MATHEMATICS HIGH SCHOOL

Help me plz A. Hormone that helps the body control the level of glucose in the blood
B. The main cause of Type 2 Diabetes
C. Condition that makes it hard for the body to control the level of glucose in the blood.
D. Damage to the pancreas caused by one’s own antibodies
E. The elevation of glucose levels in the blood
F. Found to help with the treatment of clinical depression
G. Organ where insulin is produced
H. “Good” cholesterol
I. 90% to 95% of the cases of diabetes in America
J. Hardening of the arteries caused by a build-up of fatty materials

1. Diabetes (1 point)

2. Atherosclerosis (1 point)

3. Hyperglycemia (1 point)

4. HDL (1 point)

5. Obesity (1 point)

6. Type 1 (1 point)

7. Insulin (1 point)

8. Type 2 (1 point)

9. Pancreas (1 point)

10. Regular aerobic exercise (1 point)

Answers

Answer 1

Answer:

A. Insulin

B. Diabetes

C. Hyperglycemia

G .Pancreas

H. HDL

I. Obesity

J. Atherosclerosis

Answer 2

Answer: D. Type 1
E. Hyperglycemia
F. Regular aerobic exercise

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Write a decimal equation that has a product of 3.15... Do not use one as a factor
URGENT!!! What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?
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What is the sum of the geometric series in which a1 = −2, r = 3, and an = −1,458?Sn = −2,186 Sn = −728 Sn = 2,186 Sn = 728

Solve for x. 3x^2-4x-2=0

Enter your simplified answers, as exact values, in the boxes

Answers

ANSWER

$x=\frac{2-√(10)} {3}$

or

$x=\frac{√(10)+2} {3}$

We have

$3x^2-4x-2=0$

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-(4)/(3)x= (2)/(3)$

Adding $(-(2)/(3))^2$ to both sides gives

$x^2-(4)/(3)x+(-(2)/(3))^2= (2)/(3)+(-(2)/(3))^2$

The expression on the Left Hand side is a perfect square.

$(x-(2)/(3))^2= (2)/(3)+(4)/(9)$

$\Rightarrow (x-(2)/(3))^2= (10)/(9)$

$\Rightarrow (x-(2)/(3))=\pm \sqrt{(10)/(9)}$

$\Rightarrow (x)=(2)/(3) \pm {(√(10))/(3)$

Splitting the plus or minus sign gives

$x=\frac{2- √(10)} {3}$

or

$x=\frac{√(10)+2} {3}$

Answer:

$x = (2)/(3) + (√(10) )/(3) , x = (2)/(3) - (√(10) )/(3)$

Step-by-step explanation:

Multiplying the coefficient of x by the constant to get:

3 x (-2) = -6

Find factors of -6 that equal the middle term -4.

Since, no such factors can be found so we can solve the equation by completing the square.

To complete the square, divide the equation by the coefficient of x^2 which is 3 to get:

$x^(2) - (4)/(3) x - (2)/(3) = 0$

$x^(2) - (4)/(3) x = (2)/(3)$

Now divide the coefficient of x by 2 and add the square of the result to both sides of the equation:

$x^(2) - (4)/(3) x + (-(2)/(3) )^(2) = (2)/(3) + (-(2)/(3) )^(2)$

$(x - (2)/(3) )^2 = (2)/(3) + (4)/(9)$

$(x - (2)/(3) )^2 = (4)/(9)$

$\sqrt{(x - (2)/(3) )^2} = \sqrt{(4)/(9) }$

$x - (2)/(3) = \sqrt{(10)/(9) }$ , $x - (2)/(3) = -\sqrt{(10)/(9) }$

$x = (2)/(3) + (√(10) )/(3) , x = (2)/(3) - (√(10) )/(3)$

Write the vertex form equation for this parabola: Focus (3,-9), Directrix X=-3

Answers

Y=KX+M
-9=(-3/9)*-3+m
-9=1+M
M=-10

Y=(-3/9)-10 is the answer

Can i please get help with this question?

Answers

The answer is 3.88888888889

The answer is 35/9

You first would remove the parentheses

Next you see that there is a subtraction symbol and a negative symbol right beside each other. You cant have 2 negatives side by side, so you change the symbol to addition

The problem then looks like this: 5/9 + 3 1/3

To make the problem easier you change the mixed number (3 1/3) to an improper fraction which is 10/3

Because its 5/9 + 10/3 you multiply 10 and 3 and get 30, and you keep the LCD (least common denominator) which is 9

Finally you add 5 + 30 = 35 and have 9 as your denominator

35/9 or 3 8/9

What is the solution to the inequality??: 1 2 x + 8 ≤ 3

Answers

1/2x+8<3
isolate the x and divide so
subtract 8
1/2x<-5
multiply both sides by 2/1 to clear fraction
x<-10

The solution to the given inequality is determined as x ≤ -5/12

What is the solution to the inequality?

The solution of the inequality is calculated as follows;

The given inequality equation:

12x + 8 ≤ 3

Start by subtracting 8 from both sides of the inequality:

12x + 8 - 8 ≤ 3 - 8

12x ≤ -5

Divide both sides of the inequality by 12:

(12x)/12 ≤ (-5)/12

x ≤ -5/12

Thus, the solution to the given inequality is x ≤ -5/12

Learn more about inequality here: brainly.com/question/24372553

#SPJ6

Identify the domain and range
with steps please (picture below)

Answers

$D:x-1\geq0\n D:x\geq1\n\n$

$\hbox{ range of } \sqrt {x-1} \hbox{ is } \langle0,\infty)\n \hbox{ range of } -(3)/(4)\sqrt {x-1} \hbox{ is } \langle-(3)/(4)\cdot0,-(3)/(4)\cdot\infty)=(-\infty,0\rangle\n \hbox{ range of } -(3)/(4)\sqrt {x-1}+4 \hbox{ is } (-\infty+4,0+4\rangle=(-\infty,4\rangle\n$

What is defined as the replacement of one skewed vector by two perpendicular vectors that when acting jointly have the same net effect as the original vector?

Answers

Answer: Vector Resolution

Step-by-step explanation:

Vector components can form right triangle, since one acts vertically and the other acts horizontally. Thus, the original vector forms the hypotenuse of the right triangle formed by its components.

The process of breaking a vector down into its components is called vector resolution.

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