1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artyom0805 [142]
3 years ago
8

Simplify the expression (-2y+5)(y+3)

Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

=-2y^2-y+15

Step-by-step explanation:

\left(-2y+5\right)\left(y+3\right)\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\a=-2y,\:b=5,\:c=y,\:d=3\\=\left(-2y\right)y+\left(-2y\right)\cdot \:3+5y+5\cdot \:3\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=-2yy-2\cdot \:3y+5y+5\cdot \:3\\\mathrm{Simplify}\:-2yy-2\cdot \:3y+5y+5\cdot \:3:\quad -2y^2-y+15\\-2yy-2\cdot \:3y+5y+5\cdot \:3

2yy=2y^2\\2yy\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\yy=\:y^{1+1}\\=2y^{1+1}\\\mathrm{Add\:the\:numbers:}\:1+1=2\\=2y^2\\2\cdot \:3y=6y\\2\cdot \:3y\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6\\=6y

5\cdot \:3=15\\5\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3=15\\=15\\=-2y^2-6y+5y+15\\\mathrm{Add\:similar\:elements:}\:-6y+5y=-y\\=-2y^2-y+15

You might be interested in
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The a
Xelga [282]
The andwer would be 10 baby
4 0
3 years ago
Read 2 more answers
A radio station ordered hats and coffee mugs to give away as prizes. A total of 1,000 of these items were ordered, and 3 times a
marshall27 [118]

Answer:

The options are not shown, so i will answer in a general way.

Let's define the variables:

h = number of hats

m = number of mugs.

We know that a total of 1000 items were ordered, then:

h + m = 1000

We also know that we have 3 times more mugs than hats, this can be written as:

m = 3*h

Now we have the system of equations:

h + m = 1000

m = 3*h

To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:

h + m = 1000

h + (3*h) = 1000

Now we can solve this equation for h, and find the number of hats ordered.

4*h = 1000

h = 1000/4 = 250

There were 250 hats ordered.

3 0
3 years ago
The longest side of an isosceles right triangle measures 16m. What is the perimeter ofthe triangle?
Andreyy89

Answer:

In right triangle hypotenus(side facing angle 90)is the longest

Step-by-step explanation:

lets say hyp=side1 +side2 were(side1=side2 in isocseles..) and Let x bet the length of side 1

So by applying phythegoras theorem :

hyp^2=x^2+x^2

16^2 =2x^2

2x^2=256

x^2=128

\sqrt{x { }^{2} }  =  \sqrt{128}

x=

8 \sqrt{2}

Parameter=16+8

8 \sqrt{2 }  + 8 \sqrt{2 }  + 16

16 \sqrt{2}  + 16

7 0
2 years ago
The price of Philip's favorite candy has been reduced by $0.15 per piece. Philip buys 14 pieces and spends $3.22.
kompoz [17]
3.22 divided by 14 is .23.   .23 plus .15 is .38 cents per candy at regular price.
6 0
3 years ago
Read 2 more answers
The stones that make up Stonehenge in England are shaped roughly like rectangular prisms. The average stone in the outer circle
AnnyKZ [126]

find 1/2 then add the two base the multiply the h and divide by two

5 0
3 years ago
Other questions:
  • How much is 2,605 rounded to the nearest hundred
    13·1 answer
  • How to find the area for a Isoceles triangle
    13·2 answers
  • If Hector is 8 years old and Mary is 3 years old how old will Mary be when Hector is 16
    5·1 answer
  • PLEASE, ANSWER WILL GIVE BRAINLIEST
    6·1 answer
  • 2. The picture shows a feeding trough that is shaped like a right prism. (a) The top of the feeding trough is open so that anima
    12·1 answer
  • Explain why it would be silly to write y is directly proportional to 3x
    11·1 answer
  • Please help fast! The rate of change is constant in the graph. Find the rate of change in my question in Question 4. Points scor
    13·1 answer
  • PLEASE HELP ME ON THIS QUESTION FAST
    9·2 answers
  • what are the coordinates of pint U
    13·2 answers
  • Please answer my question
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!