slove the equation for y and x
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[tex]3x - 8 = 4x - 17 \\ \\ \sf \longmapsto \: 3x + 4x = - 17 + 8 \\ \\ \sf \longmapsto \: 7x = - 9 \\ \\ \sf \longmapsto \: x = \frac{ - 9}{7} [/tex]

Answer:

4’3

Step-by-step explanation:

Took test

Answer:

4’3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

If we look at the point of intersection on the graph they intersect at point (3,-1) but x=3 and y=-1 therefore x=3.

Answer:

[tex]y = -4x^2 + 8x + 192[/tex]

Step-by-step explanation:

Hi there!

Standard form: [tex]y=ax^2+bx+c[/tex]

[tex]y = -4(x + 6)(x - 8)[/tex]

Use the distributive property to multiply (x+6) and (x-8)

[tex]y = -4(x(x - 8) + 6(x - 8))\\y = -4(x^2 - 8x + 6x - 48)\\y = -4(x^2 - 2x - 48)[/tex]

Multiply the parentheses by -4

[tex]y = -4x^2 + 8x + 192[/tex]

I hope this helps!

Answer:

2.4

Step-by-step explanation:

Took the assignment

Answer:

2.4 seconds is the correct answer.

Step-by-step explanation:

Just completed it.

Answer:

-1

Step-by-step explanation:

are you sure this is the right equation ? it would mean that the more toppings the cheaper the ice cream.

but as it is written, the slope is -1.

the slope of a line is always the factor of the variable in the equation.

it is the ratio of y/x indicating how many units y is changing for a given change of x.

in our example here, if x changes 1 unit to the right (+1), then y changes 1 unit down (-1).

so, -1/+1 = -1

The slope of the function f(t) = 3 - t is -1

"It defines a relation between input and output values."

"It is the rate of change of the dependent variable of the function with respect to that of the independent variable."

For given question,

We have been given a function f(t) = 3 - t

We need to find the slope of the function.

[tex]m=\frac{d}{dt}f(t)\\\\ m=\frac{d}{dt}( 3 - t)\\\\m=-1[/tex]

Therefore, the slope of the function f(t) = 3 - t is -1

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Answer:

below

Step-by-step explanation:

that is the procedure above

The factorized form of x² + 6x + 5 - 4y - y² is:(x + 1)(x + 5) - (4y + y²)

To factorize the expression x² + 6x + 5 - 4y - y², group the terms and factor them separately.

Rearranging the terms

(x² + 6x + 5) - (4y + y²)

Now let's factor each group separately:

1. Factoring x² + 6x + 5:

The quadratic expression x² + 6x + 5 can be factored into two binomial factors. We look for two numbers that multiply to give 5 and add up to 6 .

These numbers are 1 and 5:

(x + 1)(x + 5)

2. Factoring -4y - y²:

The terms -4y - y² have a common factor of -1.

Factoring out -1 gives

-1(4y + y²)

Combining the factorization of both groups

(x + 1)(x + 5) - 1(4y + y²)

Therefore, the factorized form is (x + 1)(x + 5) - (4y + y²).

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Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= [tex]P(6 \ males)+ P(7 \ males)[/tex]

= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]

= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]

= [tex]\frac{16870425}{30421755}[/tex]

= [tex]0.5545[/tex]

Answer:

y=4x-7

Step-by-step explanation:

here,

the equation of straight line in slope intercept form is;

y=mx+c

( m= slope

c= y-intercept )

soo..

the question has asked for slope 4 i.e. m=4

and y- intercept -7 i.e. c= -7

now.

the required equation is

y= 4x-7

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Answer:

a) 2, 4, 3, 6, 5, 10, 9, 16, ...

Step-by-step explanation:

Answer:

It's A.)

Step-by-step explanation:

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x - 2

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_1=-6\\\\a_2=a_1*(\dfrac{1}{4} )^1\\\\a_3=a_2*(\dfrac{1}{4} )^1=a_1*(\dfrac{1}{4} )^2\\\\\\\\a_n=a_1*(\dfrac{1}{4} )^{n-1}\\\\Answer\ A\\[/tex]

Answer:

multiply them

Step-by-step explanation:

trust me on this one i love using that hack

Answer:

They sold 162 vanilla cones.

Step-by-step explanation:

429-105=324

324/2=162

162+105=267 (chocolate)

267(chocolate)+162(vanilla)=429(total)

9514 1404 393

Answer:

  m = 2

  n = 3

Step-by-step explanation:

1125 = 9·125 = 3^2 · 5^3

  m = 2

  n = 3

_____

Additional comment

Using divisibility rules, you can keep dividing by the obvious factors until the quotient is 1.

