A student correctly evaluated an expression with P = -2 and a = 3 and got 3 as the result. Which of the following expressions could she have been evaluating
Answers
Answer:
B
Step-by-step explanation:
A student correctly evaluated an expression where p = -2 and q = 3 and acquired 3 as the result.
And we want to determine which expression could the student have been evaluating.
Thus, we simply need to check each expression by letting p = -2 and q = 3 and see which one equals 3.
Checking the first one:
[tex]\displaystyle \begin{aligned} 3p^2 +2pq - 6q +2 &= 3(-2)^2+2(-2)(3)-6(3) + 2\\ &= (12)+(-12) +(-18) + 2 \\ &=-16\end{aligned}[/tex]
The result is not 3. Hence, A is not correct.
The second expression:
[tex]\displaystyle \begin{aligned} p^3 + 2p^2q-p^2+2pq+q &= (-2)^3+2(-2)^2(3)-(-2)^2+2(-2)(3)+(3)\\ &= (-8)+(24)-(4)+(-12)+(3) \\ &= 3\stackrel{\checkmark}{=}3\end{aligned}[/tex]
Therefore, we can conclude that our answer is B.
We can check the other two regardless.
The third expression:
[tex]\begin{aligned} p^2+q-4q^2 &= (-2)^2 + (3) - 4(3)^2 \\ &= (4) + (3) -(36) \\ &= -29\end{aligned}[/tex]
And the fourth:
[tex]\displaystyle \begin{aligned} p^2+3q^2-q^2+p &= (-2)^2+3(3)^2-(3)^2+(-2) \\ &= (4) + (27) - (9) + (-2) \\ &= 20\end{aligned}[/tex]
Thus, neither the third expression nor the fourth is also correct.
In conclusion, our answer is B.
Related Questions
3. What is the solution to the equation x3 = = 216
A. 72
B. 27
C. 8
D.6
Answers
Answer:
I assume that the question is [tex]x^{3} = 216[/tex]
6 * 6 = 36 35*6 = 216
in other words 6*6*6 = 216
Step-by-step explanation:
3x=216
x=216/3
x=72
Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?
Answers
Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{BO}{OA}[/tex]
[tex]OA=BO(\sqrt{3})[/tex]
By applying tangent rule in the given right triangle BOC,
tan(60°) = [tex]\frac{OC}{BO}[/tex]
OC = BO(√3)
OA + OC = AC
[tex]BO(\sqrt{3})+BO(\sqrt{3}) =60[/tex]
2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = [tex]\frac{OD}{OC}[/tex]
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
See pic below! Need help solving
Answers
Answer:
383.54 m
Step-by-step explanation:
The length of the training track running around the field = circumference of the circle formed by the two semicircles + 2(length of the rectangle)
The two semicircles forms a fill circle with diameter (d) = width of rectangle = 61 m
Length of rectangle (L) = 96 m
π = 3.14
The length of the training track running around the field = πd + 2(L)
Substitute the values
The length of the training track running around the field = 3.14*61 + 2(96)
= 191.54 + 192
= 383.54 m
9. Find the zero of the polynomial in each of the following
i)f(x) = 3x- 5
Answers
Answer:
[tex]f(x) = 3x - 5[/tex]
For a zero, f(x) = 0:
[tex]{ \tt{0 = 3x - 5}} \\ { \tt{x = \frac{5}{3} }}[/tex]
It took francisco 60 minutes to walk from his house to his grandmother’s house. what is 60 written as a product of factors greater than 1? each factor can have only 1 and itself as factors.
Answers
Answer:
2 × 2 × 3 × 5
Step-by-step explanation:
Given that,
The number = 60
To find,
Factors of 60 greater than 1 = ?
Procedure:
As we know,
Any of various numbers multiplied together to form a whole.
To find the factors of a number, we will have to do its prime factorization.
So,
The prime factorization of 60:
1 * 2 * 2 * 3 * 5 = 60
Since the factors greater than 1 are asked, the factors would be;
2 * 2 * 3 * 5
Thus, 2 * 2 * 3 * 5 is the correct answer.
