1) Given any logarithmic equation of the form logo x = y, what is the restriction on "x" and why?

Answer:

Sara's mother age : 40 years

Sara's age : 10 years

Step-by-step explanation:

Let Sara's mother age be x

and Sara age be y

Given , Sara's mother is now four time as old as Sara

• x = 4y ...1

also, in five years , she will be three times as old as Sara

In five years , Sara's mother age :- ( x + 5 )

Sara age :- ( y + 5 )

according to the question,

x + 5 = 3 ( y + 5 )

x + 5 = 3y + 15

x - 3y = 10 ... 2

putting value of x from 1 into 2

4y - 3y = 10

y = 10

putting y value in 1

x = 4y = 4 ( 10 ) = 40

So, Sara's mother age is 40years

and Sara's age is 10years .

Answer:

C.

Step-by-step explanation:

Like terms must have exactly the same variables and exactly the same exponents.

In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.

Answer: C.

Answer The picture shows you where to place your line

Step-by-step explanation:

Answer:

B. Alternate exterior angles

Step-by-step explanation:

Step-by-step explanation:

Lidal : 9 rolls for £3.51

1 roll for 3.51/9 = £0.39

Oldi : 4 rolls for £1.52

1 roll for 1.52/4 = £0.38

so, Oldi has the best value for money when buying toilet rolls.

Answer:

i think 15 if thats on your answer sheet

Step-by-step explanation:

may this answer helps you dear

Answer:if one part is bigger than the other then its bigger

this should help

Answer:

(8 × 3) + (8×2)

Step-by-step explanation:

Answer:

A. -10

B. 147

Step-by-step explanation:

-90 ÷ 9 = -10

7 · 21 = 147

Hope this helps!

Answer:

x= 21 is correct answer because x and 21° are opposite angles and opposite angles are congruent

Answer:

21 degrees

Step-by-step explanation:

Angle subtended by the arc is half the angle at the centre of the circle(98 degrees).

Answer:

72m

Step-by-step explanation:

since 5cm is 6m, just take 5 and make it 6, so 10cm is 12m and 5cm is 6m

multiply, and you get the answer

Answer:

the slope=-1 the slope perp=1

Step-by-step explanation:

to find slope perpendicular you just have to multiply your slope by something and have it equal -1

for example

1/2x=-1

the slope perpendicular to a line with the slope of 1/2 would be -2 beacause 1/2x-2=-1

so the slope x perpendicular slope = -1

Answer:

1024

Step-by-step explanation:

The expression can be written as [tex]8 * 2^7[/tex]

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

Example: The standard form of the polynomial 5 + 2x + x² is expressed.

We shall first determine the polynomial's degree before expressing it in standard form.

The degree of the provided polynomial is two. Write the phrase containing the polynomial's degree.

Given:

8*2^7

The above expression can be written as

[tex]=8 * 2^7[/tex]

= 8 x 128

= 1024.

Hence, the expression can be written as [tex]8 * 2^7[/tex]

Learn more about power here:

https://brainly.com/question/2289248

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Answer:  $20

Step-by-step explanation:

We will assume that there is a per-person cost:

$16/4 attendees = $4/attendee

($4/attendee)*5 attendees = $20

Given, consecutive / adjacent angles in a parallelogram are supplementary or make 180°. So, here (5a + 34)° & (3a + 26)° are supplementary angles.

=》5a + 34 + 3a + 26 = 180

=》5a + 3a + 34 + 26 = 180

=》8a + 60 = 180

=》8a = 120

=》a = 120/8

=》 a = 15

______

The picture is not clear, so I hope the values I took are correct.

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

C = 4s + 6a

C = 4(3) + 6(2)

C = 12 + 12

C = 24

Answer:

4

Step-by-step explanation:

Answer: 6x^2+1

(very sorry if this is wrong lol)

Step-by-step explanation:

Substitute all the given numbers into the equation, by doing so this should give you 2x-1+3x+2+x^2.

Since we have a group of x’s add them together, which would make 6x^2, this leaves our -1 and +2 add these these two numbers together to make plus one and finally you will have 6x^2+1

Answer:

$0.52

Step-by-step explanation:

3.19 (headband) - 2.67 (bracelet) = 0.52

Answer:

step 3

Step-by-step explanation:

when you multiply an even amount of negative numbers you will always get a positive result thus the answe would be 16.6 + 4.15 as in positive numbers

Answer:

Quadrants I and II

Step-by-step explanation:

y = x²

y = 3x + 10

x² = 3x + 10                     Substitute x² for y

x² - 3x - 10 = 0                 set the equation = 0

(x - 5) (x + 2)                     Factoring

x - 5 = 0 ; x + 2 = 0

x = 5 or x = -2

Now solving the y

y = x²     or     y = x²

y = (5)²   or y = (-2)²  

y = 25   or  y = 4

The points of interception is points (5, 25) or (-2, 4)  

(5, 25)  in Quadrant I ; (-2, 4) in Quadrant II

Answer:

shortest to longest -

B-77

A-59

C-44

Step-by-step explanation:

To put the sides in order of longest to shortest, first find the largest angle -- the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.

I HOPE THIS IS CORRECT!! SORRY IF NOT!!

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Your answer is 5,7... Oh that's wrong you forgot to link a file bud

Answer:

2nd option

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here a = - 1 < 0 then maximum

The maximum value is the value of the y- coordinate of the vertex

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

Here a = - 1 and b = 3 , then

x = - [tex]\frac{3}{-2}[/tex] = [tex]\frac{3}{2}[/tex]

Substitute this value into the equation for corresponding y- value

y = - ([tex]\frac{3}{2}[/tex] )² + 3([tex]\frac{3}{2}[/tex] ) - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{9}{2}[/tex] - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{18}{4}[/tex] - [tex]\frac{4}{4}[/tex] = [tex]\frac{5}{4}[/tex]

Then maximum value of [tex]\frac{5}{4}[/tex]

Answer:

the awnser is -1

Step-by-step explanation:

4+(-3)=1

1+-2=-1

Answer:

-1

Step-by-step explanation:

First, lets combine like terms (negatives with negatives)

-3 + -2 = -5

4-5 simplified equations from before

4-5= -1

so your answer is -1

hope this helps :)

Answer:

A

Step-by-step explanation:

the x intercept is -1

Answer:

Step-by-step explanation:

Hope This Helps Bye :]

Step-by-step explanation:

Answer: question 1   If you are going over the top of a hill or rollercoaster quickly, you could feel your stomach drop or stomach sink. In actuality, it's probably the sensation of all your internal organs shifting slightly in your ribcage as your body defies gravity for a few seconds.

Step-by-step explanation: i do not know the 2 question im sorry mabye question 1 may help if not thaks ok bye :)