  1125/5 = 225

  225/5 = 45

  45/5 = 9

  9/3 = 3

  3/3 = 1 . . . . . . 5 is a factor 3 times; 3 is a factor 2 times.

Answer:

people who ordered a cold drink=

[tex]8+12+5=25[/tex]

people who ordered a large cold drink= 5

[tex]probability= \frac{5}{25}[/tex] [tex]=\frac{1}{5}[/tex]

[tex]=\frac{1}{5} \times100=20~\%[/tex]

[tex]Answer: 20\%[/tex]

-----------------------

Hope it helps...

Have a great day!!

The probability that the customer ordered a large given that he or she ordered a cold drink is 5%.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given the order of the first 100 customers in a coffee shop.

Number of customers who ordered a large which is also a cold drink = 5

Total number of customers = 100

Probability = Number of desired outcomes / Total number of outcomes

Substituting,

Probability = 5 / 100 = 0.05 = 5%

Hence the required percent is 5%.

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Answer:

D'E' be parallel to the original line

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

Line [tex]DE[/tex]

[tex]k = 3[/tex] -- scale factor

Required

The relationship between [tex]DE[/tex] and [tex]D'E'[/tex]

When [tex]\triangle ABC[/tex] is dilated by a scale factor of 3, [tex]\triangle A'B'C'[/tex] will be three times as big as [tex]\triangle ABC[/tex].

Also:

Line [tex]D'E'[/tex] will be three times as long as [tex]DE[/tex]

Since no further transformation is done on [tex]\triangle ABC[/tex] and line [tex]DE[/tex], then [tex]D'E'[/tex] will be parallel to [tex]DE[/tex]

Answer:

[tex]\frac{16}{45}x-\frac{11}{12}[/tex]

Step-by-step explanation:

We are given that an expression

[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]

We have to find the equivalent expression.

[tex]\frac{2}{5}(\frac{1}{3}x-\frac{15}{8})-\frac{1}{3}(\frac{1}{2}-\frac{2}{3}x)[/tex]

[tex]\frac{2}{5}\times \frac{1}{3}x-\frac{2}{5}\times \frac{15}{8}-\frac{1}{3}\times \frac{1}{2}-\frac{1}{3}\times (-\frac{2}{3}x)[/tex]

Using the the property

[tex]a\cdot (c-b)=a\cdot c-a\cdot b[/tex]

[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]

[tex]=\frac{2}{15}x-\frac{3}{4}-\frac{1}{6}+\frac{2}{9}x[/tex]

[tex]=\frac{6x+10x}{45}+\frac{-9-2}{12}[/tex]

[tex]=\frac{16}{45}x-\frac{11}{12}[/tex]

[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)=\frac{16}{45}x-\frac{11}{12}[/tex]

The question is incomplete. The complete question is :

A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a  purple colored rhombus is in the middle, as shown in the given figure.

Based on this picture of the school flag, answer the following questions:  

(a) What fraction of the flag has the purple rhombus?

Solution :

From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks

The purple colored rhombus is made on the half of the 4 blocks.

i.e. [tex]$\frac{1}{2} \times 4 = 2\ \text{blocks}$[/tex]

Therefore, the fraction of the flag that has the purple rhombus is :

[tex]$=\frac{2}{24}$[/tex]

[tex]$=\frac{1}{12}$[/tex]

Answer:

it should be 3

Step-by-step explanation:

I hope this help

Answer:

angle c = 32.204°

Answer:

Unknown

Step-by-step explanation:

You need to reduce the fractions the best you can and solve from there :) not to sure tho I am only 13

Answer:

to add on to what the other dude said its 4

Step-by-step explanation:

Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w)

l = 14 and w = 18

P = 2(14+18)

P = 2( 32)

P = 64 meters

Perimeter of rectangle = 2 ( L + B )

Perimeter of rectangle = 2 ( 14 + 18 )

Perimeter of rectangle = 2 ( 32 )

Perimeter of rectangle = 64 meters.

Answer: SSS Similarity Theorem (Choice A)

This is because we have three pairs of corresponding sides that form the same ratio, as shown by the given equation PQ/ST = QR/TU = RS/US.

That equation is basically the shorthand version of PQ/ST = QR/TU and QR/TU = RS/US combined together as one.

Answer:

d

Step-by-step explanation:

alr, 15 fruits total, 6 are apples.

6/15 = 2/5

2/5 is also the same as 40% or 0.4, therefore the option is d.

go to gauthmath's sub reddit if needing more help ^^

Answer:

[tex]A = 100(.92)^{t}[/tex]

Step-by-step explanation: