Answer:
f(x)=(−1,−6)
g(x)=(−2/3,7/3)
Step-by-step explanation:
What are we finding the vertex
Answer:
A. -2x^2-2x-4
Step-by-step explanation:
:D
Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum
(physics question)
The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the directions are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
What is the magnitude of the vector?The magnitude of a vector can be defined as:
The length of a vector or the distance between the initial point and the endpoint of a vector.
Here given that,
[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]
The magnitude of a vector is the length of the vector.
The magnitude of the vector a is denoted as ∥a∥.
For magnitude,
[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]
For Direction of sum,
[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
For the vector B, the direction of the sum is
[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the direction are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
To know more about the magnitude;
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lol but how do i do this??
Answer:
Y=x+12
Step-by-step explanation:
Not pretty sure XD but .-.
Answer: 1/2 x + 3
Step-by-step explanation: y = 3 slope = 1/2
easy multiple choice!
Answer:
what are the choices
Step-by-step explanation:
Answer: is there suppose to be a pic?
write the slope intercept form of the equation of each line
Answer:
y=1/5x+3
Step-by-step explanation:
Slope-intercept form is written as y=mx+b, with mx representing slope and b representing the y-intercept.
Referring to the line on the graph, find where the line crosses the y-axis and you get 3 for your y-intercept. Now, to get the slope start from the point of the y-intercept (0,3) and choose another point. For example, choose (5,4)
Remember rise over run. Start from the y-intercept and count up and over until you get to (5,4). When doing this, you get 1/5
Equation is: y=1/5x+3
This table shows a proportional
relationship.
4
-2
0
2
4
-14 -7
0
7
14
Which ordered pair could also belong to
this relationship?
A (-6,21)
B -1.-3)
C (1,3)
D (6,21)
Answer:
D (6, 21)
Step-by-step explanation:
Since the ratio of the corresponding values of x and y given in the table is 2 : 7
So, 6/ 21 = 2/7 = 2: 7
Thus, D (6, 21) is the correct answer.
Answer:
D
Step-by-step explanation:
please help me i give 5* along with thanks for quality answer
Answer:
The total number of faces in a pyramid= 1+n
49y²+42y+9 please I need help, I promise to rate you as the brain lest when I get the exact answer am looking for
Answer:
[tex]\huge\boxed{\sf (7y+3)(7y+3)}[/tex]
Step-by-step explanation:
[tex]\sf = 49y^2+42y+9\\\\=(7y)^2+2(7y)(3)+(3)^2\\\\Using \ Formula \ a^2+2ab+b^2 = (a+b)^2\\\\= (7y+3)^2\\\\= (7y+3)(7y+3)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Suppose the linear regression line y = 2.1x + 130 predicts sales based on the
money spent on advertising. If x represents the dollars spent in advertising,
and y represents the company sales in dollars, about how much can the
company expect in sales if it spends $150 in advertising?
Answer:
$445
Step-by-step explanation:
Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.
Linear regression represents the relationship between two variables. the value of y depends on the value of x.
x represents the dollars spent in advertising and y represents the company sales in dollars.
We need to find out sales y when $150 spends on advertising.
Plug in 150 for x and find out y
y = 2.1 x + 130
y = 2.1 (150) + 130
y= 445
The company expects $445 in sales
The company expects $445 in sales.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising.
Now, Linear regression represents the relationship between two variables. the value of y depends on the value of x.
Here, x represents the dollars spent in advertising and y represents the company sales in dollars.
We need to find out sales y when $150 spends on advertising.
Plug in 150 for x and find out y as;
y = 2.1 x + 130
y = 2.1 (150) + 130
y = 445
Thus, The company expects $445 in sales.
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whats 2 over 3 x5 in fractions
m24 = 115°
mZ1 = (2x)
m22 = (x + 28)
Answer:
n the figure, m 3 = 75 and mZ10 = 115. ... CY 337] . 2x +13269. 2x =50. X=28. Find mZ1 in each figure. Exoor. 10. تا ... m24 = 75 24 and 22 are vertical angles.
Missing: m22 = | Must include: m22 =
Step-by-step explanation:
−(5x−0.4)=−7(−0.4−x) need to be exact or rounded to the nearest hundredth.
Answer:
-0.2
Step-by-step explanation:
it's that exact answer , I did not rounded
Can somebody help me solve this equation?
from formula I=U/R tell the R
R=I/U
R=U/I
R=IU
Answer:
R = [tex]\frac{U}{I}[/tex]
Step-by-step explanation:
Given
I = [tex]\frac{U}{R}[/tex] ( multiply both sides by R to clear the fraction )
R × I = U ( isolate R by dividing both sides by I )
R = [tex]\frac{U}{I}[/tex]
Anasia is a basketball player who regularly shoots sets of 2 free-throws. Suppose that each shot has probability
0.7 of being made, and the results of the shots are independent.
The table below displays the probability distribution of X, the number of shots that Anasia makes in a set of 2
attempts.
2
X=of makes 0 1
P(X)
0.09 0.42
0.49
Given that r = 1.4 makes, find the standard deviation of the number of shots that Anasia makes.
