Answer:
(0, -2) and (1, 0)
Step-by-step explanation:
y = x² + x - 2 and y = 2x - 2
y = x² + x - 2 ⇔ do not change; y = x² + x - 2
y = 2x - 2 ⇔ multiply by -1 ; -y = - 2x + 2
Now add the two equations:
y = x² + x - 2
(+) -y = - 2x + 2
0 = x² - 2x + x + 0
0 = x² - x
0 = x (x - 1) Factor out x
0 = x; 0 = x - 1 Set each factor = to 0 and solve.
x = 0; x = 1
Substitution the value of x into both equations and solve for y
If x = 0 If x = 1
y = (0)² + 0 - 2 ; y = 2(0) - 2 y = 1² + 1 - 2 ; y = 2(1) -2
y = 0 +0 -2 ; y = 0 - 2 y = 1 + 1 -2 ; y = 2 - 2
y = -2 ; y = -2 y = 0 ; y = 0
Solutions to the question: (0, -2) and (1, 0)
PLEASE ILL GIVE YOU BRAINLIEST!
Solve `x^{2}-36=0`
Which solution method would be most efficient?
-Factoring
-Taking the square root
-Quadratic Formula
Show your work!
Answer:
Taking the square root
Step-by-step explanation:
[tex]x^2-36=0[/tex]
[tex]x^2=36[/tex]
[tex]x=\pm6[/tex]
Alternatively, you can use a difference of squares to factor and solve:
[tex]x^2-36=0\\(x+6)(x-6)=0\\x=-6,x=6[/tex]
neeeeeeeeeeeeeeeeeeeeeeeeeeed answer
Answer:
B
Step-by-step explanation:
3t+6=9 or -9
1. 3t+6=9
3t=9-6=3
t=3/3-=1
2. 3t+6=-9
3t=-9-6=-15
t=-15/3=-5
t=1, -5
Answer:
B {-5, 1}
Step-by-step explanation:
Separate into possible cases
3t + 6 = 9
3t + 6 = -9
Solve the equations
t = 1
3t + 6 = -9
The equation has 2 solutions
t = -5
t = 1
Please help quick, brainly crown will be given when I have the option
Answer:
56
Step-by-step explanation:
just multiply 8 by 7. to check do 56 divided by 7 which equals 8.
Answer:
P=56
Step-by-step explanation:
Multiply both sides by 7 &p/7=8x7
Simplify P=56
The table lists how poverty level income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the poverty level cutoff in 1987 to the nearest dollar.
The poverty level cutoff in 1987 to the nearest dollar was $10787.
How to find a midpoint?The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: [tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex].
For solving this exercise, first you need plot the points in a chart. See the image.
Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).
[tex]\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\[/tex]
[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)[/tex]
[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)[/tex]
The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar was $10787.
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Can someone please help me with this thanks
Answer:
24 (units)
Step-by-step explanation:
Because Quadrilateral EFGH is being dilated by a scale factor of 3/4, this means that each side of E'F'G'H' gets multiplied by 3/4. In this case, we are going to divide by 3/4 to return to the original figure (or multiply by 4/3 since that is the reciprocal)
This means that side HE is 18/(3/4) = 18(4/3) = 72/3 = 24 units
Which expression is equivalent to
5x – 30?
-
A 5(x - 30)
B 5(x - 6)
© 5x(x – 6)
D x(5 – 30)
At Mead Middle school there are 125 6th graders. 60% of these 6th graders are in pre-athletics. How many 6th graders are NOT in pre-athletics?
4. Which of the following is a geometric sequence?
O 3,6,9, 12,...
50,25,0, -25,...
011, 15, 19, 23, ...
4,-16,64, -256,...
HELP PLSS
Answer: Choice D
Explanation:
We can verify this by noticing the ratio between adjacent terms is the same
term2/term1 = -16/4 = -4term3/term2 = 64/(-16) = -4term4/term3 = -256/64 = -4The common ratio is -4. Each time we need a new term, multiply the previous term by -4. Example: -16*(-4) = 64.
Given that AB is a line segment and the angle y= 133, work out the value of the angle marked T. A B
Step-by-step explanation:
if seven times a number decreased by 4 is less than 27,then find the solution set
Help pls. I will mark brainliest to the correct answer:)
Answer:
-2
Step-by-step explanation:
p = -2.5
r = 0.5
p + r =
-2.5 + 0.5 =
-2
Answer:
-1
Step by step explanation
Suzy bought a 20 ounce
soda for $1.50, Jacob
bought a 1 liter bottle of
soda for $2.50. Who got the
best deal per ounce?
Answer:
Suzy got the best deal per once
Step-by-step explanation:
A movie, including the previews, is 2 hours and 40 minutes long. If the previews last 20 minutes. What fraction of the total time is the actual movie?
Considering the definition of fraction, the fraction of the total time is the actual movie is [tex]\frac{7}{8}[/tex].
What is fractionThe fraction is an expression that marks a division, therefore, it can be said that a fraction represents a distribution or a portion of a unit.
