Solve algebraically the simultaneous equations
y = 2x2 – 3x - 10
2x - y = -2
Answer:
(-3/2, -1) and (4, 10)
Step-by-step explanation:
Given the simultaneous equations
y = 2x^2 – 3x - 10 ... 1
2x - y = -2 .... 2
From equation2;
-y = -2-2x
y = 2x+2 ..... 3
Substitute 3 into 1
Recall y = 2x^2 – 3x - 10
2x+2 = 2x^2 – 3x - 10
Collect like terms
2x^2 – 3x - 10 - 2x -2 = 0
2x^2 – 5x - 12 = 0
2x^2 – 8x+3x - 12 = 0
2x(x-4)+3(x-4) = 0
(2x+3)(x-4) = 0
2x+3 = 0 and x-4 = 0
2x = -3 and x = 4
x = -3/2 and x = 4
Recall that
y = 2x+2
when x = -3/2
y = 2(-3/2) + 2
y = -3+2
y = -1
when x = 4
y = 2(4)+2
y = 8+2
y = 10
Hence the solutions are (-3/2, -1) and (4, 10)
Halona walks 1.93 kilometers to a neighbor’s house in 23 minutes. Assuming she walks at a constant speed, write a proportion that represents how many kilometers, y, Halona can walk in x minutes. Then solve your proportion for y.
HELPPPPP
Answer:
y = x(0.083913)
Step-by-step explanation:
easy
hey timmy
what is sum 5x7 equal up
The stock of Company A lost $1.18 throughout the day and ended at a value of
$28.32. By what percentage did the stock decline?
Answer:
the percentage did the stock decline is 4%
Step-by-step explanation:
The computation of the percentage did the stock decline as follows:
= Lost value ÷ original price
= $1.18 ÷ ($1.18 + $28.32)
= $1.18 ÷ $29.50
= 4% decline
Hence, the percentage did the stock decline is 4%
6x + 9 = 27
what is x?
Sarah has some chocolates.
24 are white chocolate.
16 are milk chocolate.
8 are dark chocolate.
Write down the ratio of white chocolate to dark chocolate. Give your ratio in it’s simplest form.
Explain, with details, why |−10|>|3|. Plz help tell why 10 is bigger than three 15 point
Answer:
|-10| is bigger than |3| because when taking the absolute value (the vertical line) of a number, you are counting how far away from 0 it is meaning that both 10 and -10 are 10 spaces away from 0. The negative doesn't matter.
John and his family are moving to a new house. He must pack items from his room into rectangular prism boxes that have a volume of 3r+ 9x + 6 ft. He knows the height of the box is 3 feet. In terms of x, what are the other dimensions of the box?
Find the value of x.
56°
57°
85
2x
4x
Answer:
56
Step-by-step explanation:
Simplifying
x + 7x = 56 + 8
Combine like terms: x + 7x = 8x
8x = 56 + 8
Combine like terms: 56 + 8 = 64
8x = 64
Solving
8x = 64
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '8'.
x = 8
Simplifying
x = 8
Delia went to the market to buy 4 pounds of sliced fruit in a container. She paid with a $20 bill and a $5 bill and received $3.67 as change. She paid $1.29 in taxes for the fruit. What was the cost for one pound of sliced fruit before taxes?
Answer:
$4.57. Hope this helps :)
Step-by-step explanation:
20+5=25
then you do
25-3.67= $21.33
you then divide that by the number of pounds she bought.
21.33/4= 5.3325
round that to the hundreths place and you get $5.33
so she paid $5.33 for a pound
Answer:
$4.74 per pound
Step-by-step explanation:
((20 + 5) – 3.67) / 4.5 = (25 – 3.67) / 4.5 =
(21.33) / 4.5 = 4.74
_______________________________
I've seen this same problem before, it should be 4.5 pounds.
Help I need help please help I need help
Answer: 2 ribbons can be cut
Since 3/4 divided by 1/3 = 2.25, therefore you can make 2 full sized ribbons. He will have 3/4 of a ribbon left.
helpppppp plz answer
Answer:D 1017
Step-by-step explanation:
in which quadrant is the orderd pair (2,-5)
Answer:
4
(+, -) coordinates
Help plsssssssssssss????
Answer:
y=2/3+11
Step-by-step explanation:
please explain for me how to do this
if the measure of arc WZX is 262 what is the measure of angle XWY?
Answer:
Hey we go to the same schoola and have the same class so thats cool. Also i think it might be the reverse of what we did on question five where we divide the measure of the arc by two instead of multiplying the angle by two to get the arc. If this is true then our answer will be 49*
Step-by-step explanation:
Helpp pleaseee ): !!!
Given the following 30-60-90 triangle , find the value of x and y Round to the nearest tenth x = 5.2 X = 6 Y = 6 Y = 5.2
Step-by-step explanation:
tan30° = Opposite/Adjacent = 3/x.
=> 3/x = √3/3, x = 3√3 = 5.2.
sin30° = Opposite/Hypotenuse = 3/y.
=> 3/y = 1/2, y = 6.
The correct answer is the 1st and 3rd options.
