Answer:
(5, -1)
Step-by-step explanation:
Equation 1: 3x + y = 14
Equation 2: 2x - 2y = 12
Rewrite equation 1 to make y the subject:
⇒ y = 14 - 3x
Substitute this into equation 2 and solve for x:
⇒ 2x - 2(14 - 3x) = 12
⇒ 2x - 28 + 6x = 12
⇒ 8x - 28 = 12
⇒ 8x = 40
⇒ x = 5
Substitute found value for x into either equation and solve for y:
using equation 1:
⇒ 3(5) + y = 14
⇒ 15 + y = 14
⇒ y = -1
Therefore, the solution to the system is (5, -1)
Please help I don’t understand this
Answer: Two numbers have a sum of 1, 212 and a difference of 518. What are the two numbers? Let x represent one number and y represent the other number. The solution is (865,347).
Step-by-step explanation:
Which linear equation can be derived from this proportion?
Answer:
You're ANSWER IS CORRECT !
( A )
Step-by-step explanation:
[tex]\frac{(x-9)(5)(x-3)}{x-3} = \frac{2(5)(x-3)}{5}[/tex]
5( x - 9 ) = 2( x - 3 ) -- cross multiply
5x - 45 = 2x - 6
OR...
2x - 6 = 5x - 45
I need help please!! Please answer with an explanation steps by steps please
Answer:
send me a message I think I can help
have a nice day
Step-by-step explanation:
Write 13 3/8 as a decimal
Answer:
13.375
Step-by-step explanation:
13+3/8=13+0.375
therefore
ans
=13.375
Triangle A BC is similar to triangle DEF. What are the lengths of sides DF and EF?
Answer:
DF = 4
EF = 1.6
Step-by-step explanation:
The scale factor is 1.25 because 5(big shape) ÷ 4(small shape) is 1.25.
To find EF, 2÷1.25 = 1.6
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
a
Step-by-step explanation:
(19.5-17)/ 19.5 = .12820
.12820*100= 12.82%
Help me pls and thanks
A square patio has a perimeter of (16x + 12) feet. What is the length of the patio?
Solution:
Note that:
Squares always have equal sides and angles.Perimeter of square patio: (16x + 12) ft.Factorize the perimeter.
16x + 12=> 4(4x + 3) ft.Find the length of the patio.
4(4x + 3)/4=> 4x + 3 ft.The length of the square patio is 4x + 3 ft.
(5.0A.B.3)
1.
Use the table below to answer questions
1 and 2.
Term
Number
1
2
3
4
6
Sequence 1
4
8
12
16
24
... ...
Sequence 2
12
24 | 36 | 48
?
2.
What
Answer:
you look at the sequence in which the pattern is moving
On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is 16 feet. Express this ratio relationship as two different rates. Make sure to label each rate with the appropriate rate unit.
Reporting any spam or fake answers, giving 30p
8⇒ Increase in salary after you have completed the first year of your apprenticeship, if completed in line with your development objectives
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Involvement in our ambitious sustainability vision, volunteering an active role to champion specific community groups including LGBTQ+ 'Flying Proud' and ethnic minority colleague network Be ME
Which of the lines is a line of symmetry for the object ?
Answer: None of these lines
Step-by-step explanation: None of these lines, because there is no way to fold it, giving you a symmetrical object.
PLEASE HELP WILL MARK BRAINLIEST
Two angles are supplementary. The measure of one angle
is 16 more than two times the measure of the other
angle. How many degrees are in each angle?
Answer:
The angles are 54 2/3 degrees and 115 1/3 degrees
Step-by-step explanation:
make an equation for the angles x being one angle and y being the other
16+ 2x =y
Supplementary angles add to 180
x + y = 180
Fill in y with the first equation
x + 16 +2x =180
simplify
3x +16 =180
subtract 16 from both sides
3x = 164
divide both sides by 3
x = 54 2/3
Insert the value of x into the first equation then simplify
16 + 2(54 2/3) =y
16 + 109 1/3 =y
115 1/3 =y
Which function has a vertex at (2, -9)?
O f(x) = -(x - 3)2
O f(x) = (x + 8)2
O f(x) = (x - 5)(x + 1)
f(x) = -(x - 1)(x - 5)
The function [tex]f(x)=\left(x-5\right)\left(x+1\right)[/tex] has a vertex at (2, -9).
Quadratic functionThe quadratic function can be represented by a quadratic equation in the Standard form: [tex]ax^2+bx+c[/tex] where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero ([tex]a\neq 0[/tex]) and the degree of the function must be equal to 2.
For solving this question, you should find the vertex of quadratic equation (h,k). Where, [tex]h=-\frac{b}{2a}[/tex] . On the other hand, the value of the k-coordinate will be found when you replace the value of h in the equation of your question.
1. [tex]f(x)=-(x-3)^2[/tex]
Write this equation in Standard form:
[tex]f(x)=-(x^2-6x+9)\\ \\ f(x)=-x^2+6x-9[/tex]
Find h, using the formula [tex]h=-\frac{b}{2a}[/tex]
[tex]h=-\frac{b}{2a} =-\frac{6}{2*(-1)} =-\frac{6}{-2}=-(-3)=3[/tex]
Find k, replacing x for the value of h
[tex]-x^2+6x-9\\ \\ -(3)^2+6*3-9=-9+18-9=-18+18=0[/tex]
The vertex of quadratic equation is (3,0). Incorrect Option.
2. [tex]f(x)=(x+8)^2[/tex]
Write this equation in Standard form:
[tex]f(x)=x^2+16x+64[/tex]
Find h, using the formula [tex]h=-\frac{b}{2a}[/tex]
[tex]h=-\frac{b}{2a} =-\frac{16}{2*1} =-\frac{16}{2}=-8[/tex]
Find k, replacing x for the value of h
[tex]x^2+16x+64\\ \\ (-8)^2+16*(-8)+64=64-128+64=128-128=0[/tex]
The vertex of quadratic equation is (-8,0). Incorrect Option.
3. [tex]f(x)=\left(x-5\right)\left(x+1\right)[/tex]
Write this equation in Standard form:
[tex]f(x)=(x^2+x-5x-5)\\ \\ f(x)=(x^2-4x-5)[/tex]
Find h, using the formula [tex]h=-\frac{b}{2a}[/tex]
[tex]h=-\frac{b}{2a} =-\frac{-4}{2*1} =-\frac{-4}{2}=-(-2)=2[/tex]
Find k, replacing x for the value of h
[tex]x^2-4x-5\\ \\ 2^2-4*2-5=4-8-5=-4-5=-9[/tex]
The vertex of quadratic equation is (2,-9). Correct Option.
4. [tex]f(x)=-\left(x-1\right)\left(x-5\right)[/tex]
Write this equation in Standard form:
[tex]f(x)=-\left(x-1\right)\left(x-5\right)\\ \\ f(x)=-(x^2-5x-x+5)\\ \\ f(x)=-(x^2-6x+5)\\ \\ f(x)=-x^2+6x-5[/tex]
Find h, using the formula [tex]h=-\frac{b}{2a}[/tex]
[tex]h=-\frac{b}{2a} =-\frac{6}{2*(-1)} =-\frac{6}{-2}=-(-3)=3[/tex]
Find k, replacing x for the value of h
[tex]-x^2+6x-5\\ \\ -(3)^2+6*3-5=-9+18-5=18-14=4[/tex]
The vertex of quadratic equation is (3,4). Incorrect Option.
Learn more about the vertex of the quadratic function here:
https://brainly.com/question/26203210
Find the inverse of the rational function
F(x)= 2x/x+3, x≠-3
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
[tex]\stackrel{f(x)}{y}~~ = ~~\cfrac{2x}{x+3}\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{2y}{y+3}}\implies xy+3x=2y\implies xy-2y+3x=0 \\\\\\ xy-2y=-3x\implies \stackrel{\textit{common factoring}}{y(x-2)=-3x}\implies y=\cfrac{-3x}{x-2}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{3x}{2-x}[/tex]
Question 2
Thank youuuu
Answer:
x=16⁰
Step-by-step explanation:
I AM NOT QUITE SURE OF THE ANSWER, but they are vertically opposite angles which in turn means that they are equal.
so you can equate the two sums they have given.
3x-3 = 2x+13
Take the numerical terms onto the right hand side and the 'x-terms' to the left hand side.
3x-2x = 13+3
That would leave you with,
x=16⁰
solve this question...
Answer:
x=3
Step-by-step explanation:
6x+5=3x+14
Group like terms:
6x-3x=14-5
3x=9
Divide both sides by 3 to get x:
x=3
Two angles of a quadrilateral measure 219° and 24°. The other two angles are in a ratio of 2:11. What are the measures of those two angles?
Answer: 18 and 99 degrees
Step-by-step explanation:
The sum of the measures of the other 2 angles is 360 - 219 - 24 = 117 degrees.
So the other two angles measure (2/13)(117)=18 degrees and (11/13)(117)=99 degrees
PLEASEEE HELP!!!!!!!!!THIS IS HARD I WILL GIVE BRAINLIEST!!
1.Select the best estimate for the diameter of a dinner plate.
A. 25 mm
B. 25 cm
C. 2,500 mm
D. 25 m
2.Select the best estimate for the diameter of a quarter.
A. 0.20 mm
B. 20 mm
C. 200 mm
D. 20 cm
3.Estimate the length of a sheet of notebook paper.
A. 24 mm
B. 2.4 cm
C. 24 cm
D. 2.4 mm
4.Choose the set of measurements listed in order from least to greatest.
A. 5 g, 5 g, 5 mg
B. 5 g, 5 mg, 5 kg
C. 5 mg, 5 g, 5 kg
D. 5 mg, 5 kg, 5 g
5.Choose the set of measurements listed in order from greatest to least.
A. 20 kl, 20 L, 20 ml
B. 20 L, 20 ml, 20 kl
C. 20 ml, 20 L, 20 kl
D. 20 ml, 20 kl, 20 L
6.Choose the best estimate for the capacity of a soup bowl.
A. 50 ml
B. 60 ml
C. 5 kl
D. 0.5 L
7.Estimate the length of a new, unsharpened pencil.
A. 18 mm
B. 8 cm
C. 18 cm
D. 8 m
8.Choose the best estimate for the capacity of a bath tub.
A. 5 ml
B. 500 ml
C. 50 cl
D. 500 L
9.Choose the best estimate for the mass of a raisin.
A. 0.2 g
B. 2 g
C. 20 g
D. 200 g
10.Choose the best estimate for the mass of an apple.
A. 25 g
B. 250 g
C. 1,000 g
D. 2,000 g
Answer:
The following are the answers.
Step-by-step explanation:
1.A; I think the rest are too big to he the diameter of a dinner.
2. B
3.C
4.C
5.B
6.B
7.C
8.C
9. Its basically 1g but you can choose 2g or 0.2g
10. 250g.....but I know it as 100g that is 0.1kg
THIS IS WHAT I THINK THEY ARE......I'M JUST TRYING IT..
The film starts at 6.45 pm The film last 102 minutes what time dose the film finish
Answer:
102 minutes=1 hour and 42 minutes
6:45+1 hour and 42 minutes=8:27 p.m.
hence, the answer is 8:27 pm
hope this helped.
Write 5√7 using rational exponents
Answer:
7*(5)^0,5
:D hope it helps
Please answer the question in the picture
Answer:
It is A because rational numbers and rational expressions are closed under multiplication.
Step-by-step explanation:
Hope this helps! Please mark brainliest :)
In
nearest 10th of a square centimeter.
Answer:
its be 9th of square centimeter
18. What is the
scale factor?
4cm 16cm
Answer:
1:4
Step-by-step explanation:
4 ÷ 4 = 1
16 ÷ 4 = 4
4:16 ratio simplified is 1:4
Answer:
4 : 16 or1 : 4Step-by-step explanation:
What is the
scale factor?
4cm 16cm
4 : 16
semplified
1 : 4
Find the slope
-3/5
3/5
5/3
-5/3
Answer:
-5/3
Step-by-step explanation:
We have two points on the line ( 0,2) and ( 3, -3) so we can use the slope formula to find the slope
m = ( y2 -y1)/(x2-x1)
= ( -3 -2)/(3-0)
= -5/3
Q.1. What is the sum of 130+125+191?
A. 335
B. 456
C. 446
D. 426
Answer:
Step-by-step explanation:
130 + 125 + 191 = 446, so choice (C)
Hope that helps!
HELP ME I NEED TO GRAPH THIS ASAP
Answer:
f(x)=-3/2x+3
Step-by-step explanation:
y intercept is 3, slope is -3/2
f(x)=-3/2x+3
Take 2 points
(0,3)(2,0)Slope:-
[tex]\\ \rm\Rrightarrow m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}[/tex]
Equation of line in point slope form
[tex]\\ \rm\Rrightarrow y-3=-3/2x[/tex]
[tex]\\ \rm\Rrightarrow y=-3/2x+3[/tex]
12. Rileigh plays softball. She has 12 softball
bats, 4 helmets, 20 softballs, and 6 gloves.
What is the ratio of gloves to softballs?
Answer:
3:10
Step-by-step explanation:
i did it on paper and took a test on ratios a while ago and i got this answer have a good day and i hope you get a 100 :)
whats the answer to 8/9 divided by 3/8
Answer:
[tex]\frac{64}{27}[/tex]
Step-by-step explanation:
We can use the "keep-change-flip" method to divide fractions
Keep: [tex]\frac{8}{9}/\frac{3}{8}[/tex]
Change: [tex]\frac{8}{9}*\frac{3}{8}[/tex]
Flip: [tex]\frac{8}{9}*\frac{8}{3}[/tex]
Now we can solve by multiplying across:
[tex]\frac{8}{9}*\frac{8}{3} =\frac{8*8}{9*3} =\frac{64}{27}[/tex]
Answer:
2 10/27
Step-by-step explanation:
8/9 / 3/8 = 8x8 / 9 x 3 = 64/27
64/27 = 2 10/27
❗❗100POINTS❗❗+BRAINLIEST FOR CORRECT ANSWER
Show that 8x²-6x-275=0
thanks.
Answer:
(4x -25), (2x + 11)
Step-by-step explanation:
STEP1: Equation at the end of step 1
(23x2 - 6x) - 275
STEP2: Trying to factor by splitting the middle term
2.1 Factoring 8x2-6x-275
The first term is, 8x2 its coefficient is 8 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is -275
Step-1 : Multiply the coefficient of the first term by the constant 8 • -275 = -2200
Step-2 : Find two factors of -2200 whose sum equals the coefficient of the middle term, which is -6 .
-2200 + 1 = -2199 -1100 + 2 = -1098 -550 + 4 = -546 -440 + 5 = -435 -275 + 8 = -267 -220 + 10 = -210 -200 + 11 = -189 -110 + 20 = -90 -100 + 22 = -78 -88 + 25 = -63 -55 + 40 = -15 -50 + 44 = -6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -50 and 44
8x2 - 50x + 44x - 275
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (4x-25)
Add up the last 2 terms, pulling out common factors :
11 • (4x-25)
Step-5 : Add up the four terms of step 4 :
(2x+11) • (4x-25)
Which is the desired factorization
Final result :
(4x - 25) (2x + 11)
Hope this helps a bit
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(Sum\:of\: parallel\:sides)(Height)=133[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(x+5+3x-2)(2x-3)=133[/tex]
[tex]\\ \rm\hookrightarrow 4x+3(2x-3)=266[/tex]
[tex]\\ \rm\hookrightarrow 4x(2x-3)+3(2x-3)=266[/tex]
[tex]\\ \rm\hookrightarrow 8x^2-12x+6x-9=266[/tex]
[tex]\\ \rm\hookrightarrow 8x^2-6x-275=0[/tex]
Explain how you could use estimation to get an appoximate answer for the expression below. (11.6+7.3) - (6.2 x 2.1)
Answer:
(11.6+7.3) - (6.2 × 2.1)
(18.9)-(13.02)
= 149.1