In other words, a fraction is a representation of the parts of a whole, that is, it is divided into equal parts and each part is the fraction of the whole.
Fractions are composed of an upper term called the numerator and a lower term known as the denominator separated by an oblique or horizontal bar.
Fraction of the total time that is the actual movieIn this case, you know:
A movie, including the previews, is 2 hours and 40 minutes long. The previews last 20 minutes.So, the movie is 2 hours and 20 minutes long. (2 hours and 40 minutes - 20 minutes [the previews])
Knowing that 1 hour contains 60 minutes, then:
A movie, including the previews, is 160 minutes long. The previews last 20 minutes.So, the movie is 140 minutes long.Then, the fraction of the total time is the actual movie is:
[tex]\frac{140 minutes}{160 minutes}[/tex]
To simplify a fraction is to transform it into a simpler equivalent fraction. To simplify a fraction, we divide the numerator and denominator by the same number.
Finally, simplifying, the fraction of the total time is the actual movie is [tex]\frac{7}{8}[/tex].
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Please help and I will give you brainliest 5 stars and a thank you on answer and profile just please help
Answer:
#1 D. 360
#2 54
#3 D. 252
Step-by-step explanation:
1. What is the area of the wall that surrounds the garage door?
Notice that the wall can be broken into two parts, a parallelogram and a triangle. The triangle's base would be 30 - 18 (as it is stated that the parallelogram's length is 18), while the height is shared with the rectangle's width, which is 12:
Area of triangle = 1/2bh
b = 12
h = 12
Area of triangle = (12 * 12)/2 = (144)/2 = 72 ft²
Area of parallelogram = bh
b = 18
h = 12
Area of parallelogram = (18 x 12) = 216 ft²
216 + 72 = 288 ft²
Next, find the amount missing because of the garage door. It is given that the door's area can be found by multiplying the length and side (both 9ft). Subtract the gotten number from the total amount:
Area of parallelogram = bh
b = 9
h = 9
9 x 9 = 81 ft²
288 - 81 = 207 ft²
A) 207 ft²
~
First, note that there are two full rows in the bottom. This can be made into the rectangle. The rest would be solved using the triangle formula. Add the two results together at the end to get your total units.
Rectangle:
base = 9 units
height = 2 units
Area of Rectangle = base x height
= 9 x 2
= 18 units²
Triangle:
base = 9 units
height = 4 units
Area of Triangle = (base x height)/2
= (9 x 4)/2
= (36)/2
= 18 units²
Add the two areas together for your total units²:
18 + 18 = 36 units²
36 units²
~
The "base" of the triangle is 3 ft greater than the height of the triangle. The given height is that it is 12 ft. This means that the base is 15 ft.
Use a² + b² = c² to solve for the sides:
c = hypotenuse = 21 ft
b = base = 15 ft
c² - b² = a²
21² - 15² = a²
(441) - (225) = a²
a² = 216
√a² = √216
a = √216 = 6√6
~
I am not too sure if there is actual enough information that can be used to solve for this triangle. I understand that you will need the answers soon, so I will try to work on it and edit my answer later on. In my opinion, they would need to give at least one more measurement or information regarding which side is which to be able to obtain the answer. If i had to guess, I would guess as well the largest one, considering the 12 ft and 21 ft. Again, they will need to define "b", as well as what the "base" & "height" would be.
PLEASEE HELP ME WITH THIS……..
Answer:
KM/KL = HJ/HI
Step-by-step explanation:
Triangle JIH is similar to MLK due to Angle-Angle similarity. So, KM/KL = HJ/HI
A sculptor creates an arch in the shape of a parabola. When sketched onto a coordinate grid, the function f(x) = –2(x)(x – 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x. What is the height of the arch, measured 3 inches from the left side of the arch? 14 inches 15 inches 28 inches 30 inches.
The height of the arch, measured 3 inches from the left side of the arch is 30 inches.
Given
A sculptor creates an arch in the shape of a parabola.
When sketched onto a coordinate grid, the function f(x) = –2(x)(x – 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x.
What is a parabola?The path of a projectile under the influence of gravity follows a curve of this shape.
Therefore,
The height of the arch, measured 3 inches from the left side of the arch is;
[tex]\rm f(x) = -2(x)(x - 8)\\\\f(3) = -2(3)(3-8)\\\\f(-3)=(-6)(-5)\\\\f(-3)=30[/tex]
Hence, the height of the arch, measured 3 inches from the left side of the arch is 30 inches.
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Answer:30 inches
Step-by-step explanation:
just took test
NEED HELP ASAP!!!!
John left some delicious food in the corner of the classroom on Tuesday. On Wednesday, there were 15 ants eating the food. On Thursday there were 19 ants eating the food. Assuming the increase in ants is arithmetic, how many ants will be eating the food on Sunday of that same week?
Answer:
31
Step-by-step explanation:
Add 4 for every day there after. 15+4=19; 19 +4=23 and so on.
