Answer:
9
Step-by-step explanation:
a^2 +b
Let a = -2 and b = 5
(-2)^2 +5
Exponents first
4 +5
Then add
9
Answer:
9
Step-by-step explanation:
Here, we have to observe that a^2 = a×a =-2 × -2 = 4
hence, a^2 + b = 4 + 5 = 9.
Please help me this is due in 5 mins!!!
Answer: Perimeter: 28 units
Area: 32 square units
Step-by-step explanation:
Answer:
Perimeter = 24
Area =32
Step-by-step explanation:
To find the perimeter, add up the number of outside edges
4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units
To find the area, count the number of boxes in each row
4 + 4+ 8+8+4+4 = 32 units^2
2- b/3 = -5/2...................
Answer:
b = 7.5
[tex]b=7\frac{1}{2}[/tex]
[tex]b=\frac{15}{2}[/tex]
Step-by-step explanation:
[tex]\frac{-b}{3}= \frac{-5}{2}[/tex]
- b × 2 = - 5 × 3
- 2b = - 15
- 2b ÷ - 2 = - 15 ÷ - 2
b = 7.5
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]b=\frac{27}{2}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating The Answer...}}\\\\2-\frac{b}{3}=-\frac{5}{2}\\--------------\\\rightarrow 2 - 2 -\frac{b}{3}=-\frac{5}{2}-2\\\\\rightarrow-\frac{b}{3}=-\frac{9}{2}\\\\\rightarrow (-\frac{b}{3})3=(-\frac{9}{2})3\\\\\rightarrow -b = -\frac{27}{2}\\\\\rightarrow \frac{-b = -\frac{27}{2}}{-1}\\\\\rightarrow \boxed{b=\frac{27}{2}}\text{ or } \boxed{b=13.5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2−4x+1
y=x−3
Answer:
(1, -2), (4, 1)
Step-by-step explanation:
Here we want to solve the system of equations:
y = x^2 - 4*x + 1
y = x - 3
First, we can see that in both parts we have isolated the variable "y", so we can just write:
x - 3 = y = x^2 - 4*x + 1 = y
removing the "y"s, we get:
x - 3 = x^2 - 4*x + 1
Now we can solve this for x
0 = x^2 - 4*x + 1 - x + 3
0 = x^2 - 5*x + 4
This is a quadratic equation, the solutions are given by the Bhaskara's formula, that says that for a general quadratic equation:
0 = a*x^2 + b*x + c
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
So for the case of our equation:
0 =x^2 - 5*x + 4
The solutions are given by:
[tex]x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*1*4} }{2*1} = \frac{5 \pm 3}{2}[/tex]
So the two solutions are:
x₁ = (5 + 3)/2 = 4
x₂ = (5 - 3)/2 = 1
To find the ordered pair, we need to replace these values in one of the equations of the system, let's use the second:
y = x₁ - 3 = 4 - 3 = 1
Then we have one solution at (4, 1)
And for the other:
y = x₂ - 3 = 1 - 3 = -2
then the ordered pair is (1, -2)
Now we want to write from least to greatest with respect to the x-coordinate, then the correct order is:
(1, -2), (4, 1)
Miyoko's goal is to earn more than this week. She earns for every day she works as a cryptographer, and
earns for every day she works as a geologist.
Write an inequality that represents the number of days Miyoko should work as a cryptographer and as a
geologist to achieve her goal.
Answer:
$250*C + $180*G = $950
Step-by-step explanation:
Solving for G, it is G = (950 - 250C)/180
Solving for C, it is C = (950 - 180G)/250
suface areas- cones
wdh
Answer:
65
Step-by-step explanation:
The slant height of a cone is the length of a segment from the base to the vertext along the surface of the cone.
You can use the given dimenstions as the legs of a right triangle, and the slant heifght is rthe hyopotenuse.
L^2 = r^2 + h^2
L^2 = 5^2 + 12^2
L^2 = 169
L = 13
The slant heiht is 13 cm.
LA = (pi)rL
LA = (pi)(5 cm)(13 cm)
LA = 65(pi) cm^2
ramu swims a distance of 3 km each upstream and downstream. The total time taken is one hour. if the speed of the stream is 4km/h, then find the speed of ramu in still water.
(a) 12km/h
(b) 8km/h
(c) 9km/h
(d) 6km/h
please answer :)
Answer:
:5 or 6km per hour is your answer.
please help with this math problem
Answer:
The rate of change is 3.5
Step-by-step explanation:
Really? Like this is easy.
The two lines shown below are perpendicular. If the slope of the red line is 4,
what is the slope of the green line? Use a slash mark (/) as a fraction bar if
necessary.
D was 4
Answer:
C
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
Given the slope of the red line is 4 , then the slope of the green line is
m = - [tex]\frac{1}{4}[/tex] → C
The slope of the green line is C (m = -1/4 )
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The slope of the line is calculated as follows:
m = Δy/Δx
We are Given a line with slope m then the slope of a line perpendicular to it is m
m (perpendicular) = -1/m
Given the slope of the red line is 4 , then the slope of the green line is;
m = -1/4
Therefore the slope of the green line m = -1/4.
To know more about the Slope of the line here;
brainly.com/question/14511992
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2x-√x(1-2x) =1
x+√4-x² =2
Answer:
or, 2x-x^2+2x^2=1
or,2x+x^2=1
or,x^2+2x-1=0
or,x^2+x+x-1=0
or,x(x+1)+1(x-1)=0
or,(x+1)(x-1)=0
therefore x=(-1,+1)
Complete the expanded form of this number.
6,738
Enter numbers from greatest to least place value starting on the left.
6,000 + 700 + 30 + 8 is the expanded from.
Mr Yadav buys a radio for Rs 640 and sells it for Rs 672 Find it's profit
Answer:
hope it is helpful to you
The Gala Restaurant uses the equation 30n - C + 200 = 0 to determine the cost for a room rental, where a represents the cost. in dollars, which depends on n. the number of people attending. Express the equation in slope y-intercept form: C = mn + b
Given:
The equation is:
[tex]30n-C+200=0[/tex]
To find:
The slope intercept form of the given equation.
Solution:
We have,
[tex]30n-C+200=0[/tex]
We need to write the given equation in the form of [tex]C=mn+b[/tex].
Adding C on both sides, we get
[tex]30n-C+200+C=0+C[/tex]
[tex]30n+200=C[/tex]
Interchanging the sides, we get
[tex]C=30n+200[/tex]
This equation is in the form of [tex]C=mn+b[/tex], where m is 30 and b is 200.
Therefore, the slope intercept form of the given equation is [tex]30n-C+200=0[/tex].
A line passes through (-3, -1) and is parallel to the graph of y= 2x +3. What equation represents the
line in slope-intercept form?
PLEASE HELPPP
Answer:
y = 2x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, so
y = 2x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = 2x + 5 ← equation of parallel line
The Equation of line is y = 2x + 5.
What is slope of a line?The ratio of a line's change in y coordinate to its change in x coordinate is known as its slope.
Both the net change in the x-coordinate is Δx and the net change in the y-coordinate are represented by Δy.
Given Equation
y = 2x + 3
and line passes through (-3, -1)
equation of line is given by,
y =mx + c
where m is slope, given equation is parallel to graph the value of slope is equal for both
m = 2 from given equation
new equation is y = 2x + c
substitute values of x and y
-1 = 2(-3) + c
c = -1 + 6
c = 5
Equation of line is y = 2x + 5
Therefore the equation represents,
the line in slope-intercept form is y = 2x + 5
Learn more about slope of a line;
https://brainly.com/question/16180119
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eigthy millimetes as a percentage of one metre is
8
80
800
8000
Answer:
8%.
Step-by-step explanation:
There are 1000 millimeters in 1 meter.
So the percentage is (80/1000) * 100
= 80/10
= 8%.
Which of the following determines a plane?
Answer:
Answer B
3 non collinear point
The cost of renting a car is $29.00 a day plus $0.25 for every kilometre after the first 100km. What is the cost of renting the car for 14 days and 320km. (linear equtations)
Answer:
$461
Step-by-step explanation:
First, find the cost with the daily charge of $29.
Multiply 14 by 29, since the car was rented for 14 days:
14(29)
= 406
Find the cost with the distance traveled. Since there is only a charge after the first 100 km, subtract 100 from 320.
320 - 100
= 220
Find the charge by multiplying this by 0.25:
220(0.25)
= 55
Add this to the daily charge:
55 + 406
= 461
So, the cost will be $461
I need help can someone help!
Answer:
x = -4
Step-by-step explanation:
y = 3x - 1
Replace all instances of Y into the second quation.
2x - (3x-1) = 5
2x -3x +1 = 5
-x = 4
x= -4
Adele, Dennis, and Marie are siblings. The sum of their ages is 29. Marie is the eldest, and Adele is the youngest. None of the siblings are older than 16 or younger than 6. No two are the same age. List all the combinations of ages they could be in the organized list below. What is the probability that Marie is 12 years of age?
Answer:
also, Marie = 1/2
The probability that a certain football team wins a match is 2/3.Given that the team plays 4 matches, find the probability that the team wins 1)more than half of the number of matches played
Answer:
The probability is 32/81
Step-by-step explanation:
We know that:
The probability that the team wins is p = 2/3
Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3
The team plays 4 matches.
We want to find the probability that the team wins 1 more than half of the number of matches played.
So if there are 4 matches, the half is 2 matches
one more than half is then 3 matches.
