Use a graph to find x and y values that make both y=-x+3 and y=2x−5 true.

The two values of x are

1.65 , -3.65

Answer:

Two values of x that are :

[tex]x=-\sqrt{7}-1[/tex]

[tex]x=\sqrt{7}-1[/tex]

Step-by-step explanation:

Given= [tex]x^2+2x-6=0[/tex]

To find = Two values of x

Solution :

[tex]x^2+2x-6=0[/tex]

Adding and subtracting 1 in the equation :

[tex]x^2+2x+1-1-6=0[/tex]

[tex](x^2+2\times x\times 1+1^2)-1-6=0[/tex]

[tex](x+1)^2-7=0[/tex]

[tex](x+1)^2=7[/tex]

[tex](x+1)=\pm \sqrt{7}[/tex]

Two values of x that are :

[tex]x=-\sqrt{7}-1[/tex]

[tex]x=\sqrt{7}-1[/tex]

Answer:

1.04p

Step-by-step explanation:

You will pay the whole price of the item which is p or 1p. Then you will add 4% tax or 0.04p. So the total will be 1p + 0.04p = 1.04p.

Answer:

[tex]P = 84\%[/tex]

Step-by-step explanation:

The average is:

[tex]\mu = 40,000\ miles[/tex]

The standard deviation is:

[tex]\sigma = 1,000\ miles[/tex]

We want the probability that a tire lasts more than 39,000 miles.

This is:

[tex]P (X>39,000)[/tex]

Now we must transform these values to those of a standard normal distribution to facilitate calculation by using the probability tables.

[tex]P (X> 39,000)\\\\P (X-\mu> 39,000-40,000)\\\\P (\frac{X-\mu}{\sigma}> \frac{39,000 -40,000}{1,000})\\\\P (Z> -1)[/tex]

This is:

[tex]P(Z> -1) = P(Z<1)[/tex] ---------- (For the symmetry of the standard normal distribution)

When you search for the normal standard table, you get the following value:

[tex]P(Z <1) = 0.8413\\\\P(Z> -1) = 0.8413[/tex]

See the attached picture:

Answer:

Step-by-step explanation:

None of them

Perhaps the original question was f(x) = (1/7)^x or f(x)=(1/7)^-x

The first one would give A as an answer

The second one would give D as an answer.

A similar answer could be worked out for B and C

In any event correct your question, please

Answer:

49

Step-by-step explanation:

A. 12 in

We know that the sports stadium is 180 ft tall and that in the scale model there is 2 in for every 30 ft. If we divide 180 by 30 we get 6. There is 2 in for every 30 ft, so the answer would be 6 x 2 or 12 in.

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 2 inches = 30 feet and the height of the sports stadium is 180 feet.

The height of the sports stadium in scale model in inches is 12 inches.

Option C is the correct answer.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

In 5 minutes a machine can cut 10 potato

In 1 minute a machine can cut 2 potato.

We have,

30 feet = 2 inches

Divide both sides by 30.

1 feet = 2/30 inches

Now,

1 feet = 2/30 inches

Multiply 180 on both sides.

180 feet = 180 x 2/30 inches

180 feet = 6 x 2 inches

180 feet = 12 inches

Thus,

If 2 inches = 30 feet and the height of the sports stadium is 180 feet.

The height of the sports stadium in scale model in inches is 12 inches.

Learn more about unit rates here:

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10 to the power of 6

10^5 × 10 = 10^6

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

Answer:

The answer is d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

To find the distance, use the distance formula.

d = [tex]\sqrt{(x1 - x1)^{2} + (y1 - y2)^{2}  }[/tex]

d = [tex]\sqrt{(7 - 2)^{2} + (2 - 4)^{2}  }[/tex]

d = [tex]\sqrt{(5)^{2} + (-2)^{2}  }[/tex]

d = [tex]\sqrt{25 + 4 }[/tex]

d = [tex]\sqrt{29}[/tex]

Answer:

C. O.5s

Step-by-step explanation:

If the wave length is 100m and it goes at a speed of 200m/s then it will only take 0.5 seconds because 100 is half of the speed of 200

Answer:

C

Step-by-step explanation:

The formula we use to solve this would be:  [tex]T=\frac{\lambda}{v}[/tex]

Where

T is the period in seconds

[tex]\lambda[/tex] is the wavelength in m, and

v is the speed of the wave in m/s

We have [tex]\lambda[/tex] equal to 100, and v = 200 m/s. Plugging these into the equation, we get the period:

[tex]T=\frac{\lambda}{v}\\T=\frac{100}{200}\\T=0.5[/tex]

C is the right answer.

