a. 12.3
b. 8.1
c. 0.1

[tex]\displaystyle\bf h(x)=-4x-7\Longrightarrow h(3)=-4\cdot3-7=-19\\\\Answer:\boxed{ h(3)=-19}[/tex]

Answer:

-19

Step-by-step explanation:

heyya, so if x = 3 you just replace the x in the calculation to 3:

-4 *3 -7

= -12 -7

= -19

Answer:

f) 11

g) 75

please correct me if I am wrong

Answer:

x=1

y= -1

z=2

Step-by-step explanation:

x+y+z=2 and x-y-2z=6

if z=2 then

x+y+2=2 and x-y+4=6

and these become

x+y=0 and x-y=2

usign linear cancellation method we get

2x=2

dividing both sides by 2 we get

x=1

then going back to one of the original equations and plugging x=1 and z=2 we get

1+y+2=2

solving for y we get

y= -1

Answer:

5/4

Step-by-step explanation:

slope = rise/run

slope=y2-y1/x2-x1

slope=9-(-1)/15-7=10/8=5/4

So the answer is 5/4.

Answer:

5/ 4

Step-by-step explanation:

slope of a line is the rate of change of y co-ordinates with respect to the change in x co-ordinates.

therefore,

[tex]slope = \frac{9 - (-1}{15-7) } \\ = \frac{10}{8} \\ = \frac{5}{4} [/tex]

as we were given 2 points the rate of change of x and y co-ordinates will be equal to the difference between the values of each for the two points.

Answer:

67

Step-by-step explanation:

log(3t+9)-log21 = 1

Applying, the law of logarithm,

log(3t+9)/21 = 1

converting the log into index

(3t+9)/21 = 10

solving for t

3t+9 = 21×10

3t+9 = 210

3t = 210-9

3t = 201

t = 201/3

t = 67

Answer:

50 cu ft

Step-by-step explanation:

The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

Boyle's Law states that If the temperature is constant, the volume of a  gas is inversely proportional to the absolute pressure.

V 1/V2 =P2/P1

V2 = P1 x V1 /P2

Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2

V2 = 40 x 14.7 / 60

V2 = 9.8 cu.ft

Volume is approximately 10 cu.ft.

Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

Learn more about Boyles law.

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Answer:

please mark me brainlist

Step-by-step explanation:

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]

Here 5 is a constant so it can come out . So that,

[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]

Now we can write √x as ,

[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]

Simplify ,

[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]

On simplifying we will get ,

[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

[tex] \displaystyle \int_{0} ^{1} 5x \sqrt{x} dx[/tex]

use constant integration rule which yields:

[tex] \displaystyle 5\int_{0} ^{1} x \sqrt{x} dx[/tex]

notice that we can rewrite √x using Law of exponent therefore we obtain:

[tex] \displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx[/tex]

once again use law of exponent which yields:

[tex] \displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx[/tex]

use exponent integration rule which yields;

[tex] \displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1} [/tex]

simplify which yields:

[tex] \displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1} [/tex]

recall fundamental theorem:

[tex] \displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)} [/tex]

simplify:

[tex] \displaystyle 2 [/tex]

hence

our answer is A

Answer:

a) 4-5 = -1

b) -6+6 = 0

c) 6+(-4) = 2

Answer:

P = 157.5 units

Step-by-step explanation:

Answer:

d/b + c - a

Step-by-step explanation:

if there is nothing missing from the problem statement, then this is the only possible answer.

Answer:

1/4, 1/2 and 1/3

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b

So for ease of answering, we can just select values closer to the extremes given

so we can have 1/4, 1/2 and 1/3

These three numbers are all greater than the minimum extreme (-2/3) and less than the maximum extreme

Answer:

I think B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\sqrt{y^3} +\sqrt{9y^3} -3y\sqrt{y} \\=\sqrt{y^2 *y} +\sqrt{9*y^2*y} -3y\sqrt{y} \\=y\sqrt{y} +3y\sqrt{y} -3y\sqrt{y} \\=y\sqrt{y}[/tex]

Answer:

a=15 and x=7

Step-by-step explanation:

first we need to plug in the number to the variable than we try to get a and x by themselves.

I think it's answer is 79 just guess

Answer:

someone help call the police candice just got shot

Step-by-step explanation:

ahahahahahahahhahaa

Answer:

3m

Step-by-step explanation:

1 month =3 movies

m month =3*m movies

Answer:

7500 m

Step-by-step explanation:

5500 is the initial height. It increased by 1500, so 5500 + 1500 = 7000. Then it went down 2000 meters, so 7000 - 2000 = 5000. It went up 2500 again. 5000 + 2500 = 7500

Answer:

3/4

Step-by-step explanation:

tangent is opp/ad

so that is 15/20, or 3/4

Answer:

x = 23

Step-by-step explanation:

if line j is parallel to line k then

5x + 9 + 33 + x = 180 add like terms

6x + 42 = 180 subtract 42 from both sides

6x = 138 divide both sides by 6

x = 23

Answer:

Below.

Step-by-step explanation:

15+10+8=33.

Answer:

13 meters

Step-by-step explanation:

It went 15 meters, but then it went back 10 meters.

[tex]15-10=5[/tex]

Then it went 8 more meters.

[tex]5+8=13[/tex]

Hope this helped! Please mark brainliest :)

Step-by-step explanation:

x=4x+11

11=4x-x

11=3x

x=11/3

x=37

The choose (C) 60

The measure of the angles of a triangle is 180, and this triangle is equilateral, so 180/3=60, each angle is 60°

Slope Formula: y2 - y1 / x2 - x1

(m and slope represent the same quantity)

m = 1 - - 5 / -4 - 0

m = 1 + 5 / -4

m = 6 / -4

m = -3/2

Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).

y = -3/2x + b

1 = -3/2(-4) + b

1 = 6 + b

b = -5

In point form, the y-intercept is (0, -5).

Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.

Equation: y = -3/2 x - 5

To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.

-14 = -3/2(-6) - 5

-14 = 9 - 5

-14 = 4

-14 does not equal 4, therefore the point is NOT on the line.

Hope this helps!

Answer:

-25.2

Step-by-step explanation:

by replacing -6 on the place of x we get4.2(-6)=-25.2

Answer:

15 and 18 i hope it will help you

Hello,

[tex]\begin{array}{c|c|c|}&x&f(x)\\1&-4&-10\\2&-3&0\\3&-2&0\\4&-1&-4\\5&0&-6******\\6&1&0\\\end{array}\\[/tex]

y-intercept is -6

If x=0 then y=-6