. Write the equation of a line in the graph below.
A. y = 3x - 2
B. y = 3x + 2
C. y = -3x - 2
D. y = -3x + 2

Answer:

x = -6 ± 2sqrt(10)

Step-by-step explanation:

x^2 + 12x+3 = 7

Subtract 3 from each side

x^2 +12x = 4

Take the coefficient of x

12

Divide by 2

12/2 = 6

Square it

6^2 =36

Add this to each side

x^2 +12x +36 = 4+36

(x+6)^2 = 40

Take the square root of each side

sqrt((x+6)^2) =± sqrt(40)

x+6 = ± sqrt(40)

x+6 = ± sqrt(4)sqrt(10)

x+6 =± 2sqrt(10)

Subtract 6 from each side

x+6-6 = -6 ± 2sqrt(10)

x = -6 ± 2sqrt(10)

Answer:

(x + 6)² = 40 → x = ±2√10 - 6

Step-by-step explanation:

x²+12x+3=7 can be solved by completing the square

To do so we must first find the term we are adding to both sides of the equation by using [tex](\frac{b}{2} )^2}[/tex]

In this case, our b is 12, so plugging this into the formula we get [tex](\frac{12}{2} )^{2} =6^{2} =36[/tex]

We first need to subtract the 3 from both sides of the equation to get x²+12x=4

We then can add the 36 to both sides of the equation: x² + 12x + 36 = 4 + 36 → x² +12x + 36 = 40

Now we are able to factor the left side of the equation to get (x + 6)² = 40

To solve for x we need to take the square root of both sides [tex]\sqrt{(x+6)^{2} } =\sqrt{40}[/tex] to get x + 6 = ±2√10

Then we need to subtract 6 from both sides to get x = ±2√10 - 6

The first four iterates of the function f(x) are 23, 163, 1143 and 8003

The function is given as:

[tex]f(x) = 7x + 2[/tex]

Where:

[tex]x_o=3[/tex]

Substitute 3 for x in f(x)

[tex]f(3) = 7 \times 3 + 2[/tex]

[tex]f(3) = 23[/tex]

Substitute 23 for x in f(x), for the next iteration

[tex]f(23) = 7 \times 23 + 2[/tex]

[tex]f(23) = 163[/tex]

Substitute 163 for x in f(x), for the next iteration

[tex]f(163) = 7 \times 163 + 2[/tex]

[tex]f(163) = 1143[/tex]

Substitute 1143 for x in f(x), for the next iteration

[tex]f(1143) = 7 \times 1143 +2[/tex]

[tex]f(1143) = 8003[/tex]

Hence, the first four iterates of the function f(x) are 23, 163, 1143 and 8003

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I'm pretty sure you would be evaluating P(6,2)

Answer:

P(6,4)

Step-by-step explanation:

If you divide 6! by 4! you are evaluating P(6,4).

Answer:

4(x)+ 4(2)

Step-by-step explanation:

4(x + 2) = 4(x)+ 4(2)

Answer:

Hamburger patty is 5.67 per ounce and the fish is 5.33 per ounce

Step-by-step explanation:

The hamburger patty has approximately 5.7 grams of protein per ounce and the fish has approximately 5.3 grams of protein per ounce.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

[tex]4\frac{1}{2}[/tex] ounce hamburger patty has [tex]25\frac{1}{2}[/tex] grams of protein

[tex]4\frac{1}{2}[/tex]  = 9/2

[tex]25\frac{1}{2}[/tex] = 51/2

Let's suppose each hamburger patty has x grams of protein so the value of x:

[tex]\rm x = \frac{\frac{51}{2}}{\frac{9}{2} }[/tex]

x = (51/2)×(2/9)

x = 5.66 ≈ 5.7 grams of protein

For fish Let's suppose each fish has y grams of protein so the value of y:

[tex]\rm y =\frac{32}{6}[/tex]

y = 5.3 grams of protein

Thus, the hamburger patty has approximately 5.7 grams of protein per ounce and the fish has approximately 5.3 grams of protein per ounce.

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Answer:

0 x-intercepts

Step-by-step explanation:

In order to find the x-intercepts ,you need to solve this equation

x² + 4x + 5 = 0 for x  and see how many solutions you get:

x² + 4x + 5 = 0

∆ = 4² - 4×1×5 = 16 - 20 = -4

since ∆ < 0 Then the equation has no solution then our Function has none x-intercepts.

check the graph of the function f(x) = x² + 4x + 5 (below)

Answer:I don't know if your answer is there:/ -6.858

Step-by-step explanation:

64.2

100

−7.5

=0.642−7.5

=−6.858

Answer:

the answer is B.