Answer:

1 X 16 and 8 X2

Step-by-step explanation:

1 X 16 = 16

2 X 8 = 16

3 X nothing = 16

4 X 4 = 16

5 X nothing = 16

6 X nothing = 16

7 X nothing = 16

8 X 2 = 16

etc.

[tex]\bold{Hey\ there!} \\ \\ \bold{Choose\ all\ of\ the\ correct\ factors\ of\ 16}[/tex]

[tex]\bold{It \underline{CAN'T} \ be\downarrow} \\ \bullet\ \bold{3\times5\ because\ it\ equals\ to\ 15} \\\bullet\ \bold{4\times3\ because\ it \ equals\ to\ 12} \\ \\ \\ \\ \bold{It\ \underline{CAN} \ be\downarrow} \\ \bullet \ \bold{1\times16\ because\ it\ equals\ to \ 16} \\ \bullet \ \bold{8\times2\ because\ it\ equals\ to\ 16} \\ \\ \\ \boxed{\boxed{\bold{Answer(s):1\times16\ \& \ 8\times2}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your \ day!} \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

yes theoretically it did work

Step-by-step explanation:

hypothetically it is supposed to land on each side half of the time, but as we all know it's a matter of luck. since after you put on the layer of coating and it landed on heads more thank half of the time (50%), it technically has worked but in a real world application it would be hard to tell/justify.

The correct answer is C = 9.

Step by step:

Subtract 12 - 9 = 3

3 + 9 = 12.

It’s that simple. Hold this helps!

The value of c is 9 makes the equation true.

It is given that the equation 12 - 9 + c =12.

It is required to find the value of c that makes the equation true.

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 a linear equation in one variable:

12 - 9 + c = 12

-9 + c =0   (subtract 12 on both sides)

c = 9   ( add 9 on both sides)

Thus, the value of c is 9 makes the equation true.

Learn more about the linear equation here:

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Answer:

The answer is 9

Step-by-step explanation:

39X39 is 1521

1521/169=9

so carmen needs 9 cans of paint

To paint the square ceiling of 1521 square feet, Carmen will need to round up from the approximately 9 cans of paint that would be required to cover it, so she will need to purchase 10 cans of paint.

Carmen would be dealing with a mathematical concept related to area and division. Since the ceiling is a square, we can find the total area by squaring the length of one side. This means multiplying 39 (feet) by itself: 39*39 = 1521 square feet.

Each tin of paint can cover 169 square feet, so if we divide the total square feet of the ceiling by what one tin can cover, we get the amount of tins needed. This means 1521 divided by 169: approximately 9 cans of paint. Since you cannot buy a fraction of a can, Carmen will need to purchase 10 cans of paint to ensure she can cover the entire area of the ceiling.

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Answer:a

Step-by-step explanation:

it just looks like it

32×.25=8

so 8 students wear glasses

Answer:

0

Step-by-step explanation:

The formula gives you a relation between S and n. For every n, you can perform the calculation and obtain an S.

So, for n=0 we get 0/2 (0+1) which equals 0. So (0,0) is an (n,S) pair.

Answer:

Below, the fractions organized from least to greatest:

a. 1/7, 1/5, 1/3

b. 2/7, 2/5, 2/3

c. 1/6, 3/6, 5/6

d. 4/12, 5/12, 8/12

Answer:

3x^{4} + 4x³ + 5x - 6

Step-by-step explanation:

Given in the question is an expression

(3x³ - 2x² + 4x - 3)(x + 2)

Apply distributive law

(3x³ - 2x² + 4x - 3)(x) + (2)(3x³ - 2x² + 4x - 3)

3[tex]x^{4}[/tex] - 2x³ + 4x² -3x + 6x³ - 4x² + 8x - 6

Rearrange the like terms

3[tex]x^{4}[/tex] + x³(-2+6) +x²(4-4) +x(-3+8) - 6

3[tex]x^{4}[/tex] + 4x³ + 5x - 6

After performing indicated operation the result is

[tex]3x^{4}+4x^{3}+5x-6[/tex]

65% × 114.4 =

(65 ÷ 100) × 114.4 =

(65 × 114.4) ÷ 100 =

7,436 ÷ 100 =

74.36

and how you can check yourself  kinda do the opposite of what you did to get the answer

74.36 ÷ 114.4 =

0.65 =

0.65 × 100/100 =

0.65 × 100% =

(0.65 × 100)% =

65%

The ratio of carnations to roses in the garden is 19:31.

Since there are 57 carnations in the garden, there are 57 * 31/19 = 93 roses in the garden.

Answer:

The answer is 93

Step-by-step explanation:

Answer:

37 Chairs

Step-by-step explanation:

Last week she set up 22 chairs.

This week, that amount was 15

Add those together, and you have 37.

Gina set up a total of 37 chairs in the past two weeks.

To find the total number of chairs Gina set up in the past two weeks, we need to add the number of chairs she set up last week to the number of chairs she set up this week.

Answer:

B, C

Step-by-step explanation:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(-5)}}{2(1)} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{9 + 20}}{2} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{29}}{2} [/tex]

Answer: B, C

Answer:

13.72 cubic units

Step-by-step explanation:

The equation below shows the total volume (V), in cubic units, of 5 identical boxes with each side equal to s units:  V = 5s3  

If s = 1.4 units, what is the value of V?

Substitute s = 1.4 into V = 5s³ = 5(1.4)³ = 13.72 cubic units.

the correct answer is d

Answer:

see explanation

Step-by-step explanation:

Since AC = BC then ΔABC is isosceles with base angles

∠BAC =∠ABC, thus

3x + x = 70

4x = 70 ( divide both sides by 4 )

x = 17.5

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

∠ADC is an external angle of ΔABD and the external angle is equal to the 2 opposite interior angles, hence

y = 70 + x = 70 + 17.5 = 87.5

Answer:

64

Step-by-step explanation:

4 x 4 x 4 = 64

8 x 8 = 64

Answer:

y = x² + 3x - 40

Step-by-step explanation:

Given the zeros are x = - 8 and x = 5, then the factors are

(x + 8) and (x - 5) and

y = (x + 8)(x - 5) ← expand factors

y = x² - 5x + 8x - 40, hence

y = x² + 3x - 40 ← in standard form

Final answer:

To find the solutions of the quadratic equation 3x^2 - x + 6 = 0, we can use the quadratic formula. The solutions are complex numbers: x = (1 ± i√71) / 6.

Explanation:

To find the solutions of the quadratic equation 3x^2 - x + 6 = 0, we can use the quadratic formula. The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

By comparing the given equation to the standard quadratic equation form ax^2 + bx + c = 0, we can determine that a = 3, b = -1, and c = 6. Substituting these values into the quadratic formula, we get:

x = (-(-1) ± √((-1)^2 - 4(3)(6))) / (2(3))

Simplifying further, we have:
x = (1 ± √(1 - 72)) / 6

Finally, evaluating the expression under the square root, we get:
x = (1 ± √(-71)) / 6

Since the square root of a negative number is not a real number, the solutions to the quadratic equation are complex numbers. Hence, the solutions are:

x = (1 ± i√71) / 6

Answer:

528

Step-by-step explanation:

x = 480

1.1 x = 480 * 1.1

480 + 48 = 528

Timothy traveled 528 miles using the gasoline from Smith's Station, which is 10% farther than the 480 miles he traveled with gasoline from Jack's Station.

To calculate how far Timothy traveled using the gasoline from Smith's Station, we need to determine what 10% more than the 480 miles he traveled using gasoline from Jack's Station is. First, let's find 10% of 480 miles:

Now, let's add this additional distance to the original 480 miles to find the total distance traveled with gas from Smith's Station:

Therefore, Timothy traveled 528 miles on a tank of gas from Smith's Station.