x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.

Answer:

D

Step-by-step explanation:

Given y varies directly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then

[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )

[tex]\frac{2}{3}[/tex] = k

y = [tex]\frac{2}{3}[/tex] xz ← equation of variation

When x = 6 and z = 3 , then

y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12

Answer:

the answer to this question is

d.)y=⅔xz;y(6,3)=12

Answer:

x=3.5

Step-by-step explanation:

25÷2=12.5

12.5-9=3.5

Answer:

7/5 or 3.5

Step-by-step explanation:

2 (x+9) =25

x+9 = 25/2

x = (25/2) - 9

x = 7/2 in decimal = 3.5

Answer:

log10( 5x^2)

Step-by-step explanation:

2 log10 (x) + log10 (5)

we know that  c loga (b) = log a (b^c)

log10 x^2 + log10 (5)

We also know that logc a + logc b = logc (ab)

log10 (x^2* 5)

log10( 5x^2)

Answer:

where are the answer choices?

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

f(-2) = -3

Step-by-step explanation:

When x = -2 we want the value of y

We use the closed circle value ( open circle does not have a value)

f(-2) = -3

Answer:

−3x^2+2x /x−2

Step-by-step explanation:

4x−9x^3/ 3x^2−4x−4

=  −9x^3+4x /3x^2−4x−4

=  x(−3x+2)(3x+2) /(3x+2)(x−2)

=  −3x^2+2x /x−2

Answer:

x=15 y=24

Step-by-step explanation:

This is because the rule is x goes up 3 y goes up 4

(9,12)->(x,20)

it skips one, so instead of adding 3 we add six

x=15

(15,20)->(18,y)

you follow the rule and 4.

Y=24

Answer:

-.985

Step-by-step explanation:

Answer:

a) 17

b) 21st term

Step-by-step explanation:

a) 20 - 3 = 17

b) 20 - 21 = -1

Answer:

1 maps to 1

2 maps to 3

3 maps to 2

Step-by-step explanation:

the correctly assigned answer options describe everything.

there is not much else to say and explain.

these are all true statements due to the symmetry principle of a circle.

when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.

and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.

Step-by-step explanation:

f(x)=2x+1 and g(x)=x²-7

(f/g)(x) = (2x+1)/(x²-7)

Answer:

pls answer my questions plsss

Answer:

O.6, 0.7, 3/4 (0.75)

Answer:

Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9

Answer:

42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

x = 6

7x

Step 2: Evaluate

Answer:

1.5 percent I 5hink 9ook

[tex]\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}[/tex]

Answer:

I think you mean the equation is

[tex]2 {x}^{2} - 2x - 1 = 0[/tex]

And you must find

[tex]delta = {b}^{2} - 4ac = 4 + 8 = 12[/tex]

Step-by-step explanation:

my answer is an image above

Answer:

Graph translates 4 units to the left then 3 units up.

Step-by-step explanation:

The constant in the bracket changes for - 15 to -11 . A change of + 4.

This shifts  the whole graph horizontally 4 units to the left.

The + 3 moves the whole graph 3 units upwards.

Answer:

x      -2      -1       0      1

y      -1       2        5      8

Step-by-step explanation:

y=3x+5

When x=-2

y=3(-2)+5

y=-6+5

y=-1

when x=-1

y=3(-1)+5

y=-3+5

y=2

whenx=0

y=3(0)+5

y=5

When x=1

y=3(1)+5

y=3+5

y=8

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.

Answer:

100

Step-by-step explanation:

Based on the histogram given :

The vertical axis gives the number of student in the school :

For the range :

0 - 5 = 40

5 - 10 = 30

10 - 15 = 20

15 - 20 = 5

20 - 25 = 3

25 - 30 = 2

Taking the sum :

(40 + 30 + 20 + 5 + 3 + 2) = 100

Answer:

[tex]10 \frac{2}{5}[/tex]

Step-by-step explanation:

Using BODMAS

[tex]6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\[/tex]

[tex]\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}[/tex]

Answer:

5%

Step-by-step explanation:

Percent error = (actual - estimated) / actual x 100

(240 - 228) / 240 x 100 = 5%

Answer:

The common difference is definitely 3. The common difference is the difference between the numbers in a sequence. In the sequence 3,6,9,12, and 15 the common difference is 3.

Answer:

8 ≤t≤16

We know the low temperature was 8

8≤ t

And the high was 16

8 ≤t≤16

Step-by-step explanation:

Answer:

36.87°

Step-by-step explanation:

Given the right angle triangle :

To obtain the value of Cosθ ; we use the trigonometric relation :

Cosθ = Adjacent / Hypotenus

The adjacent angle isn't given :

Opposite = 9 ; hypotenus = 15

Adjacent = √(hypotenus ² + opposite ²)

Adjacent = √(15² - 9²)

Adjacent = √(225 -81)

Adjacent = √144 = 12

Hence,

Cos θ = 12/15

θ = Cos^-1(12/15)

θ = 36.87°

Answer:

n=8

Step-by-step explanation:

Answer:

C. g(x) = 4x²

Step-by-step explanation:

we have one specific point on g(x) : (1,4)

so, for x=1 the functional value (y) has to be 4.

A. (4×1)² = 4² = 16 and not 4. => wrong

B. 1/4 × 1² = 1/4 and not 4. => wrong

C. 4×1² = 4 and that IS 4 => correct

D. 16×1² = 16 and not 4 => wrong