Select the correct answer. Consider this system of equations, where function f is quadratic and function g is linear:

y = f(x)

y = g(x)



Which statement describes the number of possible solutions to the system?

A. The system may have no, 1, 2, or infinite solutions.

B. The system may have no, 1, or infinite solutions.

C. The system may have 1 or 2 solutions.

D. The system may have no, 1, or 2 solutions

Answers

Answer 1

Answer:

C is the answer

Step-by-step explanation:

Quadratic equations have at most 2 solution, and linear equations only have 1 solution, and since y is equal to both of them, it can only have 1 or 2 solutions.

Answer 2

The correct answer is option D.  The system may have no, 1, or 2 solutions

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

f(x) is a quadratic function and g(x) is linear function

y=f(x)

y=g(x)

Quadratic equations have at most 2 solution

linear equations only have 1 solution,

f(x)=g(x)=y

y is equal to both of them, it can only have 1 or 2 solutions.

A line and a parabola can intersect zero, one, or two times

Therefore, a linear and quadratic system can have zero, one, or two solutions

Hence, the correct answer is option D.  The system may have no, 1, or 2 solutions

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Related Questions

Find the height of the triangle by applying formulas for the area of a triangle and your
knowledge about triangles.

A. 5.3yds
B.3.7yds
C.1.9yds
D.2.6yds

Answers

Answer:

h=2.142

Step-by-step explanation:

Area of triangle(a)=1/2 b* h

Area of scalene traingle(a)=√s(s-a)(s-b)(s-c)

Semi perimeter(s)=(a+b+c)/2=(6+10+14)/2=15 yd

√s(s-a)(s-b)(s-c)=√15(15-6)(15-10)(15-14)=√15*9*5*1=√225=15 yd

Area of triangle(a)=1/2 b* h

15*2=14*h

30/14=h

h=2.142

You dont have any of those options so it might a mistake.

What’s the answer to this?

Answers

Answer:

you need to make a line by using the tools

If f(1) = 10 and f(n) = f(n − 1) – 3 then find the value of f(4).

Answers

Answer:

f(4) =1

Step-by-step explanation:

f(1) = 10

f(n) = f(n − 1) – 3

Let n=2

f(2) = f(2 − 1) – 3 = 10-3 = 7

Let n =3

f(3) = f(3 − 1) – 3 = f(2) -3 = 7-3 = 4

Let n = 4

f(4) = f(4 − 1) – 3 = f(3) -3 = 4-3 = 1

Answer:

9

Step-by-step explanation:

f(4)=4(4-1)-3

f(4)=4(3)-3

f(4)=12-3

f(4)=9

find the probability that a randomly selected student drives to school. (see attachment, probability models)

p (drive to school) = x/x
remember to reduce your answer

Answers

Answer:

2/5

Step-by-step explanation:

P(drive to school) = number of students that drive to school ÷ total number of students

P(drive to school) = 40/100

P(drive to school) = 2/5

Answer:

The probability would be:

(number of students drive to school)/(total number of selected students)

The number of students who drive to school can be calculated as [tex]2+13+25=40[/tex]The total number of students is stated as 100.

Therefore, the probability would be:

[tex]\frac{40}{100}=\frac{4}{10} =\frac{2}{5}[/tex]

Find the length of the third side. If necessary, round to the nearest tenth.
20
28
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP

Answers

Answer:

b = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

20^2+ b^2 = 28^2  

400 + b^2 = 784

b^2 = 784-400

b^2 =384

Taking the square root of each side

sqrt( b^2) = sqrt(384)

b =19.59591794

To the nearest tenth

b = 19.6

Answer:

19.6

Step-by-step explanation:

It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2

a=20

b=?

c=28 - c is the hypotenuse because it is across from the right angle

20^2 + b^2 = 28^2

400+ b^2 =784

b^2=384

b= 19.595917... or 19.6 (rounded to nearest tenth)

(PLEASE HELP you don't have to graph I just need the equations) Dr. Gilmore just got his PhD, and he wants to print copies of his thesis in hardcover book
format. He could use Belmont Printing, paying a setup fee of $40 and $4 for every book
printed. Alternately, he could go through Fairfax University, paying an up-front fee of $30
and $6 per book. It turns out that, given the number of books Dr. Gilmore wants to print, the
two options cost the same amount. How many books is that?
Write a system of equations, graph them, and type the solution.

