*Sans gave you 50 pts* you are filled with determination.

The prediction from the trend is the value of the y-coordinate of a point in the line trend. For a given weight of 2,250 pounds, the y-values on the line seem to be between 25 and 30. Notice that The value y=25 corresponds to a weight of 2500 pounds. Therefore, for a 2,250 pounds vehicle, the gas mileage would be roughly 28 miles per gallon.

Therefore, Jim's answer best fits the data.

Answer:

  x = -4, -1, 9

Step-by-step explanation:

The zeros of f(x) will be found from the factors of f(x). Like factoring numbers, you reduce the problem in stages by factoring out the given factor. You can do this using polynomial long division, or its simpler cousin, synthetic division.

The attachment shows the synthetic division required to determine that the remaining quadratic factor is (x^2 -8x -9). That is ...

  f(x) = (x +4)(x^2 -8x -9)

The quadratic can be factored by looking for two numbers that have a product of -9, but have a sum of -8. Those numbers are +1 and -9. These are the values of the constants in the remaining factors you need.

  f(x) = (x +4)(x +1)(x -9)

The zeros of f(x) are the values of x that make these factors zero. (When a factor is 0, f(x) is 0.) The values of interest are the opposites of the constant in each factor, -4, -1, 9.

The zeros of f(x) are x = -4, -1, 9.

_____

Additional comment

In regular division, the divisor is multiplied by the (partial) quotient, and the product is subtracted from the dividend to get a new dividend. In synthetic division, the divisor is presumed to be a binomial of the form (x -r), where r is the zero of this binomial term. (x=r gives r-r = 0) It is this r value that appears in the upper left corner of the synthetic division table.

Answer:

S 25, L 41

Step-by-step explanation:

Small + Large = 66

Large = Small + 16

s + (s + 16) = 66

2s + 16 = 66

2s = 50

s = 25

25 + Large = 66

Large = 41

Answer:

2.083

Step-by-step explanation:

Answer:

25/12

Step-by-step explanation:

......... ..................

Answer:

Mars

Step-by-step explanation:

America

Answer:

Step-by-step explanation:

Let us say that the number is x

Now , According to the question ,

let us start by considering the L.H.S first i.e. three times a number increased by 12 i.e. 3^x+12  -------(1)

Now , consider R.H.S i.e. Five times the same number decreased by 18 i.e.

5^x-18-------------(2)

Now we are given that both the numbers are equal so here we equate eqn (1) and eqn (2)

⇒ 3x + 12 = 5x - 18

⇒ 12 +18 = 5x - 3x

⇒ 30 = 2x

⇒ 2x = 30

⇒ x = 30/2

⇒ x = 15

∴ Hence 15 is the required number

Answer:

H=V/WL

Step-by-step explanation:

The question also means to make h the subject . This is how you do it:

V=LHW

LHW=V

LH= V divided by W

H= V divided by W times L= V/WL

Hope this helps.

Please mark brainiest

Answer:

Linear

Step-by-step explanation:

I'd say this because the line is straight so I think it's linear. (If wrong sorry)

Answer:

its a and d

Step-by-step explanation:

For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

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The meaning of the interval is "there has been no change in support for the candidate". Thus, option (a) is correct.

The 90% two-proportion z-confidence interval (-0.0199, 0.0510) represents the likely range of the genuine difference between the two polls in support of candidate X.

Because the interval comprises 0, the difference in support between the two polls is unlikely to be statistically significant. In other words, there is no compelling evidence that there has been a significant shift in support for the candidate.

Options b), c), d), and e) imply a substantial change in support for the candidate, either positive or negative.

Thus, option (a) is correct.

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Answer:

x=−20

Step-by-step explanation:

Step by Step Solution:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x/5-(-4)=0

Step by step solution :

STEP

1

:

           x

Simplify   —

           5

Equation at the end of step

1

:

 x    

 — -  -4  = 0

 5    

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         -4     -4 • 5

   -4 =  ——  =  ——————

         1        5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (-4 • 5)     x + 20

————————————  =  ——————

     5             5  

Equation at the end of step

2

:

 x + 20

 ——————  = 0

   5  

STEP

3

:

When a fraction equals zero

3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x+20

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x+20  = 0

Solving a Single Variable Equation:

3.2      Solve  :    x+20 = 0

Subtract  20  from both sides of the equation :

                     x = -20

One solution was found :

x = -20

Answer:

x=-4.5 or -9/2

Step-by-step explanation:

The first step is to isolate x to do this you add 5 to both sides which then gives you -2x=9 the next step is to divide by negative 2 which would give you -9/2 which simplifies to -4.5.

Answer:

i believe your answer is c

Step-by-step explanation:

13/25 is 52 percent so you click the one that has 52 squares shaded

Answer:

$100

Step-by-step explanation:

40 is x. So, just plug in 40 into the equation:

2(40)+20=?

80+20=?

=100

Answer:

the answer is the First option.

Step-by-step explanation:

You take the first amount ex: 80 then times 0.2 (20%->0.2) and ad the result to 80

================================================

Work Shown:

x = some natural number

G = GCF(x,36)

L = LCM(x,36)

We can tie together the LCM and GCF like so

L = (x*36)/G

L = (x*36)/9

L = (36/9)*x

L = 4x

Whatever the value of x is, the LCM is 4 times larger.

Since we're told the LCM is 108, we can then say,

L = 108

4x = 108

x = 108/4

x = 27

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

Check:

GCF(x,36) = GCF(27,36) = 9, since 36 = 9*4 and 27 = 9*3, indicating that 9 is the largest shared factor

LCM(x,36) = LCM(27,36) = 108

LCM(x,36) = (x*36)/GCF = (x*36)/9 = (27*36)/9 = 972/9 = 108

This confirms we have the right answer.

Answer:

7 and 4

Step-by-step explanation:

let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)

Answer:

0.8

Step-by-step explanation:

From the given information:

The population mean = 60

The standard deviation = 8

The sample size = 100

The sample distribution which follows a normal distribution is the set of values ​​taken by this statistic on each sample from the same population.

The standard deviation of the comparison distribution's = \(\dfrac{\sigma}{\sqrt{n}}\)

The standard deviation of the comparison distribution's = \(\dfrac{8}{\sqrt{100}}\)

The standard deviation of the comparison distribution's = 8/10

The standard deviation of the comparison distribution's = 0.8

Answer:

They are complementary angles.

Step-by-step explanation:

The sum of their measurements equals 90 degrees.

no xdxdxdxdxdxxdxdxdxdxdxdxdxdxddxd

Answer:

x = 9.1

Step-by-step explanation:

x^2 + 16^2 = 18.4^2

x^2 + 256 = 338.56

x^2 = 82.56

x = 9.1

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3