Please see picture for question.
Answers
Answer:
7
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7 ^ 1/5 ^ 5
7^ (1/5*5)
7^1
7
Suppose that d varies jointly with r and t, and d = 110 when r = 55 and t = 2. Find r when d = 40 and t = 3.
Answers
Answer:
r = 13.33
Step-by-step explanation:
d = k*r*t
Where,
k = constant of proportionality
d = 110 when r = 55 and t = 2
d = k*r*t
110 = k * 55 * 2
110 = 110k
k = 110/110
k = 1
Find r when d = 40 and t = 3
d = k*r*t
40 = 1 * r * 3
40 = 3r
r = 40/3
= 13.333333333333
Approximately,
r = 13.33
BRAINLEST ID CORRECT!!!!!!
Answers
Answer:
x=11
Step-by-step explanation:
The two angles add to a right angle which is 90 degrees
35+5x = 90
Subtract 35 from each side
35+5x-35 = 90-35
5x= 55
Divide by 5
5x/5 = 55/5
x = 11
help me out .... I will mark u as brilliant students
Answers
oe which question are you figure it out
Arc measurement with equations
Answers
Answer:
thats the question?
Step-by-step explanation:
Helpless! I need help.
Answers
Answer:
0
Step-by-step explanation:
r=5
So
=5⁴-5(5)³-4(5)²+5(5)+75
=5⁴-5(125)-4(25)+5(5)+75
=625-625-100+25+75
=0
Select point B, and drag it. As you drag B, circle AB changes. Verify that you can make circle AB coincide with AC. Return B to its approximate initial position. When circle AB coincides with circle AC, what do you notice about the regions CAD and EAF? In terms of similarity, what does your observation imply about the relationships among the lengths of the radii of AB and AC and the lengths of arc EF and arc CD? Write the relationship in the form of a proportion, and explain how it follows from your observation.
Answers
Answer:
When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.
The proportional relationship may be stated in different forms, but should be equivalent to this equation:
radius of Ab/ radius of Ac= length of arc EF/ length of arc CD
Explanations will vary, but should be based on the similarity of EAF and CAD. The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.
Step-by-step explanation:
This is the exact answer so make sure you change it up a little.
Answer:
When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.
The proportional relationship may be stated in different forms, but should be equivalent to this equation:
the radius of AB /radius of AC= length of arc EF/length of arc CD
The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.
Step-by-step explanation:
What is the length of line segment SA
Answers
Answer:
slalalallalalalalalalalalallapapapqpqpq
I need help to find n =
Answers
Answer:
n = √108
Step-by-step explanation:
Use similar triangles or the right triangle altitude theorem.
18/n = n/6
n^2 = 18 * 6
n^2 = 108
n = √108
Deandra is doing her math homework. She completed the first 6 problems in 2 hours and the last 12 problems in 3 hours.
Which best describes Deandra’s rate for completing her homework?
Deandra completed the first 6 problems at a rate of 6 problems per hour and the last 12 at a rate of 2 problems per hour.
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Deandra completed the first 6 problems at a rate of 2 problems per hour and the last 12 at a rate of 6 problems per hour.
Deandra completed the first 6 problems at a rate of 4 problems per hour and the last 12 at a rate of 3 problems per hour.
Answers
Answer:
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Step-by-step explanation:
6 problems ÷ 2 hours = 3 problems per hour
12 problems ÷ 3 hours = 4 problems per hour
Answer B is the answer
v2 = u? + 2as
u = 12
a = -3
S =
= 18
(a) Work out a value of v.
Answers
Answer:
6√7 m/s
Step-by-step explanation:
Given,
u = 12
a = - 3
s = 18
v^2 = u^2 - 2as
= 12^2 - 2 ( - 3 ) ( 18 )
= 144 + 108
v^2 = 252
v = √252
v = 6√7 m/s
Step-by-step explanation:
hope it helps you...:)....
prove it if you know
(please no spam answers)
Answers
Answer:
....ans
hope it helps you
hope this help you
have a great day
Which inequality is represented by this graph?
Answers
Answer:
x> 0
Step-by-step explanation:
There is an open circle at 0 so this means it is not equal to
The line goes to the right so x is greater than
x> 0
I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!
Answers
center: 11
which exponential expression is equivalent to
Answers
Answer:
B
Step-by-step explanation:
(y^(4))^(1/5)=y^(4/5)
square root of 800 to the nearest thousandth
Answers
Answer:
28.284
Step-by-step explanation:
Given that
∠4
∠
4
has a measurement of 103°, what is the measurement of
∠2
Answers
Answer:
103 = <2
Step-by-step explanation:
Angle 4 and angle 2 are vertical angles and vertical angles are equal
<4 = <2
103 = <2
Answer:
103
Step-by-step explanation:
Angle 4 and Angle 2 are congruent so they have the same value.
Find the surface area of the figure.
12 in.
SA = [ ? ]in.?
5 in.
16 in.
Answers
Answer:
SA = 664 in.²
Step-by-step explanation:
Surface area of the rectangular prism = 2(LW + LH + WH)
Where,
Length (L) = 16 in.
Width (W) = 5 in.
Height (H) = 12 in.
Substitute the values
Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)
= 2(80 + 192 + 60)
= 2(332)
= 664 in.²
A traveling salesman figures it costs 28
cents for every mile he drives his car. How much does it cost him (in dollars) a week to drive his car if he travels 315 miles a week?
Answers
Cual es la raiz cudrada de 2
Answers
Answer:
1.4142135
Step-by-step explanation:
helpppppppp will mark brainlest
Answers
Answer:
-8
Step-by-step explanation:
what do you think, when you look at the examples given in the problem definition ?
don't you see the pattern, that f(x) = x+2 ?
f(1) = 1+2 = 3
f(2) = 2+2 = 4
f(3) = 3+2 = 5
so, if we follow this assumption, then
f(-10) = -10 + 2 = -8
Annabeth has $29.00 to spend at the sporting goods store.
She buys a T-shirt that costs $15.32. She spends all of her
money. She also wants to buy a soccer ball for $13.68, a
baseball cap for $8.39, a set of shin guards for $14.98, or a
water bottle for $5.93.
*Need asap* (might give brainiest if I can)
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
The soccer ball.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'c'...}}\\\\15.32 + c = 29.00\\-----------\\\rightarrow 15.32 - 15.32 = 29.00 - 15.32\\\\\rightarrow \boxed{13.68}[/tex]
⸻⸻⸻⸻
She would have $13.68 dollars left. Her second item should be the soccer ball.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
please solve this problem
if f(x) = 2x ^ 2 - x + 1 , g(x) = x ^ 2 + 3x - 3 and f(x) = g(x) , then find the possible value of x.
Answers
Step-by-step explanation:
Hey there!
Here;
f(x) = 2x²-x+1
g(X) = x²+3x-3
Since f(X) = g(X);
2x²-x+1 = x²+3x-3
2x²-x²-x-3x+1+3 = 0
x²-4x+4 = 0
(x-2)² = 0
Therefore, the value of X is 2.
Hope it helps!
Step-by-step explanation:
Explanation is in the attachment
Hope it helpful to you
CAN SOMEBODY HELP ME PLS GIVE THE CORRECT ANSWER IM FAILING BUT ITs PYTHAGOREAN THEOREM
Answers
Answer:
c=65
Step-by-step explanation:
Answer:
c=65
Step-by-step explanation:
c=a2+b2=63
632+162=65
(√0,04-√(-1,2)²+√121)×√81
Answers
Answer: 90
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} (\sqrt{0,04}-\sqrt{(-1,2)^2}+\sqrt{121 } ) \cdot \sqrt{81} = \\\\\\(0,2-1,2+11)\cdot 9=(11-1)\cdot 9=90[/tex]
