3/4 x 1/5, just double checking for a test

Answer:

Step-by-step explanation:

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

vertex form of quadratic equation:

therefore

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

[tex]3 = a(1 {)}^{2} + 4[/tex]

simplify exponent:

[tex]3 = a + 4[/tex]

therefore

[tex]a = - 1[/tex]

our vertex form of quadratic equation is

let's simplify it to standard form

simplify square:

[tex]y = - ( {x}^{2} + 2x + 1) + 4[/tex]

simplify parentheses:

[tex]y = - {x}^{2} - 2x - 1 + 4[/tex]

simplify addition:

[tex]y = - {x}^{2} - 2x + 3[/tex]

therefore our answer is D)y=-x²-2x+3

the domain of the function

[tex]x\in \mathbb{R}[/tex]

and the range of the function is

[tex]y\leqslant 4[/tex]

zeroes of the function:

[tex] - {x}^{2} - 2x + 3 = 0[/tex]

[tex] \sf divide \: both \: sides \: by \: - 1[/tex]

[tex] {x}^{2} + 2x - 3 = 0[/tex]

[tex] \implies \: {x}^{2} + 3x - x + 3 = 0[/tex]

factor out x and -1 respectively:

[tex] \sf \implies \: x(x + 3) - 1(x + 3 )= 0[/tex]

group:

[tex] \implies \: (x - 1)(x + 3) = 0[/tex]

therefore

[tex] \begin{cases} x_{1} = 1 \\ x_{2} = - 3\end{cases}[/tex]

Answer:

sorry but i need the points

Step-by-step explanation:

Answer:

[tex]Area =6.41mi^2[/tex]

Step-by-step explanation:

Given

[tex]a = 5.7[/tex]

[tex]b = 9.3[/tex]

[tex]c = 14^\circ[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area =\frac{1}{2}* a * b * sin(c)[/tex]

So:

[tex]Area =\frac{1}{2}* 5.7 * 9.3 * sin(14)[/tex]

[tex]Area =\frac{1}{2}* 5.7 * 9.3 * 0.2419[/tex]

[tex]Area =6.41mi^2[/tex]

Answer:

The answer is 6.41!

Step-by-step explanation:

I took the test and this is correct

Answer:

she would be able to buy 6.6

Answer:

its 6.6

Step-by-step explanation:

cause i did that already

Answer:

BD = 4

Step-by-step explanation:

∆BAD is congruent to ∆CAD based on the AAS Congruence Theorem.

Therefore:

BD = CD

3x + 1 = 5x - 1 (substitution)

Collect like terms

3x - 5x = -1 - 1

-2x = -2

Divide both sides by -2

x = -2/-2

x = 1

✔️BD = 3x + 1

Plug in the value of x

BD = 3(1) + 1

BD = 3 + 1

BD = 4

It's name is “isosceles triangle”

9514 1404 393

Answer:

  282.74 units³

Step-by-step explanation:

Put the given dimensions in the volume formula and do the arithmetic.

  V = πr²h

  V = 3.14159(3²)(10) ≈ 282.74 . . . units³

Answer:

8

Step-by-step explanation:

y = (10x^2 + 3x^4)/ 2x^2

where x is not equal to 0

(20x + 12x)/4x

32x / 4x

= 8

Answer:

p = 16.8

[tex] r \geqslant 5.5[/tex]

Step-by-step explanation:

12)

p + 2.1 = 18.9

p = 18.9 - 2.1

p = 16.8

13)

[tex]r \geqslant 5.5[/tex]

Answer:

b

Step-by-step explanation:

Answer:

I am not sure

Step-by-step explanation:

Sorry

The invested amount will be k 521.56 after 4 years 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that:

Mr Kabi invest k375 at a simple interest rate of 8.375 per annum

The invested amount = k 375

Rate of interest = 8.375 per anum

Rate of interest = 8.375/12 per month

Rate of interest = 0.6979 per month

Number of months = 4x12 + 8 = 56

As we know, the formula for the simple interest is given by:

A = P(1 + rt)

A = 375(1 + 0.6979×56)

A = k 521.56

Thus, the invested amount will be k 521.56 after 4 years and 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ2

Answer:

∠x = 117°

Step-by-step explanation:

supplement of ∠101° = 79°

all triangle interior angles add up to 180°

180° - 79° - 38° = 63°

the supplementary angle to 63° is 117°

Answer:

90$

Step-by-step explanation:

X(40%) = 36$

X(40/100) =36

40X = 3600

X = 90$

(recheck: 90$ x 40%= 36$)

9514 1404 393

Answer:

  10.5

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so ...

  ZX/ZY = CA/CB

  ZX = Zy(CA/CB) = 14(3/4)

  ZX = 10.5

Answer:

960 sq cm

Step-by-step explanation:

(16*12*10)/2

Answer:

this is a wild guess but  10.

Step-by-step explanation:

Not sure if you're allowed to do this but i added the x's

7x+3x= 10x

   10x+20.

I then subtracted 10 by both sides. That leaves me with 10.

  x =10

 this is a guess i apologize if it's wrong

Answer:

[tex]\mathbf{\mu_S = 12 }[/tex]; [tex]\text{Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]

Step-by-step explanation:

Given that:

The mean [tex]\mu_X = 5[/tex]

The mean [tex]\mu_Y = 7[/tex]

Where;

[tex]S= X+ Y[/tex]

[tex]\mu_S = \mu _X + \mu_Y \\ \\ \mu_S = 5+7 \\ \\ \mu_S = 12[/tex]

Thus;

[tex]\mathbf{\mu_S = 12 }[/tex];[tex]\text{ Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]

Answer:

C ♡♡

Step-by-step explanation:

jus took the quiz !!!

Answer:

57 kilometers a day.

Step-by-step explanation:

I just divided 513 by 9 and got that.

Answer:

That if I do not know friend, sorry

Answer:

16

Step-by-step explanation:

Hope you pass good luck to you!

Answer:

48000

Step-by-step explanation:

multiply the mass value by 32000

Answer:

48000

Step-by-step explanation:

.

Answer:

15

Step-by-step explanation:

Answer:

It says 15 18 is correct

Step-by-step explanation:

Answer:

33cm

Step-by-step explanation:

You need to add up all the sides

Answer:

4

This figure has 4 lines of symmetry.

i am just doing this so I can get more answers

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

becuase 7-8 he sold 2

8-9 he sold 8

9-10 he sold 32

4*2= 8

4*2=32

4*32=128

Answer:

[tex]\huge\boxed{\tt{x = 24, y = 17}}[/tex]

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

So,

Condition # 1:

x - y = 7 --------------(1)

Condition # 2:

3x = 72 --------------(2)

Taking Eq. (2)

3x = 72

Divide both sides by 3

x = 72 / 3

x = 24

Now, Put x = 24 in Eq. (1)

24 - y = 7

Subtract 24 to both sides

-y = 7 - 24

-y = -17

y = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

x = 20

Step-by-step explanation:

19 < x < 25

x had to be higher than 19 but lower than 25

18 cant be the answer because it is less than 19

27 cant be the answer because it is higher than 25

that leaves 20, which is the right answer

19 < 20 < 25