An older person is 8 years older than seven times the age of a younger person. The sum of their ages is 32. What are their ages?

Answer:

Equation for M → g(x) = [tex]\frac{5}{4}x^{2} + 2[/tex]

Equation for N → h(x) = [tex]\frac{5}{4}(x+4)^2-1[/tex]

Step-by-step explanation:

Vertex of the graph of y = f(x) is (2, -1)

Therefore, equation of the function will be,

y = a(x - 2)² - 1

Since this graph passes through a point (0, 4),

4 = a(0 - 2)² - 1

4 = 4a - 1

a = [tex]\frac{5}{4}[/tex]

Hence, we get the equation of the function 'f' as,

f(x) = [tex]\frac{5}{4}x^{2} -1[/tex]

Now this graph has been shifted 3 unit up to get the new graph M

Equation for M will be,

g(x) = f(x) + 3

g(x) = [tex]\frac{5}{4}x^{2} - 1 + 3[/tex]

g(x) = [tex]\frac{5}{4}x^{2} + 2[/tex]

Further graph of function 'f' is shifted 4 units to the left then equation of the new function (N) will be,

h(x) = f(x + 4)

h(x) = [tex]\frac{5}{4}(x+4)^2-1[/tex]

Answer:

49 = 7m

m = 7

Step-by-step explanation:

200 - 151 = 49

There are 49 M&M's left

m = M&M's per day

7(7) = 49

Answer:

49 ÷ 7 = 7

Step-by-step explanation:

200 - 151 is 49 so 7 beacuase 49 divided by 7 is 7

Answer:

Step-by-step explanation:

y = 2√(x-8)

y² = 4(x-8) = 4x-32

4x = y²+32

x = 0.25y² +8

Answer:

reflection

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation:

As you can see, its the same shape, and the same size...but it looked mirrored. ABC has been reflected over the y-axis to make DEF.

It's not rotation, because the shape has not been rotated, if so it would have been in a different position

It's not translation, because the shape didn't stay in the same format (facing one side).

So it must be reflection

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Please write this as 3 sqrt x + 8 = -4.  

Note that if we try to isolate 3 sqrt x by subtracting 8 from both sides, we get 3 sqrt x = -12.  There is no real solution; sqrt x can never be negative.

Answer:

it's a scalene triangle whose all sides are different

Answer:

Mean is 83.7%

And, the standard deviation is 0.033

Step-by-step explanation:

The computation of the mean and the standard deviation is as follows:

Let us assume the P be the sample proportion

Mean is 83.7%

And, the standard deviation is

[tex]= \sqrt{\frac{p(1-p)}{n} } \\\\=\sqrt{\frac{0.837(1-0.837)}{125} }[/tex]

= 0.033

Answer:

C: 55

Step-by-step explanation:

Rearrange the bracketed terms to:

(10 + 0) + (10 + 1) + (10 + 2) + ... + (10 + 10)

There are 11 brackets so we have (11 * 10) + (0 + 1 + 2 + ... + 10) =

(11 * 10) + 55

Answer:

A and C are true

Step-by-step explanation:

Answer:

3 - x =-9

3+ 9 =x

x = 12

so, correct answer

x =12

Answer:

shiiiii i dont no Nlgga

Step-by-step explanation:

Answer:

The answer is B or 1/5/

Step-by-step explanation:

We know that it hold the letters A,B,C,D, and E. That makes it have 5 different letters in it. There is only one of each letter in the box too. This makes it have a 1/5 of a chance of picking the letter E.

B) is Your answer

11.76

Step-by-step explanation:

[tex]19.98 + 64.93 = 84.93[/tex]

[tex]84.93 - 73.17 = 11.76[/tex]

is Your perfect answer

Answer:

Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.

Step-by-step explanation:

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

18% of the students are in favor of changing the dress code.

This means that [tex]p = 0.18[/tex]

You randomly select 15 students

This means that [tex]n = 15[/tex]

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051[/tex]

[tex]P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678[/tex]

[tex]P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234[/tex]

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Answer:

c

Step-by-step explanation:

Answer:

12n

Step-by-step explanation:

Answer:

D

Because you have to find out what they could all equal up to

Answer:

d

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation:

u can eliminate option 1 and 4 because the circles are empty and this problem has an equal to sign. the greatest number x can be is -2 because that would make the left side of the equation equal to three. Therefore x must be less than or equal to -2 to make the equation true(as graphed)

Answer:

y = 2/3x

Step-by-step explanation:

Answer:

105.7143%

Step-by-step explanation:

pls make me brainliest

Answer:

42

Step-by-step explanation:

hope this helps!;)

Answer:

-x-8

Step-by-step explanation:

hope this helps

Answer:

if it is -8 subtracted from -x then

-x-(-8)

if it is 8 subtracted from x then

x-8

Answer:

The width is 3cm, and the length is 7cm.

Step-by-step explanation:

Let's call the length of the rectangle [tex]l[/tex], the width of the rectangle [tex]w[/tex], and the area of the rectangle [tex]A[/tex], and write down everything we know about them.

The length of the rectangle is 11 centimetres less than six times its width, so we know that [tex]l = 6w - 11[/tex].

We also know that [tex]A = 21[/tex]. But what exactly is the area of a rectangle? Well, it's the product of its length and width, i.e. [tex]A = l\times w[/tex].

Then we have two equations involving [tex]l[/tex] and [tex]w[/tex]:

[tex]l = 6w - 11[/tex], and [tex]l\times w = 21[/tex].

So how do we find [tex]l[/tex] and [tex]w[/tex]? Let's substitute our first equation into our second, like so:

[tex]l \times w = (6w - 11) \times w\\{}\hspace{0.8cm}= 6w^2 - 11w\\{}\hspace{0.8cm}= 21[/tex]

We can rearrange this new equation to get everything on the same side, so that we have a standard quadratic equation, like this:

[tex]6w^2 - 11w - 21 = 0[/tex].

We can use the quadratic formula for this. You should have seen this before:

[tex]w = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex],

where [tex]a,b,c[/tex] are the coefficients of our quadratic equation. Plugging the values in, we see

[tex]w = \frac{11\pm\sqrt{121+504}}{12}\\\\{}\hspace{0.25cm}=\frac{11\pm\sqrt{625}}{12}\\\\{}\hspace{0.25cm}=\frac{11\pm25}{12}[/tex].

With a little further cancellation, we can find our two possible values of [tex]w[/tex] are

[tex]w = \frac{36}{12} = 3[/tex]  and [tex]w = \frac{-14}{12}[/tex].

Since [tex]w[/tex] is a width of a rectangle, it can't possibly be negative, and so it must be 3.

We can now plug in this value into our equation from earlier, namely [tex]l = 6w - 11[/tex]. We can see that

[tex]l = 6\times 3 - 11 = 18 - 11 = 7[/tex],

and so we get our answer, [tex]w = 3[/tex]cm, [tex]l = 7[/tex]cm.

We can prove that this is right by multiply 3 and 7 together, and seeing that we get 21, the area we expect.

Answer:

5/12

Step-by-step explanation:

A coin has two faces (H, T)

n(S) = 2 (sample space)

If it is tossed and a rail is gotten,

n(E) = 1 (event)

Probability of tossing a tail = n(E)/n(S)) = 1/2

If a dice is rolled, the sample space S = {1, 2, 3, 4, 5, 6}

n(S) = 6

Number greater than 1 are the evens E = {2, 3, 4, 5, 6}

n(E) = 5

pr(rolling a number greater than 1) = 5/6

Hence  the probability of tossing a tail and then rolling a number greater than 1 = 1/2 * 5/6

= 5/12

Answer:

C

Step-by-step explanation:

SU/UR = ST/QT

10/7=10/x

70=10x

7=x

A=7

Have a nice day :)

Answer:

1/4 = 5/20

Step-by-step explanation:

1/4 = 5/20

Answer:

Step-by-step explanation:

1/4 is equivalent only to B (5/20).  To check this, try dividing 20 into 5 with a calculator; you should get 0.25 = 5/20

Answer:

C

Step-by-step explanation:

By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.

Answer:

why do the delete my answer