please help what is #4?

Step-by-step explanation:

Las ecuaciones dadas son ,

=> x² + 2x -15 = 0

Y necesitamos encontrar la solución de la Ecuación dada.

=> x² + 5x -3x -15 = 0

=> x(x+5) -3(x+15) = 0

=> (x+5)(x-3) = 0

=> x = 3,-5

La segunda ecuación es,

=> x² -4x -12 = 0

=> x² -6x+2x-12=0

=> x(x-6)+2(x-6) = 0

=> (x+2)(x-6) = 0

=> x = 6,-2

Espero eso ayude :)

Answer:Hi!

where is the question?

Step-by-step explanation:

Answer:

Density is g/cm^3, not gcm^3

Mass = 32.16 grams [32.2 grams for 3 sig figs)

Step-by-step explanation:

Density = Mass/Volume

Density = 2.4g/cm^3

Volume = 13.4cm^3

---

2.4g/cm^3 = Mass/13.4cm^3

Mass = (2.4g/cm^3)*(13.4cm^3)

Mass = 32.16 grams [32.2 grams for 3 sig figs)

The mass of the glass-bottle is 32.16 grams.

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

The density of glass in a bottle is 2.4 grams per cubic centimeters.

The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.

Density = Mass/Volume

Density = 2.4 grams per cubic centimeters.

Volume = 13.4 cubic centimeters.

Substituting all the values,

2.4 = Mass / 13.4

Mass = 13.4 x 2.4

Mass = 32.16

Therefore, mass = 322.16 grams.

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Answer:

280 mangoes

Step-by-step explanation:

sum the parts of the ratio, 7 + 11 = 18 parts

Divide the total by 18 to find the value of one part of the ratio.

720 ÷ 18 = 40 ← value of 1 part of the ratio , then

7 × 40 = 280 ← number of mangoes

Answer:293

Step-by-step explanation:

720-719= 1

1+292= 293

[tex]\sf 6-2x+5+4x[/tex]

[tex]\sf \longmapsto - 2x + 4x + 6 + 5[/tex]

[tex]\sf \longmapsto - 2x + 4x + 11[/tex]

[tex]\sf \longmapsto2x + 11[/tex]

Step-by-step explanation:

such an equation is a simple linear function :

y = ax + b

b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.

our job is now to find the correct a and b values.

we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.

132.5 = a×25 + b

145 = a×30 + b

now, we can use a little trick and simply subtract the whole first equation from the second equation.

145 = a×30 + b

- 132.5 = a×25 + b

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

12.5 = a×5 + 0

5a = 12.5

a = 2.5

with this we go into one of the original equations, e.g. the second one :

145 = 2.5×30 + b = 75 + b

70 = b

so, it full equation is

y = 2.5x + 70

the costs for 85 students are

y = 2.5×85 + 70 = 212.5 + 70 = $282.50

Answer:

im not sure ask siri

Step-by-step explanation:

she knows everything

Answer:

the shape of the graph is a vertical straight line. So the angle is 90°

So tan 90° = infinite

Answer:  The slope is undefined.

Step-by-step explanation:

The slope is undefined because it is based on the Rise (y) over the Run (x) of the data points.  X is not changing even as y goes from -2 to 8.  If we took the first and last points, (-1,-2) and (-1,8) and go from left to right, y increases by (8-(-2)) = 10 while x is unchanged, or o.  Rise/Run therefore becomes 10/0.  Division by 0 is undefined in math, so the slope is undefined.

This is a straight vertical line going through x = -1.  All y's are on this line.  Undefined slope.

Answer:

1 2/3, and -1 2/3

Step-by-step explanation:

Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.

Answer:

E. 214

Step-by-step explanation:

Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal

8x - 37 = 5x + 17

3x = 54

x = 18

Now substitute to check

8(18) - 37 = 5(18) + 17

107 = 107

So if this is true, to find the segment A to B, just add segments A to F and F to B together

107 + 107 = 214

The length of segment AB is 214

Answer:

30=2(10 x w)

Step-by-step explanation:

P=2(l x w)

Perimeter(P) equals two times length(l) times width(w)

Hope this helps

Answer: i think it's A or D

Step-by-step explanation:

Answer:

A) x > -6

Step-by-step explanation:

X is bigger than negative 6 since the arrow of the number line is pointing to the positive numbers then that means x is one of the positive numbers.

Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form

Replace the denominator by 2^10

Now we apply exponential property

negative exponent other than -1 is

Answer:

He did not simplify correctly and forgot to place the decimal point correctly.

Step-by-step explanation:

To simplify the equation, one needs to divide both sides of the equal sign by 5.

i.e 5.25/5=5/5

Here we find 1.05=1

Note the placement of the decimal point.

Answer:The first option is correct

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[

Answer:  The job pays $32,400 per year, and the agency fee is equal to 45% of one month's pay.

Answer:

C. 2

Step-by-step explanation:

Use the formula  

x  =  − b /2 a

to find the maximum and minimum.

( − 3 , 2 )

Answer:

x=-2/3

Step-by-step explanation:

Answer:

They are proportional

Step-by-step explanation:

Proportionality:

They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.

Graphing:

Go to the 2 on the x-axis (horizontal line)

Go up to the 20 on the y-axis (vertical line)

The points to graph are:

(2,20)

(4,30)

(6,40)

(8,50)

I put a pic of what your graph should look like below!

Answer:

To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.

Step-by-step explanation:

Answer:

An urban area would be New York City, a rural area would be a small town in western Kansas.

Step-by-step explanation:

Answer: Using the conditions required for a binomial experiment, the probability of success is the same for each trial in the experiment, Hence, the probability of failure on trial 11 will be 0.16 . The probability of success, p = 0.84; the probability of failure can be expressed as;  p(failure) = 1 - p(success) = 1 - 0.84 = 0.16 . The probability of success or failure in each and every trial of a binomial experiment is the same and hence, does not change from trial to trial.  Therefore, the probability of failure in the 11th trial is 0.16.

Step-by-step explanation: Generally, one the attributes of a binomial experiment is that the probability of success and failure is constant every trial so given from the question that the probability of success is 0.84 for trial 7, then the probability of failure of trial 7 will be evaluated as  => q=1-0.84. q=0.16. And from the attribute stated above the probability of failure of trial 11 is q=0.16  

Answer:

315 = 3^2 × 5^1 × 7^1

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7

The explicit rule for the sequence is Tn = 2n - 1

Given the sequence 1, 3, 5, 7, 9...

The explicit formula for the nth term is expressed as:

[tex]T_n=a+(n-1)d[/tex]

a is the first term = 1

d is the common difference = 3 - 1 = 5 - 3 = 2

n is the number of terms

Substitute the given parameters into the formula to have;

[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]

Hence the explicit rule for the sequence is Tn = 2n - 1

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Answer:

1st: 1+(k-1)2

2nd: 399

3rd: C

4th: 40,000

Answer:

13 and 1/3

Step-by-step explanation:

2×5=10

2/3 ×5 =10/3

10/3 simplifies to 3 and 1/3

Add them together to get 13 and 1/13

Answer:

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Step-by-step explanation:

The best interest rate which banks can charge a customer is the prime rate.

Reasons:

The Annual Percentage Rate, APR = Prime + 5%

∴ APR = 10% + 5% = 15%

[tex]\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%[/tex]

The balance on June 1 = $2,550

Daily balance, June 1 — 3 = $2,550 × 3 = $7,650

June 4 borrowed $5,300

The new unpaid balance = $2,550 + $5,300 = $7,850

Daily balance from June 5 — 8 = $7,850 × 3 = $23,550

Chris made payment on June 9

Unpaid balance = $7,850 - $800 = $7,050

Daily balance from June 9 — 16= $7,050 × 8 = $56,400

June 17 borrowed $5,600

Unpaid balance = $7,050 + $5,600 = $12,650

Daily balance June 17 — 30 = $12,650 × 14 = $177,100

Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700

[tex]\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3[/tex]

Finance charge = Average daily balance × Periodic rate

∴ Finance charge = $6,823.[tex]\overline 3[/tex] × 0.0125 = $85.291[tex]\overline 6[/tex]

New balance = Cash advance + Credits and payment + Previous balance + Finance charge

New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291[tex]\overline 6[/tex]

= $12,735.291[tex]\overline 6[/tex]

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Answer:

(1,2).(1,3),(4,3)

Step-by-step explanation:

The inverse of (1,2).(1,3),(4,3) is (2, 1), (3, 1), (3, 4) and this is not a function as a function is a set X to a set Y, not multiple to one.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation: