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
Alexandra's family took a road trip to the Grand Canyon. Alexandra slept for the last 48 miles of the trip. If the total length of the trip was 800 miles, what percentage of the total trip had they travelled when Alexandra fell asleep
Answer:
She fell asleep for 6% of the trip.
Step-by-step explanation:
You take 48 and divide it by 800. That gives you 0.06.
0.06 equals 6%.
Answer:
6%
Step-by-step explanation:
Divide 48 and 800 together.
48/800 = 0.06
48 is the miles she's sleeping and 800 is the total miles.
So, she was asleep only 6% of the trip.
Hope this helped.
if m<8= 23° find each measure.
straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )
m<8 = m< 6 = 23° [ Opposite angles]
m< 4 = m< 2 = 23°
m<8 + m< 5 = 180°
23° + m< 5 = 180°
m<5 = 180 - 23 = 157
m< 5 = m< 7 = 157° [ Opposite angles]
m< 1 = m< 3 = 157° [ Opposite angles]
straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )
So;m< 1 = 157m< 2 = 23m< 3 = 157m<4 = 23m< 5 = 157m< 6 = 23m< 7 = 157m< 8 = 23I hope I helped you^_^
Write the equation of the line that passes through the points
(3,-2) and (6, 1).
y=x-5
y = 5x + 1
y = -x + 5
Answer:
It is y = x - 5
Step-by-step explanation:
General equation of a line:
[tex]{ \bf{y = mx + c}}[/tex]
m is the gradient, and c is y-intercept.
For gradient:
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} [/tex]
substitute:
[tex]slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1[/tex]
m = 1
for y-intercept:
consider point (6, 1):
[tex]y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5[/tex]
therefore:
[tex]{ \sf{equation \: is \: \{y = x - 5 \}}}[/tex]
7. Is 5.787787778... a rational or irrational number?
Explain.
Answer:
Irrational
Step-by-step explanation:
Its irrational as it has no pattern of numbers after decimal point and the number are infinite
Answer:
irrational because it has a coma after one number
3 Factorise 5y - 6py
Step-by-step explanation:
5y-6py
y(5-6p)
Answer
hope it helps
Answer:
5y - 6py
y(5-6p)
is the answer
Please help,and i will give you the brainleist.please write in a notebook and send.
Answer:
my answer is Rs 57
remember it says remaining copies so u much find the 5% from the price of 900 copies
Find the output, y, when the input, s, is – 7.
y =
y
1
8+
6+
4+
2+
个
CC
-8
-6
-4
-2
2
4
6
8
-2-
M
-4-
-6+
-8
Answer:
school:
cleaned class rooms and background
cooking equipment are laboratory tested of being germs free and also bacteria free
community: clean environment
Step-by-step explanation:
X
6.
The table shows all the possible sums when rolling two number cubes numbered 1
What is the probability that rolling two cubes results in a sum of 8P
6
1
2
3
4
5
6
7
1
2
3
4
5
6
2 3 4 5
3 4 5 6
4 5 6 7
5 6 7 8
6 7 8 9
7 8 9 10
8 9. 10 11
7
8
9
10
11
12
Done
Answer:
Step-by-step explanation:
You can roll an 8 in the following ways
3 - 5
5 - 3
4 - 4
6 - 2
2 - 6
That's 5 ways that it can be done. There are a total of 36 ways to throw 2 dice.
The probability of getting an 8 is 5/36
Which numbers in set A = ( -7,-4, 2, 14, 21,34, 42) are elements of b and c, shown below? Set b= ( even numbers) set c: ( multiples of 7) enter answers from largest to smallest.
Answer:
(14, 42)
Step-by-step explanation:
(-4, 2, 14, 34, 42) are all elements of b, and (-7. 14, 21, 42) are all elements of c. (14, 42) are the only elements that are in both sets
How would I prove the congruency of these triangles?
Step-by-step explanation:
the radius cuts the segment into two equal parts because it is perpendicular to the chord
Answer:
Step-by-step explanation:
As O is the mid point of the circle
Similarly, B also becomes the mid point of the line AC.
So, line OB divides AB and BC equally.
Hence, lines AB = AC, but they are asking to prove congruency of triangles.
So, u have to join OA and OC.
Same way, line OB divides ∠OBA and ∠OBC.
So it is proved that AB = AC
Using the graph, find the equation of the line in slope-intercept form.
