Write the equation of a parabola that has a vertex of (-2,5.5) and passes through the point (-2.5,2.5).

The amount that will be spent is $24.50, the amount saved will be $10.50, and the percentage saved will be 30%.

The amount that will be spent will be:

= 7/10 × $35 = $24.50

The amount that will be saved will be:

= $35 - $24.50 = $10.50

The fraction of the original price that is saved will be:

= 10.50/35 × 100

= 30%

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The domain are the possible input while the range are the possible output

of a function.

Reasons:

The given functions can be expressed by the equation; (-x + 1)·(x + 1) = -x² + 1

Therefore, we have;

(a) y = f(x) + 1 = -x² + 1 + 1 = -x² + 2

The x-intercept of the above function are, x = √2, and x = -√2

Which gives;

The domain = [-√2, √2]

The range = [0, 2]

(b) y = 3·f(x) = 3 × (-x² + 1) = -3·x² + 3

At the x–intercepts, we have;

-3·x² + 3 = 0

x = ±1

The domain = [-1, 1]

The maximum value of y is given at x = 0, therefore;

= -3 × 0² + 3 = 3

The range = [0, 1]

(c) y = -f(x) = -(-x² + 1) = x² - 1

At the x–intercepts, x² - 1 = 0

x = ± 1

The domain = [-1, 1]

The minimum value of y is given at x = 0, which is y = -1

The range = [0, -1]

(d) y = f(x - 1) = -(x - 1)² + 1 = -x² + 2·x

At the x–intercepts, we have;  -x² + 2·x = 0, which gives;

(-x + 2)·x = 0

Which gives, x = 0, or x = 2

The domain = [0, 2]

The maximum value of y is given when x = -b/(2·a) = -2/(2×(-1)) = 1

y = f(1) =  -1² + 2×1 = 1

Therefore;

The range = [0, 1]

(e) y = f(x + 2) + 1 = (-(x + 2)² + 1) + 1 = -x² - 4·x - 2

At the x–intercepts, we have;  -x² - 4·x - 2 = 0, which gives;

x = -(2 + √2) or x = x = √2 - 2

The domain = [-(2 + √2), (√2 - 2)]

The maximum value of y is given when x = -4/(2)) = -2

Which gives;

-(-2)² - 4·(-2) - 2 = 2

The range = [0, 2]

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Answer:

use this equation: GPE=mgh

Step-by-step explanation:

GPE = gravitational potential energy = J

m = mass = Kg

g = gravitational field = N/kg = world's gravitational field is 9.8N/kg

h = height = m

Answer:

1/16

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex]

Answer:

ok lol

Step-by-step explanation:

Answer:

  x = -2

Step-by-step explanation:

The expression f(x) = 1 corresponds to the point on the graph that is 1 unit above the x-axis. You can locate that horizontal line and see where it intersects the graph. That point of intersection  is 2 grid squares to the left of the y-axis, where x = -2.

  f(-2) = 1

  x = -2

Answer:

A) 25

B) 64

Step-by-step explanation:

Hope this helps :))

Step-by-step explanation:

x= 5

a) 5² = 5×5 =25

b) (5+3)² = 8²

= 8 × 8

= 64

Answer: 19

Step-by-step explanation:

2 lines crossing create 2 pairs of equal angles. The opposite angles are the same. Same goes in a circle.

9514 1404 393

Answer:

  arc DC = 19°

Step-by-step explanation:

The acute central angles are vertical angles, so have the same measure. Vertical angles with the same measure intercept arcs with the same measure. The measure of the arc is the measure of the central angle it subtends.

Arc AB = Arc DC = 19°

Answer:8x-40

Step-by-step explanation:

Because when we simply 4(x-5)/2

We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).

Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help

Answer:

p=0.4

Step-by-step explanation:

6(p+2.25)=15.9

6p+13.5=15.9

6p=2.4

p=0.4

Answer:It takes 14 pints of blueberries to make 4 jars of blueberry jam.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Distance:16mi}\\\huge\boxed{Displacement: 0mi}[/tex]

Step-by-step explanation:

Because Jacob starts and ends at his house, his total displacement is 0mi, because the distance from his house to his house is 0 mi.

Because Jacob travels 5 miles to the shops, then (N.B. I'm inferring here) in a straight line, 3 more miles to the post office, a total distance of 8 miles, then another 8 backwards, he travels a total distance of 16mi.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

you do 215 times $0.25 you get $53.75 you take that away from $3272.30 you get $3218.55 then you divide that by 215 you get $14.97 so the answer is she makes $14.97 on one pair of earrings.

Step-by-step explanation:

Plz mark brainliest

Answer: 41,667

Step-by-step explanation:

1,000,000 divided by 24= 41,666.666

you should round this answer up if your question asks for that to 41,667

Answer:  [tex]\frac{tv^3}{u^8}\\\\\\[/tex]

This is the fraction tv^3 all over u^8

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

Work Shown:

[tex]\frac{t^2uv^7}{tu^9v^4}\\\\\\\frac{t^2}{t}*\frac{u}{u^9}*\frac{v^7}{v^4}\\\\\\t^{2-1}*u^{1-9}*v^{7-4}\\\\\\t^{1}*u^{-8}*v^{3}\\\\\\\frac{t}{1}*\frac{1}{u^8}*\frac{v^3}{1}\\\\\\\frac{t*1*v^3}{1*u^8*1}\\\\\\\frac{tv^3}{u^8}\\\\\\[/tex]

In the third step, I used the rule (a^b)/(a^c) = a^(b-c)

To make the negative exponent turn positive, we apply the reciprocal to the base.

18 seconds

Step-by-step explanation:

The object will reach the ground when its height h(t) = 0. Therefore, we can write

[tex]h(t) = 288t - 16t^2 = 0 \Rightarrow 16t^2 = 288t[/tex]

Solving for t, we get

[tex]16t = 288 \Rightarrow t = 18\:\text{s}[/tex]

Answer:

y=2x +5

Step-by-step explanation:

so 2 goes in the first blank and 5 goes in the second

Hope this helps!❆

Answer: It should be C

Step-by-step explanation: This is because since She has 29 seashells then got 10 more that would add it and since she gave some to her little sister we subtract there

Answer:

I think that it would be C 29+10-S

Step-by-step explanation:

I say this because she had 29 then got 10 which would be 29+10 and she gave S away that's 2o+10-S

Answer:

d. 2x^2

Step-by-step explanation

Answer:

3/11

Step-by-step explanation:

thank you for the poits

Answer:

[tex]4x \times {10}^{3} [/tex]

Step-by-step explanation:

[tex] \frac{1.2}{3} \times \frac{ {10}^{9} }{ {10}^{5} } [/tex]

[tex]0.4 \times {10}^{9 - 5} [/tex]

[tex]0.4 \times {10}^{4} [/tex]

[tex] = 4 \times {10}^{3} [/tex]

Answer:

-(127/12)

Step-by-step explanation:

-23/4 -29/6 = -254/24

-254/24 = -127/12

Answers:

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

Explanation:

The fraction -5/4 converts to -1.25 after using your calculator or long division. It represents the mixed number -1 & 1/4. So we go 1 full unit to the left to arrive at -1, then we move another 1/4 unit to the left to get to point A. That's why point A is located at -5/4 = -1.25 = -1 & 1/4.

Point B is directly midway between 0 and -1, so it must be at -0.5; you can use the midpoint formula.

Use Pythagorean theorem,

[tex]29^2 = 21^2 + x^2 \\\\\implies x^2 = 29^2 -21^2 \\\\\implies x^2 = 400\\\\\implies x = \sqrt{400} = 20[/tex]

Answer:

Step-by-step explanation:

area of a full circle is A = πr²

so a quarter of a circle area is A = πr²/4

A = 3.142(7²)/4

A = 38.4895 cm²               picture answer

Using π =  3.14 results in

A = 3.14(7²)/4

A = 38.465 cm²                  written question answer

For comparison purposes,

Carrying the precision of π into many more significant digits results in

A = 38.484510006474...cm²

9514 1404 393

Answer:

  C) c || d by converse of corresponding angles

Step-by-step explanation:

Only corresponding angles where transversal b crosses lines c and d are shown. All answer choices involving a||b or interior angles can be eliminated from consideration.

The "corresponding angle" theorem tells you corresponding angles are congruent if the lines are parallel.

The converse of that theorem tells you the lines are parallel if the corresponding angles are congruent. Here, the angles are shown congruent, so the "converse" theorem applies.

Answer:

it is in quadratic equation meaning you use Plus or minus

Answer:

I is both the plus and minus sign so and 2+1 and subtract 2-1 both answers are the answer

Step-by-step explanation:

The plus–minus sign, ±, is a mathematical symbol with multiple meanings. In mathematics, it generally indicates a choice of exactly two possible values, one of which is obtained through addition and the other through subtraction.

The sign may also represent an inclusive range of values that a reading might have.

cyclist a speed is d = v × t

so you can find velocity of a and b.

then compare them both.

Answer:

65 cows

Step-by-step explanation:

Inverse rule of three

[tex]45-------13\\x -------- 9[/tex]

[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]

Hope this helps