The correct option about the graph is one quadratic graph facing up and one quadratic graph facing down. They intersect at negative 1, negative 2 and 1, negative 2.
Which graph correctly solves the equation below?Here we have the quadratic equation:
-x² - 1 = 2x² - 4
So we can have the graph of two quadratic equations in the same coordinate axis, these graphs are of:
y = -x² - 1
y = 2x² - 4
One is a quadratic that opens down, and the other is a quadratic that opens up.
To see if the graphs intercept we can try to solve the equation:
-x² - 1 = 2x² - 4
2x² - 4 + x² + 1 = 0
3x² - 3 = 0
x² - 1 = 0
The solution is x = ±1
The y-values of the solutions are:
y = -x² - 1
y = - (±1)² - 1 = -2
So the two intersections are at (-1, -2) and (1, -2).
The correct option is the second one.
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2. A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the
water and the water rises 3.4 cm. Find the volume of the stone.
Answer:
This answer is A
Step-by-step explanation:
Answer:
Subtraction. 10.6 is your answer.
Step-by-step explanation:
14 - 3.4 = 10.6
subtract the rock's volume from the volume of the water.
PLS HELP ME COMPLETE 1 AND 2! 90 points!
Answer:
1.
a) Slope: 1/3. Y-intercept:-2.
b) y=1/3x-2
2.
a) y=9.50x+15
b) To solve, substitute 12 in for x. y=9.50(12)+15. y=114+15. y=129. It will cost $129 for a full year membership.
NEED HELP ASAP!!!!!!!!!!!!!!!
Answer: c is the answer
It takes Cindy about 30 minutes to paint a picture.
About how long would it take Cindy to paint 2 pictures?
Answer:
60 mins
Step-by-step explanation:
1 picture = 30 mins
times both sides by 2 to get 2 pictures
2 pictures = 60 mins
Answer:
what are coprime number
Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate.
Which inequlity represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?
A.
t > 2.5
B.
t < 2.5
C.
t > 0.4
D.
t < 0.4
Answer:
Bro the answer is A
Step-by-step explanation:
trust me straight 100% brain dead person
Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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Compute $(\sqrt 3)^2\cdot (\sqrt 4)^3\cdot (\sqrt 5)^4$.
Answer:
\frac{x^{\frac{5}{2}}\cdot \:6y^2\sqrt[3]{y^4}}{12x^{\frac{1}{2}}\sqrt[4]{x^3}}=\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}
I wrote it properly below :)
--------------------------------------------------------------------
\(\frac{x^{\frac{5}{2}}\cdot \:6y^2\sqrt[3]{y^4}}{12x^{\frac{1}{2}}\sqrt[4]{x^3}}=\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}\)
Answer:
600
Step-by-step explanation:
Find the third iterate x3 of f(x) = 2x + 3
for an initial value of x0 = 2
a. 7
b. 15
c. 17
d. 37
For the function f(x) = 2x + 3 the third iterate x₃ is 37
To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,
we can apply the function repeatedly.
Starting with x₀ = 2:
x₁ = f(x₀)
= 2(2) + 3
= 7
x₂ = f(x₁)
= 2(7) + 3 = 17
x₃ = f(x₂)
= 2(17) + 3
= 37
Therefore, the third iterate x₃ is 37.
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Evaluate. Express your answer to the nearest tenth, if necessary.
a) 5.3 ÷ (−8.4)
b) −0.25 ÷ (−0.031)
c) −5.3 + 2.4[7.8 + (−8.3)]
d) 4.2 − 5.6 ÷ (−2.8) − 0.9
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If a firm has a production quota of 400=5x1^2+8x1x2+15x2^2, what combination of good x1 and x2 should the firm produce to minimize cost of C=x1^2+x2^2
The firm should produce good x₁ = 4 and x₂ = 8 to minimize cost of C = x₁² + x₂² .
What is Lagrange multipliers ?
Lagrange multipliers is a method used in optimization problems to find the maximum or minimum value of a function subject to one or more constraints. The method involves introducing a Lagrange multiplier, which is a scalar variable, to the objective function and the constraint(s). This forms the Lagrangian function, which is then optimized with respect to the original variables and the Lagrange multiplier.
To minimize the cost C = x₁² + x₂²
We can use the method of Lagrange multipliers to solve this problem. Let's define the Lagrangian function L as:
L(x₁, x₂, λ) = x₁²+ x₂² + λ(400 - 5x₁²- 8x₁x₂ - 15x₂²)
Taking partial derivatives of L with respect to x₁, x₂, and λ, we get:
∂L/∂x₁ = 2x₁ - 10λx₁ - 8λx₂ = 0
∂L/∂x₂ = 2x₂ - 30λx₂ - 8λx₁ = 0
∂L/∂λ = 400 - 5x₁² - 8x₁x₂ - 15x₂² = 0
Solving these equations simultaneously, we get:
x₁ = 4
x₂ = 8
λ = 1/20
Hence, the firm should produce a combination of x₁ = 4 and x₂ = 8 to minimize the cost of C = x₁² + x₂² while satisfying the production quota of 400.
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The scores on a standardized test are normally distributed with a mean of 80 and standard
deviation of 5. What test score is 0.9 standard deviations above the mean?
Answer:
84.5
Step-by-step explanation:
Given :
Mean μ = 80
Standard deviation, σ = 5
Z = number of standard deviations from the mean, Z = 0.9
Teat score, x
Using the Zscore formula :
Zscore = (x - μ) / σ
Plugging in our values :
0.9 = (x - 80) / 5
Cross multiply
0.9 * 5 = x - 80
4.5 = x - 80
4.5 + 80 = x
x = 84.5
Test score = 84.5
If
m
�
�
⌢
=
5
4
∘
m
GT
⌢
=54
∘
and
m
�
�
⌢
=
16
0
∘
m
YC
⌢
=160
∘
, find
m
∠
�
m∠W.
Answer:
∠ W = 53°
Step-by-step explanation:
the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is
∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°
help please asap
jahahhahahahahaha
Answer:
No
Step-by-step explanation: Try the vertical line test. If the line goes directly through the angle or shape, it's not a function. Let me know if you want an example.
I've attached an image. This rule applies to every angle.
Choose all the expressions that are equal to 5/9 x 8
*Hint: There are 2 correct answers
a
9÷5×8
b
8/9×5
c
5÷8×9
d
5×1/9×8
Answer:
b,d
Step-by-step explanation:
...................
A printer can print 12 pages in 9 seconds. What is the closet estimate of the number of pages it can print in one minute
3 The diameter of a regulation soccer ball is about 85 inches. This number was graphed on a number line. a Which point could be the point representing the graph of the diameter of the ball?
Answerok its 35
Step-by-step explanation:
999x85 i need help getting the answers for this question
the answer for this is 84915
Please I need help this is due tomorrow
G and H are two points on Figure 1, but they are not shown. The distance between G and H is 1. What is the distance between the corresponding points on Figure 2?
Answer:
3 units
Explanation:
On field trips there must be 2 chaperones for every 15 students which ratio correctly express the ratio of students
Answer:
15:2 or 15 to 2
Step-by-step explanation:
They are asking for a ratio based on how many chaperones per student (in this case 15 students) In other words 15 students for every 2 chaperones.
PLS HELP ASAP What pattern do you notice about the exponents when dividing two powers with the same base?
Answer:
subtract the exponents
Step-by-step explanation:
To divide powers of the same base, you can subtract the exponents.
Put the following in order from smallest to greatest 1/2 0.32 and 6%
Answer: 6%, .32, 1/2
Step-by-step explanation:
if you put all of them into decimals, you get
1/2=.50
.32=.32
6%=.06
Econo motel charges $260 for 4 nights. At that rate, how much would 7 nights cost
Divide the cost for 4 nights by 4 to get cost per night.
260/4 = 65 per night.
Multiply cost per night by 7:
65 x 7 = 455
It would cost $455 for 7 nights.
Which three steps are correct when solving this quadratic equation by completing the square? X^2-10x=39
Step-by-step explanation:
Any answer that involes,
Step 1: Complete the Square
\( {x}^{2} - 10x = 39\)
\(( \frac{ - 10}{2} ) {}^{2} = 25\)
\( {x}^{2} - 10x + 25 = 64\)
Step 2: Turn the left side into a binomial
\((x - 5) {}^{2} = 64\)
Step 3: Solve for x.
\(x - 5 = + - 8\)
\(x - 5 = 8\)
\(x = 13\)
OR
\(x - 5 = - 8\)
\(x = - 3\)
X=-3 or X=13
What is the probability ethier event will occur?
From the given Venn diagram the value of P(A or B) is 0.
From the given Venn diagram, we have P(A)=14, P(B)=10 and (P and B)=24.
We know that, P(A or B)=P(A)+P(B)-P(A and B)
P(A or B)=14+10-24
P(A or B)=0
Therefore, from the given Venn diagram the value of P(A or B) is 0.
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Find the total surface area of this square based pyramid. 10ft 10ft (in the image)
find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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A line segment goes from the point (1,4) to the point (6,14). What are the coordinates of the point that partitions this segment in the ratio 2:3?
let's say segment A(1 , 4) through B(6 , 14) gets partitioned by point C
\(\textit{internal division of a line segment using ratios} \\\\\\ A(1,4)\qquad B(6,14)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:3} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(1,4)=2(6,14)\)
\((\stackrel{x}{3}~~,~~ \stackrel{y}{12})=(\stackrel{x}{12}~~,~~ \stackrel{y}{28}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{3 +12}}{2+3}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{12 +28}}{2+3} \right)} \\\\\\ C=\left( \cfrac{ 15 }{ 5 }~~,~~\cfrac{ 40}{ 5 } \right)\implies C=(3~~,~~8)\)
I took a picture of the question
The transformation in the picture is option c Reflection.
Given,
Reflection transformation:
A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.
According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.
Here,
In the picture the transformation is reflection.
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Milkayla withdraws 20 on 4 different
Answer:
20 times 4 = 20
Step-by-step explanation:
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What could be the possible output if the function rule is " side x side"?