Answer:
x = 2
Step-by-step explanation:
h(x) = -3x + 2
In this question, h(x) has the same meaning as y, so though this is not a standard practice, rewrite the question as
y = -3x + 2
What the question is telling you is that y = - 4
-4 = -3x + 2 Subtract 2 from both sides
-4-2 = -3x Combine
-6 = - 3x Divide by - 3
-6/-3 = x
x = 2
I just need help with #16 … can someone please help me
Answer: it goes up like 10,20,30,40
Step-by-step explanation:
midpoint (10,5), endpoint (4, - 1)
Answer:
M=(7,2)
Step-by-step explanation:
M=(10+4/2,5+-1/2)
M=(7,2)
For what value of w is 4w = 2w - 8 ?
Answer:
w= -4
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
w is -4
Step-by-step explanation:
[tex]4w = 2w - 8[/tex]
make w the subject:
[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]
divide all sides by 2:
[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]
- 50 = 6α + 28
Help pls
Answer:
A=13
hope this helped!!!
Answer:
-13
Step-by-step explanation:
-50=6a+28
collect like terms
-50-28=6a
-78=6a
divide both sides by the coefficient of a
-78/6=6a/6
a=-13
The hypotenuse of a right triangle is 6 cm and one side is 2 cm longer than the other side. Find the length of each side to one decimal place.
Answer:
The two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.
Step-by-step explanation:
Let x be one leg of the right triangle.
Since the other leg is two centimeters longer, it can be represented by the expression:
[tex]x + 2 \text{ cm}[/tex]
According to the Pythagorean Theorem, for a right triangle:
[tex]a^2 + b^2 = c^2[/tex]
Where c is the hypotenuse and a and b are the two legs.
The hypotenuse is given to be 6 cm and the two legs are x and (x + 2). Hence:
[tex](x)^2 + (x+2)^2 = 6^2[/tex]
Solve for x. Simplify:
[tex]x^2 + (x^2 + 4x + 4) = 36[/tex]
Simplify:
[tex]2x^2 + 4x + 4 = 36[/tex]
Subtract:
[tex]2x^2 + 4x - 32 =0[/tex]
Divide:
[tex]x^2 + 2x - 16 = 0[/tex]
The equation is not factorable, so we can consider using the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]
In this case, a = 1, b = 2, and c = -16. Substitute:
[tex]\displaystyle x= \frac{-(2)\pm\sqrt{(2)^2-4(1)(-16)}}{2(1)}[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned}x &= \frac{-2\pm\sqrt{68}}{2} \\ \\ &= \frac{-2\pm\sqrt{4\cdot 17}}{2} \\ \\ &= \frac{-2\pm2\sqrt{17}}{2} \\ \\ &= -1 \pm \sqrt{17} \end{aligned}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x = -1 + \sqrt{17} \approx 3.1\text{ or } x = -1 - \sqrt{17} \approx -5.1[/tex]
Lengths cannot be negative, so we can ignore the second solution.
Hence, the value of x or the first side length is about 3.1 centimeters.
Since the other side length is two centimeters longer, the other side is about 5.1 centimeters.
In conclusion, the two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.
calculate the amount of ₹30000 at the end of 2 years 4 months , compounded annually at 10% per annum
What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?
Answer:
p(x,y)= (2,3)
Step-by-step explanation:
i have used partition formula in the pic below. If there is any question you can ask me in comment.
If the present value of my investment is $1,000 and the rate of interest is 6% compounded annually, what will the value be after 10 years?
Answer:
$1790.84
Step-by-step explanation:
The investment will have value of 1000*(1+0.06)^10=1790.84 in 10 years
3.57 x 10
write in standard form
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{3.57}\times\textsf{10}^\mathsf{3}\\\\\mathsf{10^3}\\\mathsf{\rightarrow 10\times10\times10}\\\mathsf{\rightarrow100\times10}\\\mathsf{\rightarrow 1,000}\\\\\textsf{3.57}\times\textsf{1,000}\\\rightarrow\textsf{3,570}\\\rightarrow\mathsf{3.57\times10^3}\\\\\huge\boxed{Answer: {\frak{3.57\times 10^3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
42.3952 to the nearest thousandths
Answer:
42.395
Step-by-step explanation:
the sum of two numbers is 17 and their differance is 3
Answer:
10 and 7 are the numbers
Step-by-step explanation:
Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7
The sum of two numbers is 17 and their difference is 3.
Let's define the two numbers as x and y.
Sum of two numbers is 17
x + y = 17
Their difference is 3
x - y = 3
-----------------------------------------
Solve for x
x + y = 17
x = 17 - y
now that we have x, substitued x into x - y = 3
x - y = 3
17 - y - y = 3
17 - 2y = 3
-2y = -14
y = 7
we have y, 7, now let's substitue that into one of the equations to find x
x - y = 3
x - 7 = 3
x -7 + 7 = 3 +7
x = 10
the numbers are 10 and 7
find three consecutive even integers for which -4 times the sum of the first and third is 192
Answer:
-26-24-22Step-by-step explanation:
Let x be the smallest number (first)
Let (x + 2) be the second number (second)
Let (x + 4) be the greatest number (third)
Set equation according to the given information
-4 [x + (x + 4)] = 192
Simplify parentheses
-4 [x + x + 4] = 192
-4 [2x + 4] = 192
Expand bracket and apply the distributive property
(-4) · 2x + (-4) · 4 = 192
-8x - 16 = 192
Add 16 on both sides
-8x - 16 + 16 = 192 + 16
-8x = 208
Divide -8 on both sides
-8x / -8 = 208 / (-8)
[tex]\boxed{x=-26}[/tex]
Find the value of the second term
x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]
Find the value of the third term
x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
combine like terms and simplify. 7(3y-5)-2(10+4y)
Answer: 13y - 55
Step-by-step explanation:
Given
7 (3y - 5) - 2 (10 + 4y)
Expand parentheses and apply the distributive property
=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y
=21 y - 35 - 20 - 8y
Move like terms together
=21y - 8y - 35 - 20
Combine like terms
=13y - 55
Hope this helps!! :)
Please let me know if you have any questions
3 subtract 1 and 1/2 C
Answer:
1 - 1/2 = 1/2
Step-by-step explanation:
Order the numbers from least to greatest.
A) 3.41%, 0.31, 0.314, 0.3333
B) 0.3333, 0.31, 0.314, 3.41%
C) 3.41%, 0.314, 0.3333, 3.51%
D) 0.31, 0.314, 0.333, 3.41%
Answer:
a) 3.41%, 0.31, 0.314, 0.3333
solve the following equations 6÷x=18
[tex]\boxed{\underline{\bf \: ANS WER}}[/tex]
[tex] \sf \frac{6}{x} = 18 \\ [/tex]
Variable x cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by x.
[tex] \sf \: 6=18x [/tex]
Swap sides so that all variable terms are on the left-hand side.
[tex] \sf \: 18x=6 [/tex]
Divide both sides by 18.
[tex] \sf \: x=\frac{6}{18} \\ [/tex]
Reduce the fraction [tex] \sf\frac{6}{18}[/tex] to its lowest terms by extracting and cancelling out 6.
[tex] \sf \: x=\frac{1}{3} \\ [/tex]
[tex] \sf \: x=\frac{1}{3}\approx \boxed{\underline{0.33... }}\\ [/tex]
______
Hope it helps.
ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222
Help me
6 = 1/5 (4y + 10)
Step-by-step explanation:
open the bracket
6={(1/5×4y) + 1/5×10}
6=4/5y+2
6-2=4/5y
4=4/5y
divide both sides by 4/5
y=1/5
The answer you are looking for is y=5.
Solution/Explanation:
Writing out the problem,
6=1/5(4y+10)
Using the Distributive Property,
6=4/5y+2
Subtracting 2 from both sides of the equation,
6-2=4/5y
4=4/5y
Multiplying both sides by 5, to transform the fraction into a whole number,
20=4y
Finally, dividing both sides by 4,
So, therefore the final answer is y=5.
(
Solve this equation for p:
P+1 / 2 = 3p+7/5
Answer:
p = -10
Step-by-step explanation:
[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions
6p + 14 = 5p + 5
6p - 5p = 5 - 15 subtract like terms
p = - 10
find the highest common factor of 36 and 48
Answer:
12
Step-by-step explanation:
36/12=3
48/12=4
Answer:
highest common factor of 36 and 48 is 12
4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast
Answer:
- (5/22)
Step-by-step explanation:
(12-2x+8)/3 = (6x + 15)/2
(20 - 2x)/3 = ( 6x + 15)/2
Now cross multiplication
40 - 4x = 18x + 45
-18x - 4x = 45- 40
- 22x = 5
x = - ( 5/22)
what's the Answer ?
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
Answer:
Solution given;
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]
[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]
[tex]\dfrac{15}{3}[/tex]
=5
Answer:
First, simplify the content under root:
[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]Now, use the following identity:
[tex]\sqrt{a^2} = |a|[/tex] = ± aLast, we get:
√25 = √5² = ± 5căn 0.45*0.3*6
pls help
thanks you
Answer:
0,81
Step-by-step explanation:
0.45 x 0.3 x 6
= 0,135 x 6
= 0,81
[tex] = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} [/tex]
please help, thank you so much !!
Which system of inequalities is represented by the graph? ⎧⎩⎨⎪⎪y<−12x+2y≤2x−1y≥−4 ⎧⎩⎨⎪⎪y>−12x+2y≥2x−1y≥−4 ⎧⎩⎨⎪⎪y>−2x+2y≥12x−1y≥−4 ⎧⎩⎨⎪⎪y<−2x+2y≤12x−1y≥−4
Answer: D
Step-by-step explanation:
Let say a: the line decreasing
b: the line increasing
[tex]a: \ is\ passing\ through\ (0,2)\ and\ (2,-2)\\has \ the \ slope=\frac{2+2}{0-2} =-2\\its\ equation\ is\ y-2=-2(x-0) \ or\ y=-2x+2\ or\ 2x+y-2=0 \\for\ (0,0): -2 <=0\\\\\boxed{First\ region\ is\ y\leq -2x+2}\\\\[/tex]
[tex]b:\ is\ passing\ through\ (2,0)\ and\ (-2,-2) \\has\ the\ slope \ = \frac{-2-0} {-2-2} =\frac{1} {2} \\its\ equation\ is\ y-0=\frac{1}{2}(x-2)\ or\ y=\dfrac{x}{2}-1 \ or\ -x+2y+2=0\\for\ (0,0):\ +2 > 0\\\\\boxed{Second \ region\ is\ y\leq \dfrac{x}{2}-1 }\\[/tex]
Answer is D
Plz HELPPPPPPP!!!!!!!!!!
Do you what explanation?
Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.
What will your final grade be if your homework average is 60, you quiz average is 70, and your test average is 95?
Answer:
Your final grade will be 77%
Step-by-step explanation:
40% will be from your test average which is 95
30% will be from your homework average which is 60
30% will be from your quiz average which is 70
Calculating based on these weights:
(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%
The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?
Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,
we know,
[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]
[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]
[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]
[tex] \hookrightarrow \: y = 6x + 1[/tex]
hence, measure of the third side is 6x + 1
The sum of elght and a number is one hundred. What is the number?
Answer:
92
Step-by-step explanation:
[tex]8+x=100\\\\x=92[/tex]
Answer: B. 92
Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92
Evaluate the expression
Answer:
361
Step-by-step explanation:
[tex]3 \times {11}^{2} - 2 = 361[/tex]
Answer:
361
Step-by-step explanation:
3(7+4)^2-14÷7
PEMDAS says parentheses first
3(11)^2-14÷7
Then exponents
3(121)-14÷7
Then multiply from left to right
363 -14÷7
363 -2
Subtract
361
A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.
Answer:
2.02 yards per second
Step-by-step explanation:
Distance/time= Average speed or speed
50yard/ 24.76sec= 2.01938 yards per second ~ 2.02 yards per second