Answer:
D. (-1, -3)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=x^2-4&(1)\\y=-2x-5&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\x^2-4=-2x-5\qquad\text{add}\ 2x\ \text{and 5 to both sides}\\\\x^2+2x+1=0\\\\x^2+x+x+1=0\\\\x(x+1)+1(x+1)=0\\\\(x+1)(x+1)=0\\\\(x+1)^2=0\iff x+1=0\qquad\text{subtract 1 from both sides}\\\\x=-1\\\\\text{put the value of}\ x\ \text{to}\ (2):\\\\y=-2(-1)-5\\\\y=2-5\\\\y=-3[/tex]
Answer: Hello there!
The system of equation given is:
y = x^2-4
y = -2x-5
And we want to solve this system:
the first step we can do is replace y in the first equation by the given in the second equation:
y = x^2-4 = -2x - 5
now we can solve it for x:
x^2-4 +2x + 5 = 0
x^2 +2x + 1 = 0
and now we can use the cuadratic equation forumla:
this is, if we have a function of the form:
ax^2 + bx + c = 0
the solutions are:
[tex]x = \frac{-b +/- \sqrt{b^2 -4ac} }{2a}[/tex]
in our equation we have a=1, b = 2 and c= 1
we replace it in the formula given, and we obtain:
[tex]x = \frac{-2 +/- \sqrt{2^2 -4*(1)} }{2} = \frac{-2 +/- \sqrt{4 - 4} }{2} = -2/2 = -1[/tex]
Now we got the value of x, and we could replace it in one of the equations and get the value of y:
y = -2x-5
y = -2*(-1) - 5 = 2 -5 = -3
then the pair is (-1, -3)
and the correct option is D.
Find the quotient.
48j 5 k 2 ÷ (-3j 3 k)
A) -16j2k
B) -16j3k2
C) -16j3k
For this case we must find the quotient of the following expression:
[tex]\frac {48 * j ^ 5 * k ^ 2} {- 3 * j ^ 3 * k} =[/tex]
We have to:
[tex]\frac {48} {- 3} = - 16[/tex]
By definition of power properties we have:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
So so:
[tex]\frac {48 * j ^ 5 * k ^ 2} {- 3 * j ^ 3 * k} = - 16 * j ^ {5-3} * k^{2-1}=-16*j^2*k[/tex]
Answer:
Option A
Which of these quadrilaterals can always be classified as a rhombus?
A) kite
B) rectangle
C) square
D) trapezoid
Answer: D) Trapezoid
Step-by-step explanation:
D is the correct answer
Combine like terms to simplify the following expression: 12x + 4y – 3x + 2 – 8y2 + 32
Answer: The answer is 9x-8y²+4y+34
Step-by-step explanation: Since the equation is 12x+4y-3x+2-8y^2 + 32
1. combine like terms so- combine 12x-3x= 89x
2. look for other like terms- 2+32= 34
3. since 8y^2 and 4y are not the same you can combine them
4. put them all together- 9x-8y^2+4y+3
That's you answer. Hope this helped
F(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. what is f(x)-g(x)?
Show all of your steps and write your finial answer in factored form.
Answer: 4x^3+2x^2-12x+8
I am sorry it takes to long to type in the equation of this problem step by step. I only can just give you an answer.
Find the product (7 lbs 12 oz) x 3
i think the answer is 23.25 pounds
Answer to this please ?
Answer:
x=0
Step-by-step explanation:
a vertical line is x= whatever the x-term is
-1 3/5 divided by (-2/3)
thx
Answer:iuhihi
Step-by-step explanation:
nvjfuy
which linear inequality is represented by the graph?
Answer:
B. y > 3x + 2
Hope it helps :)
Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework? (x + 30 + 60) = x (x) = x(30 + 60) x(30 + 60) = x (x) = (30 + 60)
Answer:
x(x)=1/4(30+60+x)
Step-by-step explanation:
minutes spent on math homework= x
minutes spent on history homework= 30 min
minutes spent on English homework= 60 min
Total minutes spent on homework = x+30 +60
Also
x= 1/4(x+30 +60)
x= x/4 + 90/4
x-x/4= 90/4
(4x-x)/4=90/4
3x=90
x=30
Hence time spent on maths=30 min
total time spent= 30+60+30
= 120 min
1/4 of 120 min= 30 mins!
Answer:
A. 1/4(x + 30 + 60) = x
Step-by-step explanation:
Arnoldo needs to write this system in slope-intercept form. Which shows how he could do that? 3x-2y=6 0.4(2oy+15)=x
Answer with explanation:
→The equation of line which we have to write in slope intercept form is:
3 x -2 y=6
The equation of line in slope Intercept form is given as:
y = m x +c
Where, m=Slope of line
c=Y- intercept
Slope Intercept form of line can be as follows :
[tex]\Rightarrow 3 x-2 y=6\\\\\Rightarrow \text{Adding 2y on both sides}\\\\\Rightarrow 3 x-2 y+2 y=2 y+6\\\\\Rightarrow 3 x= 2 y+6\\\\\text{Dividing both sides by 3}\\\\\Rightarrow x=\frac{2y}{3}+\frac{6}{3}\\\\\Rightarrow x=\frac{2y}{3}+2[/tex]
Answer:
y = three-halves x minus 3
y = one-eighth x minus three-fourths
Step-by-step explanation:
PLEASE SOMEBODY HELP ME IVE BEEN ASKING FOR HOURS!!!
Answer:
i think its 4
Step-by-step explanation:
Answer:
2.45
Step-by-step explanation:
The expected value is the sum of the points times the probability.
The expected number of points from a touchdown is:
E = 7×0.35 + 0×0.65
E = 2.45
which of the following is equivalent to the expression below?
(-3m+5)+(m-11)
A. 4m-16
B.-4m-6
C. 2m-16
D. -2m-6
Answer:
D
Step-by-step explanation:
add -3m + 1m = -2m
add 5 -11= -6
combine like terms
1. What ratio is equal to pi?
Answer:
355/113
Step-by-step explanation:
But as you can see, 22/7 is not exactly right. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number. A really good approximation, better than 1 part in 10 million, is: 355/113 = 3.1415929...
Answer: A really good approximation, better than 1 part in 10 million, is: 355/113 = 3.1415929...
Step-by-step explanation: As you can see, 22/7 is not exactly right. In fact π is not equal to the ratio of any two numbers, which makes it an irrational number. So, therefore, the ratio that is equal to pi is 355/113 = 3.1415929...
PLEASE HELP ME!!!!
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
Which of the following options is closest to the distance (in miles) between points A and B?
2.24 miles
2.65 miles
3.74 miles
5.29 miles
Answer:
AB² = VAC²-BC²
= V8²-6²
= V64-36 = V28
AB = V7×4 = 2V7 = 5.29
What is the probability of flipping a coin 75 times and getting tails 40 times or fewer? Round your answer to the nearest tenth of a percent.
A. 5.3%
B. 99.7%
C. 32.2%
D. 75.6%
Answer:D
Step-by-step explanation:
What is the area of triangle PQR? Round to the nearest tenth of a square unit
Answer:
b
Step-by-step explanation:
Answer:13.5 A
Step-by-step explanation:
edge
what is this simplified?
The answer is:
The second option: 2
[tex]\sqrt[4]{81}=3[/tex]
Why?We can solve the problem and find the simplified expression using the following root property:
[tex]\sqrt[n]{x^{m} }=x^{\frac{m}{n} }[/tex]
We are given the expression:
[tex]\sqrt[4]{81}[/tex]
Which can be rewrite like this:
[tex]\sqrt[4]{81}=\sqrt[4]{3^{4}}[/tex]
Now, simplifying we have:
[tex]\sqrt[4]{3^{4}}=3^{\frac{4}{4} }=3[/tex]
Hence, the answer is the second option:
[tex]\sqrt[4]{81}=3[/tex]
Have a nice day!
Answer:
The correct answer is second option
3
Step-by-step explanation:
From the attached question we can see that,
⁴√81
To find the correct option
We know that 3⁴ = 81
⁴√81 can be written as,
⁴√81 = ⁴√(3 * 3 * 3 * 3)
= ⁴√(3)⁴
= 3
Therefore the answer is 3
The correct option is second option. 3
What is the radius of a circle with an area of 50.24 square inches?
Use 3.14 for pi.
Enter your answer in the box.
Answer:
4
Step-by-step explanation:
what is the solution of x-4 +5=2
[tex]
x-4+5=2 \\
x+5=6 \\
\boxed{x=1}
[/tex]
Hope this helps.
r3t40
What is the surface area of the pyramid
224ft
460ft
112 ft
336ft
The surface area of the pyramid is 160ft^2
Explanation:To find the surface area of a pyramid, we need to calculate the sum of the areas of all its faces. A pyramid has 4 triangular faces and 1 square base. The formula for the surface area of a pyramid is: Surface Area = Base Area + (0.5 × Perimeter of Base × Slant Height). In this case, the base side of the pyramid is 8ft and the slant height is 6ft.
First, we calculate the perimeter of the square base, which is 4 times the length of the base side: Perimeter = 4 × 8ft = 32ft.
The base area of the pyramid is found by squaring the length of one side of the base: Base Area = (8ft)^2 = 64ft^2.
Now we can substitute the values into the formula: Surface Area = 64ft^2 + (0.5 × 32ft × 6ft) = 64ft^2 + 96ft^2 = 160ft^2.
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The surface area of a pyramid with an 8 ft side length and a 10 ft slant height is 224 square ft. Hence, option A is correct.
To find the surface area of a pyramid with a square base, we need to calculate both the base area and the lateral surface area.
The side length of the square base is 8 ft, so the base area is:
Base Area = side × side = 8 ft × 8 ft = 64 square ftThe slant height of the pyramid is 10 ft, and the side length of the base is 8 ft. Each triangular face of the pyramid has a height (slant height) and base equal to the side of the square base. The area of one triangular face is:
Area of one triangle = 1/2 × base × slant height = 1/2 × 8 ft × 10 ft = 40 square ftSince a square-based pyramid has 4 triangular faces, the total lateral surface area is:
Lateral Surface Area = 4 × Area of one triangle = 4 × 40 square ft = 160 square ftAdding the base area and the lateral surface area gives the total surface area:
Total Surface Area = Base Area + Lateral Surface Area = 64 square ft + 160 square ft = 224 square ftTherefore, the total surface area of the pyramid is (Option A) 224 square ft.
Complete Question:
What is the surface area of the pyramid with slant height 10 ft and base 8 ft ?
A. 224ft
B. 460ft
C. 112 ft
D. 336ft
(1.8•10^1)(7•10^5) looking for answer please
Answer:
1.26 x [tex]10^{7}[/tex]
Step-by-step explanation:
The recursive rule for a sequence is a^n=a^(n-1)+7,where a^1=-15. What is the explicit rule for this sequence?
ANSWER
[tex]a_n=7n - 22[/tex]
EXPLANATION
The recursive rule for the sequence is
[tex]a_n=a_{n-1}+7[/tex]
In general the recursive rule is written as:
[tex]a_n=a_{n-1}+d[/tex]
This implies that, d=7
The first term of the sequence is
[tex]a_1= - 15[/tex]
The explicit rule is given by:
[tex]a_n=a_1 + d(n - 1)[/tex]
We substitute to get;
[tex]a_n= - 15 + 7(n - 1)[/tex]
[tex]a_n= - 15 + 7n - 7[/tex]
[tex]a_n=7n - 22[/tex]
25 points!!! In the graph below, line k, y=-x makes a 45° angle with the x- and y-axis.
Complete the following:
R sub k open circle R sub X : (2, 5)
(-5, -2)
(-5, 2)
(5, -2)
Please include the explanation for this thank you!
Step-by-step explanation:
First, reflect over line k:
(2, 5) → (-5, -2)
Then, reflect over the x-axis:
(-5, -2) → (-5, 2)
A machine caps bottle at the rate of 140 bottles per minute. How long would it take the machine to cap 200 bottles?
Answer:
1 minute and about 26 seconds
Can you mark me the brainliest??
in this diagram below de is parallel to xy.what is the value of y
Answer:
B. 75°
Step-by-step explanation:
When lines that are parallel are crossed by a transversal , angles in matching corners are equal and called corresponding angles
To get the value of the angle;
180°-105°= 75°.................sum of angles on a straight line
This angle corresponds to angle y because of the parallel lines DE and XY
The function f(x) = 50(0.952)x, where x is the time in years, models a declining feral cat population. How many feral cats will there be in 9 years?
a) about 428 feral cats
b) about 42 feral cats
c) about 51 feral cats
d) about 459 feral cats
I need the answer along with an explanation so that I can know how to solve the other problems on my own :) :) :)
Answer:
A)
Step-by-step explanation:
Since we are given the function, we can simply plug in the x as 9. So we get 50(0.952)9. Solving this, we get 450(.952) and this is about 428. SO our answer is a) about 428 feral cats.
There will be 428 feral cats in 9 years.
How to find the value of something when a function is given?We can substitute the given number in the function to find the required value here, years are represented by x. Therefore, we must substitute the value of x = 9 in the function to find the population of feral cats in 9 years.
We can find the population as follows:The function is given as:
f(x) = 50(0.952)x.
We have to find the number of feral cats in 9 years. Therefore, the value of x is 9.
Now, we can substitute the value of x in the function. This can be done as follows:
f(x) = 50(0.952)x
f(9) = 50(0.952)*9
f(9) = 50(8.568)
f(9) = 428.4
f(9) ≈ 428
We have found the number of feral cats in 9 years. The number of feral cats that will be alive after 9 years is found to be 428.
Therefore, we have found that there will be 428 feral cats in 9 years. The correct answer is option A.
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What is the axis of symmetry for the graph of y - 4x = 7 – x2?
O x= 2
Oy=2
O x= 11
Oy= 11
Answer:
x = 2 is the axis of symmetry
Step-by-step explanation:
y - 4x = 7 – x2?
y = -x²+4x +7
y = - ((x²- 4x+4)-4)+7
y = - (x-2)²+11 ..... is the the parabola's equation when : x = 2 is the axis of symmetry
The axis of symmetry for the graph of y - 4x = 7 – x² is x= 2.
What is axis of Symmetry?The axis of symmetry is a hypothetical straight line that divides a shape into two identical sections, resulting in one component being the mirror image of the other. When folded along the axis of the symmetry, the two portions get overlaid. The straight line is also known as the line of symmetry/mirror line.
The axis of symmetry is a straight line that makes an object's shape symmetrical. The axis of symmetry produces identical reflections on all four sides. It might be horizontal, vertical, or lateral in orientation.
We have the Equation:
y - 4x = 7 – x²
Now, arranging the equation as
y = -x²+4x +7
y = - ((x²- 4x+4)-4)+7
Now, using the algebraic Identity
(a -b)² = a² - 2ab + b²
So, the equation can be written as
y = - (x-2)²+11
This is in the parabola's equation.
Thus, the axis of symmetry is x= 2.
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match each complex number with its equivalent expression
i^223 = -i
i^82 = -1
i^113 = i
i^48 = 1
Match each complex number with its equivalent by using the complex plane, polar coordinates, complex conjugates, and Euler's equation.
Explanation:Matching each complex number with its equivalent expression involves understanding the complex plane, complex conjugates, and Euler's formula. A complex number z is represented by z = a + ib, where a is the real part and b is the imaginary part. Converting this to polar form involves finding the magnitude r and the angle θ, where r = (a² + b²)½ and θ = tan⁻¹(b/a). Euler's formula, z = r exp(iθ), can be used to express the complex number in terms of its magnitude and angle: z = r cos(θ) + ir sin(θ). The complex conjugate of z is z* = a - ib, and it is found by changing the sign of the imaginary part.
Hurry help quick please!
Look at the figure. Find the value of x.
Step-by-step explanation:
5x-30=3x
5x-3x=30
2x=30
Divide by 2 for 2x and 30
x=15
Check answer subsituition method:
5x-30=3x
5(15)-30=3(15)
75-30=45
45=45
Answer: x=15 ( choice 3)
Consecutive angles in a parallelogram are?
Hello There!
Consecutive Angles In Parallelograms Are "Supplementary"
"Supplementary Angles" Are Angles That Have A Sum of 180 Degrees
Answer:
Step-by-step explanation:
Are "Supplementary