Answers

the answer is B
yeah yeah that’s what she was saying she didn’t yyyyyyyyu

Solve: XC - XV. Show your answer as a Roman Numeral. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V X Х L с D M A) V B) VI C) VIL​

Answers

Answer: A

Step-by-step explanation:

I’m having a hard time finding the answer, any help is appreciated (:

Answers

Answer:

True.

Step-by-step explanation:

It fails the vertical line test. The vertical line test checks to see if any inputs (x values) have more than one output. In this case, they do.

Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?​

Answers

Answer:

13 inches

Step-by-step explanation:

I have done a Little draw because I don't know how i can explain you this exuse me


Write the decimal expansion for
6/11
Choose the correct answer below.
A. 0.45
B. 0.54
C. 0.5411
D. 0.4545...

Answers

6/11
the answer is d 0.545455
( divid 6 and 11) <<<< for proof

Find the least number by which the following number must be multiplied so that the product are perfect cube one number 72 to number 128 number 288 phone number 675​

Answers

Answer:

Well this question is actually a piece of cake. Just pick your favorite number. Multiply it by 10. Then do whatever operation you want with the 2,300. For the exponent part of this. Lets say we do it this way y times z equals 2,300. Exponents are letters used in mathematical terms. So any letter can be used to represent any number.

Step-by-step explanation:

A paper factory needs to ship an order for 4,500 sheets of yellow paper. The factory will put 50 sheets in each box. How many boxes will the paper factory need to us

Answers

Answer:

90

Step-by-step explanation:

If they put 50 sheets per box, then it is just simple division.

4,500 divided by 50 is 90.

Answer:

90 boxes

Step-by-step explanation:

They need to ship 4500 sheets of paper.

They put 50 pages in each box.

# of boxes they will need = amount of paper / amount of paper they put in each box

# of boxes they will need = 4500 / 50 = 90

Which statement best describes the function h(t) = 210 - 15t?
Oh is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable.
O h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
O t is the function name; h(t) is the input, or independent variable; and h is the output, or dependent variable.
Ot is the function name; h is the input, or independent variable; and h(t) is the output, or dependent variable.

Answers

Answer:

h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Step-by-step explanation:

The explanation is in the answer.

h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.

The given function is h(t) = 210 - 15t

The function is named h, and it takes an input value t (the independent variable) and produces an output value 15t (the dependent variable).

The function is often written as h(t) = 15t to make it clear that h is a function of t.

Hence, h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.

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New to Geometry! Help me pls!

Answers

Answer:

19

Step-by-step explanation:

30 - 11 = 19

Hope that helps! Good luck!

Answer:

19

Step-by-step explanation:

To do this problem, draw the lengths that are already given. I have done this for you, which you can see in the image below.

Subtract:

30 - 11 = 19

FG = 19

Hope this helped.

A diameter of a circle is 12 inches. What's the distance when rotate 3 circle ?

Answers

Answer:

36π inches which is 113.10 inches to the nearest hundredth

Step-by-step explanation:

The circumference = 12 * π

Rotating 3 times  the distance moved is 3 * 12π.

Express 2³a²b in factor form​

Answers

The given expression can be written in factor form as 4a(2ab)

Given:

2³a²b to be expressed in factor form

To express the above given expression in factor form follow the steps below;

expand the expression = 2³a²b = 2 x 2 x 2 x a x a x b)factorize by using the common factor = 4a(2ab)

Finally, the given expression can be written in factor form as 4a(2ab)

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what is 3.2 x 10^3=????????

Answers

[tex]\\ \rm\Rrightarrow 3.2\times 10^3[/tex]

[tex]\\ \rm\Rrightarrow 32\times 10^2[/tex]

[tex]\\ \rm\Rrightarrow 320\times 10^1[/tex]

[tex]\\ \rm\Rrightarrow 320(10)[/tex]

[tex]\\ \rm\Rrightarrow 3200[/tex]

Answer:

3200

Step-by-step explanation:

3.2·10^3

You move your decimal right three times. and you should get 3200.

3.2·10^3=3200

When solving equations, if I subtract 5 on the right side of the equation do I have to subtract 5 on the left side of the equation?

Answers

Answer:

Yes

Step-by-step explanation:

Adding to both sides of the equation will keep both sides equal

PLEASE HELP

Simplify by combining like terms.

2/3b - 2 3/4b =??


Answers

Step-by-step explanation:

the Anwer is 2-6b(3/4b) / 3b

Answer: -2[tex]\frac{1}{12}[/tex] b or -[tex]\frac{25}{12}[/tex] b

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] b - 2 [tex]\frac{3}{4}[/tex] b

= [tex]\frac{2}{3}[/tex] b - [tex]\frac{11}{4}[/tex] b

= [tex]\frac{8-33}{12}[/tex] b

= -[tex]\frac{25}{12}[/tex] b

= -2[tex]\frac{1}{12}[/tex] b

Please help me asap it's for a grade.​

Answers

Answer:

212 in²

Step-by-step explanation:

Top and bottom:

2(2 + 4)*4 = 48

Front and back:

2(4*7 + 2*10) = 96

Left and right:

10*4 + 4*7 = 68

Total surface area:

48 + 96 + 68 = 212 in²

Answer:

=280

Step-by-step explanation:

Step 1:

find the surface areas of both the figures

area of 1rst:

length = 2

width =4

height = 10

surface area formula = 2(wl+wh+hl)

= 136

area of second

length = 4

width =4

height = 7

surface area formula = 2(wl+wh+hl) =

2·(4·4+7·4+7·4)=144

144 + 136 = 280

I hope this helps!! :)

Calculate the sum and enter it below.
8+ (-12)

Answers

Answer:

-4 is the answer

Answer:

-4

Step-by-step explanation:

8+(-12)

+ x - = -

8-12

-4

solve 7y 4/y 2 = -4/3

Answers

Answer:

Step-by-step explanation:

(7y+4)/(y+2)=-4/3

[tex]\dfrac{7y+4}{y+2}=\dfrac{-4}{3}\\\\[/tex]

Cross multiply,

(7y + 4) * 3 = -4*(y+ 2)

Use distributive property,

7y*3 + 4*3 = -4*y + 2*(-4)

21y + 12 = -4y - 8

Subtract 12 from both side

21y = -4y - 8 - 12

21y = -4y - 20

21y + 4y = -20

25y = -20

y = -20/25

[tex]y=\dfrac{-4}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7y+4}{y+2}=\dfrac{-4}{3}[/tex]

[tex]\\ \sf\longmapsto 3(7y+4)=-4(y+2)[/tex]

[tex]\\ \sf\longmapsto 21y+12=-4y-8[/tex]

[tex]\\ \sf\longmapsto 21y+4y=-8-12[/tex]

[tex]\\ \sf\longmapsto 25y=-20[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-20}{25}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-4}{5}[/tex]

The sum of two numbers is 83 if one of the number is 7 more than the other find the two numbers?​

Answers

Answer:

48.5 and 34.5

Step-by-step explanation:

83 divided by 2 and then subtract 7

Answer:

45 and 38 equal 83 and 45 is 7 more than 38

could anyone help with this, thanks !!

Answers

Answer:

Step-by-step explanation:

Be Precise What is the difference between a terminating decimal and a repeating
decimal?

Answers

Answer:

Terminating decimals have a finite number of digits after the decimal point. Repeating decimals have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.

1. When doing polynomial division, the terms should be in order of their exponents, highest
to lowest, with the number last.

Answers

Answer:

True

Step-by-step explanation:

The powers must be arranged from highest to lowest for both the numerator and the denominator, so the terms will line up during the subtraction steps.

PLS HELP ME ON THIS QUESTION I WIL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The number of rare coins a coin collector owns is considered ________ data.
A. discrete
B. continuous
C. neither continuous nor discrete
D. both continuous and discrete

Answers

Answer:

The number of rare coins a coin collector owns is considered discrete data.

42°
Х

please help with this

Answers

Answer:

X=48degrees.

Step-by-step explanation:

Sum of all angle of traingle=180degrees.

So, 90+42+X=180

132+X=180

X=180-132=48degrees

04 Name the
Name the property
1(-15) X (-56)
1) (-72) X 26 26 X4-72)
m) 3% (-40) X 32 X 11-463) X32
(-15) X 105 (-15) X (100$;]-1-15) %100 f15XSI

Answers

Answer:

integers integers OK ok ok ok ok ok ok

b - 8 = 9
---------------

Answers

Answer:

b-8=9

b=9+8

b=17

Step-by-step explanation:

hope it will help you mark me as a brilliant.

Answer:

b=17

Step-by-step explanation:

b-8=9

first isolate the variable by adding 8 to both sides

this gives us

b=17

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