1. f(x) = x2
• vertex :
• opening of the graph :
• vertex is a ______ point
• equation of axis of symmetry (x=h) :
• range (y≥k) :​

Answer:

false

Step-by-step explanation:

Answer:

-2p/3+3

Step-by-step explanation:

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

Explanation:

Use the pythagorean theorem to tie together the three sides of the right triangle.

[tex]a = x-3 = \text{horizontal leg}\\b = x+5 = \text{vertical leg}\\c = 9 = \text{hypotenuse}[/tex]

[tex]a^2 + b^2 = c^2\\(x-3)^2 + (x+5)^2 = 9^2\\x^2-6x+9 + x^2+10x+25 = 81\\2x^2+4x+34 = 81\\2x^2+4x+34-81=0\\2x^2+4x-47=0\\[/tex]

From here, we use the quadratic formula to solve for x.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(4)\pm\sqrt{(4)^2-4(2)(-47)}}{2(2)}\\\\x = \frac{-4\pm\sqrt{392}}{4}\\\\x \approx \frac{-4\pm19.79898987}{4}\\\\x \approx \frac{-4+19.79898987}{4} \ \text{ or } \ x \approx \frac{-4-19.79898987}{4}\\\\x \approx \frac{15.79898987}{4} \ \text{ or } \ x \approx \frac{-23.79898987}{4}\\\\x \approx 3.94974747 \ \text{ or } \ x \approx -5.94974745\\\\[/tex]

We'll ignore the negative x value because it makes the sides x+5 and x-3 to be negative numbers. Negative side lengths make no sense.

The only practical solution is roughly x = 3.94974747; rounding to 3 sig figs leads to the final answer of x = 3.95

In this case, 3 sig figs means that we're rounding to 2 decimal places.

Answer:

y = 40

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 12 when x = 3 , then

12 = 3k ( divide both sides by 3 )

4 = k

y = 4x ← equation of variation

When x = 10 , then

y = 4 × 10 = 40

49.85% of buyers paid between 150,000 and 154,200

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.

Given that mean (μ) = 150000, standard deviation σ = 1400

68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)

95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)

99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)

The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%

Hence 49.85% of buyers paid between 150,000 and 154,200

Find out more at: https://brainly.com/question/12660012

Answer:

it would be y=|x+6|

Answer:

C.) =

Step-by-step explanation:

the absolute value of 5 is 5, and the absolute value of -5 is 5, so they will be equal

Answer:

=

Step-by-step explanation:

The absolute value of a number is how far the number is from zero on a number line.

Both 5 and -5 are 5 units from zero on a number line, so

|5| = |-5| since |5| = 5 and |-5| = 5.

Answer- 15.8 Miles

Explanation photo was given above.

Answer:

y=x+6.

Step-by-step explanation:

the slope-interception form is: y=s*x+i, where s - slope, i - interception.

according to the data in the graph i=6, s=1, then finally,

y=x+6.

Answer:

  ∠6, ∠10

Step-by-step explanation:

Apparently, we are to assume that the avenues are parallel.

The angles that form a linear pair with ∠8 will be supplementary: ∠6 and ∠7. The angles that correspond to those will also be supplementary to angle 8: ∠10 and ∠11.

Among the answer choices ∠3, ∠4, ∠6, ∠10, only ∠6 and ∠10 are equal to 180° -x.

_____

Additional comment

It appears we are to assume that 1st Ave is parallel to 2nd Ave. If that is the case, then we might also assume that D Street is perpendicular to those avenues. In that case, all of angles 5, 6, 7, 9, 10, 11, 12 are equal to 180° -x, because x and all of those are all 90°.

Answer:

8

Step-by-step explanation:

2(-2)^2 =10 +-2 =8

Answer: (5/12)m

Step-by-step explanation: hope this helps (～﹃～)~zZ

Answer:

The other leg is √65 cm

Step-by-step explanation:

Hi there!

We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm

We want to find the measure of the other leg

In right triangles, we can use the  theorem to find the value of a side, if we know the lengths of the other two sides

The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse

If we say a is 4 and c is 9, then the equation will look like this:

(4)²+b²=(9)²

Raise each number to the second power

16 + b²= 81

Subtract 16 from both sides

b²=65

Take the square root of 65

b=√65, -√65

-√65 is not an applicable root for this problem, since distance cannot be negative

Hence, our answer is √65 cm

Hope this helps!

Answer:

that isnt the full question like what is the area of the pan and stuff

Step-by-step explanation:

Answer:

12>x>10

Step-by-step explanation:

-25<-3x+5

-3x+5<-31

Answer:

hey can u help me with my work i posted i promise ill help u back

Answer:

-4,2

Step-by-step explanation:

(x-2) (x+4)=0

x-2=0

x=2

x+4=0

x= -4

Answer:

x=-4, x=2

Step-by-step explanation:

Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.

