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
Andrej [43]
3 years ago
13

Graph y = −x^2 − 1. Identify the vertex of the graph. Tell whether it is a minimum or maximum.

Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

Step-by-step explanation:

since this is an upside down parabola shifted down 1 unit, the vertex must be at the point (0,-1).  It must be a <em>MAX</em> because the parabola is upside down

You might be interested in
-5x - 35= -15<br> -5x = 25<br> X =
Zigmanuir [339]
X= -5 because you divide -5x by -5 to get x alone so you have to 25/-5 which is -5
3 0
3 years ago
Please help fast!!!!!!!
garri49 [273]

Answer:

l am sorry l do not get the question

8 0
3 years ago
What is the factored form of the expression?<br><br> d^2 = 36d + 324
Veseljchak [2.6K]

Answer:

(x-43.45)(x+7.45)=0

Step-by-step explanation:

We have the quadratic equation d^{2}=36d+324  i.e. d^{2}-36d-324=0

As, the roots of the quadratic equation ax^{2}+bx+c=0 are given by x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}.

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}, we get,

x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}

i.e. x=\frac{36\pm \sqrt{1296+1296}}{2}

i.e. x=\frac{36\pm \sqrt{2592}}{2}

i.e. x=\frac{36\pm 50.9}{2}

i.e. x=\frac{36+50.9}{2}  and x=\frac{36-50.9}{2}

i.e. x=\frac{86.9}{2}  and x=\frac{-14.9}{2}

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be (x-43.45)(x+7.45)=0

3 0
3 years ago
Find the missing side lengths. Leave your answers as radicals in simplest form
tino4ka555 [31]

We have the triangle 30° - 60° - 90°.

The lenght of the sides are in proportion: 1:2:\sqrt3\to a:2a:a\sqrt3

a=y\\2a=x\\a\sqrt3=5\\\\a\sqrt3=5\qquad\text{multiply both sides by}\ \sqrt3\\\\3a=5\sqrt3\qquad\text{divide both sides by 3}\\\\a=\dfrac{5\sqrt3}{3}\\\\2a=2\cdot\dfrac{5\sqrt3}{3}=\dfrac{10\sqrt3}{3}\\\\Answer:\ x=\dfrac{10\sqrt3}{3},\ y=\dfrac{5\sqrt3}{3}

6 0
3 years ago
Which of the following are solutions to the equation below 3x^2+27x+54=0
VikaD [51]

Answer:x=6

Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .

-18 + -1 = -19

-9 + -2 = -11

-6 + -3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3

x2 - 6x - 3x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-6)

Add up the last 2 terms, pulling out common factors :

3 • (x-6)

Step-5 : Add up the four terms of step 4 :

(x-3) • (x-6)

Which is the desired factorization

7 0
3 years ago
Read 2 more answers
Other questions:
  • Amy and three friends launch a new website. Each of the four friends e-mails the web address to three new friends. These new fri
    10·1 answer
  • 375 = 3 x 5 x 5 x 5 =
    15·1 answer
  • What is 1/8 of the sum of 23 and 17
    8·1 answer
  • How many triangles can be constructed using the following three side lengths: 4.8 cm, 2.1 cm, and 2.6 cm?
    11·1 answer
  • How much more expensive is it, per pound, to buy ground beef at Store B than at Store A?
    14·1 answer
  • If 3/4 of a certain number is equal to 9 find the number <br>​
    6·2 answers
  • The total cost for four pens and seven mechanical pencils is $13.25. The cost for each mechanical pencil is 75 cents. Write and
    8·1 answer
  • 15.268 divided by 10,000 I WILL RATE YOU 5 STARS AND LIKE
    13·1 answer
  • What number could replace the o so that the given system of equations has one solution? Check all that apply. y = 4x-3
    8·1 answer
  • 1
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!