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: x = 5.2 \atop\sf y = 6}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASgiven:[tex] \theta = {30}^{o} [/tex]opp:3to find:adjacent (x)hypotenuse (y)tips and formulas:[tex] \tan( {30}^{o} ) = \frac{ \sqrt{3} }{3} [/tex]tan(a)=opp/adjsin(a)=opp/hypo[tex] \sin( {30}^{o} ) = \frac{1}{2} [/tex]let's solve:according to the question
[tex] \tan( {30}^{o} ) = \frac{3}{x} [/tex]
[tex] \frac{ \sqrt{3} }{3} = \frac{3}{x} \\ x\sqrt{3} = 9 \\ x = \frac{9}{ \sqrt{3} } \\ x = 3\sqrt{3} \\ x = 5.2[/tex]
according to the question
[tex] \sin( {30}^{o} ) = \frac{3}{y} [/tex]
[tex] \frac{1}{2} = \frac{3}{y} [/tex]
[tex]y = 6[/tex]
Markel bought 10 cups, 5 plates, 2 bowls at the store. The cups cost $1.25 a piece. The plates cost $2.75 a piece. The bowls cost $1.00 a piece. if he already paid $14, how much does he need to pay ?
Answer:
he needs to play 14.25
Step-by-step explanation:
Find the value of x. Give your answer in simplest radical form and show your work.
what is 1+1= ? and how do you do it? also what is the pendas mean?
Answer:
2, PEMDAS means parentheses, exponents, multiplication, division, addition, and subtraction.
Step-by-step explanation:
Help plz major test
Ps the last says
“no; it is not a reflection
Answer:
A reflection over line F
Step-by-step explanation:
I don't know the last answer, but I think that this is correct.
determinar la magnitud del peso de una persona cuya masa es de 90kg
Creo que la respuesta es 880.2N. Para calcular el peso se utiliza la siguiente fórmula (m×g) (masa multiplicada por la gravedad). El valor de aceleración de la gravedad en la tierra es de 9.78m/s². Por lo que la operación final sería 90×9.78= 880.2Newtons
The area of a rectangle is 300 ft2. The width of the rectangle is 8 ft less
than the length. What are the dimensions of the rectangle?
Answer:
Step-by-step explanation:
Factor x2 +8x +16, so (x+4)2 = 100
Mrs. Adele is buying a new tie from Macy's. It says
the tie costs $15.00 but there is a sign above it that
says 25% off. How much will the tie cost?
Answer:
$11.25
Step-by-step explanation:
You take the original cost and multiply it by 0.25 for 25%. You get 3.75. Then you subtract 3.75 from 15.00. The answer is $11.25
Use the GCF (Greatest common factor) to factor the expression 2x2 + 8x
Answer:
2x
Step-by-step explanation:
Answer:
2x (x + 4)
Step-by-step explanation:
Amy has 4 pounds of ground pork to make meatballs. She uses 5/8 pound per meatball to make 6 meatballs. How many 1/8 -pound meatballs can amy make with the remaining ?
IF CORRECT I WILL GIVE BRAINLY I NEED HELP ASAP
An algebra configuration where the largest tile is labeled negative x squared, 3 tiles are labeled plus x, where each tile is half the size of the largest tile, and 4 tiles labeled minus that are one-quarter the size of the largest tile.
Which polynomial represents the algebra tile configuration shown?
x2 + 3x + 4
x2 + 3x − 4x
−x2 − 7
−x2 + 3x − 4
Answer:
D
Step-by-step explanation:
I got it right on the assignment
How many factors does (2x + 4)(x - 3)(7x - 5) have?
Answer:
3
Step-by-step explanation:
(2x + 4)(x - 3)(7x - 5)
The factors are the terms inside the parentheses
2x+4 is a factor
x-3 is a factor
7x-5 is a factor
I didn't get it :( so help me
Answer:
[tex]\huge\red{\boxed{\blue{\boxed{\green{\boxed{13\: feet}}}}}}[/tex]Step-by-step explanation:
to understand this:you need to know about:quadratic equationsolving quadraticsPEMDAStips and formulas:area of rectangle=l×wlet's solve:[tex]step - 1 : define[/tex]
[tex](x + 8)( x + 13) = 234[/tex]
[tex]step - 2 : slove[/tex]
[tex] \text{simplify} : \\ x ^{2} + 21x + 104 = 234 [/tex][tex] \text{cancel \:234 \: from \: both \: sides} : \\ {x}^{2} + 21x + 104 - 234 = 234 - 234 \\ {x}^{2} + 21x - 130 = 0[/tex][tex] \text{rewrite \: 21x} : \\ {x}^{2} + 26x - 5x + 130 = 0[/tex][tex] \text{factor\: out \: x} \: and \: - \text{5 \: respectively}: \\ {x}(x + 26) - 5(x + 26) = 0 [/tex][tex] \text{factor \: out \: x - 5} : \\ (x - 5)(x + 26) = 0[/tex][tex] x_{1} = 5 \\ x_{2} = - 26[/tex][tex] \therefore \: x = 5 \\ and \: the\: lenth \: of \: the \: rectangle \: is \: 5 + 8 = 13[/tex]
what is [tex]\sqrt{44mx^{3} n^{11}[/tex] simplified