There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.

When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.

Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.

Do you want the half of 56 ft or 56 mm? In both the case, you'll get the same value...you just need to change the unit.

Half of 56 ft

= ½ × 56

= 56/2

= 28 ft

Half of 56 mm

= ½ × 56

= 56/2

= 28 mm

_______

Hope it helps ⚜:))

Answer:

y = -5/3x + 8

Step-by-step explanation:

So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths in a right-angled triangle :

c² = a² + b²

c is the Hypotenuse, the side opposite of the 90 degree angle.

a and b are the "legs".

3.

c² = 10² + 21² = 100 + 441 = 541

c = sqrt(541) = 23.2594066...in

so, none of the provided answers. are you sure you put the right numbers ? maybe the second leg is sqrt(21) instead of 21 ? because then it would be

c² = 10² + sqrt(21)² = 100 + 21 = 121

c = 11in

4.

10² = a² + 6²

100 = a² + 36

64 = a²

a = 8 m

5.

again, there must be something wrong. the height of the triangle cannot be longer than the legs of the triangle.

given the answer options of 5 - 9 cm it cannot be 32cm. maybe you mean 3.2 cm ?

also interesting that it says "attitudes" - plural. what do you mean by that ?

because there is something else missing. like how long are the segments of the Hypotenuse where the height (or altitude) is touching the Hypotenuse ?

with just the Hypotenuse length and the height length we cannot calculate the other parts of the triangle, because we can move the height freely along the Hypotenuse and draw fitting right-angled triangles on that "skeleton".

6.

similar triangles. that means the lengths of corresponding lines (like sides or heights) are all in relation with the same scaling factor.

so, the small triangle has its "height" side of 1 ft, and multiplying with the scaling factor would then give us the height of the flag pole.

what is the scaling factor ? we get that from the pair of corresponding sides we already know : the shadows.

going from the small to the large triangle we have to transform 4ft into 60ft.

what do I have to multiply 4 with to get 60 ?

4 × x = 60

x = 60/4 = 15

so, the flag pole is

15×1 = 15ft tall.

Answer:

Step-by-step explanation:

251 divided by something has to equal to a number it will divide by...

2 3 = 2x 2 x 2 = 8

x

p 2 = pxp

251 divided by 25 x8

/49 x8

/100x8

/4x 8

so I would say  5

Answer:

576

Step-by-step explanation:

5 + 3 = 8

5 - 2 = 3

8 x 3 = 24

24 to the second power is 576

Answer:

27x+5

Step-by-step explanation:

5+3x(5-2)^2

5+3x(3)^2

5+3x*9

5+27x

27x+5

Answer:

If there are 2 quarters for every 3 nickels,

then there are [tex]45*\frac{2}{3} =30[/tex] quarters.

If there are 2 dimes for every quarter,

then there are [tex]30*2=60[/tex] dimes.

If the number of pennies and nickels together are equal to the number of dimes, then there are [tex]60-45=15[/tex] pennies.

Answer:

[tex] \: [/tex]

One Square Feet is equivalent to 0.0022956820843815 Decimal.

Hence, to convert Square Feet to Decimal, we just need to multiply the number by 0.0022956820843815.

We are going to use very simple Square Feet to Decimal conversion formula for that.

see the calculation example given below.

Convert 56 Square Feet to Decimal ⇒ 56 Square Feet

= 56 × 0.0022956820843815 = 0.12855819672536 Decimal

Answer:

D

Step-by-step explanation:  The line GH has an arrow, so is designated as GH with an arrow over it.  The line EF has no direction (no arrow), so it is represented simply as EF with a line, with no arrow.  The point P is, well, just point P.

Answer:

3x4=12

12 coins in her collection

Step-by-step explanation:

25x4=100%

Answer:

an = a(n-1) -4

Step-by-step explanation:

From the table we see that

a1 = 15 , a2 = 11, a3 = 7 , a4= 3, a5 = -1...

Notice the numbers decrease by 4 so

a2 = a1 -4

a3 = a2 -4

a4 =a3 -4

a5= a4-4

generalized we will have

an = a n-1 -4

Answer:

3 = 9

Step-by-step explanation:

Simplifying 3 + -6a = 9 + -6a Add '6a' to each side of the equation. 3 + -6a + 6a = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 0 = 9 + -6a + 6a 3 = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 = 9 + 0 3 = 9 Solving 3 = 9 Couldn't find a variable to solve for.

Answer:

where the numbers at???

Step-by-step explanation: