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
astraxan [27]
3 years ago
6

Which expression completes the statement to form a true equation? 28–3+2= A. 3³ B. 5(4 + 2) C. 3² + 19 D. 44–24

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0
Hi!

So first, let's find what the original equation equals.

28 - 3 + 2 = ?
25 + 2 = ?
27

Now let's go through each answer choice, and find one that equals 27. 

3^3 = 27
5(4 + 2) = 30
3^2 + 19 = 28
44-24 = 20

The answer is A. 3³

Hope this helps! :)
You might be interested in
The minimum value of f(x) = x3 – 3x2 – 9x + 2 on the interval [–4, 0] is
garri49 [273]

Answer:

-74

Step-by-step explanation:

Graph the function. See attached picture. Between the interval where -4 > x < 0, the graph rises up to a peak and descends back down when x = 0. This means the minimum value will be where x = -4.

Substitute x = -4 into the equation.

f(-4) = (-4)^3 -3(-4)^2 - 9(-4) + 2

f(-4) = -64 -3(16) +36 + 2

f(-4) = -64 - 48 + 36 + 2

f(-4) = -74

5 0
3 years ago
What is the sum of the given polynomials in standard form ? (X^2-3x)+(-2x^2+5x-3)
Greeley [361]
(x^2-3x)+(-2x^2+5x-3)=x^2-3x-2x^2+5x-3\\\\=(x^2-2x^2)+(-3x+5x)-3=-x^2+2x-3
3 0
3 years ago
The focus of a parabola is (−5,−1) and the directrix is y=−3. What is an equation of the parabola? (x+5)2=8(y+5)
Anna35 [415]
<span><span>Graph <span>x2<span> = 4</span>y</span><span> and state the vertex, focus, axis of symmetry, and directrix.</span></span><span>This is the same graphing that I've done in the past: </span><span>y = (1/4)x2</span><span>. So I'll do the graph as usual:</span></span><span> </span><span>The vertex is obviously at the origin, but I need to "show" this "algebraically" by rearranging the given equation into the conics form:<span>x2 = 4y</span> Copyright © Elizabeth Stapel 2010-2011 All Rights Reserved<span>
(x – 0)2 = 4(y – 0)</span><span>This rearrangement "shows" that the vertex is at </span><span>(h, k) = (0, 0)</span><span>. The axis of symmetry is the vertical line right through the vertex: </span><span>x = 0</span>. (I can always check my graph, if I'm not sure about this.) The focus is "p" units from the vertex. Since the focus is "inside" the parabola and since this is a "right side up" graph, the focus has to be above the vertex.<span>From the conics form of the equation, shown above, I look at what's multiplied on the unsquaredpart and see that </span><span>4p = 4</span><span>, so </span><span>p = 1</span><span>. Then the focus is one unit above the vertex, at </span>(0, 1)<span>, and the directrix is the horizontal line </span><span>y = –1</span>, one unit below the vertex.<span>vertex: </span>(0, 0)<span>; focus: </span>(0, 1)<span>; axis of symmetry: </span><span>x<span> = 0</span></span><span>; directrix: </span><span>y<span> = –1</span></span></span><span><span><span>Graph </span><span>y2<span> + 10</span>y<span> + </span>x<span> + 25 = 0</span></span>, and state the vertex, focus, axis of symmetry, and directrix.</span><span>Since the </span>y<span> is squared in this equation, rather than the </span>x<span>, then this is a "sideways" parabola. To graph, I'll do my T-chart backwards, picking </span>y<span>-values first and then finding the corresponding </span>x<span>-values for </span><span>x = –y2 – 10y – 25</span>:<span>To convert the equation into conics form and find the exact vertex, etc, I'll need to convert the equation to perfect-square form. In this case, the squared side is already a perfect square, so:</span><span>y2 + 10y + 25 = –x</span> <span>
(y + 5)2 = –1(x – 0)</span><span>This tells me that </span><span>4p = –1</span><span>, so </span><span>p = –1/4</span><span>. Since the parabola opens to the left, then the focus is </span>1/4<span> units to the left of the vertex. I can see from the equation above that the vertex is at </span><span>(h, k) = (0, –5)</span><span>, so then the focus must be at </span>(–1/4, –5)<span>. The parabola is sideways, so the axis of symmetry is, too. The directrix, being perpendicular to the axis of symmetry, is then vertical, and is </span>1/4<span> units to the right of the vertex. Putting this all together, I get:</span><span>vertex: </span>(0, –5)<span>; focus: </span>(–1/4, –5)<span>; axis of symmetry: </span><span>y<span> = –5</span></span><span>; directrix: </span><span>x<span> = 1/4</span></span></span><span><span>Find the vertex and focus of </span><span>y2<span> + 6</span>y<span> + 12</span>x<span> – 15 = 0</span></span></span><span><span>The </span>y<span> part is squared, so this is a sideways parabola. I'll get the </span>y stuff by itself on one side of the equation, and then complete the square to convert this to conics form.<span>y2 + 6y – 15 = –12x</span> <span><span>
y</span>2 + 6y + 9 – 15 = –12x + 9</span> <span>
(y + 3)2 – 15 = –12x + 9</span> <span>
(y + 3)2 = –12x + 9 + 15 = –12x + 24</span> <span>
(y + 3)2 = –12(x – 2)</span> <span>
(y – (–3))2 = 4(–3)(x – 2)</span></span><span><span>Then the vertex is at </span><span>(h, k) = (2, –3)</span><span> and the value of </span>p<span> is </span>–3<span>. Since </span>y<span> is squared and </span>p<span> is negative, then this is a sideways parabola that opens to the left. This puts the focus </span>3 units to the left of the vertex.<span>vertex: </span>(2, –3)<span>; focus: </span><span>(–1, –3)</span><span>
</span></span>
8 0
3 years ago
I solved this answer already and I got 43, but I don’t know if it’s correct so
faltersainse [42]

Answer:

= 43

Step-by-step explanation:

{7 × 2^{3} - 7} -2 ×3

Solve the brackets first

{7 × 8 - 7}  -2 ×3

{56 - 7}  -2 ×3

49  -2 ×3

49 -6

= 43

you are right

8 0
2 years ago
James is in charge of the decorations. he hs a total budget of $50 to spend for all of the decorations. james spends $20 on one
Musya8 [376]
He can buy 15 balloons

His budget (amount of money he can spend) is $50. If he spent $20 on the banner, that means he has $30 left. He wants to spend the rest on balloons $2 each. Simply- 30 divided by 2 which is 15
8 0
2 years ago
Other questions:
  • Use the intercept form to find the equation of the line with the given intercepts. The intercept form of the equation of a line
    11·1 answer
  • Can anyone PLEASE HELP ME!!!????
    8·1 answer
  • The vertices of a triangle are A(0,3) B(-2,-4) and C(1,5) find the new vertices
    6·1 answer
  • Please help. I don't understand it. HELP ASAP....
    8·1 answer
  • Sophie is buying 3 outfits (shirt and shorts) to wear to volleyball practice. The shirts are $10.00 each, and the total cost is
    12·1 answer
  • Help please I need this as soon as posible ​
    12·2 answers
  • 6(x + 5) = 3(x - 14) ?
    8·2 answers
  • <img src="https://tex.z-dn.net/?f=x%20%7B%3F%7D%5E%7B2%7D%20%20%2B%2013x%20-%2048%20%3D" id="TexFormula1" title="x {?}^{2} + 13
    7·1 answer
  • 1² x 1/4m² x (-6)ml find the product<br>​
    13·2 answers
  • Which number produces a rational answer when added to 0.85
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!