [tex]tan^{-1}[/tex] ([tex]\frac{c}{a}[/tex] )

Answer:

Step-by-step explanation:

y+1 =(3/4)x+9/4

y=(3/4)x+1/4

Answer:

3x - 4y + 5 = 0

Step-by-step explanation:

The equation of a line in general form is

Ax + By + C = 0 ( A, B, and C are integers )

Given

y + 1 = [tex]\frac{3}{4}[/tex] (x + 3) ← multiply through by 4 to clear the fraction

4y + 4 = 3(x + 3)

4y + 4 = 3x + 9 ( subtract 4y + 4 from both sides )

0 = 3x - 4y + 5 , that is

3x - 4y + 5 = 0 ← in general form