Round your answer to two decimal places
shots
Answer:
0.65
Step-by-step explanation:
The required standard deviation is 0.65
Given data is,
Computation:
[tex]\varepsilon_x\times P(X=x)=0\times 0.09+1\times0.42+2\times0.49\\=0.42+0.98\\=1.4[/tex]
Now,
[tex]E(X^2)=0^2\times 0.009+1^2\times 0.42+2^2\times 0.49\\=0.42+1.96\\=2.38\\\sigma ^2=E(X^2)-(E(X))^2\\=2.38-(1.4)^2\\=0.42\\\sigma =\sqrt{0.42}\\=0.65[/tex]
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HELP WILL GIVE BRAINIEST IF ANSWERED FAST!!! HELP NOWWWW
33
Since it is parallel, that means that the line will have the same slope. Just simplify and add the x values in the first equation to get 33x.
In a city in Ohio, the sales tax rate is 7%. What is the sales tax of a pillow that costs $8? *
Answer:
.56 cent
Step-by-step explanation:
Hope this helped you!! Give brainliest.
Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...
Answer:
x = 25.734083
[tex]x \approx 25.734[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)
Tangent Ratio:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
Substituting:
[tex]\displaystyle \tan 25^\circ=\frac{12}{x}[/tex]
Solving for x:
[tex]\displaystyle x=\frac{12}{\tan 25^\circ}[/tex]
Calculating:
[tex]\displaystyle x=\frac{12}{0.466307}[/tex]
x = 25.734083
Round to 3 decimals:
[tex]\mathbf{x \approx 25.734}[/tex]
Una familia, formada por 3 adultos y 6 niños, va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €. Por cada 3 entradas que se compran rebajan 4 €. ¿Cuánto paga la familia?
Answer:
La familia paga 72 €.
Step-by-step explanation:
Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.
Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.
3 adultos* 12 €= 36 €
Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.
6 niños* 8 €= 48 €
Sumando el total pagado por la entrada para adultos y para niños se obtiene:
36 € + 48 €= 84 €
La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:
3 "packs" de 3 entradas* 4 €= 12 €
Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:
84 € - 12 €= 72 €
Finalmente, la familia paga 72 €.
Please help due soon!
17. Write an equation for the translation of y = |x| that is 2 units left.
The dimensions for a rectangular prism are x + 5 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.
Answer:
Step-by-step explanation:
v
=
x
3
+
6
x
2
+
5
x
Explanation:
The formula for volume is:
v
=
l
⋅
w
⋅
h
where
v
is the volume,
l
is the length,
w
is the width and
h
is the height.
Substituting what we know into this formula gives:
v
=
(
x
+
5
)
(
x
+
1
)
x
v
=
(
x
+
5
)
(
x
2
+
x
)
v
=
x
3
+
x
2
+
5
x
2
+
5
x
v
=
x
3
+
(
1
+
5
)
x
2
+
5
x
v
=
x
3
+
6
x
2
+
5
x
Estimate the difference.
14One-ninth – 5.89
8
12
16
20
Answer:
8
Step-by-step explanation:
exact
127/9-5.89
14.11-5.89
8.22
estimating
14 1/9 is close to 14
5.89 is close to 6
14-6 is 8
Answer:
the answer is 8
Step-by-step explanation:
hope i help
Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y=70h+100
a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour.
b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour.
c. Dan leaves at 1:00 and is traveling at 70 miles per hour.
d. Dan leaves at noon and is traveling at 100 miles per hour.
Answer:
a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.
Step-by-step explanation:
Given
[tex]y = 70h + 100[/tex]
Required
Interpret
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex]
By comparison with [tex]y = 70h + 100[/tex]
[tex]m = 70[/tex]
i.e. He travels at 70 miles per hour
And
[tex]b = 100[/tex]
This represents the initial distance as at when he started travelling (12 noon)
i.e. At noon, he is 100 miles away from home
Answer:
A is the right answer.
Step-by-step explanation:
For the picture I think you can zoom in to see it more clearly.
Answer:
y=15x
Step-by-step explanation:
YEPP PRETTY CONFIDENT IN THE ANSWER
9514 1404 393
Answer:
s = 15w
Step-by-step explanation:
The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.
The equation asked for is ...
s = 15w
Maya has 120 caramel apples to sell. Each caramel apple is covered with one toppin.
they got sold by her
Step-by-step explanation:
lol she sold her apples to people
Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?
Answer:
$460.
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]
So the price yesterday was $460
A dressmaker has 75 yards of lace. it takes
[tex]1 \frac{1}{2} [/tex]
yards of lace to decorate one pocket.
How many pockets can she decorate with the lace she has.
Answer:
50 pockets
Step-by-step explanation:
Total yards of lace = 75
Yards to decorate one Pocket = 1 1/2 yards
How many pockets can she decorate with the lace
Number of pockets she can decorate with the lace = Total yards of lace / Yards to decorate one Pocket
= 75 ÷ 1 1/2
= 75 ÷ 3/2
= 75 × 2/3
= 150/3
= 50
Number of pockets she can decorate with the lace = 50 pockets
I need help on this question if you can I'll give you brainliest and 20 points
what is 2x2? I am rellying on you smart people
;)
Answer:
4
Step-by-step explanation:
2*2 answer is 4
Which coordinate pair is a solution to the inequality 4x - 2y <22
Step-by-step explanation:
Given the inequality 4x - 2y < 22, to get the ordered pair of the inequality, we will have to set x = 0 and y = 0 and then solve
when x = 0;
4(0)-2y < 22
-2y < 22
Divide both sides by -2
-2y/-2 > 22/-2
y > -11
When y = 0
4x - 2(0)<22
4x < 22
x < 22/4
x < 11/2