Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 5 x squared minus 3. g (x) = 5 x squared + 3.
a.

both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
b.

both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
c.

both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
d.

both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis

Answer:

13.01d - 2.65

Step-by-step explanation:

3.26d + 9.75d − 2.65

combine like terms

3.26d + 9.75d = 13.01d

nothing further can be done, recombine

13.01d - 2.65

Answer:

16 servings

Step-by-step explanation:

there are 16 tablespoons in one cup so 16+16 is 32. then you divide that by 2 or you get 16 servings

Answer:

b = 4.4 feet

Step-by-step explanation:

To find the value of "b", all you need to do is plug the values for "a" and "c" into the pythagorean Theorem and isolate "b".

a² + b² = c²            <------ Phythagorean Theorem

9² + b² = 10²         <------- Plug in a = 9 and c = 10

81 + b² = 100        <-------- Square both values

b² = 19                  <-------- Subtract 81 from both sides

[tex]\sqrt{b^{2} } = \sqrt{19}[/tex]            <-------- Square root both sides to remove exponent

b = 4.358...

b = 4.4 feet

Answer:

its f

Step-by-step explanation:

Answer:

a) 5m b) 53°

Step-by-step explanation:

a) √Bc²+AB²

=√4²+3²

=√16+9

=√25 =5m

b) tan θ =BC/AB

tanθ =4/3

so tan θ=53°

Answer:

60%

Step-by-step explanation:

9/15 as a decimal is 0.6 (use calculator) as a percentage it's %60 (0.6 * 100)

Answer:

[tex]y = -6x[/tex]

Step-by-step explanation:

We can see that with every [tex]x[/tex] value that increases, the [tex]y[/tex] value decreases by [tex]-6[/tex]. Thus the slope is [tex]-6[/tex], which would make the equation: [tex]y = -6x[/tex].

there isn’t an image provided I can’t help unless you give an image

Answer: AA similarity posulate

Step-by-step explanation:

In ΔAJM and ΔAPB,

∠PAB = ∠JAM,

Also, since PB || JM, the corresponding angles formed by these two parallel lines with the line AJ are equal i.e.

∠AJM = ∠APB

So, using the AA similarity postulate, we can say that ΔAJM is similar to ΔAPB

The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

In this question we understand that the area of the compound shape is the sum of the area of small rectangles and triangles:

[tex]A = \sum \limits^{n}_{i = 1} A_{i}[/tex]     (1)

Now we proceed to calculate the area of the compound shape:

A = 0.5 · (4 km) · (3 km) + (10 km) · (2 km) + (17 km) · (7 km) + (2 km) · (6 km)

A = 157 km²

The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

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Answer:

its C

Step-by-step explanation:

Answer: I dont know

Step-by-step explanation:  i need more information

Answer:

q = 5

Step-by-step explanation:

5 less than 3q is 10.

∴ 3q - 5 = 10

     3q = 15

       q = 5

Hope this helps!

To solve this problem, we have to use combination which is a topic in statistics and it deals with the number of ways or arrangement in which and event can occur. the local dry cleaner can make them fill the roles in 210 ways.

In the given question, we have 10 candidates and 4 positions to be filled.

Data;

[tex]^1^0C_4 = 210[/tex]

From the calculation above, the local dry cleaner can make them fill the roles in 210 ways.

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Answer:

-33

Step-by-step explanation:

The sequence is descending so the nth term would be -10n and the 0 term would be 27 so the nth term for the sequence would be -10n +27.

The question asks you to find the 6th term so (-10 x 6) + 27 = -60 + 27 = -33

The cardinal number of the given sets are:

As a general rule, the cardinal number of a set is the number of distinct elements in the set

Using the above definition the cardinal number of the given sets are:

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Answer:

calculator soup can help just search what you're learning into g o o g l e and add calculator at the finish have a nice day

Answer:

C is the answer

Step-by-step explanation:

C. is only saying how farming seasons would be longer and is not an example of how climate change has impacted the Earth.

Answer:

I believe the answer to your question is the third answer (C).

Step-by-step explanation:

The reason why I chose the third answer is because the destruction of coral reefs is bad because multiple organisms in the water rely on them and if it's destroyed there will be a chain reaction with the ecosystem in a bad way. In addition, it is also not an extinction risk for animals because it is also a disadvantage because biodiversity will decrease and that will also cause problems. I believe a longer farming season is the answer because food and other things that farmers have to grow will last for longer periods of time and won't really disrupt anything going on in the ecosystem I think. I hope this helps although it may be wrong. I am not an expert when it comes to this type of stuff.

Step-by-step explanation:

the area of a circle is

pi×r²

that is for the whole circle, which is the same as 360 degree arc.

now that we have only 254 out of the total of 360 degrees, the sector area is

pi×r² × 254/360

pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =

= 179.5420202... cm²

rounding to 1/10 is 180.0 cm².

so, it is actually D - none of the above.

Answer:

D. none of the above

Step-by-step explanation:

the area of a circle is

pi×r²

that is for the whole circle, which is the same as 360 degree arc.

now that we have only 254 out of the total of 360 degrees, the sector area is

pi×r² × 254/360

pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =

= 179.5420202... cm²

rounding to 1/10 is 180.0 cm².

so, it is actually D - none of the above.

Answer:

The circumstances of the circle is six

Step-by-step explanation:

3×2=2

Answer:

The slope would be 3.

Step-by-step explanation:

The formula for finding slope is [tex]\frac{y1-y2}{x1-x2}[/tex]
We can plug these numbers into the equation by doing [tex]\frac{1--5}{2-0}[/tex]
1--5 is equal to 1+5, which is 6.
2-0 is equal to 2.
[tex]\frac{6}{2}[/tex] is 3, which is how you get your answer.
I hope this helps! :)

Answer:

[tex]\sqrt{a^{6} *a}[/tex]

Step-by-step explanation:

when multiplying exponents, as long as the base is the same, you add the power. [tex]a^{6}*a^1=a^(6+1)=a^7[/tex]

Explanation:

The jump from 24 to 16 is -8

The jump from 16 to 8 is also -8

Each time we need a new term, we add on -8 which is the common difference. So we'll add -8 to 0 to get 0 + (-8) = 0 - 8 = -8 as the next term.

If you wanted another term after that, then it would be -8 + (-8) = -8-8 = -16

Then the next term after that is -16+(-8) = -16-8 = -24, and so on.

Answer:

-8

Step-by-step explanation:

each time its going down by 8 meaning it would be -8

Answer:

-4x0 -6x -1

Step-by-step explanation:

I believe its true.

Answer:

The distance is 1.41 to nearest hundredth.

Step-by-step explanation:

The line y = x + 3 passes through the point (0, 3) on the yaxis.

Find the perpendicular line passing through this point:

y  - 3 = -1(x + 0)

y = -x + 3

Now find the point where this line intersects the line y = x + 1:

y = -x + 3

y = x + 1

-x + 3 = x  + 1

3 -1 = x + x

2x = 2

x = 1

and y = 2

So this point is (1, 2)

We require the distance between this point and (0, 3)

This = √((3-2)^2 + (0-1)^2) = √2

= 1.4142

The format of the desmos that is used to make one histogram showing the time played (minutes) and the # of goals scored is given in the iimaged attached.

This is known to be a kind of graphical depiction that helps one to organizes a set of data points into a given ranges.

Note that the desmos given below can be used to make one histogram for the time played (minutes) and the # of goals scored when you follow the example that is given in the image attached. You can attached the  time played and the number of goals by following the image description.

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The expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have expression:

= 8 × 35  ⇒ 280

A. 8 × (30 + 5) ⇒ 280

B. 5 + 3 × 35 ⇒ 110

C. (8 × 30) + (8 × 5) ⇒ 280

D. (8 + 30) × (8 + 5) ⇒ 494

E. 8 × (20 + 15) ⇒ 280

Thus, the expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

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