If f(x) = 3x + 2 and g(x) = xsquared − x, find the value. f(x) + 1

Answer:

n + 3.9 ≤ 16

An inequality is a mathematical expression represented by less than, greater than, or equal to symbols to compare values or to measure and solve complex equations.

When two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y, direct variation occurs, whereas indirect or inverse variation occurs when an increase in the value of X results in a decrease in the value of Y and vice versa.

Therefore, direct variation occurs when two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y whereas indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that an increase in the value of X results in a decrease in the value of Y and vice versa.

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Answer:

The two smaller angles equal 24 and together they equal 48

Step-by-step explanation:

The bisector tells us that the smaller angles equal each other

3x + 6 = 7x - 18  Subtract 3x from both sides

6 = 4x - 18  Add 18 to both sides

24 = 4x  Divide both sides by 4

6 = x

Now, plug 6 back into each equation.

3x + 6

3(6) + 6

18 + 6

24

7x - 18

7(6) - 18

42 - 18

24

Answer:

B store is cheaper since 790.56<823

B price<A price

Step-by-step explanation:

A:

549(0.5)=274

264+549=823

Josh need to pay the refrigerator for $823 in this store without tax.

B:

549(0.6)= 329.4

329.4+549=878.4

878.4(09)=790.56

Josh need to pay $790.56 in this store without the tax.

C:

B, department store is cheaper so he could pay less

Answer: = 7.27 × 108                          

(scientific notation)

with calculate significant figures         = 7.3 × 108

                                                           (scientific notation)

Step-by-step explanation: hope this helps

Using proportions, it is found that:

1. a) 1/5 of the marbles are red.

b) 40% of the marbles are yellow.

c) 60% of the marbles are not yellow.

d) 11/20 of the marbles are green or yellow.

2) Event A, B and C are the most likely, each with equal probabilities.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For the first problem, we have that there are 3 + 4 + 5 + 8 = 20 marbles, hence:

a) 4/20 = 1/5 of the marbles are red.

b) 8/20 x 100% = 0.4 x 100% = 40% of the marbles are yellow.

c) 12/20 x 100% = 0.6 x 100% = 60% of the marbles are not yellow.

d) 3 are green and 8 are yellow, hence 11/20 of the marbles are green or yellow.

A die has 6 possible outcomes, numbered 1 to 6, hence the probabilities(number of desired outcomes divided by number of total outcomes) are given as follows:

Event A, B and C are the most likely, each with equal probabilities.

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The equation which models the number of calculators packed by the machine in certain minutes is x = 2.5y

No. of calculators packed after 10 minutes = 25 calculators

No. of calculators packed after 30 minutes = 75 calculators

Using the unitary method for finding calculators packed in a minute,

10 minutes = 25 calculators

1 min = 25/10 = 2.5 calculators

Let x be the number of minutes the machine is running

Let y be the number of calculators packed

Formulation of the equation we get:

x = 2.5y

Hence, the equation which gives the number of calculators packed after certain minutes is given by: x = 2.5y

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Answer:

9ft by 9ft

Step-by-step explanation:

Answer:

a = 9

Step-by-step explanation:

Step 1: Add 3 to both sides

2a – 3 = 15

2a – 3 + 3 = 15 + 3

Step 2: Simplify

add the numbers ( 2a = 18 )

Step 3: Divide both sides by the same factor

2a = 18

2a 18

––– = –––

2 2

Step 4: Simplify

l

Cancel the terms that are in both the numerator and the denominator

l

l

Divide the numbers

l

a = 9

Answer: a = 9

Answer:

y = ± √ 7/2

Step-by-step explanation:

2*y^2-8-(6-2*y^2)=0

(2 • (y2)) - 8) - (6 - 2y2) = 0

(2y2 - 8) - (6 - 2y2) = 0

Pull out like factors :

4y2 - 14 = 2 • (2y2 - 7)

4.2 Factoring: 2y2 - 7

difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

2 • (2y2 - 7) = 0

5.1 Solve : 2 = 0

5.2 Solve : 2y2-7 = 0

Add 7 to both sides of the equation :

2y2 = 7

Divide both sides of the equation by 2:

y2 = 7/2 = 3.500

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

y = ± √ 7/2

Answer:

∠ GRS = 74°

Step-by-step explanation:

∠ GRS + ∠ QRG = ∠ QRS , that is

∠ GRS + 105° = 179° ( subtract 105° from both sides )

∠ GRS = 74°

Answer:

75°

Step-by-step explanation:

While it may appear that QRS is a straight line, it is not so since m∠QRS = 179° and if it was a straight line, it would be 180°

The figure actually represents three rays with endpoint at R

The three rays are RQ, RS and RG

Draw another ray RT with endpoint at R and opposite to ray RG. Opposite rays have angles that add up to 180°

Therefore m∠GRT = 180°

m∠SRT = m∠QRG since they are opposite angles

Since m∠QRG = 105°, therefore m∠SRT = 105°

m∠GRS + m∠SRT=180° since these angles are formed by two opposite rays

Substituting we get
m∠GRS + 105 = 180

m∠GRS = 180-105 = 75°

Answer:

arccos(51/100)

Step-by-step explanation:

By the Law of Cosines,

[tex]a^2 = b^2 + c^2 - 2bc \cos A \\ \\ a^2 - b^2 - c^2=-2bc \cos A \\ \\ \cos A=\frac{b^2 + c^2 - a^2}{2bc} \\ \\ m\angle A=\arccos \left(\frac{b^2 + c^2 - a^2}{2bc} \right) \\ \\ =\arccos \left(\frac{10^2 + 5^2 - 8^2}{2(5)(10)} \right) \\ \\ =\arccos(51/100)[/tex]

Answer:

1 1/2+4/5 and the vertical would be graphed?

The number that should fill in the blank is 10. Therefore, the complete equation is 0.05 × x = 0.5.

Given that, 0.05 × ----- = 0.5.

To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Let the number should fill in the blank be x.

So, 0.05 × x = 0.5

⇒ x = 0.5/0.05

⇒ x = 10

The number that should fill in the blank is 10. Therefore, the complete equation is 0.05 × x = 0.5.

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Answer:

y=-2x-1

Step-by-step explanation:

y=mx+b

-7=-2(3)+b

-7=-6+b

-1=b

y=-2x-1

Answer:

10000

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-12+3(-8+(-4)^2-6)+2

first the -4^2

-12+3(-8+16-6)+22

now everything in the parenthesis

-12+3x2+2

now the multiplying.

-12+6+2

now calculate this all together.

-4

Answer:

A) y =  2.91x + 64.61 with x hours after 6:00 am

B) at 2:00pm, temperature is 87.89°

Step-by-step explanation:

(>>Regression Equation y = bx + a )With b- Sum of products/Sum of Square = sq/SSx. a = My- bMx,)

set 6.00 am is an original time, when x = 0

use the unit: hour to get a new table

X time 0, 0.75, 1.5, 2.5, 3, 3.75, 4.5, 5

Y temp 65°, 67", 68° ,72° ,74", 75° ,77° ,78°

a). with temperature y and x hour after 6:00 am,

can get Sum of x = 21 Mx = 2.63

Sum of - 578 My = 72.25

SSx = Sum of (X-Mx)² = 22.25

= sum of (X-Mx)(}-My)= 64.75

So b= sq/SSx =64.75/22.25 = 2.91

a= My- bMx = 72.25 - 291 x 2.63 = 64.61

So regressing equation Y= 2.91x + 64.61

b). at 02:00 pm , means 8 hours after 6:00 am

meaning X-8, )= 2.91×8 + 64.61 = 87.8)

The required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°

Given that,
The table shows the recorded temperature on a certain day starting at 6:00 am.

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,
The standard form of the regression equation,
y = bx + a,
where b = sum of product/sum of squares a = My - bMx
Since
b = 2.91 , My = 72.25, Mx = 2.63
a = 72.25 - 2.91 * 2.63
a = 64.6
The required regression equation is,
y = 2.91x + 64.6

B)
For 2.00 PM, x = 8
Now,
y = 2.91 * 8 + 64.6
y = 87.8°

Thus, the required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°

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Answer:

[tex]x = 17[/tex].

Step-by-step explanation:

Simplify the given equation:

[tex]2\, (x - 1)^{3/4} = 16[/tex].

[tex](x - 1)^{3/4} = 8[/tex].

[tex]((x - 1)^{1/4})^{3} = 8[/tex].

Take the cubic root of both sides to eliminate the numerator of the exponent. Only roots of even degree could introduce alternative solutions. Since the degree of this root is an odd number, this step would not create extraneous solutions.

[tex]\sqrt[3]{((x - 1)^{1/4})^{3}} = \sqrt[3]{8}[/tex].

[tex](x - 1)^{1/4} = 2[/tex].

Raise both sides to the fourth power to eliminate the denominator of the exponent:

[tex](x - 1) = 2^{4}[/tex].

[tex]x - 1 = 16[/tex].

[tex]x = 17[/tex].

Substitute the solution [tex]x = 17[/tex] into the equation:

[tex]\begin{aligned}& 2\, (17 - 1)^{3/4} \\ =\; & 2\times (16^{1/4})^{3} \\ =\; & 2 \times 2^{3} \\ =\; & 16\end{aligned}[/tex].

Thus, [tex]x = 17[/tex] isn't an extraneous solution since setting [tex]x[/tex] to [tex]17[/tex] satisfies the original equation.

Answer:

212.

Step-by-step explanation:

Given: 3m^2 + 2p^2 - 15

When m = 3 and p = 10

Substituting the values

= 3(3)^2 + 2(10)^2 - 15

By further calculation

= 3(9) + 2(100) - 15

So we get

= 27 + 200 - 15

= 212

Therefore, the value of the expression is 212.

Triangle ABC with coordinates A (2, 4),

B (3, 6), and C (5, 1) is translated

4 units horizontally is (6,4), (7,6) ,( 1,9)

A triangle is a basic polygon with three sides and three internal angles. It is one of the fundamental shapes in geometry in which the three vertices are connected together, and it is represented by the symbol. Triangles are categorized into many sorts based on their sides and angles. All geometrical shapes have unique qualities relating to sides and angles that aid in their identification. The following are some of the most important qualities of a triangle.

There are three sides, three vertices, and three internal angles in a triangle.

The angle sum property of a triangle asserts that the sum of a triangle's three internal angles is always 180°. Consider the triangle PQR shown above .

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We get that, for the equation 2 x + 2 y = 8, when we solve for y, we get the result as y = 4 - x.

We are given an equation:

2 x + 2 y = 8

Divide both the sides by 2, we get that:

2 x / 2 + 2 y / 2 = 8 / 2

x + y = 4

Now, we will subtract x from both the sides, so, we get that:

x + y - x = 4 - x

y = 4 - x

Therefore, we get that, for the equation 2 x + 2 y = 8, when we solve for y, we get the result as y = 4 - x.

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Answer: electronics worth $1,650

1500 (1+5%)^2 = $1653.75

3.75 dollars will be left over.

Step-by-step explanation:

The missing step 7 in the two column proof is; Consecutive ∠s in a ▱ are supplementary

We are told that WXYZ is a parallelogram in which  we have to prove that: WXYZ is a rectangle. The two column proof is as follows;

           Statement                                              Reason

1. WXYZ is a parallelogram,                 1. Given

    ZX ≅WY

2.  ZY ≅ WX                                           2. Opposite sides of parallelogram

                                                                 are congruent.

3.  YX≅YX                                            3. Reflexive property of congruence

4. ΔZYX ≅ Δ WXY                             4.  SSS congruence postulate

5.  ∠ZYX ≅ ∠WXY                                 5. CPCTC

6. m∠ZYX ≅ m∠WXY                            6. definition of congruence.

7.m∠ZYX + m∠WXY = 180°                   7. Consecutive ∠s in a ▱ are

                                                                   supplementary

8.m∠ZYX + m∠ZYX = 180°                    8. By substitution

9. 2(m∠ZYX) = 180°                                9. By simplification

10.m∠ZYX = 90°                                     10. Division property of equality

11. WXYZ is a rectangle                       11. Rectangle angle theorem.

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The total walking distance of the week is 12.1 km.

So, let the total walking distance be 'x'.

Then,

Therefore, the total distance of walking in the week is 12.1 km.

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The factoring of the expression 4 x²=-8 x+5 is (2x-1) (2x+5)

By ordering the values, we get:

4 x² + 8 x - 5

To solve this exercise, we have to follow the rules of factoring:

1. Factor 8 from 8x:

4 x² + 8 x - 5

4 x² + (-2 + 10) x - 5

2. Apply the distributive property:

4 x² - 2x + 10x - 5

3. Groups the first two terms and the last two terms:

(4 x² - 2x) + 10x - 5

4. Factorize the greatest common denominator (GCM) of each group:

2x(2x - 1) + 5(2x-1)

5. Factor the polynomial by factoring the greatest common denominator, (2x-1):

(2x-1) (2x+5)

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

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Danladi says that it cannot be rewritten as either of these expressions. He is correct.

It should be noted that 2³ × 42 will be:

= 2³ × 42

= 8 × 42

= 336

Therefore, Zoe says that 2³.42 can be rewritten as 86 and Juana says that it can be rewritten as.85. They're both wrong.

In the other hand, Danladi says that it cannot be rewritten as either of these expressions. Therefore, he is correct.

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