Answer:
[tex]x = 4[/tex]
[tex]y = -5[/tex]
Step-by-step explanation:
Given
[tex]-10x^2+80x+y=155[/tex]
[tex]5x^2-40x+y=-85[/tex]
Required
Solve by substitution
Make y the subject in [tex]5x^2-40x+y=-85[/tex]
[tex]5x^2-40x+y=-85[/tex]
[tex]y = -5x^2 + 40x - 85[/tex]
Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation
[tex]-10x^2+80x+y=155[/tex]
[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]
Collect Like Terms
[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]
[tex]-15x^2 + 120x-240=0[/tex]
Divide through by -15
[tex]x^2 -8x + 16 = 0[/tex]
[tex]x^2 - 4x - 4x + 16 = 0[/tex]
[tex]x(x - 4) - 4(x - 4) = 0[/tex]
[tex](x - 4)(x - 4) = 0[/tex]
[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]
[tex]x = 4[/tex] or [tex]x = 4[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]
[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]
[tex]y = -5*16 + 40 * 4 - 85[/tex]
[tex]y = -80 + 160 - 85[/tex]
[tex]y = -5[/tex]
Using the order of operations, what should be done first to evaluate 12+(-6)(3)+(-2)?
Vx
O Divide 12 by 5.
O Multiply -6 and 3.
O Divide 12 by -6.
O Add 3 and -2.
Hurry pls
You need to multiply -6 and 3
There were 40 swimmers on the team last year. This year, there are 20 swimmers. What is the percent decrease?
i agree it should be 50%
Step-by-step explanation:
half of 40 is 20
Choose Yes or No to tell if 14.3 will make each equation true.
19.05 + □ = 33.35
□ + 32.62 = 45.92
62.01 – □ = 47.71
□ – 4.88 = 9.42
pls help in a rushhh will give points
Answer:
The answer is 120
Step-by-step explanation:
A triangle has 180 degrees in it total.
So all you have to do is 180 - 35 -25, and get your answer.
a hiker walks at a speed of 3 2/5 km per hour. how many km will he walk in 3/4 of an hour
Answer:
2.55
Step-by-step explanation:
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)
Answer:
The length of AD is 1 unit
Step-by-step explanation:
Let us solve the question
In Δ ABC
∵ ∠B is a right angle
∵ BD is perpendicular to the hypotenuse AC
∴ (AB)² = AD × AC ⇒ rule
∵ AB = 3 units
∵ AC = 9 units
∵ AD = x
→ Substitute them in the rule above
∴ (3)² = x × 9
∴ 9 = 9x
→ Divide both sides by 9
∵ [tex]\frac{9}{9}[/tex] = [tex]\frac{9x}{9}[/tex]
∴ 1 = x
∴ The length of AD is 1 unit
Find the radius of the base of a cylinder with a volume of 1357.17 cm3 if the height of the cylinder is twice the length of the radius.
Answer:
6cm
I hope it will be useful.
please help me on this , tyyy :]
9514 1404 393
Answer:
(a) 1, 2
(b) 4
Step-by-step explanation:
(a) 9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices
__
(b) 10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only
20 pts
The graph below shows the numbers of cups of mango juice that are mixed with different numbers of cups of lemon-lime soda to make servings of mango soda:
What is the ratio of the number of cups of mango juice to the number of cups of lemon-lime soda?
1:40
10:1
40:1
1:10
Answer:
It'a B. 10:1
Step-by-step explanation:
Karl needs to build a stage that has an area of 84 square feet. The length of the stage should be longer than the width. What are the possible whole number measurements for the length and width of the stage? Complete the table with possible measurements of the stage. Length Width 1 2 3 4 6 7
Answer/Step-by-step explanation:
84 = L x w
84 = 84 x 1
84 = 42 x 2
84 = 28 x 3
84 = 21 x 4
84 = 14 x 6
84 = 12 x 7
Answer:
below is the answer
Step-by-step explanation:
84 = L x w
84 = 84 x 1
84 = 42 x 2
84 = 28 x 3
84 = 21 x 4
84 = 14 x 6
84 = 12 x 7
answer to be marked as brainlist
Answer:
The SF is 3
Step-by-step explanation:
The sides are 3x the length of the sides of ∆ABC
Bir su deposunun 17/24 şu ile doludur depodaki suyun 80 litresi kullaninca deponun yarısı dolu oluyor buna göre deponun tamamı kaç litre su alir
Answer:
384 Litre
Step-by-step explanation:
Tankın alabileceği toplam su miktarı = x
(17/24) x - 80 Litre = 1 / 2x
Benzer terimleri toplayın
17 / 24x - 1 / 2x = 80 Litre
5 / 24x = 80 Litre
5x / 24 = 80 Litre
Çapraz Çarpma
5x = 80 Litre × 24
x = 80 Litre × 24/5
x = 384 Litre
Dolayısıyla tüm tankın alabileceği su miktarı 384 Litredir.
How could the numbers 2, 3, 4, and 5 be used to get 10?
es
1)
A
2(4) - 3 + 5
2 +3-4 + 5
5-2-3+ 4
B)
D)
5(3)- 2(4)
Answer:
2(4)-3+5
Step-by-step explanation:
8-3+5
13-3
10
Answer:
i would say a
Step-by-step explanation:
What is the value of x in the equation 8 + x = 3? (4 points) −5 5 11 24
Answer:
-5 is the correct answer
Answer:
-5
Step-by-step explanation:
PLZ HELP ASAP MARK BRAINLIEST VIEW PICTURE!!
Answer: The second option
Step-by-step explanation: 14mph times 5 equal 70. 5 hours after 6 am is 11 am. 70 divided by 20 is 3.5. 3.5 hours after 6 am is 9:30. Hence 9:30 to 11
Please help me please
1. Sharon used 3 cups of water with
every 2 cups of lemon juice to make
lemonade. Find the ratio of the amount
of lemon juice used to the amount
of water used
Answer:3:2 is the answer i am very sure
Step-by-step explanation:
which choice is equvalent to the expression below 5^9.96
a. 5^9 • 5^96/10 • 5^9/100
b. 5^9•5^9/10•5^6/100•5^9/1000
c. 5^9+5^9/10+6^6/100
d. 5^9+9/10+9/10+6/1000
Answer:
B
Step-by-step explanation:
5^9•5^9/10•5^6/100•5^9/1000 = 5^(9+0.9+0.06+0.009) = 5^9.969
6. Given the function f(x) = 7x determine the equation of a new function, g(x), that is reflected over
the x-axis and then shifted 4 units down.
a. g(x) = 7x + 4
b. g(x) = -7x + 4
c. g(x) = 7x - 4
d. g(x) = -7x - 4
Answer:
d. g(x) = -7x - 4
Step-by-step explanation:
If it is reflected over the x-axis, there is a negative sign to the x term.
There is a shift of 4 units, so it is -4.
The perimeter of a rectangle is 70 inches. If its length is four times its width, find the dimensions. Write an equation and solve.
Answer: Length = 28cm
Width = 7cm
Step-by-step explanation:
Let the width be represented by x.
Since the length is four times its width. Therefore, the length would be:
= 4 × x = 4x
The perimeter of a rectangle is calculated as:
= 2(length + breadth)
Therefore, 2(4x + x) = 70
2(5x) = 70
10x = 70
x = 70/10
x = 7
Therefore, width = 7cm
Length = 4x = 4 × 7 = 28cm
Graph a line that has a slope of -3 and contains the point (4,-2)
Answer:
The equation of the line is:
[tex]y = -3x+10[/tex]
The graph is attached below.
Step-by-step explanation:
Given that the line has a slope of -3, so
m = -3
As the point contains the point (4, -2), so we can use the point-slope form of the line equation to determine the line.
Point slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
so substituting the values m = -3 and the point (4, -2)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-2) = -3(x-4)[/tex]
[tex]y+2 = -3x+12[/tex]
[tex]y = -3x+12-2[/tex]
[tex]y = -3x+10[/tex]
Therefore, the equation of the line is:
[tex]y = -3x+10[/tex]
The graph is attached below.
I’ll mark brainliest what’s 1228822882-1228822882?
0
Subtract
Answer is 0
Hope this helps
God bless!
Answer:
oofff
Step-by-step explanation:
PLEASE HELP!!
Find all missing angles
Answer:
m∠2= 52° (alt. ∠s)
m∠1 +m∠2= 180° (adj. ∠s on a str. line)
m∠1 +52°= 180°
m∠1= 180° -52°
m∠1= 128°
m∠3= 47° (alt. ∠s)
m∠4 +47°= 180°
m∠4= 180° -47°
m∠4= 133°
m∠5 +52° +47°= 180° (adj. ∠s on a str. line)
m∠5 +99°= 180°
m∠5= 180° -99°
m∠5= 81°
☆ The sum of the angles of a straight line is 180°.
The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of StartFraction one-half EndFraction. Which shows the graph of this equation?
A coordinate plane with a line passing through (0, negative 2) and (4, 0).
A coordinate plane with a line passing through (0, 0.5) and (1, negative 1.5).
A coordinate plane with a line passing through (negative 2, 0) and (0, negative 1).
A coordinate plane with a line passing through (negative 3, negative 4) and (5, 0).
Answer:
Graph D
Step-by-step explanation:
Look, I'm trying here, I tried the graphing calculator and it appeared as Graph D
The graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0). Option D is correct
Equation of a lineA line is the shortest distance between two points. The equation of a line in slope intercept form is expressed as y = mx + b
where:
m is the slopeb is the y-interceptGiven the equation x - 2y = 5
Write in slope-intercept form;
-2y = -x + 5
y = 1/2 x - 5/2
We need two points passing through the line, we will find the x and y-intercept
If x = -3
y = 1/2(-3) - 5/2
y = -3/2 - 5/2
y = -4
Hence one of the coordinate point is (-3, -4)
If x = 5
y = 1/2(5) - 5/2
y = 5/2 -5/2
y = 0
Hence one of the coordinate point is (5, 0)
Hence the graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0).
Learn more on equation of a line here: https://brainly.com/question/18831322
#SPJ9
which angle has its terminal side on the negative y-axis?
A positive [tex]\frac{3\pi }{2}[/tex] radians angle’s terminal side falls on the negative y-axis.
AngleThe starting side of the angle is the primary ray, whereas the end position of the ray following rotation is the terminal side of that angle.
How to find the angle that has its terminal side on the negative y-axis?A positive 270 degree angle’s terminal side falls on the negative y-axis as shown in the figure.
Hence, a positive [tex]\frac{3\pi }{2}[/tex] radians angle’s terminal side falls on the negative y-axis.
Thus, option (B) is correct.
Consider the following figure for this.
Learn more about the angle here-
https://brainly.com/question/13954458
#SPJ2
Answer: B
Step-by-step explanation:
a train covers 165km in 1.5 hours find the constant variation
Answer:
110 km/hour
Step-by-step explanation:
distance = 165 km
time = 1.5 hours
constant of variation = distance/time
constant of variation = 165 km / 1.5 hours = 110 km/hour
Help pls !!!!!!!!!!!!!
Answer:
WOAH hold up i may be able to help you
Step-by-step explanation:
SAS- side-angle-side
you have $56 to spend on your family dinner each entree cost $8 and each cost $4
Answer:
ok I don't understand the problem.?
Step-by-step ex
There is no information here.
There isn't even a question. lol
Linear Function #3!!!
Answer:
The bottom left table
Step-by-step explanation:
The only table that is a line is the bottom left
in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the voters would vote the same way again
Answer:
86%
Step-by-step explanation:
430 × 100 = 430 = 86%
500 1 5
you are going to cancel. 100 divided by 100 leaves 1. 500 divided by 100 is 5.
430×1= 430. 5×1=5. divide 430 by 5 and you"ll get 86.