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3 years ago

Evaluate 7y+13-4z when y=5 and z=9

2 answers:

8 0

7y + 13 - 4z
We have y=5 and z =9.
Everything you need to do is replace y by it's value, and z by it's value, and calculate following the orders of operations.
7*5 + 13 - 4*9
First, you calculate the multiplications, then you subtract and add.
35 + 13 - 36 = -1 + 13 = 12

Hope this Helps! :)

Gwar [14]3 years ago

6 0

7y add 13 minus 4z Y=5 z=9 7 times y=35 4 times z=36 35 add 13 minus 36 35 add 13=48 48 minus 36=12 Answer=12

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Solving two-step equations 5x+8=23

andrey2020 [161]

You have to subtract 8 from the left and then 8 from the right. If you do that then you'll have 5x=15.
Then you divide "x" by 5 and 15 by 5.
X=3

7 0

2 years ago

Read 2 more answers

The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.

Tema [17]

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = $\frac{5+1}{k-4}$ = $\frac{6}{k-4}$ = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

3 0

3 years ago

Help me ASAP please :( Type the correct answer in each box. Write your answers as fractions, using / as the fraction bar, and wr

Alla [95]

Answer:

see explanation

Step-by-step explanation:

Using the laws of logarithms

• log x - log y = log( $\frac{x}{y}$ )

• $log_{b}$ x = n ⇔ x = $b^{n}$

Hence

$log_{x}$ ( $\frac{8x-3}{4}$ ) = 2, hence

$\frac{8x-3}{4}$ = x² ( multiply both sides by 4 )

8x - 3 = 4x² ← rearrange into standard form

Subtract 8x - 3 from both sides

4x² - 8x + 3 = 0 ← in standard form

(2x - 1)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $\frac{1}{2}$

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = $\frac{3}{2}$

4 0

3 years ago

F(x)=-3/4x+9 what are the steps for finding f^-1(x)

ozzi

The inverse function $f^{-1}(x)$ is such that

$f\left(f^{-1}(x)\right) = x$

If $f(x)=-\frac34x+9$ , then we have

$f\left(f^{-1}(x)\right) = -\dfrac34f^{-1}(x)+9 = x$

Solve for the inverse :

$-\dfrac34f^{-1}(x)+9 = x \\\\ -\dfrac34f^{-1}(x) = x-9 \\\\ f^{-1}(x) = -\dfrac43(x-9) \\\\ \boxed{f^{-1}(x) = -\dfrac43x+12}$

5 0

2 years ago

Which statement is accurate for the right triangle shown below? Ꮎ 50 1 a 47

jeka57 [31]

Answer:

The statement that is accurate is csc(θ)=1.06

Step-by-step explanation:

Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.

Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.

So:

cotθ=adjacent/opposite = 17/47= 0.36

cscθ=hypotenuse/opposite = 50/47=1.06

Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06

Therefore, the statement that is accurate is csc(θ)=1.06.

6 0

3 years ago