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Umnica [9.8K]
3 years ago
14

Rewrite without absolute value for the given conditions:

Mathematics
1 answer:
svlad2 [7]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

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Can someone plz help me solved this problem I need help ASAP plz help me! Will mark you as brainiest!
miv72 [106K]

Answer:

-1, 1

13, 15

Step-by-step explanation:

x and x+2 are the integers

  • x*(x+2)= 7(x+x+2) -1
  • x²+2x= 14x+14-1
  • x² - 12x -13= 0

Roots of the quadratic equation are: -1 and 13.

So the integers pairs are: -1, 1 and 13, 15

3 0
3 years ago
Regla de correspondencia de f(x)=5x+4<br>​
nika2105 [10]

Answer:

Step-by-step explanation:

Regla why f = 5x +4. Question

3 0
3 years ago
PetSmart.com sold the following varieties of dog food in June 2003.
aivan3 [116]

Let x  be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He  wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

  • in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
  • in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
  • in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
  • in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.

Then 4x+4.725y+7.5z=66.

You get a system

\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.

From the first equation z=10-\dfrac{2}{3}x-\dfrac{7}{12}y. Substitute it into the second equation:

4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.

Simplify it:

-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.

y must be divided by 20, then

  • y=0, x=9, z=10-6=4;
  • y=20, x=16, z is not a whole number;
  • y=40, x=23,  z is not a whole number;
  • y=60, x=30, z=10-20-35<0;
  • thus, all other possible z will be <0.

Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.

5 0
3 years ago
Juan tiene cubos azules de 55 mm de arista y cubos rojos de 45 mm de arista. Los apila en dos columnas, una de cada color ; quie
balu736 [363]

the question in English

Juan has blue cubes with a 55 mm edge and red cubes with a 45 mm edge. He stacks them in two columns, one of each color; he wants the two columns to be the same height. How many cubes does he need, as a minimum, of each color?

Let

x---------> the number of blue cubes

y--------> the number of red cubes

we know that

Juan wants that  the two columns to be the same height

so

55x=45y

solve for y

y=\frac{55}{45}x

I proceed to calculate a table, assuming values of x to calculate the value of y. When the values of x and y are whole numbers, I will have found the solution.    

the table in the attached figure

therefore

<u>the answer is</u>

9 blue cubes

11 red cubes

7 0
3 years ago
The letters of the word STAR are written on individual cards. If you always choose three cards and then put them back before the
Svet_ta [14]

Answer:

24

Step-by-step explanation:

There are 4 possibilities for the first card.

After that, there are 3 possibilities for the second card.

Finally, there are 2 possibilities for the third card.

The total number of permutations is 4×3×2 = 24.

Here's the list (in alphabetical order):

ARS

ART

ASR

AST

ATR

ATS

RAS

RAT

RSA

RST

RTA

RTS

SAR

SAT

SRA

SRT

STA

STR

TAR

TAS

TRA

TRS

TSA

TSR

8 0
3 years ago
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