Step-by-step explanation:i passed on the quiz if you would like to do the math you can ^^

Answer:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (2, - 10) ← 2 ordered pairs from the table

m = [tex]\frac{-10+7}{2-1}[/tex] = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (2, - 10) , then

- 10 = - 6 + c ⇒ c = - 10 + 6 = - 4

y = - 3x - 4 ← equation of linear function

Answer:

x = 9

Step-by-step explanation:

8x - 10 = 62

Add 10 to each side

8x-10+10 = 62+10

8x = 72

Divide each side by 8

8x/8=72/8

x = 9

Answer: -4

Step-by-step explanation:

negatives are basically just 1-2-3

Answer:

-4

Step-by-step explanation:

1+(-2)=-1

-1+(-3)=-4

so the simplified is -4

We have been given two similar triangles. We are asked to find the length of segment EF.

We know that corresponding sides of similar triangles are proportional, so we will use proportion to solve our given problem.

[tex]\frac{EF}{DF}=\frac{BC}{AC}[/tex]

Upon substituting measure of our given side lengths, we will get:

[tex]\frac{EF}{1}=\frac{5}{13}[/tex]

[tex]EF=\frac{5}{13}[/tex]

Therefore, the length of segment EF is [tex]\frac{5}{13}[/tex] units.

Answer:

A

Step-by-step explanation:

Equation of the dotted line:

Slope: (-2-1)/(-2-0) = -3/-2 = 3/2

y = (3/2)x + 1

Region lies below the line, and the line is dotted:

y < (3/2)x + 1

Answer:

The answer is actually a proper fraction = 7/20

Step-by-step explanation:

A mixed fraction is expressed as : a b/c

Let the mixed fraction be represented by Y

a) The fraction is halved

= Y ÷ 1/2 = Y/ (1/2)

In mathematics, when we divide a number by a fraction, the number is multiplied by the reciprocal of the fraction.

Y × 2 = 2Y

b) Then 3/4 is added

= 2Y + 3/4

c)The result is 1 9/20

2Y + 3/4 = 1 9/20

Converting the mixed fraction to improper fraction, we have

1 9/20 = (20 × 1) + 9/ 20 = 29/20

Therefore,

2Y + 3/4 = 29/20

2Y = 29/20 - 3/4

The Lowest common multiple of the right hand side = 20

2Y = (29 - 3×5)/ 20

2Y = 29 - 15/20

2Y = 14/20

2Y = 7/10

To find Y , we cross multiply

2Y × 10 = 7

20Y = 7

Y = 7/20

Therefore, the mixed fraction represented by Y is actually a proper fraction = is 7/20

Answer:

a = 1

b = 2

c = 5

Step-by-step explanation:

Given

Mixed fraction: a b/c

Result after arithmetic operations = 1 ⁹/20

Required.

Find a, b, c

From the question, the fraction is halved. This is represented as follows

a b/c ÷ 2

= a b/c * ½

Then, ¾ is added. This is represented by

a b/c * ½ + ¾

The result is 1 ⁹/20. This is represented by

a b/c * ½ + ¾ = 1⁹/20

Convert mixed fraction to improper fraction

a b/c * ½ + ¾ = 29/20

Subtract ¾ from both sides

a b/c * ½ + ¾ - ¾ = 29/20 - ¾

a b/c * ½ = (29 - 15)/20

a b/c * ½ = 14/20

a b/c * ½= 7/10

Multiply both sides by 2

2 * a b/c * ½= 7/10 * 2

a b/c = 14/10

a b/c = 7/5

Convert mixed fraction to improper fraction

a b/c = 1⅖

By comparison,

a = 1

b = 2

c = 5

Answer:

(2/3) bagel per student

Step-by-step explanation:

Find the unit rate (fraction of a bagel per person):

 4 bagels

----------------- = (2/3) bagel per student

6 students

Answer:

6^7

Step-by-step explanation:

6^3  * 6^4

We know that a^b*a^c = a^(b+c)

6^(3+4)

6^7

Answer:

6^3 x 6^4 = 279936

Hope this helped!

Answer: D) 48.75

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: length x width

Replacing with the values given and solving for A (area)

A= 7.5 ft x 6.5 ft =48.75 ft2

The area of the garden in square feet is 48.75. (option D).

Feel free to ask for more if needed or if you did not understand something.  

Answer:

10π

Step-by-step explanation:

The circumference of a circle can be found with the formula πd, where d is the diameter. When we plug in 10 for d, we get 10π inches. Hope this helps!

That's a vertical line, no slope, so no y=something.  

Answer: x = -9

Answer:

c

Step-by-step explanation:

the answer is c

The simplified value of the exponential expression 16^(1/4) is 2.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplified value of the exponential expression 16^(1/4) is,

[tex]16^{\frac14}\\\\= \sqrt[4]{16}\\\\= \sqrt[4]{2^4}\\\\= 2[/tex]

Hence, the simplified value of the exponential expression 16^(1/4) is 2.

