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salantis [7]
3 years ago
14

(-4)(-4) use an exponent to rewrite the expression

Mathematics
1 answer:
DiKsa [7]3 years ago
5 0
For this case we have the following expression:
<span> (-4)(-4) &#10;
 By properties of exponents we have:
 Same basis, the exponents are added.
 We have then:
 (-4)^{1+1}
 Then, rewriting the exponent we have:
 (-4)^{2}
 Therefore, an exponent to rewrite the expression is:
 2
 Answer:
 
(-4)^{2}
 an exponent to rewrite the expression is 2.</span>
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9.
siniylev [52]

Answer:

Slant height (s)= 12.1 cm

Step-by-step explanation:

Given: Base= 4.5 cm.

           Surface area of right square pyramid= 129.5 cm.

First, calculating slant height (s) of right square pyramid.

Surface area of square pyramid= (a^{2} +2\times a\times s)

a= side of square base.

s= slant height

∴ 129.5= (4.5^{2} + 2\times 4.5\times s)

⇒ 129.5= (20.25+2\times 4.5\times s)

⇒ 129.5= (20.25+9\times s)

Now, opening the parenthesis and subtracting both side by 20.25.

⇒ 109.25=9\times s

cross multiplying both side

∴ Slant height (s)= 12.1

5 0
3 years ago
Pls help meeee Idk how to do this
34kurt
Distribute the x3 to each number. The coefficient stays the same but add exponent (3) onto each x. Final answer is: x to the seventh power plus 8X to the sixth power plus 2X to the fifth power +18 X to the fourth power +9x the third power
8 0
3 years ago
Read 2 more answers
What’s 150 divided by 180 step by step?
liubo4ka [24]

150 can't go into 180 equally, so the answer is 1.2


8 0
2 years ago
SOMEONE PLEASE HELP ME!!!!!!!! A circle is drawn within a square as shown.
baherus [9]
10.54 cm^2. You just have to find area of the square then area of the circle. Subtract the area of the circle from the square to get the answer
3 0
2 years ago
PLEASEEE HELPPPP IM BEGGIN U
Anna71 [15]

Answer:

  a) positive real zeros: 2 or 0; negative real zeros: 2 or 0; complex zeros: 0, 2, or 4. (rule of signs)

  b) ∪-shaped, as for an even-degree polynomial with positive leading coefficient. See attached.

  c, d) See attached

Step-by-step explanation:

Descarte's rule of signs gives bounds on the number of positive and negative real roots. The numbers it gives may be reduced by multiples of 2, as complex roots will come in conjugate pairs. The total number of roots of all kinds will match the degree of the polynomial.

Synthetic division is essentially polynomial long division with some modifications:

  • the variables are omitted ("place value" is used instead)
  • the constant in the divisor is <em>negated</em> so its product with the partial quotient can be <em>added</em> to obtain the new dividend
  • the divisor binomial is assumed to have a leading coefficient of 1.

__

<h3>a) </h3>

The signs of the terms of the given polynomial are + - - - +. There are two sign changes, so 2 possible positive real roots.

When the signs of the odd-degree terms are changed, the signs become + + - + +. There are still two sign changes, so 2 possible negative real roots.

Either or both of these numbers can be reduced by 2 if the roots include a conjugate pair. That is, there may also be 0 possible positive real roots, and 0 possible negative real roots.

The number of non-real (complex) zeros may be any multiple of 2 up to the degree of the polynomial. The may be 0, 2, or 4 possible non-real zeros.

__

<h3>b)</h3>

The graph is the first attachment. It shows 4 real zeros: x = -4, -2, 1, 6.

Since the polynomial is of even degree (4) and has a positive leading coefficient (+1), we expect the general shape to be ∪-shaped. It is.

__

<h3>c)</h3>

The second attachment shows synthetic division using x = -4. (The binomial divisor is (x+4).) The remainder (lower right value in the tableau) is the value of y when x=-4. The third attachment shows synthetic division using the value x=3. (y is -210 when x=3.)

Maybe this is the table you want:

  \begin{array}{|c|c|c|}\cline{1-3}x&-4&3\\\cline{1-3}y&0&-210\\\cline{1-3}\end{array}

__

<h3>d)</h3>

The second attachment shows synthetic division by the factor (x+4).

_____

<em>Additional comment</em>

The synthetic division attachments show instructions for carrying out the synthetic division and interpreting the results. As we said above, "the entry on the left" is the opposite of the constant in the binomial divisor. It is the actual value of x you want to use to evaluate the function.

The equations shown are merely for the purpose of indicating the operations that are used. An actual synthetic division tableau is simply a 3-row table of numbers, with the bottom row being the quotient coefficients and remainder.

6 0
2 years ago
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