Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.
(f + g)(t – 5)

Answer:

His 2013-2014 salary will be $503,230

Step-by-step explanation:

His new salary will be

490,000 + 2.7% of 490,000

= 490,000 + (2.7/100 * 490,000)

= 490,000 + 13,230

= $503,230

Answer:

Answer: A   [tex]\overline{TM}\cong \overline{OR}[/tex]

Step-by-step explanation:

The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.

Both triangles are right because they have an internal angle of 90°, so the second condition is also met.

Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.

One of these two conditions should be met:

Side TM is congruent to side OR, or

Side MO is congruent to side RT.

From the available options, only the first is correct.

Answer: A [tex]\mathbf{\overline{TM}\cong \overline{OR}}[/tex]

Answer:

37

Step-by-step explanation:

37

Answer: 121

Step-by-step explanation:

11 x 11 is 121 so same number of rows and columns

Answer:

1260=(2-n)180

1260=360-180n

1260_360=-180n

900= -180n

n=900/-180

n= -5

n=

900/-180

Answer:

-24/35

Step-by-step explanation:

Find common denominators

140 is one

So, -126/140 + 30/140

This would be -96/140

Simplify

-48/70

Simplify some more

-24/35

Hope this helps :)

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Answer:

-24/35

Step-by-step explanation:

Giving the fractions a common denominator:

-126/140 + 30/140

Adding:

-96/140

Dividing the numerator and denominator by 4:

-24/35

Answer:

C & D. check the image just in case the order changes

Step-by-step explanation:

A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The sum of the two positive numbers is 37, and their difference is 7.

Let x and y be the numbers:

x > 0 and y > 0

x + y =37

x - y = 7

The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.

After solving the above equation by elimination method:

2x = 44

x = 22

22 - y = 7

y = 22 - 7

y = 15

Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

Learn more about the linear equation here:

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Answer:

3 zeros

Step-by-step explanation:

The given function is   4x^3-x^2-2x+1

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.

Answer:

Step-by-step explanation:

4x3 − x2 − 2x + 1

I show one zero. X= - 0.78769256

Answer:

25

Step-by-step explanation:

3x+2x+55=180

5x+55=180

5x=180-55

5x=125

X=125/5

X=25

So the value of X is 25

Answer:

The answer is "Thus a chosen random book has a 15.87% chance of fewer than 170 pages".

Step-by-step explanation:

[tex]Mean = 190\\\\\text{Standard devaition} \ \sigma= 20\\\\\to P(\bar{x}<70)\\\\Z = \frac{(170-190)}{20}[/tex]

   [tex]= \frac{-20}{20} \\\\=-1[/tex]

It found a p-value from its empirical rule:

[tex]\to P(\bar{x}<170) = 0.1587[/tex]

Answer:

the customer is wrong

Step-by-step explanation:

when he raised then 50 % they became $150 and then If you do the work 50% of $150 is $75 .

100+%50

150

150-%50

75

The customer is wrong because the new price of the shoe is $75 and not $100.

When the shop owner raises the price of a $100 pair of shoes by 50%, then the new price will be:

= $100 + (50% × $100)

= $100 + $50

= $150

Then, the owner reduces the price by 50%, then the new price will be:

= $150 - (50% × $150)

= $150 - $75

= $75

Therefore, the new price is $75.

Read related link on:

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Answer:

The amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.

Step-by-step explanation:

Let x represents the amount borrowed at 20% simple interest.

Let y represents the amount borrowed at 5% simple interest.

Therefore, the amount borrowed at 5% simple interest will be:

y = 9000 - x ........................... (1)

As a result, we will have:

20%x =  interest at the end of 1 year from the amount borrowed at 20% simple interest

5% * (9000 - x) = 450 - 5%x = interest at the end of 1 year from the amount borrowed at 5% simple interest

Since the total interest at the end of 1 year was $1500, we have:

20%x + 450 - 5%x = 1500

We can now solve for x as follows:

20%x - 5%x = 1500 - 450

15%x = 1050

x = 1050 / 15%

x = 7000

Substituting x = 7000 into equation (1), we have:

y = 9000 - 7000

y = 2000

Therefore, the amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.

Answer:

Step-by-step explanation:

150% is equivalent to 1.5 so the answer is:

1250 * 1.5

= 1875.

Answer:

1875

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6/1=6

Answer:

1/2 because that %50

Step-by-step explanation:

Answer:

1/35

Step-by-step explanation:

Answer:

Sorry Its too small

Step-by-step explanation:

Answer:

i think it is 15v (E) = √(2E/m)

Step-by-step explanation:

From the question given:

E = ½mv²

E is the kinetic energy

m is the mass of object

v is the velocity.

To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.

This can be obtained as follow:

E = ½mv²

Cross multiply

mv² = 2E

Divide both side by m

v² = 2E/m

Take the square root of both side

v = √(2E/m)

Therefore, the model v(E) for the velocity of the object is given by:

v (E) = √(2E/m)

The inverse function v(E) to find the velocity of a 15-kilogram object

with kinetic energy E should be [tex]15v (E) = \sqrt (2E/m)[/tex]

Since we know that

[tex]E = 1\div 2mv^2[/tex]

Here,

E is the kinetic energy

m is the mass of object

v is the velocity.

Now we can write like

[tex]mv^2 = 2E[/tex]

So,

[tex]v^2 = 2E/m[/tex]

Now Take the square root of both side

So,

[tex]v = \sqrt (2E/m)\\\\v (E) = \sqrt (2E/m)[/tex]

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Answer:

28/100 * 100

the answer is 28 %

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{12}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 \div \frac{1}{6}} [/tex]

We know that division by fraction is the inverse of multiplication. If any number or fraction is divided by a fraction , we multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator.

[tex] : \longrightarrow{ \: 2 \times \frac{6}{1} }[/tex]

Multiply

[tex] : \longrightarrow{ \boxed{ \bold{ \text{12}}}}[/tex]

And we're done!

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

D. 12

Step-by-step explanation:

2 = 2/1

2/1 ÷ 1/6 =

2/1 × 6/1 =

12/1 = 12

Answer:

y−28=3(x−6)

I took the test. I hope this helps

Answer:

.5 of a minute

Step-by-step explanation:

Answer:

x + -2

Step-by-step explanation:

(editing answer to add how i got it)

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

-3 (2x +4)

Multiply using the distributive property.

− 6 x − 12 /2

3(2)(-3x - 4)

divide these by 2 will get you

SO ITS 3(2) +6 = 3(2) (2x +4)

Answer:

-2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's look at g(3) first. It is stated in the problem that g(3) = 2.

We then use this value for f(x). It is stated in the problem that f(2) = 3.

The answer is 3.

Answer:

what line are you talking about

Step-by-step explanation:

using Pythagoras theorem adjacent will be 15

so cos will be adjacent/hypotenuse

which is 15/17=0.882

Answer:

1 pound of grapes cost 3$

Step-by-step explanation:

If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6

Answer:

60

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

at 3 weeks there would be 10,6 weeks would be 15,9 weeks 20, 12 weeks is 25

Answer:

A is answer

Step-by-step explanation:

Cuz once you solve it isn't a fraction any more

I think