What is the slope-intercept form of the equation of the line?
y =
Answer:
y = 2x + 2
BRAINLIEST, PLEASE!
Step-by-step explanation:
(-2, -2) (-1, 0)
y = mx + b (m = slope, b = y-intercept)
m = rise/run = change in y / change in x
change in y: +2
change in x: + 1
change in y/change in x = 2/1 = 2
m = 2, y = 2x + b
We can plug -1 in for x, and 0 in for y.
0 = 2(-1) + b
0 = -2 + b
b = 2
y = 2x + 2
Answer:
y = 2x + 2
Step-by-step explanation:
HELPPP!!!!!!
How far is weather station A from the storm?
44.6 miles
19.7 miles
42.2 miles
31.2 miles
This value is approximate.
============================================================
Explanation:
Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.
Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.
Based on those two interior angles, angle C must be...
A+B+C = 180
107+42+C = 180
149+C = 180
C = 180-149
C = 31
----------------
To sum things up so far, we have these known properties of triangle ABC
angle A = 107 degreesside c = side AB = 24 milesangle B = 42 degreesangle C = 31 degreesLet's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).
b/sin(B) = c/sin(C)
b/sin(42) = 24/sin(31)
b = sin(42)*24/sin(31)
b = 31.1804803080182 which is approximate
b = 31.2 miles is the distance from the storm to station A
Make sure your calculator is in degree mode.
The weather station A is 31.2 miles from the storm
From the triangle shown:
m<B = 90° - 48°
m<B = 42°
m<A = 17° + 90°
m<A = 107°
m<A + m<B + m<C = 180° (Sum of angles in a triangle)
107° + 42° + m<C = 180°
m<C = 180° - 149°
m<C = 31°
The distance between the weather stations A and B = 24 miles
That is, AB = 24 miles
The storm is at point C
The length AC is found by using the rule of sines:
[tex]\frac{sinC}{AB}=\frac{sinB}{AC} \\\\\frac{sin31}{24}=\frac{sin42}{AC} \\\\\frac{0.515}{24} = \frac{0.669}{AC} \\\\0.02146=\frac{0.669}{AC}\\\\AC=\frac{0.669}{0.02146} \\\\AC=31.2 miles[/tex]
The weather station A is 31.2 miles from the storm
Learn more on sine rule here: https://brainly.com/question/4372174
Two-thirds a numberx plus 4 is 8.
Answer:
n = 6
Step-by-step explanation:
To solve this you can use an equation such as:
[tex]\frac{2}{3} n+4=8\\\\[/tex]
We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:
[tex]\frac{2}{3}n=4[/tex]
So now we divide both sides by 2/3.
This now equals:
[tex]n=6[/tex]
Can someone pls help me with problems 4 and 5 pls this is due in a bit and I’m in a rush I’ll give 100 points it’s all I have
Answer:
Step-by-step explanation:
Answer:
#4Let M is the midpoint of DE.
Since D is at 8 and DE = 5.
DM = ME = 5/2 = 2.5
Point M is at:
8 + 2.5 = 10.5 if E is to the right of D8 - 2.5 = 5.5 if E is to the left of D#5Given
XY = 7, YZ = 2x - 1, XZ = 30Since XZ = XY + YZ, set up an equation and solve for x:
7 + (2x - 1) = 302x + 6 = 302x = 24x = 12#6The distance from your house to friend's is LN.
We have:
M is midpoint of LN, so LM = MNLM = 3xMN = 2x + 2Set up an equation, solve for x:
3x = 2x + 23x - 2x = 2x = 2Find the distance LM:
LM = 3*2 = 6Find the distance LN:
LN = 2*LM = 2*6 = 12what is the opposite of 7 plus the opposite of 9
Answer:
-7.11111111111
Step-by-step explanation:
Ella invests 4000 dollars for 3 years a rate of 1.2% per year compound interest. Calculate the value of her investment at the end of the 3 years.
Answer:
Answer is $4145.6
Step-by-step explanation:
formular for compound interest:
[tex]{ \bf{A = P( \frac{r}{100} + 1) {}^{n} }}[/tex]
P is the principle, P = $4000
r is rate, r = 1.2%
n is period, n = 3 years
A is the accumulative amount.
substitute:
[tex]{ \sf{A = 4000( \frac{1.2}{100} + 1) {}^{3} }} \\ \\ { \sf{A = 4000 \times 1.0364}} \\ { \sf{A = 4145.6 \: dollars}}[/tex]
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]
1. Write each of these products as a quadratic
expression of the form x2+bx+c. That is, write
each product in standard form.
a. (x+3)(x + 5)
b. (x – 4)(x + 7)
C. (x-6)(x - 2)
Step-by-step explanation:
maybe I am wrong sorry for that but try to understand it
have a great day
María va de compras a una tienda departamental y adquiere los siguientes productos: 2 pantalones, 4 blusas, 3 pares de calcetas y 2 pares de tenis. El precio de los artículos por unidad es: pantalones $ 600.00, blusas: $350.00, calcetas: $120.00 y tenis: $ 950.00. Si María contaba con $5000.00, calcula cuánto dinero le sobró después de las compras realizadas.
Answer:
Pantalones = $600.00 × 2
$ 1,200.00
Blusas = $350.00 × 4
$ 1,400.00
Calcetas = $120.00 × 3
$ 360.00
Par de tenis = $950.00 × 2
$ 1,900.00
Total a pagar = $4,850.00
$5,000.00
- $4,860.00
Sobrante = $140.00
Can someone please help m with this
Answer:
Step-by-step explanation:
I take it that what you are asking is which one of the three choices gives f(5) = 2.
It is not the table. When you try adding 5 in the x column, you get a much larger result than 2 for y.
And it is not the scattered points of the graph. x = 5 gives 5 on the y axis, not 2.
It is the first choice on the left.
f(5) = x - 3
f(5) = 5 - 3
f(5) = 2
please help me will mark braniliest
Answer:
The correct answer is option A. Line DB
Step-by-step explanation:
When you write that M is a line, the sign for this would be a line with arrows on both of its end like this : <------------>
Now, due to the fact that lines look like this <------------>, we can cross out option C and D as they both aren't lines but points. Points go like this: ---->
Option B says, "line EB", this can't be true because E corresponds with the letter F, it can't become a line with B hence why the only option true here is choice A.
Write as an expression. The quantity 10 less than x, divided by 4
Answer:
[tex]\frac{x-10}{4}[/tex]
Step-by-step explanation:
When it says less then that means 10 is less than x. You can write divided by 4 either by putting it as a fraction or by using the division sign as "x-10 / 4."
The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
If the quantity 10 is less than x, then the expression will be
⇒ 10 - x
Then the quantity 10 less than x and divided by 4, then the expression will be
⇒ (10 - x) / 4
The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Help me bro like this is difficult
Use Distributive property to write the expression without parentheses
Answer:
28a + 17
Step-by-step explanation:
7(4a + 3) - 4
28a + 21 - 4
28a + 17
A school has a ratio of girls to boys as follows:
6:5
What fraction of the school is girls
Answer:
6/11
Step-by-step explanation:
The ratio says that, for every 6 girls, there are 5 boys.
For every 6 girls, there are 6 + 5 = 11 students.
So the fraction of girls is
6/11
What is the reference angle for 283°?
2(k + 1) = -4(k - 2)
Answer:
1
Step-by-step explanation:
2(k + 1) = -4(k - 2)
2k + 2 = --4k+8
2k+4k=8-2
6k=6
k=6/6
k=1
What is the equation of the line graphed below?
5
(2, 1)
O A. y=-2x
B. y -
C. y = 2x
o D. y = 1/2 x
Answer:
C. Y=2x
Step-by-step explanation:
I hope this help you
Is 15.7 an integer ,whole number,natural number
A man is37years old and his child is eight.how many years ago was the product of their ages 96 as in quadratic equation step by step
Answer:
5 years
Step-by-step explanation:
Let x be the unknown numer of years ago when the product of the man and his child's age was 96.
》 x years ago, the man's age = 37 - x
the child's age = 8 - x
(37 - x)(8 - x) = 96
296 - 37x - 8x + x² = 96
x² - 45x - 296 - 96 = 0
x² - 45x - 200 = 0
x² - 5x - 40x - 200 = 0
x(x - 5) -40(x - 5) = 0
(x - 5)(x - 40) = 0
x = 5 years ago or x = 40 years ago
but x = 40 > son's present age.
Thus, x = 5.
Therefore, 5 years ago the product of the ages of the man and his child was 96.
