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3 years ago

What is the range of the function y = x² + 1?

Mathematics

2 answers:

erica [24]3 years ago

8 0

Answer:

range { 1, ∞ }

Step-by-step explanation:

y = x² + 1

is a parabola with its vertex at (0, 1)

The range is { 1, ∞ }

Mazyrski [523]3 years ago

7 0

Answer

[ 1 by 2, -1 by 2 ]

Step-by-step explanation:

https://haygot.s3.amazonaws.com/questions/1118559_1200733_ans_2ec06a240d2240e49dc1c9fda7b41ef5.jpeg

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Select the two values of x that are roots of this equation. 2x+11x+15= 0

Amiraneli [1.4K]

Answer:

The roots of the equation are x=-3 and x=-2.5

Step-by-step explanation:

The correct quadratic equation is

2x^2+11x+15=0

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$2x^{2} +11x+15=0$

$a=2\\b=11\\c=15$

substitute in the formula

$x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}$

$x=\frac{-11(+/-)\sqrt{121-120}} {4}$

$x=\frac{-11(+/-)\sqrt{1}} {4}$

$x=\frac{-11(+/-)1} {4}$

$x_1=\frac{-11(+)1}{4}=-2.5$

$x_2=\frac{-11(-)1}{4}=-3$

therefore

The roots of the equation are x=-3 and x=-2.5

5 0

3 years ago

some friends need 100 bows for a project Sara brings 12 bows Angela brings 50 bows and Nora brings 34 bows how many more bows do

Irina-Kira [14]

They need 4 more because 12+50+34=96 96-100 is 4 hope this helps ya

7 0

3 years ago

Read 2 more answers

25 Points!! The graph represents the first three terms in an arithmetic sequence.

Drupady [299]

Answer:

Step-by-step explanation:

$y-1=\frac{4-1}{2-1}(x-1)\\y-1=3(x-1)\\y=3x-3+1\\y=3x-2$

an=an-1+3

when x=15

y=3×15-2=45-2=43

a15=43

4 0

3 years ago

Read 2 more answers

Which function defines the sequence 7,4,1,-2,-5... where f(8)=-14

Ronch [10]

Answer:

f(x)= -3x+10

Step-by-step explanation:

5 0

3 years ago

susan bought a calculator for $120. She had to pay a sales tax of 10% on the price. How much change would she receive from $140?

guapka [62]

Well for starters 10% of 120$ is 12$. 120+12=134...

This means 140 - 134=6

Answer: $6 of change

5 0

3 years ago