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answer is below in attachment

Answer:

-18

Step-by-step explanation:

Hope it helps....................................................

The solutions are the intersection point of both graphs

So there mUST be two solutions

The intersections are

The x values are solution

Option C

Answer:

C. 0 and 3

Step-by-step explanation:

The solutions of f(x) = g(x) are the values of the x-coordinates of the points where the two graphed functions intersect.

From inspection of the graph, the points of intersection are:

Therefore, the solutions are 0 and 3 (since they are the x-values).

Proof

[tex]\implies f(x) = g(x)[/tex]

[tex]\implies |x + 3| = x^2-2x+3[/tex]

We only need to take the positive form of |x+3| since we can see from the graph that g(x) intersects f(x) when |x+3| is positive:

[tex]\implies x + 3 = x^2-2x+3[/tex]

[tex]\implies x^2-3x=0[/tex]

[tex]\implies x(x-3)=0[/tex]

[tex]\implies x=0, 3[/tex]

Thus confirming that the solutions are when x = 0 and 3

Answer:

6^7

Step-by-step explanation:

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 13 to get 7.

​

Answer:

6^7

Step-by-step explanation:

6^13/6^6 = 6^7

Answer:

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

substitute y = 4 into the expression

y² + 6y + 8

= 4² + 6(4) + 8

= 16 + 24 + 8

= 48

Answer:

x=-10

Step-by-step explanation:

2x²-7x=0+30

2x²-7x=30

4x-7x=30

-3x=30

x=-10

Answer:

Step-by-step explanation:

(2x + 5)(x - 6) = 0

2x + 5 = 0

x = -5/2

x - 6 = 0

x = 6

Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

For two perpendicular lines, we have:

m₁m₂ = -1.

From line k, we have this equation:

y = 1/3x - 2

From line m, we have this equation:

-2x + 6y = 18.

6y = 18 + 2x

y = 18/6 + 2/6x

y = 1/3x + 3.

Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.

Read more on slope here: brainly.com/question/3493733

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Probability of pulling out the Blue Marbels = 4/9

Step-by-step explanation:

Red Marbels = 3

Blue Marbels = 4

Yellow Marbels = 2

Total Marbels = 9

P( Blue Marbels) = Number of favorable outcomes/Total number of possible outcomes = 4/9

Step-by-step explanation:

Converting 20 minutes into second....

20 × 1 minute

20 × 60 seconds

1200 seconds...

Answer:

y=2.5, x=1.5

Step-by-step explanation:

y=1/2+2 ---(1)

y=x+1 ---(2)

y=1/2+2=2.5

Substitute y=2.5 into equation (2)

y=x+1

2.5=x+1

2.5-1=x

x=1.5

Answer:

C) [tex]628\:\text{cm}^2[/tex]

Step-by-step explanation:

[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(\frac{10}{2})(15)+2\pi(\frac{10}{2})^2\\ \\SA=150\pi+50\pi\\\\SA=200\pi\:\text{cm}^2\approx628\:\text{cm}^2[/tex]

Answer:

x = 81

Steps:

It says that y ~ √x

We have points (9, 18) as a guide.

We can write y = f(x) = a√x +b

Use points (9, 18) as a guide

18 = a√9 +b

18 = 3a + b

One solution might be a = 6, which means f(x) = 6√x

Thus when y = 54,

54 = 6√x

9 = √x

81 = x

Answer:

6.84 hours

Step-by-step explanation:

I will have to assume  100 is fully charged and that it drains 1/9 of 100 for each hour

76 / ( 100 * 1/9) = 6.84 hrs

A function assigns the values. The value of f(z)=8z³-5z² +9z+9 will be 929.

A function assigns the value of each element of one set to the other specific element of another set.

The value of f(z)=8z³-5z² +9z+9, when the value of z is 5 will be,

f(z)=8z³-5z² +9z+9

f(5)=8(5)³-5(5)² +9(5)+9

f(5)= (8×125) - (5×25) + (9×5) + 9

f(5) = 1,000 - 125 + 45 + 9

f(5) = 929

Hence, the value of f(z)=8z³-5z² +9z+9 will be 929.

Learn more about Function:

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Answer:

x= 96

Step-by-step explanation:

I know this is might not be the best reasoning, but if 56+40=96, then the other consecutive angle should be 96 degrees by the Consecutive Interior Angles theorem.

