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3 years ago

Can someone help me please asap because I'm late with this and I need help with this down below

Mathematics

1 answer:

astra-53 [7]3 years ago

4 0

Answer:

f ^ − 1 ( x ) = 2 x /x − 1

Step-by-step explanation:

the top left one

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I don't know how to do this

vesna_86 [32]

He could have 30 dimes and 13 quartars

7 0

2 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

<em>Find the value of y</em>

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

A juice pitcher holds 1.5 gallons of liquid. How many 8-ounce glasses of juice can be poured from a full pitcher? (1 gallon = 12

larisa86 [58]

$1gallon=128ounces\\To\ receive\ volume\ of\ pitcher\ in\ onces\ we\ need\ to\ multiply\ its\\volume\ in\ gallons\ by\ ounces\ in\ 1\ gallon.\\1,5g=1,5*128=192o\\Now\ to\ receive\ answer\ we\ need\ to\ divide\ volume\ of\ pitcher\ in\\ounces\ by\ volume\ of\ glass.\\192:8=24\\\\We\ need\ to\ 24\ glasses.$

6 0

3 years ago

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.

Simora [160]

Answer:

x ~0.9

Step-by-step explanation:

To solve for (x) in the given right triangle, use the trigonometric ratios, which are the following,

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Each of the sides of a triangle is named with respect to the given angle. In this problem, one is given the side opposite to the given angle, and the side adjacent to it. Use the ratio of tangent (tan) to solve for the unknown side.

$tan(83)=\frac{7}{x}$

Manipulate the equation so that it is solved for (x),

$x=\frac{7}{tan(83)}$

x ~ 0.859

3 0

2 years ago

Help me with this question math please

Dafna1 [17]

Answer:

42.94$ is the answer.....

6 0

2 years ago