Answer:
3.16
Step-by-step explanation:
2x2 + 2x - 1 when x = -3
Answer: 11
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
x = -3
Given expression
2x² + 2x - 1
Substitute values into the expression
=2(-3)² + 2(-3) - 1
Simplify exponents
=2(9) + 2(-3) - 1
Simplify by multiplication
=18 - 6 - 1
Simplify by subtraction
=12 - 1
=[tex]\boxed{11}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
find the distance between each pair of points
-6 -5 2 0
Hi, I'm happy to help!
To solve this, we need to find the distance in x coordinate values, y coordinate values, then use the Pythagorean Theorem to solve for the distance.
First, let's find the distance in x coordinate values. Our first x coordinate value is -6, and our second is 2. From here, we subtract.
-6-2=-8
Since we have a negative number, we use absolute value, which says how far the number is from 0.
I-8I
8
The distance in x coordinate values is 8.
Next, we find the distance in y coordinate values. our first y coordinate is -5, and our second is 0, now, let's subtract.
-5-0=-5
I-5I
5
The distance in y coordinate values is 5.
From here, we use the Pythagorean Theorem, which states that a²+b²=c².
This has to do with right triangles. Think about drawing a line down to the y coordinate of the other point, then to the x coordinate. Now, drawing a line straight from point to point. Now, you have a right triangle, and we are trying to find c, the direct distance of the line going from point to point. Let's say that our x distance is a, and our y distance is b.
Let's plug in the values:
8²+5²=c²
64+25=c²
89=c²
To find c, we need to find the square root of 89.
√89=c
9.433981132...=c
Since this number goes on forever, we need to round.
Rounding to the nearest thousandth:
9.434
Nearest hundredth:
9.43
Nearest tenth:
9.4
Depending on what the question asks, use one of these values.
To conclude, The distance between the two points is about 9.43 units.
I hope this was helpful, keep learning! :)
I’m not sure how to do this. Please help.
Answer:
|x| = 8
Answer: x = 8, -8
Step-by-step explanation:
| | this symbol represents absolute value. When you remove absolute value it creates a ± sign on the opposite side.
x = ± 8
This means x = 8 and x = -8
The solutions are 8 and -8.
Geometry problem help!
Please refer to the image below...
Answer:
A. 1/3
B. √10
C. -1, 1
D. √8, 6
E. congruent and opposite pairs parallel
F. perpendicular, not congruent
G. rhombus, explanation below
Step-by-step explanation:
Hey there! I'm happy to help!
-----------------------------------------------------------------
A.
Slope is the rise over the run. Let's look at F to G.
We are going from -1 to 2 on our x-axis (run), so our run is 3 units.
Our rise is 1 unit as we go from 2 to 3 on the y-axis.
[tex]slope=\frac{rise}{run} =\frac{1}{3}[/tex]
This slope is the same for all of the sides.
-----------------------------------------------------------------
B.
We will use the distance formula (which is basically just the Pythagorean Theorem) to calculate the length of each side. Let's go between F and G again, but this distance is the same for all the sides.
[tex]\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+1)^2+(3-2)^2 } \\\\\sqrt{(3)^2+(1)^2 }\\\\\sqrt{9+1 }\\\\\sqrt{10}[/tex]
-----------------------------------------------------------------
C.
The diagonals are the lines that connect the non-adjacent vertices.
Our two diagonals are FH and GE.
-----------------------------
FH
We go from x-value -1 to 1 from F to H, so our run is 2.
We go from y-value 2 to 0. so our rise is -2.
[tex]slope=\frac{rise}{run} =-\frac{2}{2} =-1[/tex]
-----------------------------
GE
We go from x-value -2 to 2 from E to G, so our run is 4.
We go from y-value -1 to 3. so our rise is 4.
[tex]slope=\frac{rise}{run} =\frac{4}{4} =1[/tex]
-----------------------------------------------------------------
D.
Let's use the distance formula on each of our diagonals.
-----------------------------
FH
[tex]\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(1,0)\\\\\\\sqrt{(1+1)^2+(0-2)^2 } \\\\\sqrt{(2)^2+(-2)^2 }\\\\\sqrt{4+4 }\\\\\sqrt{8}[/tex]
-----------------------------
GE
[tex]\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-2,-1)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+2)^2+(3+1)^2 } \\\\\sqrt{(4)^2+(4)^2 }\\\\\sqrt{16+16 }\\\\\sqrt{36}\\\\6[/tex]
-----------------------------------------------------------------
E.
They are congruent as they all have the same length (√10) and the opposite sides are parallel as they have the same slope (1/3)
-----------------------------------------------------------------
F.
They are perpendicular diagonals as their slopes are negative reciprocals (1 and -1), and they are not congruent as they have different lengths (√8 and 6).
-----------------------------------------------------------------
G.
Parallelogram- quadrilateral with opposite pairs of parallel sides.