Answer: 4

Step-by-step explanation:

If there are 13 girls in a class of 23, we can assume there are 10 boys. If 4 girls play chess and there are 10 pupils who play chess, we can guess that the remaining 6 are boys. If there are 10 boys, and 6 of them play chess, there are 4 who do not.

Step-by-step explanation:

The slope formula from 2 points is:

m=(y2-y1)/(x2-x1)

So input the numbers:

m = (6 - -2) / (5 - 2)

Solve within parenthesis:

m = (8) / (3)

Then divide!
8/3 = 2 2/3

the slope of the line is 2 and 2/3

Answer:

a: 44%

(11×100)÷25=44

b: 3

2×4=8

3×1=3

8+3=11

14-11=3

Answer:

Using Logic...she is shorter than most children at that level.

Step-by-step explanation:

Ashmita is 63 inches tall which is 5 foot 3. or 5.25 feet

When AP stats starts you should be in Highschool.

Here are the averages of highschool students, in height.

14 years = 5ft 4.5in (163.8 cm)  5ft 2.5in (158.7 cm)

15 years  = 5ft 7in (170.1 cm)  5ft 2.9in (159.7 cm)

16 years  = 5ft 8.3in (173.4 cm)  5ft 4in (162.5 cm)

17 years  = 5ft 9in (175.2 cm)  5ft 4in (162.5 cm)

Answer:

41.25%

Step-by-step explanation:

Of the 80 digits generated, 33 of them are 0,1,2, or 3.

(Yup, I counted them)

So, 33/80 = 0.4125 = 41.25%

Answer:

95%

Step-by-step explanation:

Step 1: Find samples with 0, 1, 2 or 3.

Example: count 7918 it has a one

Example two: count 2546 it has a two

Step 2: Once all the samples with 0, 1, 2 or 3 are counted put it into a fraction.

Example: For this particular question there were 19/20 samples with numbers 0, 1, 2 or 3.

Step 3: Change the fraction into a percentage after that you will have your final answer.

Step-by-step explanation:

there is a rectangle and an octagon within

area of rectangle = 8*9 = 72

there are 4 right angled triangles

area of one such triangle = .5 × 9 = 4.5

total area of triangles = 18

area of octagon = 72-18 = 54 m^2

Answer:

Here is the ans ...hope it helps

Answer:

[tex]\left \{ {{y=5} \atop {x=3}} \right.[/tex] or [tex]\left \{ {{y=-3} \atop {x=-5}} \right.[/tex]

Step-by-step explanation:

Answer:

(- 5, - 3 ) , (3, 5 )

Step-by-step explanation:

x² + y² = 34 → (1)

y = x + 2 → (2)

substitute y = x + 2 into (1)

x² + (x + 2)² = 34

x² + x² + 4x + 4 = 34

2x² + 4x + 4 = 34 ( subtract 34 from both sides )

2x² + 4x - 30 = 0 ( divide through by 2 )

x² + 2x - 15 = 0 ← in standard form

(x + 5)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

substitute these values into (2) for corresponding values of y

x = - 5 : y = - 5 + 2 = - 3 ⇒ (- 5, - 3 )

x = 3 : y = 3 + 2 = 5 ⇒ (3, 5 )

Answer:

y= x + 3

Step-by-step explanation:

I have the same question and that was the correct answer

y= x+ 3 is flatter.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

As, the slope of y = x + 3 is 1.

So, the gradient is 1.

So, y = 2x + 3 is flatter

The slope of 2x-1 is 2

and, the slope of y= -4x+3 is -4

and the gradient is -4.

So, y= -4x +3 is steeper.

Learn more about equation here:

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Answer:

Θ = 50°

Step-by-step explanation:

Using the cofunction identity

tan(90 - x)° = cotx°

Given

cot40°, then

tan Θ = tan(90 - 40)° = tan50°

Thus Θ = 50°

Answer:

0.12

Step-by-step explanation:

there are 128 fluid ounces in 1 gallon

15.36 / 128 = 0.12

Answer:

It depends. If the negative number is greater than the positive, the answer is true. Otherwise, false.

Answer: use the Pythagorean theorem

if you use the Pythagorean theorem it would be so much easier:)

Step-by-step explanation:

Answer:

BA=15

CA=15/2=7.5

[tex] cb \:= \frac{15 \sqrt{3}} {2} = 13[/tex]