Write h(x) = 7 10x x2 in vertex form. Write h in standard form. H(x) = x2 10x 7 Form a perfect square trinomial by adding and subtracting StartFraction b Over 2 EndFraction squared. H(x) = (x2 10x 25) 7 – 25 Write the trinomial as a binomial squared. Write the function in vertex form, if needed. What is h(x) = 7 10x x2 written in vertex form? h(x) = (x – 25)2 – 18 h(x) = (x – 5)2 32 h(x) = (x 5)2 – 18 h(x) = (x 25)2 32.
You can use the definition for the vertex form of a quadratic equation and then can can do conversion of that quadratic equation in that form.
The correct vertex form of the given equation is given by
Option C: [tex]h(x) = (x-5)^2 - 18[/tex]
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y = a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
This point is called the vertex of the parabola that quadratic equation represents.
How to convert the given equation to vertex form?We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.
The given equation is [tex]h(x) = 7 + 10x + x^2\\[/tex]
Converting it in vertex form, we get:
[tex]h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18 \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)[/tex]
Thus, we have h = -5 and k = -18
The plot of the given equation is attached below.
Thus,
The correct vertex form of the given equation is given by
Option C: [tex]h(x) = (x-5)^2 - 18[/tex]
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Answer:
c
Step-by-step explanation:
It costs 95$ for 20 students to visit an aquarium. How much does it cost for 162 students?
Answer:
769.50
Step-by-step explanation:
First find how much is one student
95/20=4.75
Then, 162 x 4.75=769.50
if we do 95/20 we get 4.25 that would be the cost for each student and all we have to do is multiply 162 by 4.25 and u get your answer of 688.5
Heeelllp I’m too stoopid 4 this
The length of a rectangle is 5 yd longer than its width.
If the perimeter of the rectangle is 42yd, find its area.
Answer:
8+8+13+13= 42yd
Length: 13
Width: 8
Multiplied equals:
104yd²Write an expression equivalent to
x^2+7x+6x
Answer:
x(x+13), or x^2+13x
Step-by-step explanation:
You factor one x out, or you can just add the x values.
:) There are 18 animals in the field. Some are horses and some are geese. There are 56 legs in all.
How many of each animal are in the field?
A jewelry salesperson earns 6 3/7% commission on all sales. Today sold $4570 in jewelry. What is total commission earned?
[tex]\stackrel{mixed}{6\frac{3}{7}}\implies \cfrac{6\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{45}{7}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\frac{45}{7}\textit{\% of 4570}}{\left( \cfrac{~~\frac{45}{7}~~}{100} \right)4570}\implies \left( \cfrac{45}{700} \right)4570~~ \approx~~293.79[/tex]
Do you understand?
A seven-foot frame
Rats along his back
When he calls your name
It all fades to black
Yeah, he sees your dreams
And feasts on your screams (hey!)
We don't talk about Bruno, no, no, no! (We don't talk about Bruno, no, no, no!)
We don't talk about Bruno (we don't talk about Bruno!)
Answer:
36/24 is greater than 9/6
Step-by-step explanation:
He told me my fish would die
The next day dead! (No, no!)
He told me I'd grow a gut!
And just like he said... (no, no!)
He said that all my hair would disappear, now look at my head (no, no! Hey!)
Your fate is sealed when your prophecy is read!
The ratios of the fraction [tex]\frac{9}{6}[/tex] and [tex]\frac{36}{24}[/tex] are compared and [tex]\frac{9}{6}=\frac{36}{24}[/tex].
Given data:
The first fraction is represented as p.
The value of [tex]p=\frac{9}{6}[/tex].
The second fraction is represented as q.
The value of [tex]q=\frac{36}{24}[/tex]
Now, multiplying the fraction p by [tex]\frac{4}{4}[/tex] :
[tex]p=\frac{9}{6}*\frac{4}{4}[/tex]
On simplifying the equation:
[tex]p=\frac{36}{24}[/tex]
So, the value of p = q.
Hence, the ratios are similar.
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Draw a model to show 12*6 show 6 in each group how many groups are there
Answer:
there would be 12 in each group or you could do 6 groups with 12 in them
finally, divide both sides of 15=5x by 5 what is the result???
Answer:
x = 3
Step-by-step explanation:
15 = 5x
15/5 = 5x/5
3 = x
x = 3
Examine the system of linear equations. –3x y = 2 2x 4y = –20 Which number could be multiplied by the first equation to eliminate the y when the equations are added together? -4 4 2 10.
Answer:
A - -4
Step-by-step
Answer:
The answer is A Or 4
Step-by-step explanation:
EDGE 2022
someone should help me please
Answer:
it is a
Step-by-step explanation:
I might not know but I guess the answer is D
Which of these numbers are greater than 3. 2 × 10-3? 2. 1 × 10-3 4. 2 × 10-4 5. 2 × 10-2 5. 2 × 10-1.
Answer:
your answer would be 4.2 x 10-4
Step-by-step explanation:
5z+2z^3+3z^4 in standard form
Answer:
= 3z4 - 2z2 -5z
Step-by-step explanation:
