Answer:
x = 7
Step-by-step explanation:
y = (x – 7)^2 – 3
This equation is in vertex form
y = a(x-h)^2 +k
where (h,k) is the vertex
For a vertical parabola, the line of symmetry is x=h
x = 7
Evaluate 10 + 8 ÷ 2 − 4
Step-by-step explanation:
we will solve this question according to BODMAS rule...
B for bracket
O for of
D for division
M for multiplication
A for addition
S for Subtraction
10+4-4
14-4
10 Answer..
Answer:
10
Step-by-step explanation:
Using order of operations as stated in PEMDAS , that is
division is performed before addition/ subtraction , then
10 + 8 ÷ 2 - 4
= 10 + 4 - 4
= 14 - 4
= 10
Sunita bought a 10 kg box of grapes from the market. She gave 3 1/2 kg of her grapes to her friend Reena and 2 1/4 kg to Anita. How many kilograms of grapes were left with her?
Answer:
17/4 kg
Step-by-step explanation:
Sunita has = 10kg of grapes
Quantity given out :
To Reena =3 1/2
7/2 kg
To Anita =2 1/4
9/4 kg
Total quantity of grape given out
7/2+9/4
(14+9)/4
23/4
Quantity left after giving out = Total quantity of grape before giving out minus quantity of grape given out
10/1 - 23/4
40-23)/4
= 17/4 or 4 1/4
Hence, she has 17/4 kg of grape left with her
35. What is the point-slope form of the
equation for the line with a slope of
-2 that passes through (1,4)?
A. y + 1 = -2(x + 4)
B. y - 1 = -2(x - 4)
C. y + 4 = -2(x + 1)
D. y - 4 = -2(x - 1)
Answer:
D) y - 4 = -2 ( x - 1 )
Step-by-step explanation:
Point-slope form is y - y₁ = m ( x - x₁ )
so you just plug in your points, hope this helped
One week, Daniel earned $554.30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $939.90?
Answer:
39 hours
Step-by-step explanation:
First, let's find the rate of money per hour:
$554.30 / 23 hour
= $24.1 / 1 hour
Daniel earns $24.10 every hour he works.
To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:
$939.90 / 24.10
= 39
Now, we can check:
$24.10 * 39
= $939.90
Hope this helps! Please tell me if I was incorrect!
On a plane trip, baggage over 40 pounds is charged at the rate per pound of 1% of the one-way fare. The charge for a bag weighing 52 pounds on a trip where the one-way fare is $98 is:
Answer:
$11.76 is the charge for bag.
Step-by-step explanation:
Given:
One way fare = $98
Weight of bag = 52 pounds
Rate per pound Charges on baggage over 40 pounds = 1% of the one-way fare
To find:
Charge for bag = ?
Solution:
Pounds more than 40 pounds = Weight of baggage - 40 pounds
[tex]\Rightarrow 52-40 = 12\ pounds[/tex]
Charges on extra baggage = 1% of one-way fare multiplied by pounds more than 40.
Here one way fare is $98.
So, charges on extra baggage will be:
[tex]1\%\ of\ 98 \times (52-40) \\\Rightarrow 1\%\ of\ 98\times (12)\\\Rightarrow \dfrac{1}{100}\ of\ (98 \times 12)\\\Rightarrow \dfrac{1}{100}\times (98 \times 12)\\\Rightarrow \bold{\$11.76}[/tex]
So, the charge for the baggage is $11.76.
WILL GIVE BRAINLY PLEASE HELP!!!!!!!
Describe the type of correlation between two variables on the scatterplot. How do you know? Does the correlation between the variables imply causation? Explain
contains points:
(0.7,1.11)
(21.9,3.69)
(18,4)
(16.7,3.21)
(18,3.7)
(13.8,1.42)
(18,4)
(13.8,1.42)
(15.5,3.92)
(16.7,3.21)
Answer:
r² = 0.5652 < 0.7 therefore, the correlation between the variables does not imply causation
Step-by-step explanation:
The data points are;
X, Y
0.7, 1.11
21.9, 3.69
18, 4
16.7, 3.21
18, 3.7
13.8, 1.42
18, 4
13.8, 1.42
15.5, 3.92
16.7, 3.21
The correlation between the values is given by the relation
Y = b·X + a
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
Where;
N = 10
∑XY = 499.354
∑X = 153.1
∑Y = 29.68
∑Y² = 100.546
∑X² = 2631.01
(∑ X)² = 23439.6
(∑ Y)² = 880.902
From which we have;
[tex]b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566[/tex]
[tex]a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704[/tex]
[tex]r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}[/tex]
[tex]r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6 \right )\times \left (10 \times 100.546- 880.902\right )} } = 0.7518[/tex]
r² = 0.5652 which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.
Giving Brainliest for right answers :)
Answer:
∠ DFE = 15°
Step-by-step explanation:
The inscribed angle DFE is half the measure of its intercepted arc, that is
∠ DFE = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 30° = 15°
Answer:
<DFE = 15
Brainliest, please!
Step-by-step explanation:
<DFE is an inscribed angle. An inscribed angle measures half as much as it's opposite arc.
30 x 1/2 = 15
Write an equation in point-slope form for the line through the given point with the given slope.
3
(4, -6); m =
Answer:
y+6 = 3(x-4)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -6= 3(x - 4)
y+6 = 3(x-4)
What is the area of the shaded region on the graph shown?
Answer:
As Doris Day said: Good morning to you
Answer 27/2
Step-by-step explanation:
[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]
HHHHEEEEELLLLLPPPPPPP PLEASEEE ANSWER #1 AND #2
Answer:
37 = -3 + 5(k +6)
37 = -3 + 5k + 30
37 = 27 + 5k
10 = 5k
k = 2
-2 = -(w - 8)
-2 = -w + 8
-10 = -w
w = 10
Answer:
37=-3+5(k+6)
37=-3+5k+30
37=27+5k
37-27=5k
5k=10
k=10/2
k=5
***********************************************************************************
-2= -(w-8)-2=-w+8
-2-8=-w
-w=-10
w=10
Can someone please explain this to me? I don’t understand it at all
Answer:
Step-by-step explanation:
Angle 1 and angle 4 are Alternative angles:
Alternative angles are pair of angles on the inner side of each of those two lines but on opposite sides.
∠1+∠2 =180 sum of straight angle =180 ( angle 2=118)∠2-∠2=180 ,∠2=180-62=118
∠4+∠2=180 sum of straight angles=180 (∠4=62 degrees)∠4+118=180 ⇒∠4=180-118 ⇒∠4=62 degrees
∠1=∠4 alternative angles
Find the measure of b.
Answer:
b = 80°
Step-by-step explanation:
The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.
Thus, the angle is = 80°
Therefore, b + 80° = 180° (angle on a straight line = 180°).
Thus, b = 180° - 80° = 100°.
The measure of b is 80°.
The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days:
n = 2000x + 1000
What does the number 2,000 represent?
Answer:
Amount of trash added to the landfill everyday
Step-by-step explanation:
If 2000 represents the amount of trash added to the landfill everyday then 1000 is the starting amount.
I got it right on the test. Hope this helped!
Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Answer:
Step-by-step explanation:
Hope this Helps ;)
Please Explain step-by-step
An algebra class contains 30 students. Forty
percent of the students in the class are girls. How
many boys are in the class?
Answer:
algebra es muy buena materia
Which property can you apply to Hayley's expression to show that it is equivalent to Gretchens expression?
Answer: Distributive property of the multiplication.
Step-by-step explanation:
You did not post Gretchen's expression, but i gues that it is 3*(x + y)
I guess that it is the distributive property of the multiplication.
For 3 numbers, A, B and C, we have that:
A*(B + C) = A*B + A*C
here we have:
3*x + 3*y
We can do the inverse process to the distributive property, and get:
3*x + 3*y = 3*(x + y)
which i guess is Gretchen's expression.
Answer:
the other person is right it is Distributive property of the multiplication.
What is the image of the point (-1,3) after a rotation of 270° counterclockwise
about the origin?
Answer:
3,-1
Step-by-step explanation:
The image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).
The given coordinate point is (-1, 3).
What is a rotation of 270° counterclockwise about the origin?When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.
The point (-1, 3) is rotated 270° counterclockwise about the origin becomes (3, -1).
Therefore, the image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).
To learn more about the rotation of 270° counterclockwise visit:
brainly.com/question/9109065.
#SPJ2
please solve this question.
[tex]\left(\dfrac{1}{1+2i}+\dfrac{3}{1-i}\right)\left(\dfrac{3-2i}{1+3i}\right)=\\\\\left(\dfrac{1-2i}{(1+2i)(1-2i)}+\dfrac{3(1+i)}{(1-i)(1+i)}\right)\left(\dfrac{(3-2i)(1-3i)}{(1+3i)(1-3i)}\right)=\\\\\left(\dfrac{1-2i}{1+4}+\dfrac{3+3i}{1+1}\right)\left(\dfrac{3-9i-2i-6}{1+9}\right)=\\\\\left(\dfrac{1-2i}{5}+\dfrac{3+3i}{2}\right)\left(\dfrac{-3-11i}{10}\right)=\\\\\left(\dfrac{2(1-2i)}{10}+\dfrac{5(3+3i)}{10}\right)\left(\dfrac{-3-11i}{10}\right)=[/tex]
[tex]\dfrac{2-4i+15+15i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{17+11i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{-51-187i-33i+121}{100}=\\\\\dfrac{70-220i}{100}=\\\\\dfrac{70}{100}-\dfrac{220i}{100}=\\\\\boxed{\dfrac{7}{10}-\dfrac{11}{5}i}[/tex]
maggie’s brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie
Answer:
I HOPE IT WILL WORK
Step-by-step explanation:
let age of Maggie =x years
as given that Maggie brother is 3 year less than twice of her age
hence
brother = (2x-3) years
also given that sum of ages =24
hence
x+(2x-3)=24
3 x-3=24
3 x=27
x=9 years Maggie
so his brother=9-3=6 years
pls hit the star and brainlist it if you found it helpfull thanks
1+-2/3--m where m=9/2
Answer:
-25/9
Step-by-step explanation:
1 + (-2/3) - m
Plug in:
1 + (-2/3) - 9/2
1 + 2/3 - 9/2
1/3 - 9/2
-25/9
Hope this helped.
Answer:
4 5/6
Step-by-step explanation:
1+-2/3--m
Subtracting a negative is like adding
1-2/3 +m
1/3+m
m = 9/2
1/3 +9/2
Get a common denominator of 6
1/3 *2/2 +9/2*3/3
2/6 + 27/6
29/6
Changing to a mixed number
4 5/6
A recipe for peanut butter cookies calls for 1 cup of sugar, 1 cup of chunky peanut butter, and 1 medium egg. The recipe yields 18 cookies. If the baker has 12.5 cups of sugar, 15 cups of chunky peanut butter, and 10 eggs. How many full batches of cookies can the baker make
Answer:
10 batches - they only have 10 eggs, so they can't make any more batches without them
2.6767.......
How do I write 2.67 w/ repeating 67 as a simplified fraction,...
Please show work (or provide explination)
Answer:
[tex]\displaystyle \frac{265}{99}[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] be equal to the fraction form of the decimal.
[tex]x=2.\overline{67}[/tex]
Multiply both sides by 100:
[tex]100x=267.\overline{67}[/tex]
The reason we multiply both sides by 100 is that 2.6767... has two repeating decimals, 6 and 7, and 100 has two zeros.
Now, we have these two equations:
[tex]100x=267.\overline{67}[/tex]
[tex]x=2.\overline{67}[/tex]
Subtract [tex]x=2.\overline{67}[/tex] from [tex]100x=267.\overline{67}[/tex]:
[tex]100x=267.\overline{67}\\- x=2.\overline{67}\\\rule{70}{0.5}\\99x=265[/tex]
Isolate [tex]x[/tex] by dividing both sides by 99:
[tex]\displaystyle x=\frac{265}{99}[/tex]
I hope this helps!
An_ is the set of numbers that include negative numbers
and the subset of_ numbers (...-3, -2, -1, 0, 1, 2, 3...). Also
described as positive numbers and their opposites and zero.
Blank 1:
Blank 2:
Answer:
Integer, rational
Step-by-step explanation:
An integer is normally described as a positive and their opposites and zero. The explaination for blank 2 is a rational number because a rational number can also be an integer and a whole number. Hope this helps!
Answer:
Step-by-step explanation:
The answer is integer. Integer are whole numbers that are either positive or negative including 0.
Please help explanation if possible
Answer:
17.6
Step-by-step explanation:
Answer:
80 pennies ; 160 nickels
Step-by-step explanation:
Given the 2 equations
0.01p + 0.05n = 8.80 → (1)
n = 2p → (2)
Substitute n = 2p into (1)
0.01p + 0.05(2p) = 8.80
0.01p + 0.1p = 8.80
0.11p = 8.80 ( divide both sides by 0.11 )
p = 80
Substitute p = 80 into (2)
n = 2 × 80 = 160
There are 80 pennies ; 160 nickels
Factorise : a^2+4a-60 Step by Step
Answer:
Step-by-step explanation:
Sum = 4
Product = -60
Factors = 10 , -6
a² + 4a - 60 = a² + 10a - 6a + (-6) * 10
=a(a + 10) - 6(a +10)
= (a +10) (a -6 )
In the expression, 9x^3+4x^2+7x+6, what is the constant?
9
7
6
4
Answer:
6Step-by-step explanation:
Constant - any number that do not have a variable.Ex.: 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
An expression is defined as a set of numbers, variables, and mathematical operations. In the given expression 9x³+4x²+7x+6, the value of the constant is 6.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In the given expression, 9x³+4x²+7x+6, the value of the constant is the value that does not have any variable with it.
Therefore, in the given expression 9x³+4x²+7x+6, the value of the constant is 6.
Learn more about Expression here:
https://brainly.com/question/13947055
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PLEASE HURRY!!!
Find the area of the region that is NOT shaded.
Answer: 122 square feet
Explanation:
The larger rectangle has area of 14*15 = 210 square feet.
The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.
The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet
Sentense 2: what is the answer?
Consider the function f(x)=|-x-3/2|-1
Answer:
x1(1 is on the bottom)= -5/2 (fraction), x2(2 on the bottom)=-1/2 (fraction)
Step-by-step explanation:
Please Help!!! What is 2x = 40?
Answer:
Friend your answer is 20
Step-by-step explanation:
You divide 40 by the co-efficient of 2=20
[tex]\boxed{x = 20}[/tex]
There is only one step to this equation. We use inverse operations to isolate the x by dividing 2 on both sides; because 2 is being multiplied by x, and the inverse operation for multiplication is division.
2x/2 = x
40/2 = 20
The equation now looks like:
x = 20
This is your answer.