Rhombus- a parallelogram with four equal sides
Square- a rhombus with four right angles
We can see that this is a parallelogram as we saw that the opposite sides are parallel due to having the same slope, and the perpendicular diagonals show that as well. This is also a rhombus because if we use that distance formula on all the sides, it will be the same. It is not a square though because it does not have four right angles, so this is a rhombus.
-----------------------------------------------------------------
Have a wonderful day and keep on learning!
8
The second term of an arithmetic sequence is 7 The sum of the tired 4 temme of the arithmetic sequence 12 Find the
first term and the common difference
Answer: 15, -8
Step-by-step explanation:
[tex]u_2=7\\u_2=u_1+r\\u_3=u_1+2r\\u_4=u_1+3r\\\\u_1+u_2+u_3+u_4=4u_1+6r=12\\u_1+r=7\\\\[/tex]
[tex]\left \{ \begin {array} {ccc|c|c}u_1+r&=&7&-4&-6\\4u_1+6r&=&12&1&1\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}2r&=&-16\\-2u_1&=&-30\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}r&=&-8\\u_1&=&15\\\end {array} \right.\\\\\\Proof:\\u_1=15\\u_2=7\\u_3=-1\\u_4=-9\\sum=12\\[/tex]
What is the recursive formula, if the sequence is 4, 7, 10, 13, ...?
O A(n - 4) + 3
O 4 + 3(n-1)
O A(n-1) + 3
Answer:
Step-by-step explanation:
In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?
A. -1
B. 7
C. 10
D. 14
E. 20
Hide Answer
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.
_________________
Best Regards,
E.
MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730
Answer:
4 + 3(n-1)
Step-by-step explanation:
Sequences start from n=1,2,3....
In this case
4 + 3(1-1)= 4
4 + 3(2-1) =7
And continue the pattern
Translate the sentence into an inequality. The quotient of b and 2 is less than 10
Answer:
b/2 < 10 or b÷2 < 10
Step-by-step explanation:
Does y=2.5 satisfy 2y-1=4
Answer:
yes
Step-by-step explanation:
substitute: 2(2.5)-1=4
5-1=4 is correct
You have $200 in a savings account and $100 in a checking
account. Each week, you add $50 to your savings account and $30 to your
checking account.
a. Write algebraic expressions that represent the amount of money in each
bank account after w weeks.
b. Write an expression in simplest form that represents the total amount of
money in both accounts after w weeks.
c. How much money do you have in both accounts after 5 weeks?
Answer:
a. Savings account: 200 + 50w Checking account: 100 + 30w
b. 300 + 80w
c. 700
Step-by-step explanation:
b. 200 + 50w + 30w + 100 Combine like terms. 300 + 80w
c. 300 + 80w. w=5. 300 + (80*5) = 300 + 400 = 700
Pls help! I am stuck.
Answer:
Bot 2
Step-by-step explanation:
Lets find both robots rate per second.
Bot 1:
16 / 2 = 8 clicks per second
Bot 2:
30 / 3 = 10 clicks per second
Now multiply by 10 to see who clicks the most.
Bot 1:
8 * 10 = 80 clicks in 10 seconds
Bot 2:
10 * 10 = 100 clicks in 10 seconds.
With this information, its clear that bot 2 clicks the most in the least amount of time.
Best of Luck!
how far is the point (8,6) from the origin
Determine the amplitude of the function y=2 cos x from the graph shown below:
A. 1
B. 2
C. 3
D. 4
Answer:
B
Step-by-step explanation:
[tex] \frac{2 - ( - 2)}{2} = 2[/tex]
maximum distance minus the minimum distance then divide everything by 2
:)
<2 and <3 are __ angles
A. complementary
B. Vertical
C. Right
D. Supplementary
<2 and <4 are __ angles
A. complementary
B. Vertical
C. Right
D. Supplementary
Answer:
first D and second B.
Step-by-step explanation:
first D and second B.
Answer:
Use the diagram.
1.
angle1 and angle2 are adjacent angles.
Correct answer A. true
Incorrect answer B. false
2.
angle3 and angle4 are complementary.
Incorrect answer A. true
Correct answer B. false
3.
angle2 and angle3 are ______ angles.
Incorrect answer A. complementary
Incorrect answer B. vertical
Incorrect answer C. right
Correct answer D. supplementary
4.
angle2 and angle4 are ____ angles.
Incorrect answer A. complementary
Correct answer B. vertical
Incorrect answer C. right
Incorrect answer D. supplementary
5.
Find mangleABC if the line modifying above upper B upper D with two-way arrow bisects angleABC and given mangleABD = 5x and mangleDBC = 3x + 10.
Incorrect answer A. 5°
Incorrect answer B. 25°
Incorrect answer C. 30°
Correct answer D. 50°
Step-by-step explanation:
100% correct my friends
good luck out there
; )
HELP DUE TOMORROW!!?
Fill in the table.
You deposit $10 in a savings account at the end of each week
Answer:
Week 1: 0 + 10 = 10
Week 2: 10 + 10 = 20
Week 3: 20 + 10 = 30
Week 4: 30 + 10 = 40
Step-by-step explanation:
Answer:
1 week- $10
2 weeks- $20
3 weeks- $30
4 weeks- $40
hope this helped!
all positive integers $t$ such that $1.2t \leq 9.6$?
Find the reciprocal of 2/5.
Use the / as the fraction bar.
Answer:
5/2
Step-by-step explanation:
Answer:
the reciprocal is 5/2 hope this helps
can someone help I need help lol
(1/2)^x=2^-x could anyone tell me why
Step-by-step explanation:
all explainations are in picture.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Pls answer this It will help me understand this question
r:-
[tex]\\ \rm\hookrightarrow r+60+50=180[/tex](Supplementary)
[tex]\\ \rm\hookrightarrow r+110=180[/tex]
[tex]\\ \rm\hookrightarrow r=180-110[/tex]
[tex]\\ \rm\hookrightarrow r=70[/tex]
p:-[tex]\\ \rm\hookrightarrow p=50(Opposite\: angles)[/tex]
q:-
[tex]\\ \rm\hookrightarrow q=70+60(Opposite \:angles)[/tex]
[tex]\\ \rm\hookrightarrow q=130[/tex]
Answer:
[tex]{ \sf{60 \degree + r + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{r + 110\degree = 180\degree}} \\ { \underline{ \sf{r = 70\degree}}}[/tex]
[tex]{ \sf{q + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{q = 180\degree - 50\degree}} \\ { \underline{ \sf{q = 130\degree}}}[/tex]
[tex]{ \sf{p + q = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{p + 130\degree = 180\degree}} \\ { \sf{ \underline{p = 50\degree}}}[/tex]
or:
[tex]{ \underline{ \sf{p = 50\degree \: \{alternate \: angles \}}}}[/tex]
f(x)=-x^2+3 find f(-2)
Answer:
f(-2) = - 1
Step-by-step explanation:
you could begin by understanding that f(x) is an alternate and informative version of y = -x^ + 3
The difference (critical) is that f(x) tells you how to substitute for x on the right.
You need to pay attention to doing something with - 2
f(-2) = - (-2)^2 + 3
Notice what you did. Wherever there is an x on the right, you put in a -2.
f(-2) = - (4) + 3
f(-2) = - 1
Need help ASAP will give more points
Answer:
30%
Step-by-step explanation:
14+ 18+ 28 = 60
18/60 × 100 = 30%
Answer:
[tex] \frac{18}{60} = \frac{3}{10} = 30\%[/tex]
Step-by-step explanation:
Total token sample = 14 + 18 + 28 = 60
Frequency of blue:
[tex] = \frac{18}{60} \: [/tex]
[tex] = \frac{18}{60} \times 100\%[/tex]
[tex] = 30\%[/tex]
The total length of a beach is 18.2 kilometers. If lifeguards are stationed every 0.07 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?
There would be 260 lifegurads
The easy way is to divide 18.2 by 0.07 to get your answer
If my answer is wrong pls let me know i try my best to edit and make it right
On 1-38 I don’t understand B and C. Please help! And be as specific as possible
Answer:
b
Step-by-step explanation:
the middle number to find
when 7 is subtracted from two third of the square of a number it becomes 17 find the number
Answer: 6 or -6
hello,
Step-by-step explanation:
Let say n the number
[tex]\dfrac{2}{3} *n^2-7=17\\\Longrightarrow\ \dfrac{2}{3} *n^2=24\\\Longrightarrow\ n^2=\dfrac{3*24}{2}\\\Longrightarrow\ n^2=36\\\Longrightarrow\ (n-6)(n+6)=0\\\\n=6\ or\ n=-6\\[/tex]
can you help me please?
Answer:
[tex] - 16 {x}^{2} + 5 {x}^{2} + 6x - x + 4 + 2 \\ = - 11 {x}^{2} + 5x + 6 \\ thnk \: you[/tex]
Answer:
-11x^2 + 5x +6
Step-by-step explanation:
Put all the same ones together, apple with apple, orange with orange.
But in this case they alredy group them together for u, so just subtract and plus as needed
Hurry I'm timed !!!pleas
Answer:
A. whole numbers, integers , rational numbers, natural numbers, real numbers
solve the variable for 27=x-5
Answer:
x=32
Step-by-step explanation:
27=x-5
+5 +5
32=x
Help me please now wrong answers please (i will report)
Answer:
B. II
Step-by-step explanation:
Take a look at the figure below:
True or False- To find the area of a square you add the length of all 4 sides
Answer:
False
Step-by-step explanation:
To find the area of the square, you multiply length by length, adding the length of all 4 sides would be the perimeter
Answer:
true
hope it is help fullMark me a brainlistMultiply. Write your answer as a decimal. −0.25(−1) = need ASAP
Answer:
= 0.25
Step-by-step explanation:
[tex] - 0.25( - 1) \\ = 0.25[/tex]
Answer:
0.25
Step-by-step explanation: