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Roman55 [17]
4 years ago
8

Malloy solved the equation −5x − 16 = 8; his work is shown below. Identify the error and where it was made. −5x − 16 = 8 Step 1:

−5x − 16 + 16 = 8 + 16 Step 2: −5x = 24 Step 3: -5x/5=24/5 Step 4: x =24/5 Select one: a. Step 1: He should have subtracted 16 from each side. b. Step 1: He should have divided both sides by −5. c. Step 3: He should have multiplied both sides by −5. d. Step 3: He should have divided both sides by −5.
Mathematics
2 answers:
xxTIMURxx [149]4 years ago
5 0
Answer is

<span>d. Step 3: He should have divided both sides by −5.</span>
Savatey [412]4 years ago
4 0
<span>−5x − 16 = 8                   Proof=Given
</span><span>−5x − 16 + 16 = 8 + 16   Proof=Addition Property of Equality
</span>−5x = 24                         Proof=Addition Property of Equality
<span>-5x/5=24/5                      This is where we find his fault. You have to divide by whatever the number that alters the variable is. In this case, that's -5. The answer is therefore D. Step 3: He should have divided both sides by 5.
</span>
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Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k
-Dominant- [34]

Answer:

k can either be

12

or

−

12

.

Step-by-step explanation:

Consider the equation

0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

(k+12)(k−12)=0

k=±12

6 0
3 years ago
Find the measure of
jok3333 [9.3K]

Answer:

119

Step-by-step explanation:

because if u see <EAC AND<BAD. are vertical so if u add 62°to 57° or adds up to 119

3 0
3 years ago
(1.5 X 10-2) (8.0 X 10-1)
d1i1m1o1n [39]
Answer: 4080

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7 0
4 years ago
A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect
Vladimir79 [104]

The probability that the first two electric toothbrushes sold are defective is 0.016.

The probability of an event, say E occurring is:

P(E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = the number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is n = 20.

The number of defective electric toothbrushes is x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

(\left {{20} \atop {2}} \right. )=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!} =\frac{20*19*18!}{2!*18!} = 190

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

(\left {{3} \atop {2}} \right. )=\frac{3!}{2!(3-2)!} =\frac{3!}{2!1!} =\frac{3*2!}{1!2!} =3

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

\frac{3}{190}\\ =0.01579\\=0.016

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

Learn more about probability here brainly.com/question/27474070

#SPJ4

4 0
2 years ago
50 POINTS !!<br><br> PLEASE HELP ILL GIVE BRAINLIEST !!
dybincka [34]

Answer:

3.9 miles

Step-by-step explanation:

Use phytagoras theorem

c²=a²+b²

4²=1²+b²

16=1+b²

b²=16-1

b²=15

b=

\sqrt{15}

b= 3.872

≈3.9miles

6 0
3 years ago
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