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
Tcecarenko [31]
3 years ago
13

F(x) = x − 3 and g(x) = 2x + 8 Which ordered pair is a solution for the system?

Mathematics
2 answers:
Phoenix [80]3 years ago
8 0

I put it into Desmos and got (-11, -14)

kondor19780726 [428]3 years ago
6 0

f(x)=g(x)\to x-3=2x+8\qquad\text{add 3 to both sides}\\\\x=2x+11\qquad\text{subtract 2x from both sides}\\\\-x=11\to\boxed{x=-11}\\\\\text{Put the value of x to the equation of f(x):}\\\\f(-11)=-11-3=-14\\\\Answer:\ \boxed{x=-11\ and\ y=-14\to(-11,\ -14)}

You might be interested in
59% of 640. We are supposed to find the percent of each number (as you can see)
Novosadov [1.4K]

Answer:

377.6

Step-by-step explanation:

Multiply 59 by 640 and then move the decimal point over two numbers.

59% of 640

59 x 640

37760.0

377.6


4 0
3 years ago
suppose Q is the midpoint of PR. use the information to find the missing value. PQ equals 3x + 14 and QR equals 7X - 10; find X.
NARA [144]

Answer:

x=6

Step-by-step explanation:

A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.

This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.

3x+14=7x-10\\3x+24=7x\\24-4x\\x=6

4 0
3 years ago
Read 2 more answers
25 POINTS PLEASE PLEASE HELPPPP, ALSO THE QUESTION IS WORTH 4 MARKS SO PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPP
patriot [66]
So u already know that the radius is half of the circle which in this case is 28 mm. And both circles at the top touch both sides of the rectangle.
Process:
28x4=112.
This is the top side, but because you could fit 2 circles at the top and you know the measurement, it is common sense to think that it would be the same on the other side. So the area of the square/ rectangle:
112x112= 12,534 mm
5 0
3 years ago
Evaluate the function for the given values to determine if the value is a root. p(−2) = p(2) = The value is a root of p(x).
bija089 [108]

<em>Note: Since you missed to mention the the expression of the function </em>p(x)<em> . After a little research, I was able to find the complete question. So, I am assuming the expression as </em>p(x)=x^4-9x^2-4x+12<em> and will solve the question based on this assumption expression of  </em>p(x)<em>, which anyways would solve your query.</em>

Answer:

As

p\left(-2\right)=0

Therefore, x=-2 is a root of the polynomial <em> </em>p(x)=x^4-9x^2-4x+12

As

p\left(2\right)=-16

Therefore, x=2 is not a root of the polynomial <em> </em>p(x)=x^4-9x^2-4x+12

Step-by-step explanation:

As we know that for any polynomial let say<em> </em>p(x)<em>, </em>c is the root of the polynomial if p(c)=0.

In order to find which of the given values will be a root of the polynomial, p(x)=x^4-9x^2-4x+12<em>, </em>we must have to evaluate <em> </em>p(x)<em> </em>for each of these values to determine if the output of the function gets zero.

So,

Solving for p\left(-2\right)

<em> </em>p(x)=x^4-9x^2-4x+12

p\left(-2\right)=\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12

\mathrm{Simplify\:}\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12:\quad 0

\left(-2\right)^4-9\left(-2\right)^2-4\left(-2\right)+12

\mathrm{Apply\:rule}\:-\left(-a\right)=a

=\left(-2\right)^4-9\left(-2\right)^2+4\cdot \:2+12

\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}

=2^4-2^2\cdot \:9+8+12

=2^4+20-2^2\cdot \:9

=16+20-36

=0

Thus,

p\left(-2\right)=0

Therefore, x=-2 is a root of the polynomial <em> </em>p(x)=x^4-9x^2-4x+12<em>.</em>

Now, solving for p\left(2\right)

<em> </em>p(x)=x^4-9x^2-4x+12

p\left(2\right)=\left(2\right)^4-9\left(2\right)^2-4\left(2\right)+12

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

p\left(2\right)=2^4-9\cdot \:2^2-4\cdot \:2+12

p\left(2\right)=2^4-2^2\cdot \:9-8+12

p\left(2\right)=2^4+4-2^2\cdot \:9

p\left(2\right)=16+4-36

p\left(2\right)=-16

Thus,

p\left(2\right)=-16

Therefore, x=2 is not a root of the polynomial <em> </em>p(x)=x^4-9x^2-4x+12<em>.</em>

Keywords: polynomial, root

Learn more about polynomial and root from brainly.com/question/8777476

#learnwithBrainly

7 0
3 years ago
Read 2 more answers
The number part when a number and a variable are multiplied together in a term is called the _____.
77julia77 [94]

Answer:

Coefficient

Step-by-step explanation:

-Usually a combination of variables and constants are multiplied to get a product.

-The constant or number part in the multiplication process is called the Coefficient

7 0
3 years ago
Other questions:
  • Jonah took a survey. Of the students he surveyed, 40% of the students play baseball. Of those students, 60% also play soccer. If
    11·1 answer
  • Tom ate 1/4 of a pizza. he divided the leftover pizza into pieces each equal to 1/12 of the original pizza. after he gave some f
    14·1 answer
  • Factor:<br> x2 + 9x - 36
    9·2 answers
  • A bond with a face value of $1,000 and 15 years remaining until maturity pays a coupon rate of 10% semi-annually. Calculate its
    7·1 answer
  • If 80 is divided by the sum of 4 and a certain number , the result is 16 .find the number
    9·1 answer
  • Add the following fractions. 3/8 + 5/12 = <br> a 8/20 <br> b 19/24 <br> c 8/24 <br> d 1/3
    15·2 answers
  • What is the correct decimal expansion for 2 1/11 ​?<br> A. 2.09<br> B. 2.57<br> C. 2.09<br> D. 2.11
    8·1 answer
  • A store donated 2 1/4 cases of crayons to a day care center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How
    14·2 answers
  • Show me how to a calculator. That use divide using partial quotients
    12·1 answer
  • Here’s the explanation!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!