Let's assume that the team wins the first 3 matches, and does not win the last match.
match one, the team wins with prob: P₁ = 2/3
match two, the team wins with prob: P₂ = 2/3
match three, the team wins with prob: P₃ = 2/3
match four, the team wins with prob: P₄ = 1/3
The joint probability is the product of all the individual probabilities:
P = (2/3)*(2/3)*(2/3)*(1/3)
Now we must also considerate the permutations, we have the cases:
the team does not win the fourth match
the team does not win the third match
the team does not win the second match
the team does not win the first match
So we have just four permutations, then the total probability is:
probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)
Please help will give brainiest. Find the length x of the shelf
Answer:
11
Step-by-step explanation:
15-12=3
so
x-8=3
x=11
Answer:
22.5 in.
Step-by-step explanation:
Both triangles have 110º so that means they are equal.
12x15=180 inches
180 ÷ 8 = 22.5So, X=22.5 inches
A cafe stores ice cream in a large hemisphere-shaped bowl with a diameter of 36 cm.
The ice cream has a density of 0.87 g/cm3.
The cafe sells the ice cream for £2.10 for a portion of 160 g.
If the bowl is filled to the top, what is the maximum amount of money the cafe can make by selling whole portions of ice cream?
Answer:
1115.8
Step-by-step explanation:
Which of the following sets represents the range of the diagram below? 2 3 3 A. {1,2,4) B. {3} C. {1,2,3,4} D. {4}
Answer:
bd.{4}
Step-by-step explanation:
becuaswe i had the test
Please help me for this problem.
Answer:
B: 1 and 3
Step-by-step explanation:
corect me if im wrong hope it helps aki brainliest thx:)
Polygon ABCD is a parallelogram, and m∠ABC = 127°. The length of is 10 units, and the length of is 5 units.
The perimeter of the parallelogram is
units, and m∠BCD is
°
16
fy
What is the rate of change of the function shown on the
graph? Round to the nearest tenth.
14
(2. 12.5)
12
10
O 2.00
O 2.50
O 5.25
O 10.50
8
6
(1,5)
4
(-1,0.8) 3 (0,2)
-4 -3 -2 -1
-2
4 x
-4
-6
Answer:
[tex]2.50[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-1,0.8)[/tex]
[tex](x_2,y_2) = (0,2)[/tex]
[tex](x_3,y_3) = (1,5)[/tex]
[tex](x_4,y_4) = (2,12.5)[/tex]
Required
The rate of change (b)
The above graph is represented as:
[tex]y = ab^x[/tex]
For: [tex](x_2,y_2) = (0,2)[/tex];
We have:
[tex]y = ab^x[/tex]
[tex]2 = a * b^0[/tex]
[tex]2 = a *1[/tex]
[tex]2 = a[/tex]
[tex]a = 2[/tex]
For [tex](x_3,y_3) = (1,5)[/tex],
We have:
[tex]y = ab^x[/tex]
[tex]5 = a * b^1[/tex]
[tex]5 = a * b[/tex]
Substitute [tex]a = 2[/tex]
[tex]5 = 2 * b[/tex]
Divide by 2
[tex]2.5 = b[/tex]
[tex]b = 2.5[/tex]
Hence, the rate of change is 2.50
HELLLLLP 20 character rule
Answer:
m= -6
Step-by-step explanation:
:]
The theater club is charging $20 for 3 tickets. What is the rate of change in this situation?
Answer:
20/3
Step-by-step explanation:
The Other guy is wrong, this is the correct answer from Plato
The rate of change in a direct variation relationship is the same as the constant of proportionality. The rate of change is the change in the dependent value, y, over the change in the independent value, x.
In this case, the number of tickets sold is the independent variable and the amount of money raised from ticket sales is the dependent variable. The ratio of money raised per ticket sold is the constant of proportionality.
Since 3 tickets are sold for $20, the rate of change, or slope, is 20/3
Answer:
20/3 I mean imI'm doing it rn and..... the plug
Step-by-step explanation:
solve the system below by substitution. write the solution as a coordinate pair.
5x - y = 19
y = 2x - 1
The cost of one scooter is Rs.52,136. What is the cost of 34 scooters?
----------------------------------------------------------------------------------------------------------------------------
Rs.17,72,624
Rs.1,77,26,204
Rs.1,24,56,658
Answer:
Rs.1772624
Step-by-step explanation:
Multiply 52,236 by 34
Given m||n, find the value of x.
Answer:
x = 15
Step-by-step explanation:
The two angles add to a straight line, so they add to 180
6x-5 + 6x+5 = 180
Combine like terms
12x = 180
Divide by 12
12x/12 =180/12
x =15
Answer:
x = 15
Step-by-step explanation:
Two angles are supplementary and their sum is 180
6x + 5 + 6x - 5 = 180 add like terms
12x = 180 divide both sides by 12
x = 15