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Answer:

Q: How much of the cylinder does the sphere fill

A: The sphere fills the whole cylinder

Step-by-step explanation:

The sphere's height, as written in the picture (The red words) says 2r and the same goes for the cylinder, therefore if they both say, "h = 2r" then it is evident that they both are equivalent. Therefore, the Sphere fills up the whole cylinder.

Answer:

21 cm

Step-by-step explanation:

Since this is an isosceles triangle, the two sides with a line through them must have the same value of x. Therefore, you can set up the following equation:

2x+11=53

2x=42

x=21 cm

Hope this helps!

Answer:

21

Step-by-step explanation:

53 - 11 = 42

42/2 = 21

~ Please mark me as brainliest :)

Answer: O = m + 40

Step-by-step explanation: O is 40 feet taller than the maple, so we can use m (maple). However tall the maple is, we just add 40.

Hope this helps :)

Answer:

DE=3 cm

Step-by-step explanation:

From the information we know, we can tell that triangle ABC is a scale factor of 2 from triangle DEF, because 10/5=2.

Side DE would be proportional to side AB.

Side AB is 6, so we would have to divide that by 2, because of our scale factor.

6/2=3.

Hope this helped! Have a good rest of your day!

Answer:

company b 10,080 dollars

Step-by-step explanation:

23  number of uniforms that will result in equal costs at both companies.

Two or more expressions with an Equal sign is called as Equation.

Given that there are 25 students in the school's Pep Club.

The Pep Club can buy new uniforms from 2 different suppliers:

Company A charges $500, plus $22 per uniform.

Company B charges $360, plus $28 per uniform.

500+22x=360+28x

Subtract 360 on both sides

500+22x-360=28x

140+22x=28x

Subtract 22x on both sides

140=6x

Divide both sides by 6

x=23.3

The number of uniforms that will result in equal costs at both companies is 23.

The company A charges more than company B.

company B should the Pep Club choose

Hence, 23  number of uniforms that will result in equal costs at both companies.

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Answer:

B

Step-by-step explanation:

45x=140-5

x=135:45

x=3

(B)

Answer:

Step-by-step explanation:

 45x + 5 = 140  find x

 45x + 5 = 140

45x = 140 - 5

45x = 135

x = 135/45

x = 3

When the chords intersect inside the circle the sum of the vertical angles and the sum of the referenced arcs are the same.  Since the vertical angles are congruent, each is half the sum of the referenced arcs.

Similarly when the chords intersect outside the circle, the angle is half the difference of the arc measures.

It's the same with a tangent; in that case there's just not a part of the arc that's not counted on the side with the tangent.

OK, that's how.  Let's try some.

1.  x = (88 + 86)/2 = 87

2. x = (150 - 60)/2 = 45

3. The angle is exactly half the subtended arc,

x = 110/2 = 55

4. The referenced arc is 360 - 220 = 140 degrees and x is half, 70.

5.  Outside, half the difference, x = (90-20)/2 = 35

6.  Angle outside, inner arc 6 degrees, vertical angle is 90 degrees.

90 = (x - 6)/2

180 = x - 6

x = 186

7.  There's a special rule for this case but we can treat it as outside, little arc x, big arc 360-x,

60 = (360 - x  - x)/2

120 = 360 - 2x

2x = 240

x = 120

8. Inner arc x, outer arc is 360-140-x = 220-x.  Half the difference is 38,

38 = (220 - x - x)/2

76 = 220 - 2x

2x = 220 - 76

x = (220 - 76)/2 = 72

9.  x is formed by a tangent and a radius, so a right angle, x=90

y is subtended by a 35 degree angle so y=70

10.  Remaining triangle angle is 180 - 62 - 28 = 90.  Arc that subtends it is double, 180.  That means the long side is a diameter.

11.  Remaining triangle angle is 180 - 50 - 70 = 60. x=120, y=100, z=140

12.  Remaining arc 360 - 170 - 90 = 100.  Angles are half.

x=45, y=50, z=85

Answer:

Divide the outcome with the frequency

An experiment consists of rolling a standard number cube. The experimental probability of each event is as follows 1/6, 1/8, 5/36, and 2/13.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Form the result in the table of outcomes and the frequency

a. The probability of rolling a 1 = 1/6

b. The probability of rolling a 5 = 1/8

c. The probability of not rolling a 3 = 5/36

d. The probability of not rolling a number less than 5 = 2/13

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Answer:

C

Step-by-step explanation:

C

46x+23=46x+23

23=23

Infinitely many solutions

Answer:

1.5

---------------------

Answer:

Shape B (The 2 by 12 one)

Step-by-step explanation:

Because the volume of shape B is 24 and the volume of shape A is 18.

The prism that could represent the prism that jake built is prism B.

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

The volume of the prism = 24 cubic centimetres.

The volume of a cube = 1 cube centimetre

This means a total of 24 cubes would have been used to make a prism of 24 cubic centimetres volume.

So, the prism that jake built is prism B i.e. 2*18 type prism.

Hence, the prism that could represent the prism that jake built is prism B.

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